Courses

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

MT123

ELEMENTARY ALGEBRA

MT155

INTERMEDIATE ALGEBRA

MT156

GENERAL EDUCATION MATH

MT158

COLLEGE ALGEBRA

MT160

ELEMENTARY PLANE TRIGONOMETRY

MT200

BUSINESS CALCULUS

MT201

CALCULUS I

MT202

CALCULUS II

MT203

CALCULUS III

MT211

FINITE MATHEMATICS

MT221

FUNDAMENTAL OF STATISTICS

MT301

ADVANCED CALCULUS I

MT302

ADVANCED CALCULUS II

MT306

LINEAR ALGEBRA

MT310

ELEMENTARY DIFFERENTIAL EQUATIONS

MT311

ABSTRACT ALGEBRA

MT322

INFERENTIAL STATISTICS

MT411

INTRODUCTION TO REAL ANALYSIS

 

COURSE DESRIPTIONS

 

MT121                                                        FALL/WINTER/SPRING/SUMMER

COLLEGE-PREPARATORY MATHEMATICS
4 CREDITS
Prerequisite: Placement.

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.

 

MT123                                                             FALL/WINTER/SPRING/SUMMER

ELEMENTARY ALGEBRA
4 CREDITS
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.

 

MT155                                                             FALL/WINTER/SPRING/SUMMER

INTERMEDIATE ALGEBRA
4 CREDITS
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.

 

MT156                                                             FALL/WINTER/SPRING/SUMMER

 GENERAL EDUCATION MATH
4 CREDITS
Prerequisite: MT155

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.

 

MT158                                                             FALL/WINTER/SPRING

COLLEGE ALGEBRA
4 CREDITS
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. 

 

MT160                                                            WINTER/SPRING

ELEMENTARY PLANE TRIGONOMETRY
4 CREDITS
Prerequisite: MT158 

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.

 

MT200                                                           FALL/WINTER/SPRING

BUSINESS CALCULUS
4 CREDITS
Prerequisite: MT156

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.

MT201                                                            FALL/SPRING

CALCULUS I
4 CREDITS
Prerequisite: MT160

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. 

 

MT202                                                            FALL/WINTER

CALCULUS II
4 CREDITS
Prerequisite: MT201

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.

 

MT203                                                            SPRING

CALCULUS III
4 CREDITS
Prerequisite: MT202

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.

 

MT211                                                            WINTER/SPRING

FINITE MATHEMATICS
4 CREDITS
Prerequisite: MT156

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.

 

MT221                                                             FALL/WINTER/SPRING/SUMMER

FUNDAMENTALS OF STATISTICS
4 CREDITS
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.

 

MT301                                                            FALL

ADVANCED CALCULUS I
4 CREDITS
Prerequisite: MT203

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.

 

MT302                                                            WINTER

ADVANCED CALCULUS II
4 CREDITS
Prerequisite: MT301

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.

 

MT306                                                            SPRING

LINEAR ALGEBRA

 4 CREDITS
Prerequisite: MT201

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.

 

MT310                                                         FALL

ELEMENTARY DIFFERENTIAL EQUATIONS
4 CREDITS
Prerequisite: MT203

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.

 

MT311                                                         FALL

ABSTRACT ALGEBRA
4 CREDITS
Prerequisite: MT203

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.

 

MT322                                                         SPRING

INFERENTIAL STATISTICS
4 CREDITS

Prerequisite: MT221

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.

 

MT411                                                       SPRING

INTRODUCTION TO REAL ANALYSIS
4 CREDITS
Prerequisite: MT301

Riemann-Stiltjes integral, measure theory, topological properties, sequences, convergence, continuity, Cauchy sequences, differentiability and integrability.

 

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