Minor in Mathematics
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US Credits
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UK Credits
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- MTH 3120 Functions and Applications
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3 |
12 |
- MTH 4100 Calculus with Applications
This course provides a sound understanding of the concepts of calculus and their applications to business and economics. Emphasis in providing the theory side by side with practical applications and with numerous examples. Topics include co-ordinate geometry of straight lines, quadratic curves, exponential and logarithmic functions; elementary differentiation and integration; and applications to maxima, minima, and optimization. It also deals with differentiation and integration of trigonometric and inverse trigonometric functions.
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3 |
12 |
- MTH 4120 Probability and Statistics I
An introductory course in probability primarily designed for business economics and psychology majors. The course coverage will include: descriptive statistics, elementary probability theory, random variables and expectations, discrete probability distributions (Binomial and Poisson distributions), continuous probability distribution (Normal distribution), linear regression analysis and correlations, elementary hypothesis testing and Chi-square tests, non-parametric methods and SPSS lab sessions targeting applications of statistical concepts to business, economics and psychology and interpretations of hardcopies. All practical work will be produced using SPSS statistical software.
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9 |
36 |
| plus FOUR of the following: |
Minimum of 6 |
Minimum of 24 |
- MTH 5120 Probability and Statistics II
Continuing MTH 4120, the course is concerned with inferential statistics. It covers sampling distributions, point estimations, interval estimations and estimating confidence intervals for populations and proportions, hypothesis and significance testing, goodness-of-fit test and Chi-square test, one-way analysis of variance (ANOVA), applications of non-parametric statistics, linear regression analysis. All practical work will be done on SPSS statistical software.
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3 |
12 |
- MTH 5130 Game Theory and Decision Methods
This course provides an introduction to game theory and its relation to decision methods in business. The course will cover the core principles of game theory and its role in the process of decision making in business. The use of game algebra and the analyses of the structure of various types of practical statistical decision problems as applied to business will be emphasized. The areas to be studied will include decision making under uncertainty, risk analysis, Baye's strategies, decision trees, linear programming, Markov Processes, game strategies, classification of games, game trees, the Nash equilibrium, zero-sum games, mixed strategy games, the prisoner's dilemma and repeated games, collective action games and evolutionary games in the context of hawk-dove games. Applications to specific strategic situation such as in bargaining, bidding and market competition will be explored.
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3 |
12 |
- MTH 5210 Real Analysis
This course introduces students to Real Analysis. The course cover properties of real numbers (鈩), sets, sequences and series, limits, properties of continuous functions, differentiability and integrability, The Riemann integral, Lebesgue integral, sequences of functions, infinite series, measure theory and Lebesgue measures, properties of vector, metric and topological spaces.
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4 |
16 |
- MTH 5220 Linear Algebra
The course provides a detailed study of set theory, systems of linear equations, theory of vectors and vector spaces, algebra of matrices, determinants and characteristic polynomials, mappings and linear transformations, canonical forms and invariance, eigenvectors and eigenvalues. These concepts are useful as they form a basis of a deeper understanding of advanced mathematics and have wide applications in physical and social sciences. Specific applications in economics will be explored.
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3 |
12 |
- MTH 6101 Financial Mathematics
This course will cover: Essential mathematics (calculus, differential equations, linear algebra and elementary probability theory), mathematics in finance (Central Limit Theorem and Brownian motion, Stochastic calculus and random behaviour, Markov Processes and Martingales, Wiener process, Monte Carlo simulation of pricing and simple trading models), Binomial and Black-Scholes Models and their significance in asset pricing and analysis of financial derivatives.
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4 |
16 |
- MTH 6102 Advanced Differential Calculus
This course provides an introduction to differential and integral calculus of several variables, functions of complex variables, ordinary and partial differential equations, infinite series and convergence, Fourier and orthogonal functions. Analysis of linear differential equations, non-homogeneous, boundary value problems, various methods of solving differential equations e.g. separation of variables, variation of parameters, Laplace transform, Inverse transforms, Power Series solutions and Fourier series.Methods studied will be shown how they can be applied to problem in business, finance and economics.
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4 |
16 |
| Minor Requirements |
18 |
72 |
