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 |

MT222 | 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.

**MT222 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.