Mathematics (MATH)

MATH 103  Mathematical Ideas  3  

The objectives of this course are to develop an appreciation for mathematics, to provide an insight into the methods of reasoning used by mathematicians, and to discuss its historical development. It is intended for the liberal arts student who has had little contact with mathematics, and elementary and secondary education majors.

Core Category: Mathematics  
MATH 103L  Mathematical Ideas Lab  1  

The course reviews and reinforces concepts covered in MATH 103. This one-credit course provides students with tutoring and study skills to facilitate success as they develop an appreciation for mathematics and methods of reasoning used by mathematicians. It is intended for students that did not score 250 points in the Math Accuplacer after participating in the Esperanza College Bridge Program.

MATH 104  Finite Math  3  
MATH 105  Math of Finance  3  
MATH 106  Calculus for Management, Social and Life Sciences  3  
MATH 107  Mathematical Perspectives for Educators  3  

This course will explore the fundamental concepts of Geometry and Algebra along with their historical development. Computer topics that are useful for educators will also be addressed along with the historical development of personal computers. It is intended for the student who intends to teach at the elementary or middle school level.

Core Category: Mathematics  
MATH 108  Mathematical Perspectives for Science  3  
MATH 130  Special Topics  1-3  
MATH 140  College Algebra  3  

This course will explore techniques for solving a variety of algebraic equations involving linear, quadratic, exponential, and logarithmic functions. These techniques will be used in solving problems involving the graphical and algebraic representation of quantitative data using these functions. In addition, inequalities and systems of equations will be studied. This course is intended for any student who is preparing to take Pre-calculus or any other course requiring these algebraic skills. NOTE: A student who has received credit for a higher level MATH course (exclusive of MATH 220 or an equivalent course in statistics for behavioral and social sciences) may not take this course for credit.

Core Category: Mathematics  
MATH 140B  College Algebra (Bi-Lingual Chinese/En)  3  
MATH 150  Pre Calculus  3  

An in-depth study of functions and graphical analysis. Polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions will be studied. A student who has successfully taken calculus in high school may not take this course for credit

Core Category: Mathematics  
MATH 160  Calculus I  3  

This first semester calculus course will introduce concepts in the differentiation and integration of functions of one variable. These topics include limits, continuity, differentiation, integration, the mean value theorem and the fundamental theorem of calculus.

Core Category: Mathematics  
MATH 161  Calculus II  3  

This second semester calculus course continues the development of single variable calculus. Topics include applications of integration, integration techniques and an introduction to infinite sequences and series.

MATH 214  Calculus III  3  

This third semester calculus course introduces the concepts of three-dimensional space and calculus of several variables, including partial differentiation and multiple integrals.

Prerequisites: MATH-161; Minimum grade C  
MATH 220  Elementary Statistics  3  

Meaning, purposes and processes of statistical methods; selection of representative, parallel or equivalent groups; graphic representation; measures of central tendency; variability; normal distribution; probability; binomial coefficient; random sampling; confidence levels; interference; t-test, analysis of variance; chi square; correlation. Theory and practica application of above operations of computer where applicable. This course does not count toward the requirements for the major or minor in mathematics. Satisfies the quantitative reasoning general education requirement. Credit earned only once for BUSA 221, MATH 220, PSYC 220, or SOCI 220.

Core Category: Mathematics  
MATH 221  Statistics for Data Analysis  3  

Introduction to statistics with an emphasis on theory and application. Includes probability; sampling; t-test, analysis of variance; chi square; correlation; regression; effect size. Intended as an introduction for students meeting additional statistics, data science, or data analysis coursework. This course does not count toward the major or minor in mathematics.

Core Category: Mathematics  
MATH 230  Special Topics  1-4  
MATH 240  Discrete Mathematics  3  

This course develops basic symbolic logic and proof techniques, and introduces students to discrete structures including sets, relations, functions, matrices and graphs. Also includes an introduction to combinatorics and other mathematical topics related to the study of computer science.

Core Category: Mathematics  
MATH 244  Linear Algebra  3  

An introductory course in linear algebra. Topics include linear equations, matrices, determinants, eigenvalues, linear transformations and vector spaces.

Core Category: Mathematics  
MATH 300  Differential Equations  3  

A study of first-order and linear differential equations, linear systems and Laplace transforms.

Prerequisites: MATH-161; Minimum grade C  
MATH 310  Number Theory  3  

An introduction to elementary number theory and its applications, particularly in the field of cryptography.

Prerequisites: MATH-240; Minimum grade C  
MATH 314  Math Statistics  3  
MATH 315  Probability  3  

This course is a rigorous introduction to the field of probability. It will cover the mathematical theory of probability, and applications of the theory to a variety of real-world problems.

Prerequisites: MATH-161 and MATH-240; Minimum grade C in each  
MATH 316  Mathematical Statistics  3  

A calculus - based introduction to mathematical statistics and the statistical programming language R. A study of the mathematical foundations of statistical methods, and the application of these methods using the programming language R. Covers data analysis using R, random variables and distributions, estimation, hypothesis testing, linear regression. Prerequisite: MATH 315

Prerequisites: Take MATH-315; MINIMUM GRADE C  
MATH 320  History of Mathematics  3  

A survey of how mathematics has developed over the past 5000 years; beginning with the origin of math in the ancient civilization of antiquity progressing through the 20th century. The course will concern itself primarily with mathematical content. Various examples of the development of mathematical areas are studied, with a particular focus on the development of geometry from Euclidean geometry through modern non-Euclidean geometry.

MATH 330  Special Topics  1-4  
MATH 330D  Number Theory & Cryptography  3  
MATH 330E  Mathematical Statistics  3  
MATH 330G  Partial Differential Equations  3  
MATH 330H  Inverse Problems  3  
MATH 330I  Graph Theory  3  

This course is an introduction to graph theory. Topics include graphs, trees, cycles, Eulerian cycles, shortest path algorithm and spanning tree algorithm.

MATH 340  Geometry  3  

A study of Euclidean and hyperbolic geometry. The postulates and principal definitions and theorems of these two geometries will be studied and compared. Other non-Euclidean geometries will also be introduced.

MATH 350  Advanced Calculus  3  

A rigorous development of multivariable calculus and vector analysis. Topics include Green's, Stokes' and Gauss' theorems; vector fields; transformations and mappings.

Prerequisites: MATH-240; Minimum grade C  
MATH 380  Chaotic Dynamical Systems  3  

This course will explore discrete dynamical systems, including orbits, graphical analysis, fixed point methods, bifurcation, the quadratic family and chaos.

Prerequisites: Take MATH-240; Minimum grade C, TR, CR, WV  
MATH 400  Directed Study  1-4  
MATH 404W  Real Analysis  3  

This course provides an axiomatic construction of the real number system. Topics include sequences, Cauchy sequences, metric spaces, topology of the real line, continuity, completeness, connectedness and compactness, convergence and uniform convergence of functions, Riemann integration. Writing-intensive course.

Prerequisites: MATH-350; Minimum grade C  
MATH 405  Complex Variables  3  
MATH 414W  Abstract Algebra  3  

The properties of formal systems such as groups, rings, and fields. The approact is axiomatic. Writing-intensive course.

Prerequisites: MATH-240; Minimum grade C  
MATH 415  Topology  3  

This course provides a basic introduction to the definitions and concepts of point set topology, and a brief introduction to algebraic topology (homotopy and the fundamental group).

Prerequisites: Take MATH-240; Minimum grade C, TR, CR, WV  
MATH 422  Foundations and Philosophy of Mathematics  3  

This culminating senior experience course in the mathematics major provides an introduction to mathematical philosophy with a consideration of the logical foundations of mathematics, its culture and practices. Also includes a development of the number systems. A broad review of mathematics will be done in preparation for the ETS Major Field test.

MATH 430  Directed Study  1-3  
MATH 495  Internship  1-12  
MATH 498  Teaching Assistant  1-3  
MATH 499  Research Assistant  1-3