# Course Descriptions

## Mth 265 Introduction to Statistics (3 units)

A basic statistics course applicable to education, business and the hard sciences. Topics covered include descriptive statistics, the normal, binomial, F-, and Chi Squared distributions and hypothesis testing. Optional topics might include additional non-parametric tests and ANOVA. TI-83 graphing calculator or Microsoft Excel will be required.

## Mth 271 Calculus 1 (5 units)

Study of differential and integral calculus with applications. Students are expected to have a graphing calculator. Emphasis is placed on using calculus to solve problems. Lab time is included in the schedule. Prerequisite: Mth 251 or approval of instructor.

## Mth 272 Calculus 2 (5 units)

Continuation of Mth 271, including study of integral calculus with emphasis on the definite integral, transcendental functions along with applications, sums and sequences, and an introduction to differential equations. Students are expected to have a graphing calculator and ability to use appropriate computer software. Lab time is included in the schedule. Prerequisite: Mth 271 or acceptable AP examination credit.

## Mth 295 Mathematical Notation and Proof (3 units)

Introduction to standard mathematical notation, methods, truth tables and principles of symbolic logic for use in determining the validity of arguments. The remainder of the course will deal with proper notation and structure in mathematical proofs including direct and indirect proofs, mathematical induction and construction of counter-examples. Application will be made to a field of mathematics such as set theory, algebra or geometry.

## Mth 373 Calculus 3 (4 units)

A continuation of Mth 272, this course includes the study of vector calculus, three-dimensional calculus, partial derivatives, multiple integrals, differential calculus and other selected topics in vector calculus. Prerequisite: Mth 272.

## Mth 376 Discrete Mathematics (3 units)

Includes the study of relations and functions, graph theory, counting principles and combinatorics, set theory, Boolean algebra, code theory, linear programming and other selected topics. Prerequisite: Mth 295 or approval of instructor.

## Mth 380 Modern Geometry (3 units)

General study of deductive systems of geometry including Euclidean, projective, finite and other nonâ€“Euclidean geometries. Prerequisite: Mth 295 or approval of instructor.

## Mth 387 Theory of Probability (3 units)

Probability and combinatorics; discrete and continuous random variables; the normal, gamma, Chi-square, Poisson and binomial distributions with applications. Prerequisite: Mth 373 or approval of instructor.

## Mth 388 Mathematical Statistics (3 units)

A continuation of Mth 387, this course covers various multivariate probability distributions, bias and unbiased estimators, Least Square estimation, ANOVA and Block Designs, a revisit of hypothesis testing and a study of nonparametric statistics. Prerequisite: Mth 387.

## Mth 420 Number Theory (3 units)

Provides a developmental study of the natural numbers and the integers. Topics include mathematical induction, prime numbers, divisibility, congruence, Diophantine equations and selected theorems of Fermat, Wilson, Euler, Legendre and Gauss and their applications to related programs of today. Prerequisite: Mth 295 or approval of instructor.

## Mth 471 Linear Algebra (3 units)

Includes the study of matrices, determinants, vector spaces, inner products, linear transformations, eigenvectors and others. Problem solving includes the use of matrices, linear programming, difference equations and other techniques from discrete mathematics. Prerequisite: Mth 373 or approval of instructor.

## Mth 473 Modern Algebra (3 units)

Study of the properties and operations within groups, rings, integral domains, fields, normal subgroups, quotient groups, homomorphism's and isomorphism's. Prerequisite: Mth 373 or approval of instructor.

## Mth 484 Differential Equations (3 units)

Classification of differential equations is covered. First order equations, exact differentials, integrating factors, higher order differential equations, method of undetermined coefficients, variation of parameters, operator methods, and solution by infinite series and Laplace transformations are taught. Prerequisite: Mth 373 or approval of instructor.

## Mth 489 Real Analysis (3 units)

Introduction to the topics of real analysis by studying the topology of Rn, continuity, differentiability, integration and how these topics are related. Included will be proofs of the Heine-Borel and Bolzano-Weierstrass theorems, the intermediate value and mean value theorem, as well as the fundamental theorem of calculus. Prerequisite: Mth 373 or approval of instructor.

## Mth 495 Topics in Mathematics (3 units)

The capstone course for all mathematics majors. Students will meet as a group once per week to review major competencies in the math major and take group wide assessment. Students will also complete a written project and present their findings to a committee of peers and a selected number of faculty. Prerequisite: senior standing.