Mathematics plays a dual role of academic discipline on its own, and serves as the basic language for all the sciences. The Mathematics Department at East West University is designed to provide students with the mathematical skills that can be used in everyday life, in their prospective careers, and in other academic areas. Certain skills learned in the program will prepare students to apply mathematics to real-life situations, while other skills will provide a solid base for proof-writing and research. Upon completion of the program, a student will be well rounded enough to be able to choose either a career in industry or further studies in academia. The aim of the mathematics department is to prepare students to move into jobs for the future.
The discipline of mathematics offers a variety of programs in pure and applied mathematics to meet the needs of students in different academic and career areas. Program options include:
· Specialized Classes in Math that will prepare students who major in other disciplines to increase their effectiveness in their own particular fields.
· An Associate of Arts degree program in which a general liberal arts education can be combined with a solid background in Mathematics.
· A Bachelor of Arts degree program with a major in Mathematics, which prepares the student for a math-related career.
|COURSE NUMBER||COURSE NAME|
|MT121||COLLEGE PREPARATORY MATH|
|MT156||GENERAL EDUCATION MATH|
|MT160||ELEMENTARY PLANE TRIGONOMETRY|
|MT221||FUNDAMENTAL OF STATISTICS|
|MT301||ADVANCED CALCULUS I|
|MT302||ADVANCED CALCULUS II|
|MT310||ELEMENTARY DIFFERENTIAL EQUATIONS|
|MT411||INTRODUCTION TO REAL ANALYSIS|
The objective of this course is to increase competence in working with basic numbers so as to solidify students’ foundational math skills. Topics include whole numbers, fractions, decimals, percents and signed numbers. Topics are integrated into the order of operations with an introduction to the blue-print for problem-solving. Students are assigned to this course based on placement tests. Credits do not count towards graduation.
Prerequisite: MT121 or placement
This is the first in a sequence of algebra courses. Topics include transition to algebra, evaluating algebraic expressions, equations and inequalities, applications and word problems, the graph of a linear equation, slope of a line, properties of exponents, scientific notation, polynomials and operations with polynomials. Credits do not count towards graduation.
Prerequisite: MT123 or placement.
Continuation of introductory algebra. Topics include factoring, solutions of quadratic equations by factoring, systems of linear equations and inequalities, rational expressions, simplification of radicals and exponents, the quadratic formula, graphing and applications to be used throughout the course.
GENERAL EDUCATION MATH
Inductive reasoning, estimation, graph interpretation, sets, operations on sets, Venn diagrams, logical statements, arithmetic in different number bases, especially binary, octal and hexadecimal, consumer mathematics, geometry, sequential counting principle, combinations and permutations and basic concepts of probability, and statistics.
Prerequisite: MT155 (with “C” grade or higher)
Topics include graphing polynomial and rational functions, synthetic division, solution of quadratic equations and higher degree polynomial equations, exponential and logarithmic functions, matrix algebra, determinants and solutions of linear systems of equations.
ELEMENTARY PLANE TRIGONOMETRY
Right triangle and oblique triangle trigonometry, angles in degrees and radian measures and arcs; basic six trigonometric functions and their graphs, trigonometric identities, including addition laws, double-angle and half-angle formulas, inverse trigonometric functions, law of sines, law of cosines, the algebra of vectors, simple harmonic motions, polar representation of complex numbers.
For students majoring in business. Introduction to calculus topics include: limits, continuity, functions, differentiation and integration of polynomial. Applications are developed and applied to business oriented.
A first course in calculus sequence introduces the idea of limits, continuity, and derivatives. Further topics include techniques of differentiation, L’Hopital’s Rule, higher order derivatives, and related rates.
A continuation of MT201, this course covers applications of the derivative, the indefinite integral, and the definite integral and its applications. Newton’s method, the mean-value theorem, and the fundamental theorem of calculus are among the other topics covered.
A continuation of MT202, this course covers the advanced techniques of integration, the evaluation of the improper integrals, an introduction to differential equations, and infinite series. Specific topics include integrating with computer algebra systems, slope fields, Euler’s method, and convergence tests for infinite series. Maclaurin and Taylor series are discussed as well.
Methods from linear algebra and probability are developed and applied to applications related to business. Topics include functions, graphs, systems of linear equations and inequalities, matrix algebra, linear programming, counting technique and probability.
FUNDAMENTALS OF STATISTICS
Prerequisite: MT156 and CI213
Descriptive statistics, analysis and presentation of single variable data, including graphs, Pareto diagrams, histograms, measures of central tendency, measures of dispersion and measures of position, analysis of bivariate data, including linear correlation and linear regression, probability and probability distributions, including mean and variance of a discrete probability distribution and binomial distribution, normal distributions and applications of normal distributions.
ADVANCED CALCULUS I
Multiple integral and applications, differentiation and integration of vector fields and vector functions, line and surface integrals, Green’s theorem, Stoke’s theorem, divergence and curl and applications.
ADVANCED CALCULUS II
A continuation of MT301. Topics include multivariable differentiation, differentials, extremal problems, Lagrange multipliers, chain rule, mean value theorem, Taylor series in multivariate case, implicit and inverse mapping theorems, Jacobian and Laplace transforms.
This course is designed for students majoring in Mathematics. Topics covered are: systems of linear equations, determinants, vector spaces, linear transformations and matrices, inner orthogonality, eigenvalues; eigenvectors; and diagonalization together with selected applications, such as Markov processes, linear programming, economic models, least squares, and population growth.
ELEMENTARY DIFFERENTIAL EQUATIONS
An introductory look at classifying and solving basic types of differential equations. There is a focus on the first and second-order differential equations, both linear and non-linear, and their application to the physical sciences and engineering. Analytical and numerical techniques for solving will be discussed.
Introduction to modern algebra. Topics include elements of axiomatic set theory, group theory, ring and field theory, permutation groups, subgroups, cosets and Lagrange’s theorem.
Inferential statistics with applications to business and behavioral science, hypothesis testing, including one-tailed and two-tailed tests in distributions for estimating (mean) with known (standard deviation), inferences involving one population, including Student’s statistic for estimating with unknown , Chi-square distributions for estimating variances, inferences involving two populations, including estimating mean difference using two dependent samples and two independent samples respectively, applications of Chi-square statistics, including multinomial experiments and contingency tables.
INTRODUCTION TO REAL ANALYSIS
Riemann-Stiltjes integral, measure theory, topological properties, sequences, convergence, continuity, Cauchy sequences, differentiability and integrability.