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Financial Mathematics - BSc (Hons)
The Financial Mathematics programme provides a thorough grounding in the mathematical concepts, tools and skills needed to understand financial decision making. It offers you the opportunity to study financial theory and applications built on rigorous foundations within a friendly and highly successful department.
You gain access to knowledge and capabilities that are valued by financial sector employers, corporations and postgraduate academic programmes. In combination with specialised finance and economics topics, the programme incorporates core mathematical principles, probability and inference, and a range of statistical concepts and techniques. In addition, you have a chance to develop communication and personal skills.
The degree consists of compulsory modules, especially in the first two years, and some optional modules to suit your interests and goals.
Independent rankings
Mathematics at Kent was ranked 19th for course satisfaction in The Guardian University Guide 2017. For graduate prospects, Mathematics was ranked 19th in The Complete University Guide 2017.
Course structure
The following modules are indicative of those offered on this programme. This listing is based on the current curriculum and may change year to year in response to new curriculum developments and innovation. Most programmes will require you to study a combination of compulsory and optional modules. You may also have the option to take 'wild' modules from other programmes offered by the University in order that you may customise your programme and explore other subject areas of interest to you or that may further enhance your employability.
Stage 1
Possible modules may include:
MA306 - Statistics (15 credits)
Increasingly data are collected to inform future decisions, varying from which websites people access on a regular basis to how patients respond to new drugs, to how the stock market responds to global events, or to how animals move around their local habitat. Therefore, most professionals will need to extract useful information from data and to manage and present data in their working lives. This module explores some of the basic concepts of statistics, from data summarisation to the main methods of statistical inference. The techniques that are discussed can be used in their own right for simple statistical analyses, but serve as an important foundation for later, more advanced, modules. The statistical computing package R is used throughout the module for data analysis. The syllabus includes: an introduction to R and investigating data sets, sampling and sampling distributions, point and interval estimation, hypothesis testing, association between variables.
Credits: 15 credits (7.5 ECTS credits).
MA309 - Business Economics (15 credits)
The aim of this module is to introduce students to the core economic principles and how these could be used in a business environment to help decision making and behaviour. The coverage is aimed at being sufficient to enable students to gain exemptions from the Actuarial professional examinations, whilst also giving a coherent coverage of the material suitable for other degree programmes, where understanding economic concepts and principles is beneficial. The syllabus includes: the working of competitive markets, consumer demand and behaviour, product selection, marketing and advertising strategies, costs of production, production function, revenue and profit, profit maximisation under perfect competition and monopoly, imperfect competition, business strategy, the objectives of strategic management, firms' growth strategy, pricing strategies, government intervention, international trade, balance of payment and exchange rates, the role of money and interest rates in the economy, the level of business activity, unemployment, inflation and macroeconomic policy.
Marks on this module can count towards exemption from the professional examination CT7 of the Institute and Faculty of Actuaries. Please see http://www.kent.ac.uk/casri/Accreditation/index.html for further details.
Credits: 15 credits (7.5 ECTS credits).
MA345 - Introduction to Finance (15 credits)
Time value of money: Basic concepts, Compounding to determine future values, Inflation,
Financial valuation and cash flow analysis: Discounting, Interest rates and time requirements, Future and Present value. Project Evaluation
Characteristics of different financial securities: Debt capital, bonds and stocks, valuation of bonds and stocks
Terminology in finance: Securities markets, primary market, secondary securities markets, the role of the various financial markets.
Credits: 15 credits (7.5 ECTS credits).
MA347 - Linear Mathematics (15 credits)
This module serves as an introduction to algebraic methods and linear algebra methods. These are central in modern mathematics, having found applications in many other sciences and also in our everyday life.
Topics covered will include:
Basic set theory: introduction to sets, operations on sets (union, intersection, Cartesian product, complement), basic counting (inclusion-exclusion for 2 sets).
Functions and Relations: injective, surjective, bijective functions. Permutations, sign of a permutation. The Pigeonhole Principle. Cardinality of sets. Binomial coefficients, Binomial Theorem. Equivalence relations and partitions.
Systems of linear equations and Gaussian elimination: operations on systems of equations, echelon form, rank, consistency, homogeneous and non-homogeneous systems.
Matrices: operations, invertible matrices, trace, transpose.
Determinants: definition, properties and criterion for a matrix to be invertible.
Vector spaces: linearly independent and spanning sets, bases, dimension, subspaces.
Linear Transformations: Definition. Matrix of a Linear Transformation. Change of Basis.
Diagonalisation: Eigenvalues and Eigenvectors, invariant spaces, sufficient conditions.
Bilinear forms: inner products, norms, Cauchy-Schwarz inequality.
Orthonormal systems: the Gram-Schmidt process.
Credits: 15 credits (7.5 ECTS credits).
MA348 - Mathematical Methods 1 (15 credits)
This module introduces widely-used mathematical methods for functions of a single variable. The emphasis is on the practical use of these methods; key theorems are stated but not proved at this stage. Tutorials and Maple worksheets will be used to support taught material.
Complex numbers: Complex arithmetic, the complex conjugate, the Argand diagram, de Moivre's Theorem, modulus-argument form; elementary functions
Polynomials: Fundamental Theorem of Algebra (statement only), roots, factorization, rational functions, partial fractions
Single variable calculus: Differentiation, including product and chain rules; Fundamental Theorem of Calculus (statement only), elementary integrals, change of variables, integration by parts, differentiation of integrals with variable limits
Scalar ordinary differential equations (ODEs): definition; methods for first-order ODEs; principle of superposition for linear ODEs; particular integrals; second-order linear ODEs with constant coefficients; initial-value problems
Curve sketching: graphs of elementary functions, maxima, minima and points of inflection, asymptotes
Credits: 15 credits (7.5 ECTS credits).
MA349 - Mathematical Methods 2 (15 credits)
This module introduces widely-used mathematical methods for vectors and functions of two or more variables. The emphasis is on the practical use of these methods; key theorems are stated but not proved at this stage. Tutorials and Maple worksheets will be used to support taught material.
Vectors: Cartesian coordinates; vector algebra; scalar, vector and triple products (and geometric interpretation); straight lines and planes expressed as vector equations; parametrized curves; differentiation of vector-valued functions of a scalar variable; tangent vectors; vector fields (with everyday examples)
Partial differentiation: Functions of two variables; partial differentiation (including the chain rule and change of variables); maxima, minima and saddle points; Lagrange multipliers
Integration in two dimensions: Double integrals in Cartesian coordinates; plane polar coordinates; change of variables for double integrals; line integrals; Green's theorem (statement justification on rectangular domains only)
Credits: 15 credits (7.5 ECTS credits).
MA351 - Probability (15 credits)
Introduction to Probability. Concepts of events and sample space. Set theoretic description of probability, axioms of probability, interpretations of probability (objective and subjective probability).
Theory for unstructured sample spaces. Addition law for mutually exclusive events. Conditional probability. Independence. Law of total probability. Bayes' theorem. Permutations and combinations. Inclusion-Exclusion formula.
Discrete random variables. Concept of random variable (r.v.) and their distribution. Discrete r.v.: Probability function (p.f.). (Cumulative) distribution function (c.d.f.). Mean and variance of a discrete r.v. Examples: Binomial, Poisson, Geometric.
Continuous random variables. Probability density function; mean and variance; exponential, uniform and normal distributions; normal approximations: standardisation of the normal and use of tables. Transformation of a single r.v.
Joint distributions. Discrete r.v.'s; independent random variables; expectation and its application.
Generating functions. Idea of generating functions. Probability generating functions (pgfs) and moment generating functions (mgfs). Finding moments from pgfs and mgfs. Sums of independent random variables.
Laws of Large Numbers. Weak law of large numbers. Central Limit Theorem.
Credits: 15 credits (7.5 ECTS credits).
MA352 - Real Analysis 1 (15 credits)
Topics covered will include:
Real Numbers: Rational and real numbers, absolute value and metric structure on the real numbers, induction, countability and uncountability, infimum and supremum.
Limits of Sequences: Sequences, definition of convergence, epsilon terminology, uniqueness, algebra of limits, comparison principles, standard limits, subsequences and non-existence of limits, convergence to infinity.
Completeness Properties: Cantor's Intersection Theorem, limit points, Bolzano-Weierstrass theorem, Cauchy sequences.
Continuity of Functions: Functions and basic definitions, limits of functions, continuity and epsilon terminology, sequential continuity, Intermediate Value Theorem.
Differentiation: Definition of the derivative, product rule, quotient rule and chain rule, derivatives and local properties, Mean Value Theorem, L'Hospital's Rule.
Taylor Approximation: Taylor's Theorem, remainder term, Taylor series, standard examples, O and o notation, limits using Taylor series.
Credits: 15 credits (7.5 ECTS credits).
Stage 2
Possible modules may include:
MA517 - Corporate Finance for Financial Mathematics (15 credits)
This module introduces and explores a range of topics relating to corporate finance which are fundamental to understanding why and how companies raise money to start a business or expand an existing one. The module covers the different ways that the money can be raised, for example from a bank or through a stocks and shares market, and the interest rate or investment return that an investor will expect to receive from a company in order to provide the money required. This is a very practical module to the extent that it will help students develop business awareness in the field of company finance. Reference will often be made to actual happenings in the financial markets in support of the material covered.
Credits: 15 credits (7.5 ECTS credits).
MA519 - Economics 2 (15 credits)
This module examines recent developments and methodologies in economics and the links between the theory and practical application. Micro- and macroeconomic models of economic behaviour are developed and analysed. The syllabus includes: consumer demand, firms and supply; uncertainty and assets; macroeconomic measures; developments in growth theory; borrowing, lending and the inter-temporal budget constraint, consumption and investment theory, fiscal and monetary policy.
Credits: 15 credits (7.5 ECTS credits).
MA535 - Portfolio Theory and Asset Pricing Models (15 credits)
An investor needs an assortment of tools in their toolkit to weigh up risk and return in alternative investment opportunities. This module introduces various measures of investment risk and optimal investment strategies using modern portfolio theory. Pricing of assets using the classical capital asset pricing model and arbitrage pricing theory are discussed. The theory of Brownian motion is used to analyse the behaviour of the lognormal model of asset prices, which is then compared with the auto-regressive Wilkie model of economic variables and asset prices. Principles of utility theory, behavioural finance and efficient market hypothesis provide the context from an investor's perspective. Outline syllabus includes: Measures of investment risk, Mean-Variance Portfolio Theory, Capital Asset Pricing Model, Arbitrage Pricing Theory, Brownian Motion, Lognormal Model, Wilkie Model, Utility Theory and Stochastic Dominance, Efficient Market Hypothesis and Behavioural Finance.
Marks on this module can count towards exemption from the professional examination CT8 of the Institute and Faculty of Actuaries. Please see http://www.kent.ac.uk/casri/Accreditation/index.html for further details.
Credits: 15 credits (7.5 ECTS credits).
MA552 - Analysis (15 credits)
This module will consider many concepts you know from Calculus and put them on a more rigorous basis. The concept of a limit is basic to Calculus and, unless this concept is defined precisely, uncertainties and paradoxes will creep into the subject. Based on the foundation of the real number system, this module develops the theory of convergence of sequences and series and the study of continuity and differentiability of functions. The notion of Riemann integration is also explored. The syllabus includes the following: Sequences and their convergence. The convergence of bounded increasing sequences. Series and their convergence: the comparison test, the ratio test, absolute and conditional convergence, the alternating series test. Continuous functions: the boundedness theorem, the Intermediate Value Theorem. Differentiable functions: The Mean Value Theorem with applications, power series, Taylor expansions. Construction and properties of the Riemann integral.
Credits: 15 credits (7.5 ECTS credits).
MA553 - Linear Algebra (15 credits)
Systems of linear equations appear in numerous applications of mathematics. Studying solution sets to such systems leads to the abstract notions of a vector space and a linear transformation. Matrices can be used to represent linear transformations and to do concrete calculations. This module is about the properties of vector spaces, linear transformations and matrices. The syllabus includes: vector spaces, linearly independent and spanning sets, bases, dimension, subspaces, linear transformations, the matrix of a linear transformation, similar matrices, the determinant, diagonalisation, bilinear forms, norms, and the Gram-Schmidt process.
Credits: 15 credits (7.5 ECTS credits).
MA629 - Probability and Inference (15 credits)
This module is a pre-requisite for many of the other statistics modules at Stages 2, 3 and 4, but it can equally well be studied as a module in its own right, extending the ideas of probability and statistics met at Stage 1 and providing practice with the mathematical skills learned in MA321. It starts by revising the idea of a probability distribution for one or more random variables and looks at different methods to derive the distribution of a function of random variables. These techniques are then used to prove some of the results underpinning the hypothesis test and confidence interval calculations met at Stage 1, such as for the t-test or the F-test. With these tools to hand, the module moves on to look at how to fit models (probability distributions) to sets of data. A standard technique, known as the method of maximum likelihood, is introduced, which is then used to fit the model to the data to obtain point estimates of the model parameters and to construct hypothesis tests and confidence intervals for these parameters. Outline Syllabus includes: Joint, marginal and conditional distributions of discrete and continuous random variables; Generating functions; Transformations of random variables; Sampling distributions; Point and interval estimation; Properties of estimators; Maximum likelihood; Hypothesis testing; Neyman-Pearson lemma; Maximum likelihood ratio test.
Credits: 15 credits (7.5 ECTS credits).
MA632 - Regression Models (15 credits)
Regression is a fundamental technique of statistical modelling, in which we aim to model a response variable using one or more explanatory variables. For example, we might want to model the yield of a chemical process in terms of the temperature and pressure of the process. The need for statistical modelling arises because even when temperature and pressure are fixed, there will typically be variation in the resulting yield, so the model must include a random component. In this module we study the broad class of linear regression models, which are widely used in practice. We learn how to formulate such models and fit them to data, how to make predictions with associated measures of uncertainty, and how to select appropriate explanatory variables. Both theory and practical aspects are covered, including the use of computer software for regression. Outline of the syllabus: simple linear regression; the method of least squares; sums of squares; the ANOVA table; residuals and diagnostics; matrix formulation of the general linear model; prediction; variable selection; one-way analysis of variance; practical regression analysis using software; logistic regression.
Credits: 15 credits (7.5 ECTS credits).
Stage 3
Possible modules may include:
MA636 - Stochastic Processes (15 credits)
A stochastic process is a process developing in time according to probability rules, for example, models for reserves in insurance companies, queue formation, the behaviour of a population of bacteria, and the persistence (or otherwise) of an unusual surname through successive generations.The syllabus will include coverage of a wide variety of stochastic processes and their applications: Markov chains; processes in continuous-time such as the Poisson process, the birth and death process and queues.
Marks on this module can count towards exemption from the professional examination CT4 of the Institute and Faculty of Actuaries. Please see http://www.kent.ac.uk/casri/Accreditation/index.html for further details.
Credits: 15 credits (7.5 ECTS credits).
MA639 - Time Series Modelling and Simulation (15 credits)
A time series is a collection of observations made sequentially in time. Examples occur in a variety of fields, ranging from economics to engineering, and methods of analysing time series constitute an important area of statistics. This module focuses initially on various time series models, including some recent developments, and provides modern statistical tools for their analysis. The second part of the module covers extensively simulation methods. These methods are becoming increasingly important tools as simulation models can be easily designed and run on modern PCs. Various practical examples are considered to help students tackle the analysis of real data.The syllabus includes: Difference equations, Stationary Time Series: ARMA process. Nonstationary Processes: ARIMA Model Building and Testing: Estimation, Box Jenkins, Criteria for choosing between models, Diagnostic tests.Forecasting: Box-Jenkins, Prediction bounds. Testing for Trends and Unit Roots: Dickey-Fuller, ADF, Structural change, Trend-stationarity vs difference stationarity. Seasonality and Volatility: ARCH, GARCH, ML estimation. Multiequation Time Series Models: Spectral Analysis. Generation of pseudo random numbers, simulation methods: inverse transform and acceptance-rejection, design issues and sensitivity analysis.
Marks on this module can count towards exemption from the professional examination CT6 of the Institute and Faculty of Actuaries. Please see http://www.kent.ac.uk/casri/Accreditation/index.html for further details.
Credits: 15 credits (7.5 ECTS credits).
MA537 - Mathematics of Financial Derivatives (15 credits)
This module introduces the main features of basic financial derivative contracts and develops pricing techniques. Principle of no-arbitrage, or absence of risk-free arbitrage opportunities, is applied to determine prices of derivative contracts, within the framework of binomial tree and geometric Brownian motion models. The interplay between pricing and hedging strategies, along with risk management principles, are emphasized to explain the mechanisms behind derivative instruments. Models of interest rate and credit risk are also discussed in this context. Outline syllabus includes: An introduction to derivatives, binomial tree model, Black-Scholes option pricing formula, Greeks and derivative risk management, interest rate models, credit risk models.
Marks on this module can count towards exemption from the professional examination CT8 of the Institute and Faculty of Actuaries. Please see http://www.kent.ac.uk/casri/Accreditation/index.html for further details.
Credits: 15 credits (7.5 ECTS credits).
MA549 - Discrete Mathematics (15 credits)
Recently some quite novel applications have been found for "Discrete Mathematics", as opposed to the Continuous Mathematics based on the Differential and Integral Calculus. Thus methods for the encoding of information in order to safeguard against eavesdropping or distortion by noise, for example in online banking and digital television, have involved using some basic results from abstract algebra. This module will provide a self-contained introduction to this general area and will cover most of the following topics: (a) Modular arithmetic, polynomials and finite fields: Applications to orthogonal Latin squares, cryptography, coin-tossing over a telephone, linear feedback shift registers and m-sequences. (b) Error correcting codes: Binary block, linear and cyclic codes including repetition, parity-check, Hamming, simplex, Reed-Muller, BCH, Golay codes; channel capacity; Maximum likelihood, nearest neighbour, syndrome and algebraic decoding.
Credits: 15 credits (7.5 ECTS credits).
CB600 - Games and Networks (15 credits)
The module is divided into three main topics, namely Combinatorial Optimisation, Dynamic Programming and Game Theory. A more detailed listing of content is given below.
Combinatorial Optimisation:
The Shortest Path Problem
The Minimal Spanning Tree Problem
Flows in Networks
Scheduling Theory
Computational Complexity
Theory of Games:
Matrix Games Pure Strategies
Matrix Games Mixed Strategies
Bimatrix Games
N-person Games
Multi-criteria Decision Theory
Credits: 15 credits (7.5 ECTS credits).
MA771 - Applied Stochastic Modelling and Data Analysis (15 credits)
This applied statistics module focusses on problems that occur in the fields of ecology, biology, genetics and psychology. Motivated by real examples, you will learn how to define and fit stochastic models to the data. In more complex situations this will mean using optimisation routines in MATLAB to obtain maximum likelihood estimates for the parameters. You will also learn how construct, fit and evaluate such stochastic models. Outline Syllabus includes: Function optimisation. Basic likelihood tools. Fundamental features of modelling. Model selection. The EM algorithm. Simulation techniques. Generalised linear models.
Credits: 15 credits (7.5 ECTS credits).
MA781 - Practical Multivariate Analysis (15 credits)
This module considers statistical analysis when we observe multiple characteristics on an experimental unit. For example, a sample of students' marks on several exams or the genders, ages and blood pressures of a group of patients. We are particularly interested in understanding the relationships between the characteristics and differences between experimental units. Outline syllabus includes: measure of dependence, principal component analysis, factor analysis, canonical correlation analysis, hypothesis testing, discriminant analysis, clustering, scaling.
Credits: 15 credits (7.5 ECTS credits).
MA574 - Polynomials in Several Variables (15 credits)
Systems of polynomial equations arise naturally in many applications of mathematics. This module focuses on methods for solving such systems and understanding the solutions sets. The key abstract concept is an ideal in a commutative ring and the fundamental computational concept is Buchberger's algorithm for computing a Groebner basis for an ideal in a polynomial ring. The syllabus includes: multivariate polynomials, Hilbert's Basis Theorem, monomial orders, division algorithms, Groebner bases, Hilbert's Nullstellensatz, elimination theory, linear equations over systems of polynomials, and syzygies.
Credits: 15 credits (7.5 ECTS credits).
MA587 - Numerical Solution of Differential Equations (15 credits)
Most differential equations which arise from physical systems cannot be solved explicitly in closed form, and thus numerical solutions are an invaluable way to obtain information about the underlying physical system. The first half of the module is concerned with ordinary differential equations. Several different numerical methods are introduced and error growth is studied. Both initial value and boundary value problems are investigated. The second half of the module deals with the numerical solution of partial differential equations. The syllabus includes: initial value problems for ordinary differential equations; Taylor methods; Runge-Kutta methods; multistep methods; error bounds and stability; boundary value problems for ordinary differential equations; finite difference schemes; difference schemes for partial differential equations; iterative methods; stability analysis.
Credits: 15 credits (7.5 ECTS credits).
MA598 - Project on Financial Mathematics (15 credits)
Financial Mathematicians employ a wide range of skills when collaborating on work-related projects. This module is designed to give students the opportunity to experience what it is like to work on such a project, and to develop the team-working, communication, time management and problem-solving skills that are vital in the workplace. Students are arranged into small teams, with each team working together under the guidance of a supervisor to produce a single written report, worth 50% of the total module mark. In addition, each student will submit project-related coursework, and coursework related to the Key Skills workshops attended in the Autumn Term. Each of these coursework elements will contribute a further 25% to the total module mark. The syllabus is determined by the topics offered by supervisors. A range of topics will be available, with many replicating the 'real-world' work that Financial Mathematicians undertake in their professional lives.
Credits: 15 credits (7.5 ECTS credits).
MA600 - Dissertation (30 credits)
This module provides an opportunity to explore and research a topic in mathematics or statistics that is of interest to the student. Under the guidance of a supervisor, the student will engage in self-directed study to produce a dissertation. Students work largely independently to research a mathematical or statistical topic in depth and will be expected to incorporate high level material. For this reason, this module is best suited to students with a Stage 2 average exceeding 60%. Some topics may also have pre-requisite modules. Acceptance onto a topic is at the supervisor's and convenor's discretion. Outline syllabus: This is determined by the topic of the dissertation. Indicative mathematics titles include the following: Topological Solitons; Symmetries and finite groups; Acoustics; Totally non-negative matrices; Minkowski's question mark function; Mathematics of the gyroscope; Young tableaux; Lie algebras; Non-Euclidean geometry; Averaging methods in nonlinear ODE; Zeta functions; Linear operators and spectral theory; Group theory of Rubik's cube. Indicative statistics titles include the following: Generalised linear models in ecology; Stochastic frontier analysis using WinBUGs; Hyperbolic geometry and shape analysis; Topics in sample surveys; Computational and probabilistic genome analysis; Mastering Monopoly with Markov chains; Sighting frequencies of tortoises; Logistic regression analysis; Objective Bayesian analysis; Capital asset pricing model and risk analysis of investment.
Credits: 30 credits (15 ECTS credits).
MA772 - Analysis of Variance (15 credits)
Analysis of variance is a fundamentally important method for the statistical analysis of data. It is used widely in biological, medical, psychological, sociological and industrial research when we wish to compare more than two treatments at once. In analysing experimental data, the appropriate form of analysis of variance is determined by the design of the experiment, and we shall therefore discuss some aspects of experimental design in this module. Lectures are supplemented by computing classes which explore the analysis of variance facilities of the statistical package R. Syllabus: One-way ANOVA (fixed effects model); alternative models; least squares estimation; expectations of mean squares; distributional results; ANOVA table; follow-up analysis; multiple comparisons; least significant difference; confidence intervals; contrasts; orthogonal polynomials; checking assumptions; residual plots; Bartlett's test; transformations; one-way ANOVA (random effects model); types of experiment; experimental and observational units; treatment structure; randomisation; replication; blocking; the size of an experiment; two-way ANOVA; the randomised complete block design; two-way layout with interaction; the general linear model; matrix formulation; models of full rank; constraints; motivations for using least squares; properties of estimators; model partitions; extra sum of squares principle; orthogonality; multiple regression; polynomial regression; comparison of regression lines; analysis of covariance; balanced incomplete block designs; Latin square designs; Youden rectangles; factorial experiments; main effects and interactions.
Credits: 15 credits (7.5 ECTS credits).
MA584 - Computational Mathematics (15 credits)
The aim of the module is to provide an introduction to the methods, tools and ideas of numerical computation. In applications mathematics frequently generates specific instances of standard problems for which there are no easily obtainable analytic solutions. Examples might be the task of determining the value of a particular integral, or of finding the roots of a certain non- linear equation. Methods are presented for solving such problems on a modern computer. Besides a description of the basic numerical procedure, each method is analysed in terms of when it best works, how it compares with alternative approaches, and the way it may be implemented on a computer. Numerical computations are almost invariably contaminated by errors, and an important concern throughout the module is to understand the source, propagation and magnitude of these errors.The syllabus will cover: Introduction to numerics; solutions of equations in one variable; interpolation and polynomial approximation; numerical differentiation; numerical integration; direct methods for solving linear systems; iterative techniques for solving linear systems.
Credits: 15 credits (7.5 ECTS credits).
CB668 - Linear Programming and its Application (15 credits)
The broad areas will be as defined as shown below:
Modelling LP applications (management, finance, business, marketing)
The use of graphical method for small problems and the development Simplex Method (optimality and feasibility criteria) including the two-phase method.
The use of a computer software such as Excel to solve LP instances and discussion of results (through a couple of Labs).
Degeneracy issues in LP (brief)
Duality theory (dual problems, duality theorem, and complementary slackness conditions), and application of duality to other problems (brief)
Dual Simplex Method
Sensitivity analysis and brief pot-optimality analysis
Extension of LP to Integer Programming or Ratio Programming (DEA)
Credits: 15 credits (7.5 ECTS credits).
MA564 - Functions of Several Variables (15 credits)
Functions of several variables occur in many important applications. In this module we introduce the derivative for functions of several variables and derive an important consequence, namely the chain rule. We use this to calculate maxima and minima and Taylor series for functions of several variables. We also discuss the important problem of finding maxima and minima of functions subject to a constraint using the method of Lagrange multipliers. Furthermore, we define different ways to integrate functions of several variables such as arclength integrals, line integrals, surface integrals and volume integrals. Outline Syllabus includes: Continuity and Differentiation; tangent plane; swapping order of partial derivatives; implicit function theorem; inverse function theorem; paths independence of line integrals; use of polar, cylindrical and spherical polar coordinates; integral theorems such as Green's theorem.
Credits: 15 credits (7.5 ECTS credits).
MA565 - Groups and Rings (15 credits)
Groups are sets with a single binary operation. They arise as symmetry groups in contexts from puzzles like Rubik's cube to chemistry, where they help list molecules with a given number of atoms involved. In contrast, rings have two binary operations, generalising the arithmetic of integer numbers. This part of algebra has many applications in electronic communication, in particular in coding theory and cryptography. Outline Syllabus includes: permutations and cycle decomposition, subgroups, cosets, Lagrange's theorem, normal subgroups, symmetry groups, group actions, homomorphisms of groups and rings, ideals, factorization in rings, polynomial rings, domains, fields, quotient fields, finite fields.
Credits: 15 credits (7.5 ECTS credits).
Teaching & Assessment
Teaching amounts to approximately 16 hours of lectures and classes per week. Modules that involve programming or working with computer software packages usually include practical sessions.
The majority of Stage 1 modules are assessed by end-of-year examinations. Many Stage 2 and 3 modules include coursework which normally counts for 20% of the final assessment. Both Stage 2 and 3 marks count towards your final degree result.
Programme aims
The programme aims to:
- instil in students the technical appreciation, skills and knowledge required by graduates in financial mathematics
- develop students' abilities for rigorous reasoning and precise expression, and formulate and solve problems relevant to financial mathematics
- encourage an appreciation of recent developments in financial mathematics, and the links between theory and practical application
- encourage a logical, mathematical approach to solving problems
- develop an enhanced capacity for independent thought and work
- ensure students are competent in the use of information technology, and are familiar with computers and the relevant software
- provide opportunities to study advanced topics in financial mathematics, engage in research, and develop communication and personal skills
- instil awareness of the application of technical concepts in the workplace (for students undertaking a year in industry).
Learning outcomes
Knowledge and understanding
You gain knowledge and understanding of:
- core mathematical skills in the principles of calculus, algebra, mathematical methods, discrete mathematics, analysis and linear algebra
- statistical aspects of probability and inference
- information technology skills relevant to mathematicians
- methods and techniques appropriate to financial mathematics
- logical mathematical argument and deductive reasoning.
Intellectual skills
You develop intellectual skills in the following areas:
- the ability to demonstrate a reasonable understanding of knowledge in financial mathematics
- calculation and manipulation of the material within the programme
- application of concepts and principles in various contexts relevant to financial mathematics
- a capacity for logical argument
- problem solving by various methods
- computer skills
- the capacity to work with relatively little guidance.
Subject-specific skills
You gain subject-specific skills to:
- demonstrate knowledge of key mathematical concepts and topics, both explicitly and by applying them to the solution of problems
- comprehend problems, abstract the essentials of problems and formulate them mathematically and in symbolic form to facilitate their analysis and solution
- use computational and more general IT facilities as an aid to mathematical processes
- present mathematical arguments and the conclusions from them with clarity and accuracy.
Transferable skills
You gain transferable skills in the following:
- problem-solving, in relation to qualitative and quantitative information
- effective communication
- numeracy and computational abilities
- information retrieval in relation to primary and secondary information sources, including online computer searches
- computer skills, such as word-processing and spreadsheet use, internet communication
- time-management and organisational skills: the ability to plan and implement efficient and effective modes of working
- continuing professional development.
Through your studies, you acquire many transferable skills including the ability to deal with challenging ideas, think critically, write well and present your ideas clearly, all of which are considered essential by graduate employers.
Recent graduates have gone into careers in medical statistics, the pharmaceutical industry, the aerospace industry, software development, teaching, actuarial work, Civil Service statistics, chartered accountancy, the oil industry and postgraduate research.
Entry requirements
Home/EU students
The University will consider applications from students offering a wide range of qualifications, typical requirements are listed below, students offering alternative qualifications should contact the Admissions Office for further advice. It is not possible to offer places to all students who meet this typical offer/minimum requirement.
|Typical offer/minimum requirement
|A level
AAB including Mathematics grade A (not Use of Mathematics). Either General Studies or Critical Thinking (but not both) can be accepted against the requirements.
|Access to HE Diploma
The University of Kent will not necessarily make conditional offers to all access candidates but will continue to assess them on an individual basis. If an offer is made candidates will be required to obtain/pass the overall Access to Higher Education Diploma and may also be required to obtain a proportion of the total level 3 credits and/or credits in particular subjects at merit grade or above.
|BTEC Level 3 Extended Diploma (formerly BTEC National Diploma)
The University will consider applicants holding BTEC National Diploma and Extended National Diploma Qualifications (QCF; NQF;OCR) on a case by case basis please contact us via the enquiries tab for further advice on your individual circumstances.
|International Baccalaureate
34 points overall or 17 points at HL with Mathematics 6 at HL
International students
The University receives applications from over 140 different nationalities and consequently will consider applications from prospective students offering a wide range of international qualifications. Our International Development Office will be happy to advise prospective students on entry requirements. See our International Student website for further information about our country-specific requirements.
Please note that if you need to increase your level of qualification ready for undergraduate study, the School of Mathematics, Statistics and Actuarial Science offers a foundation year.
|Typical offer/minimum requirement
|English Language Requirements
Please see our English language entry requirements web page.
Please note that if you are required to meet an English language condition, we offer a number of pre-sessional courses in English for Academic Purposes through Kent International Pathways.
General entry requirements
Please also see our general entry requirements.
University funding
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text:
On Exhibit posts
Ask a Paleontologist: Where Are the Museum's Dinosaur Fossils Kept?
Museum Research Associate Lowell W. Dingus, Ph.D., takes viewers behind the scenes to a "library of dinosaur bones" and explains how these fossils are stored, in a video.
Whales Exhibition Features Intricately Carved Feast Dish
A story from the Kwakwa̱ka̱'wakw peoples of the Pacific Northwest Coast—roughly 20 diverse communities united by a common language—inspired this exquisite carved feast dish, which is featured in the special exhibition Whales: Giants of the Deep, now open at the American Museum of Natural History.
Ask a Paleontologist: How Long Did Dinosaurs Live?
Mark A. Norell, chair of the Division of Paleontology at the American Museum of Natural History, addresses the question: How long were dinosaurs' lifespans?
Ask a Paleontologist: What Color Were Extinct Dinosaurs?
Birds living today are dinosaurs and often have brilliantly colored plumage. Did extinct dinosaurs also sport vibrant hues? Learn more from Mark A. Norell, chair of the Division of Paleontology, in a video.

subset: commoncrawl


text: People Passing Out On Live TV Supercut Featured 07/25/2014 in Funny Some people can't handle the pressure of live TV, and it's lights out! Share Video REPLAY VIDEO People Passing Out On Live TV Supercut NEXT VIDEO Russian Tanker Truck Crash Creates Big Fireball RELATED MEDIA People Fainting On Live TV Compilation Reporter Passes Out On Live TV Don't Fall Asleep During A Cricket Match TV Show Host Faints On Live TV Meanwhile In The Netherlands... Cleverly Edited Ads Supercut I Love Live TV Kimmel Asks People: When is Cinco de Mayo? Snake Under The Hood Prank Man With Press Pass Trolls Fox News LG Scares The Crap Out Of People Reporter Shot on Live TV Live Marriage Proposal Woman Mysteriously Disappears On Live TV Weatherman Passes Out During Live Report 50 Heartbreaking Movie Scenes Supercut Sue Simmons Swears on Live TV News Anchors Awkwardly Fight On Live TV The Greatest Live TV Videobomb Ever Zombie Homicide Prank Autoplay On Next Video Share Tweet Stumble Email Pin It Embed: Use old embed code Use new embed code Categories: Funny Funny Videos Funny Fail Funny People & Lifestyle Fail People & Lifestyle Tags: passing out live supercut television funny lulz NEXT VIDEO Russian Tanker Truck Crash Creates Big Fireball 144 Comments Login to Comment


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SEO Project- Skincare
This project received 26 bids from talented freelancers with an average bid price of $332 USD.Get free quotes for a project like this
Project BudgetN/A
Total Bids26
Project Description
Project Description
We own several skincare and beauty brands and are looking for a highly skilled SEO resource to help drive TARGETED traffic to the attached brand. We have several variations of websites for this 1 brand (domain name located in the attached TXT file). We want entire SEO project to be completely white hat and absolutely no black hat models allowed
We want to achieve 200,000+ unique USA visits per month based on the 30 keywords we choose, and to be ranked number 1 on Google. We also need to improve the entire structure of the website to make sure it's best optimized for the top search engines.
We will start paying in full Monthly, based on Google Analytics unique visits results every month once the traffic exceeds 200,000 unique visits per month.
- How long will it take to achieve 200,000+ unique USA visits per month for this website?
?- How much will it cost (per month only) to achieve this? As well as to maintain this on a ongoing basis. We will create a new milestone every month.
- What is the guarantee? And what happens if our traffic drops significantly?
- What are the onsite and offsite SEO tasks that will be included with your bid?
-What is the exact detailed SEO campaign plan to optimize the website for the top search engines???
-Please provide details of your SEO practice/methods to ensure this will not negatively affect ranking with Google's most current algorithm.
Bidder must provide monthly pricing only for the SEO Campaign that will drive 200,000+ unique visits and targeted traffic to the attached website. ?You must have excellent feedback from previous clients for long term SEO projects on Freelancer in order to bid on this project because we need confirmation that your SEO methods actually work , are whitehat and deliver long term [url removed, login to view] must clearly lay out your plan in detail to get this site to 200,000+ unique visits per month as well as time frame.? You may use onsite, offsite, organic, and any other SEO methods or strategies.? If you're going to be creating articles during your SEO campaign for the project, you must write English extremely well. We will know if your articles are not written well or are not relevant to our company. You must provide weekly status reports that detail the progress being made, SEO statistics, and any SEO improvements to the site.?? Freelancer milestones only (every month).? Provider must submit samples of their best SEO results for other long term site projects.? Absolutely no branding.? We have a 5 out of 5 feedback rating on Freelancer and we'd like to keep it that way, so please, serious and experienced bidders only.
All questions must be thoroughly answered and please include in proposal the following word "beauty-one" to confirm you have read and understood job requirements. All others will be deleted.
This project is for 1 of our brands and should you be able to exceed our requirements in a timely manner we will open up another 2 brands for SEO as well.
Skills Required
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Roast Pork Ramen
|Pork fillet
|300 Gram (1 Piece)
|Chicken stock
|750 Milliliter
|1 Clove (5 gm), bruised
|Ginger root piece
|1 Large, sliced
|Red chili
|2 , 1 split, 1 sliced
|Pak choy
|2 , quartered
|Ramen noodles/Cook 125 gram thread egg noodles
|250 Gram (Ready To Use Pack From Waitrose)
|For marinade
|Sesame oil
|1 Tablespoon
|Hoisin sauce
|3 Tablespoon
|Chinese five spice
|1 Teaspoon
|Chili flakes
|1 Pinch
Heat the oven to 220C/fan 200C/gas 7.
To make the marinade mix 1 tsp sesame oil with the rest of the marinade, ingredients and roll the pork in it.
Leave for 10 minutes then roast for 25 minutes, basting halfway through.
Meanwhile put the stock, garlic, ginger and split chilli in a pan and simmer gently for 5 minutes then strain out all the bits.
Simmer the pak choy in the soup stock until tender.
Blanch the noodles, drain and divide between two bowls.
Add the pak choy and pour over the stock.
Slice the pork and divide between the bowls.
Finish with sliced chillies if you like.
Recipe Summary
Rate It
Nutrition Rank
Nutrition Facts
Serving size: Complete recipe
Calories 2285 Calories from Fat 752
% Daily Value*
Total Fat 85 g130.1%
Saturated Fat 24.8 g124.2%
Trans Fat 0 g
Cholesterol 24.1 mg8%
Sodium 5805.8 mg241.9%
Total Carbohydrates 262 g87.3%
Dietary Fiber 25.8 g103%
Sugars 48 g
Protein 129 g257.8%
Vitamin A 1507% Vitamin C 1317.8%
Calcium 186.8% Iron 148.4%
*Based on a 2000 Calorie diet


text:
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Lot 3: 3 Stone Hippie peace sign medallions
Featuring Basilico family estate, Limoges, Art, Furniture, Jewelry, Silver & Gold
by Clarks' Auction Company
23 October 2016
Scotts Valley, CA, USALive Auction
Looking for the realised and estimated price?
Description: 3 Stone Hippie peace sign medallions, largest length 2.75"
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R.L. Waterman - Freelance Writer & Aspiring Author
Welcome to My Website
Contained within these pages you will find a little information about me, R.L. Waterman, the freelance writer and aspiring author. Please feel free to explore my Blog for a few of my latest musings, or check out my Thoughts on Faith for a look into a few Bible passages that have impacted my life over the years.
You'll also find a few writing samples here. I'm currently working on my first book, so if you're interested in talking to me about what I'm working on please do get in touch.
If you want to receive an email when I update various sections of this website fill in the form to the right, it'll keep you up to date with all the latest.


text: Amar'e Stoudemire Hates The Mormons, He Hates Them NotBrian Hickey3/06/11 4:00pm12EditPromoteGo to permalink On Friday, New York Knick Amar'e Stoudemire had some choice twords to type about BYU's treatment of Brandon Davies. Specifically, "Don't ever go to BYU, they kick a Young Educated (Black)Brother OUT OF SCHOOL. The kid had premarital sex. Not suspended, Not Release. Wow!"


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Personal Directory Information
|Stefan Dollinger (IPA: dɔlɪŋgər)
|University of Gothenburg
|click here to access email
|State and/or Country:
|Linguistic Field(s):
Historical Linguistics
Text/Corpus Linguistics
|Canadian English, Dialectology, Late Modern English, New-Dialect Formation Theory
|Subject Language(s):
|Selected Publications:
|2008. New-Dialect Formation in Canada: Evidence from the English Modal Auxiliaries. Amsterdam: Benjamins (= Studies in Language Companion Series 97), xxii+355 pp.
2008. 'Colonial variation in the LModE business letter: 'periphery and core' or 'random variation'?' In: Studies in Late Modern English Correspondence:
Methodology and Data Ed. by Marina Dossena and Ingrid Tieken-Boon van Ostade. Bern: Lang, 257-287.
2008. 'Taking permissible shorcuts? Limited evidence, heuristic reasoning and the modal auxiliaries in early Canadian English' In: Empirical and analytical advances in the study of English language change Ed. by Donka Minkova and Susan M. Fitzmaurice. Berlin: Mouton de Gruyter
2008. (with Laurel J. Brinton). 'Canadian English lexis: historical and variationist perspectives'. Anglistik: International Journal of English Studies 19(2) Special Issue "Focus on Canadian English", Ed. by Matthias Meyer, 43-64.
2007. 'The importance of demography for the study of historical Canadian English: three examples from the Corpus of Early Ontario English' In: 'Of varying language and opposing creed': New Insights into Late Modern English. Ed. by Javier Pérez-Guerra et al. Bern: Lang.
2007. 'The modal auxiliaries HAVE TO and MUST in the Corpus of Early Ontario English: gradience and colonial lag theory in Early Canadian English'. Canadian Journal of Linguistics. 51/2&3: 189-210.
2007. 'English-German bilingualism in British Columbia past to present: data, evidence, challenges' - in: Smit, Ute et al. (eds.) Tracing English through time: ex-plorations in language variation. Vienna: Braumüller (= Austrian Studies in English, 85), 51-77.
2007. Editor (with Ute Smit, Julia Hüttner, Gunther Kaltenböck, Ursula Lutzky). Tracing English through time: ex-plorations in language variation. Vienna: Braumüller (= Austrian Studies in English, 85).
2006. 'Towards a fully revised and extended edition of the Dictionary of Canadianisms on Historical Principles (DCHP-2): background, challenges, prospects'. HSL/SHL - Historical Sociolinguistics/Sociohistorical Linguistics (Leiden, NL). 6. http://www.let.leidenuniv.nl/hsl_shl/DCHP-2/DCHP-2/DCHP-2.htm, 1 Sept. 2006.
2006. 'Oh Canada! Towards the Corpus of Early Ontario English' - in: Renouf, Antoinette and Andrew Kehoe (eds.). The changing face of corpus linguistics. Proceedings of the 24th ICAME Conference, Guernsey, UK, April 2003. Amsterdam: Rodopi.
2005. Review of 'Raymond Hickey (ed.). 2004. Legacies of colonial English. Studies in transported dialects. Cambridge: CUP (= Studies in English Language)' - in: LinguistList, available at: http://cf.linguistlist.org/cfdocs/new-website/LL-WorkingDirs/pubs/reviews/get-review.cfm?SubID=57157, 16 July 2005.
2005. 'Historical English linguistics at 7,000 feet above sea level: a report on SHEL-4'. HSL/SHL - Historical Sociolinguistics/Sociohistorical Linguistics (Leiden, NL).
2004. 'Historical corpus compilation and 'philological computing' vs. 'philological outsourcing': a LModE test case' - in: VIEWS. 13/2: 3-23. avail. also online at: http://www.univie.ac.at/Anglistik/ang_new/online_papers/views.html
2003 'What the capitalization of nouns in Early Canadian English may tell us about ''colonial lag' theory: methods and problems.' - VIEWS. 12/1: 24-44 - online version available at: http://www.univie.ac.at/Anglistik/ang_new/online_papers/views/03_1/DOL_SGLE.PDF
|Announced on LINGUIST :
New-Dialect Formation in Canada
The Written Questionnaire in Social Dialectology
|Reviewed on LINGUIST :
New-Dialect Formation in Canada
The Written Questionnaire in Social Dialectology
|Courses Taught:
|Introduction to Sociolinguistics, Varieties of English, Dialectology, History of the English Language,
Canadian English lexicology and lexicography
|Dissertation Abstract:
|New-Dialect Formation in Early Canada: The modal auxiliaries in Ontario English, 1776-1850
|Reviewer of:
Historical Ling/Lang Description: Hickey (2004)
(LL Issue 16.2191)
English Pronunciation in the Eighteenth and Nineteenth Centuries (LL Issue 18.242)
St Helenian English (LL Issue 20.2557)
Textbooks/Historical Ling: Singh (2005) (LL Issue 17.293)
|Academic Paper Abstract:
Academic and public attitudes to the notion of 'standard' Canadian English
|Add to Linguist Directory
|Update your entry


text:
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Vegas Vince welcomes twisted Marketer Caliban Darklock.
Twenty years in the software industry, ranging from defense contracts in the international intelligence community to a multi-million dollar independent software company and five years contracting at Microsoft, Caliban Darklock turned to internet marketing in 2009 and promptly lost everything.
After a dozen small product launches earning everywhere from $10,000 in a week to nothing at all, a year hosting a live internet broadcast, and far too much rum, he is currently focused on developing a general system of cross-discipline self-improvement from his parents' basement.
Another raw, uncut Sales and Marketing Behing the 8-Ball Classic.
A Vegas Vince joint....produced, composed, written, and arranged by Vegas Vince.
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Six Feet Under
Today, Six Feet Under returns with their 12th studio album, 'Torment', and a new leap in intensity. For a preview of 'Torment', a band play-through for the new track, 'Schizomaniac,' can be viewed at metalblade.com/sixfeetunderRead More
To celebrate the album release the band has now launched the first video for the new album and it's for the song 'Murmur ov the Dead'! Head over to youtube.com to check it out!Read More
Nova Collective
For a preview of 'The Further Side', a full band play-through video for the new single, 'Ripped Apart and Reassembled', can be viewed at: metalblade.com/novacollective - where the album can also be pre-ordered.Read More
Armored Saint
This Friday, Armored Saint will release their new live album, 'Carpe Noctum'. For a preview, a live video of 'Last Train Home' from Wacken Open Air can be viewed at metalblade.com/armoredsaintRead More
Native Construct
Boston, MA based progressive act Native Construct has just launched the instrumental version of their critically-acclaimed debut release, 'Quiet World'.Read More
New Releases
New Releases
Latest News
VISIGOTH launches live video for "Iron Brotherhood" from last month's "Frost and Fire Festival"!
- 03/11/15 – Last month, Salt Lake City's VISIGOTH delivered a...Read More
TWITCHING TONGUES releases new video for "Insincerely Yours"
- 30/10/15 – New album, 'Disharmony', out now! Southern...Read More
KING DIAMOND: new video interview on Vice
- 29/10/15 – Upcoming shows in Detroit and Philadelphia to be filmed...Read More
RAM: 'Svbversvm' full-length from Swedish heavy metal loyalists streaming in full at Noisey
- 28/10/15 – Record to see worldwide release this Friday via Metal...Read More
EXUMER announces more European tour dates and support acts for "Road Rage 2016″!
- 28/10/15 – German thrash masters EXUMER will enter the studio in...Read More
TWITCHING TONGUES streams new album, "Disharmony", via Lambgoat.com!
- 26/10/15 – This Friday (October 30th), southern California's...Read More
WHITECHAPEL premieres "The Saw Is the Law" live video via MetalInjection.net!
- 26/10/15 – This Friday (October 30th), WHITECHAPEL will unleash their...Read More
Multinational Heavy Metallers MIRROR launch 2nd single "Galleon" exclusively via Rock Hard Germany!
- 22/10/15 – Heavy Metal conjurors, MIRROR, will unveil the cult...Read More


text:
Garden Vegetable Pockets
|Lightly packed shredded lettuce
|2 Cup (32 tbs)
|Shredded carrot
|1 Cup (16 tbs)
|Shredded jack cheese
|4 Ounce
|Chopped green onions
|1⁄3 Cup (5.33 tbs) (Including Tops)
|1 , halved crosswise, seeded, and diced
|1 , pitted, peeled, and diced
|1⁄4 Cup (4 tbs)
|Tomato based chilli sauce
|3 Tablespoon
|Sweet pickle relish
|1 Tablespoon
|Pocket breads
|3 , halved
In a bowl, combine lettuce, carrot, cheese, onions, tomato, and avocado.
In a cup, stir together mayonnaise, chili sauce, and relish; pour over vegetables and toss gently to blend.
Fill pocket bread halves evenly with vegetable mixture, packing gently.
Recipe Summary
Rate It
Nutrition Rank
Nutrition Facts
Serving size: Complete recipe
Calories 1639 Calories from Fat 963
% Daily Value*
Total Fat 111 g170.9%
Saturated Fat 28.6 g142.9%
Trans Fat 0 g
Cholesterol 139.3 mg46.4%
Sodium 2394.5 mg99.8%
Total Carbohydrates 127 g42.4%
Dietary Fiber 28.4 g113.7%
Sugars 22.8 g
Protein 44 g88.3%
Vitamin A 720.2% Vitamin C 157.9%
Calcium 96.1% Iron 37.8%
*Based on a 2000 Calorie diet


text:
Study Abroad In New Zealand – Admission Process And Eligibility Criteria
We all understand and accept the profound importance of English as a language. Thus there is an increasing among many students.Leave a comment |
We all understand and accept the profound importance of English as a language. Thus there is an increasing among many students.Leave a comment | Tagged admission process for studying in new zealand, eligibility criteria for studying in new zealand, requirements for studying in new zealand, study in New Zealand, studying in new zealand
New Zealand offers a very conducive environment for studies. New Zealand has got some of the best universities in the world. The1 Comment | Tagged Auckland University of Technology, New Zealand Universities, study in New Zealand, study options at Newzealand, University of Auckland
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Physiotherapy has become one of the most sought after career options for contemporary students. In the filed of physiotherapy, high professional possibilities are...Leave a comment | Tagged career as a physiotherapist, physiotherapy as career option, Physiotherapy Courses In New Zealand, Physiotherapy Programs In New Zealand, Top Physiotherapy Schools/University
A short duration New Zealand Diploma in Business is offered at several New Zealand academic institutions such as the Universal College of Learning-UCOLLeave a comment | Tagged business, Diploma, Diploma In Business Administration, Diploma In Business Courses New Zealand, Diploma In Business Management, Top Business Diploma Universities/Institutions In New Zealand
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Popularity of New Zealand as an ultimate destination for flight training has crossed international boundaries. The country is home to some of the...Leave a comment | Tagged Accommodation During Training, aviation programs in New Zealand, Flight Training In New Zealand, Flight Training Loan New Zealand, Top Flight Training Schools/College
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Post graduate level Management qualifications are available in numerous New Zealand academic institutions. Victoria University of Wellington, the University of WaikatoLeave a comment | Tagged master courses new zealand, MBA, MBS, Post Graduate Management, study in New Zealand


text:
Ho Sports Burner Combo Skis With Blaze And RTS '14
HO 61 Burner Combo Waterskis are geared for those looking to get more performance out of their combo skis. The shape is based on the HO Comp Freeride series slalom ski and delivers a smooth ride, whether running as a slalom or combo set. Unlike all of the other combo water skis on the market the Burner combo skis are made out of fiberglass to increase stiffness. These skis have the Blaze binding, which wraps around the ankle for great support features front lacing for performance and adjustability.
- Brand
- HO Sports
- Features
- SIZES(Weight Limits): 61" (UP TO 150 LBS.) 67"( UP TO 200 LBS.) V- Bottom Design Blaze boot
- Age
- Adult
- Gender
- Female Male
Customer Reviews
Questions & Answers
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text:
Former MLA
See full list of topics voted on
We have lots more plain English analysis of Lord Alderdice's voting record on issues like health, welfare, taxation and more. Visit Lord Alderdice's full vote analysis page for more.
To ask Her Majesty's Government what plans they have to ensure parity of esteem between mental and physical health.
My Lords, first, I thank all noble Lords who have indicated their wish to speak in this debate. They are all Members of your Lordships' House who have a considerable interest in this area. Perhaps I may mention in particular the noble Baroness, Lady Hollins, who, as a colleague in the Royal College of Psychiatrists, was probably more responsible than anyone for including the notion of...
More of Lord Alderdice's recent appearancesRSS feed (?)
Liberal Democrat Peer, Former Speaker, and MLA for Belfast East
Entered the House of Lords in 1996
Entered the Assembly on 25 June 1998 — General election
Left the Assembly on 28 April 2003 — General election
Party was Alliance until 30 Jun 1998; Initial Presiding Officer until 30 Nov 1999; Speaker until 28 Apr 2003
Also represented Belfast East
Please note that numbers do not measure quality. Also, representatives may do other things not currently covered by this site.
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This data was produced by TheyWorkForYou from a variety of sources. Voting information from Public Whip.


text:
|03-20-2012 02:46 AM CET - Science & Education
'LOG Storm' High-speed Digital Data Logger To Be Introduced at ESC San Jose
Press release from: Saelig Co. Inc.
Design engineers often use a logic analyzer for digital system debug. But they frequently report that this type of equipment is unhelpful when problems result from a long sequence of combined software and hardware events. Logic analyzers cannot record sufficient depths of relevant data history to be useful. In contrast, LOG Storm is a dedicated hardware/software combination that can collect high-speed digital bus activity for periods of hours or even days, and extract specific functional events of interest.
LOG Storm offers a compact, easy-to-deploy data logging capability with huge storage capability, high sampling rate and rich data storage qualification capabilities. Examples of use include: SPI message monitoring of specific slave select lines; continuous, filtered data packet header evaluation; long-term bus monitoring; in-lab development; on-site, after-installation servicing for chip-to-chip communication emulation, IP evaluation, etc.
About Saelig Company, Inc.
Founded in 1988 in Rochester, New York, Saelig is a North American distributor with a growing reputation for finding and sourcing unique, easy-to-use control and instrumentation products and related active components, for use in a variety of industries. Products lines are continuously added from sources across the globe, and are offered at highly competitive prices, accompanied by full in-house technical support, exceptional customer service, and fast delivery. For full details of available product lines, please visit www.saelig.com.
Saelig Co. Inc.
1160-D2 Pittsford-Victor Rd
Pittsford NY 14534 USA
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Professional 23 Piece Spray Gun Cleaning Kit.Ideal for cleaning all types of Spray Guns such as Suction, Gravity Feed, HVLP, Detail, Pressure, as well as Airbrushes. Cleaning Kit Includes:3 Mini End Brushes: for cleaning the inside fluid tip and air cap or any area that requires a smaller stiffer brush.1 Aluminum Holder: for Mini End Brushes.5 Piece Mini-Brush Set: give you size and brush firmness options for cleaning the center hole and horn holes of the air cap, fluid tip, baffle and other small passages.1 Firm Bmetal Tube Cleaning Brush: for Gun Body-air and fluid passages.3 Sizes of Flexible Tube Cleaning Brushes: for cleaning the fluid and air inlets, Gun Body-air and fluid passages, gravity cup outlet, and suction cup tube.6 Micro Needle Picks: to remove the needle packing, air cap retaining ring clip, internal gun seals, and cup gasket.1 Aluminum Holder: for Micro Needle Picks.1 Large General Purpose Brush: for areas such as the gun body, cup, air cap and ring, trigger, and gun controls.1 Bottle of Spray Gun Lubricant: for use after the gun has been cleaned.1 Compartmentalized Storage Case.
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Christmas is bigger and brighter in Vevay
Christmas in Vevay, IN is bigger and brighter that you'd expect. From holiday parades to light displays and even visits from Santa, the small river town is the place to be at the holidays. Read more
Posts about Winter Activities in Indiana
Christmas in Vevay, IN is bigger and brighter that you'd expect. From holiday parades to light displays and even visits from Santa, the small river town is the place to be at the holidays. Read more
Visit Kokomo for great tours and family-friendly events that will make your holiday season merry and bright! From visits with Santa and live reindeer to spectacular light displays and performances, spend the holidays in Kokomo! If you have kids, make Read more
Most Hoosiers locked "A Christmas Story" in their heart a long time ago, and only bring it out to lead off their Christmas movie rotation every year. Set in Ft. Wayne, the iconic movie captures Indiana and is wrapped in Read more
Your holiday season will not be complete with out a trip to Fort Wayne, Indiana during the annual HolidayFest, a series of holiday events from November through January. Read more
The holidays are the time of year when we often feel torn in too many directions. While much of it is fun: cookie baking and tasting, tree lightings, visits with Santa, shopping, etc., it can also be quite overwhelming. It's Read more
Like many football fans around the country, Super Bowl weekend is always marked on my calendar even though I'll likely never attend an actual game. Fortunately for me and all my fellow Hoosiers, this year the game comes to us. Read more
Recently, my destination marketing class took a trip to the Indianapolis Zoo for its annual Christmas at the Zoo event. While going to an outdoor attraction during the coldest time of the year seemed a little ridiculous to me, my Read more
Whether it's for budget-friendly reasons or to make use of your creative knack, homemade Christmas gifts are a great way to share thoughtful and personal gifts this holiday season. Downtown businesses boast several classes and tools that can help you Read more
When the frigid winter temperatures and gray skies get you down, there's no better place to head in Central Indiana than the Garfield Park Conservatory in Indianapolis. Before the word "park" scares you off or has you packing up mittens and Read more
Southern Indiana is filled with Christmas events for the whole family and these are some of the ones you should not miss. Charlestown in Clark County is holding their annual Christmas Lights Display. But it's not just any lights display. Read more


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Definitions for social welfare
This page provides all possible meanings and translations of the word social welfare
Princeton's WordNet
social welfare, welfare, public assistance(noun)
governmental provision of economic assistance to persons in need
"she lives on welfare"
U.S. National Library of Medicine
Social Welfare
Organized institutions which provide services to ameliorate conditions of need or social pathology in the community.
Chaldean Numerology
The numerical value of social welfare in Chaldean Numerology is: 3
Pythagorean Numerology
The numerical value of social welfare in Pythagorean Numerology is: 3
Sample Sentences & Example Usage
I don't like only taking money from the social welfare office and just sleeping all day, i'm so happy that I'm earning money myself now.
They're really living way below the breadline and I don't have the confidence that social welfare or anybody is going to come and save them.
It wasn't an application by the Social Welfare Department as it usually would be, police threw in a bunch of facts they obtained about the family in a very superficial manner.
Without an identity card, you don't have any rights, you need a identity card for everything. Without it, I couldn't get the medicine and medical care I needed and any social welfare benefits.
Germans have earned this money by the sweat of their brow, be it at a desk or at the steelworks here in Riesa ... so that a distant and anti-grassroots government can hand out horns of plenty as if it's the world's social welfare office.
Images & Illustrations of social welfare
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Use the citation below to add this definition to your bibliography:
"social welfare." Definitions.net. STANDS4 LLC, 2017. Web. 23 Feb. 2017. <http://www.definitions.net/definition/social welfare>.


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The Next Pair
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Why should Australians pay a premium on latest styles compared to the rest of the world? Why should we sometimes pay almost double the price? Well, there is no reason why... The Next Pair was founded with one goal in mind: to bring exciting brands and designer styles to Australians at affordable prices. Our buyers love and breathe shoes. We scour the world to source your Next Pair that is fashion forward and fairly priced.
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2/3/2017Retiring parks and rec director reflects on role
1/27/2017Lawmakers Return to the Capitol
1/25/2017Rockford Park District director Tim Dimke receives lifetime achievement award
4/1/2017 » 5/31/2017Flying for Kids Months
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5/2/2017Parks Day at the Capitol
5/3/2017Legislative Conference
5/16/2017Summer Golf Tour #1 - Wheaton Park District's Arrowhead Golf Club


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Spectro Q6000 Fuel Dilution Meter
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Data Entry
This project was successfully completed by Soma340 for £2 GBP / hour in 20 days.Get free quotes for a project like this
Project Budget£2 - £5 GBP / hour
Completed In20 days
Total Bids240
Project Description
We would like to hire somebody to extract data from a website directory and put it into an excel spreadsheet.
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CD8 T cells are critical in controlling infection by intracellular pathogens including viruses and intracellular bacteria. CD8 T cell-mediated immune responses consist of several distinct stages, including activation of antigen-specific na?ve CD8 T cells, clonal expansion of effector CD8 T cells, and formation of memory CD8 T cells. Among effector CD8 T cells, the KLRG1+IL-7R?- cells are considered to be terminally differentiated cytolytic effectors, and KLRG1loIL-7R?+ cells have increased potential to give rise to long-lasting memory CD8 T cells and deemed to be memory precursors. Among memory CD8 T cells, CD62L+ central memory T cells are more efficient in homestatic self-renewal and secondary proliferation than CD62L- effector memory T cells. The T cell factor 1 (TCF1) transcription factor is known to mediate the canonical Wnt signaling and play important roles in T cell development. In recent years, studies by us and others discovered its emerging roles in regulating mature CD8 T cell responses. Specifically, activation of the Wnt signaling pathway in CD8 T cells was sufficient to expand the memory CD8 T cell pool. Furthermore, among all the transcription factors that have been studied in CD8 T cell responses to date, TCF1 deficiency most profoundly impaired central memory T cell maturation, memory T cell persistence and secondary expansion. Our preliminary studies further revealed that albeit TCF1 was significantly downregulated in KLRG1+IL-7R?- effector T cells, substantial expression of TCF1 was retained in KLRG1loIL-7R?+ memory precursors and CD62L+ central memory cells. In addition, loss of TCF1 greatly diminished the frequency of memory precursors at the effector phase. Based on these findings, we hypothesize that TCF1 controls unique transcriptional programs during CD8 T cell responses and retention of TCF1 and its downstream genes in CD8 effectors favors differentiation of memory precursors and formation of self-renewing central memory T cells. We propose to test this hypothesis through the following specific aims:
Specific Aim 1. To elucidate the TCF1-regulated gene regulatory circuits throughout the CD8 T cell responses.
Specific Aim 2. To identify TCF1 downstream genes that promote generation of memory precursors and central memory T cells. Through these proposed studies, what we will achieve is to elucidate the molecular wiring of TCF1-controlled gene regulatory program and determine its functional importance in promoting generation of robust and long- lasting memory CD8 T cells. These systematic approaches may lead to discovery of key determinants directing CD8 effectors to a memory fate. This project will have a major impact on devising strategies to utilize Wnt- derived signals or their molecular targets to improve vaccine/adjuvant design, aiming for enhanced T cell immunity against infectious agents and malignant cells.
CD8 T cells are critical in controlling infection by intracellular pathogens including viruses and intracellular bacteria. This project will combine transcriptomic, genomic, and functional analyses to systematically dissect how retention of TCF1 expression in effector CD8 T cells predispose them to a memory T cell fate. The new knowledge will offer novel strategies of utilizing the Wnt-TCF1 pathway to improve T cell-based vaccines and immunotherapies.
|Steinke, Farrah C; Yu, Shuyang; Zhou, Xinyuan et al. (2014) TCF-1 and LEF-1 act upstream of Th-POK to promote the CD4(+) T cell fate and interact with Runx3 to silence Cd4 in CD8(+) T cells. Nat Immunol 15:646-56
|Xie, Weiliang; Lynch, Thomas J; Liu, Xiaoming et al. (2014) Sox2 modulates Lef-1 expression during airway submucosal gland development. Am J Physiol Lung Cell Mol Physiol 306:L645-60
|Starbeck-Miller, Gabriel R; Xue, Hai-Hui; Harty, John T (2014) IL-12 and type I interferon prolong the division of activated CD8 T cells by maintaining high-affinity IL-2 signaling in vivo. J Exp Med 211:105-20
|Steinke, Farrah C; Xue, Hai-Hui (2014) From inception to output, Tcf1 and Lef1 safeguard development of T cells and innate immune cells. Immunol Res 59:45-55


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All SMU Adventurers
All Adventures, By Month
This Just In…
Where Are They?
SMU students are having amazing adventures. Click on a continent to get started.
February 2017 S M T W T F S « Jan 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
El Escorial
"So much to do, so much to see…"
Another day, and another week has gone by in Spain. All I can think about is how nervous and worried I felt during my last days back at home because I thought I was going to get so homesick. Although … Continue reading
Posted in Stephanie in Madrid Tagged El Escorial, SMU-in-Spain, Stephanie Lau Comments Off on "So much to do, so much to see…"
El Escorial y Valle de los Caídos
Hey y'all! Today we took a little field trip about an hour outside Madrid to San Lorenzo de El Escorial, a small town in the mountains. El Escorial is the home of a beautiful Monastery built by el Rey Felipe … Continue reading
Posted in Megan in Spain Tagged El Escorial, Megan, SMU-in-Spain Comments Off on El Escorial y Valle de los Caídos


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Fler böcker av Ben Okri
Recensioner i media
"Another piercing collection of short stories... Masterful" Time Out "There are many novelists who write as well as Ben Okri, many who share his gift for recreating the texture of everyday life, many who can cut through the surface to expose, as he does, the myths of our elders and betters use to keep us in our place. There are very few novelists who can do all three. The fact that Ben Okri has done so in short stories, without ever losing his balance, his humour or his edge, makes his accomplishment all the more exceptional" Observer "In a few brief sentences Ben Okri captures the arrogance and faceless indifference of the military forces which patrol the margins of these stories" Independent "Stamped with the ease of a truly original imagination" -- Wole Soyinka
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Övrig information
Ben Okri's books have won several awards including the Commonwealth Writers' Prize for Africa, the Paris Review Aga Khan Prize for Fiction and the prestigious International Literary Prize Chianti Rufino-Antico Fattore 1993. The Famished Road won the Booker Prize in 1991. He was born in Minna, Nigeria.


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post #43486 of 57358
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have had bad dreams with melatonin as well when I went over 5mgs. 3mg seems to be doing the trick as of now.


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Is Arellano University incorrect or missing key business information? Update your Hotfrog listing today.
Contact details
Are these details correct?
Hotfrog Philippines provides information regarding Arellano University in Manila Metro Manila. Arellano University is located at 2600 Legarda Street, Manila Metro Manila 1008 and provides Education services. Contact them on (02) 734 7371 or by visiting them on their website http://www.arellano.edu.ph.
Opening hours
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I cut down most of my peonies yesterday - far too early for the
usual fall clean-up, but they were so badly blighted that they
were really unsightly. Ileft thefew thatwere still pretty green,
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I guess it's the weather that has blighted the peonies. I hope
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