Mathematics Courses*
MATH 103 • Basic Concepts of Arithmetic and Intuitive Geometry (3 units)
Prerequisite: Two years of high school algebra or MATH 116. Sets, number systems, ratios and percents, basic algorithms, and elementary number theory. Basic geometric figures, area and volume, and coordinate geometry. This course does not fulfill a core curriculum requirement.
MATH 104 • Mathematics for Liberal Arts Students (3 units)
Prerequisite: Two years of high school math or consent of the instructor. A nontechnical course emphasizing the ideas and concepts of mathematics. Algebra, number theory, set theory, geometry, statistics, probability, and analysis of the ideas and methods involved. This course does not fulfill a core curriculum requirement.
MATH 116 • College Algebra (3 units)
Prerequisite: Two years of high school algebra and pass the Mathematics Placement Examination (MPE) at level one or consent of the instructor. Sets and real numbers, linear equations and inequalities, polynomials, functions, graphing linear and polynomial functions, exponential and logarithmic functions, systems of equations, matrices and determinants, sequences and series. This course does not fulfill a core curriculum requirement.
MATH 117 • College Trigonometry (3 units)
Prerequisite: Two years of high school algebra. Complex numbers, trigonometric functions and applications. This course does not fulfill a core curriculum requirement.
MATH 120 • Mathematics for Elementary Teachers (3 units)
Prerequisite: MATH 116 or consent of the instructor. Introductory set theory, problem solving, basic algorithms, elementary number theory, geometry and coordinate geometry. Emphasis will be on the structural and logical foundations of mathematics. This course does not fulfill a core curriculum requirement.
MATH 145C • Data Analysis (3 units)
Prerequisite: Two years of high school math or consent of the instructor. The use of mathematics as a thinking and problem-solving tool, emphasizing data interpretation, graphs, tables, statistical arguments, probability, statistics, and the use and misuse of numbers. Spreadsheet applications include variables, conditionals, and statistical functions. Students majoring in Mathematics are exempt from taking the core curriculum requirement in mathematics.
MATH 170 • Precalculus (3 units)
Prerequisite: Pass the MPE at level two or consent of the instructor. Equations and inequalities; systems of linear equations: functions; graphs; exponential, logarithmic, and trigonometric functions and their limits; polynomial and rational functions; analytic geometry. This course does not fulfill a core curriculum requirement.
MATH 180 • Calculus I (4 units)
Prerequisite: Pass the MPE at level three or consent of the instructor. Graphing of functions, logarithmic functions and their inverses; limit of functions and derivatives; rules of differentiation and their application; definite and indefinite integrals. This course does not fulfill a core curriculum requirement.
MATH 181 • Calculus II (4 units)
Prerequisite: MATH 180 or consent of the instructor. Application of integration for volumes, work and areas; advanced techniques of integration; advanced application of integration; first order differential equations; parametric equations and polar coordinates; infinite sequences and series. This course does not fulfill a core curriculum requirement.
MATH/CAPL 207 • Programming in Visual Basic (3 units)
Prerequisite: Sophomore standing. Open to all majors, this course offers the basic concepts of programming, problem solving, programming logic, as well as the design techniques of an event-driven language. Special fee for computer lab use.
MATH/CAPL 208 • Programming in "C++" Language (3 units)
Prerequisite: Sophomore standing. This course is designed for mathematics and mathematics education majors. It offers an introduction to computer programming in a language that is the most current procedural language, emphasizing problem solving, flow charting and debugging. Special fee for computer lab use.
MATH/ENGL 210 • Technical Writing (3 units)
Prerequisite: ENGL 120C. Expository writing on technical subjects dealt with in industry, science, and education. Long and short forms including reports, proposals, journal articles, and research papers.
MATH/SOCS 265C • Introduction to Statistical Methods (3 units)
A course in basic statistical concepts and methods of collecting, summarizing, presenting, and interpreting data in the behavioral sciences, including descriptive statistics (use of graphs and charts), normal distribution curve, measures of central tendency, deviation and dispersion, hypothesis testing, statistical fallacies, correlation, and topics in probability. Students majoring in Accounting, Anthropology, Business Administration, International Business, Marketing, Psychology, Social Science, or Sociology must take MATH/SOCS 265C to fulfill the core curriculum requirement in mathematics. Students majoring in Mathematics are exempt from taking the core curriculum requirement in mathematics.
MATH 281 • Multivariable Calculus (4 units)
Prerequisite: MATH 181 or consent of the instructor. Vectors and geometry of space including cylindrical and spherical coordinates; vector functions and space curves with vector calculus, partial derivatives with directional derivatives and applications; multiple integrals with various coordinate systems with application; and second-order differential equations. Students who have already received credit for MATH 280: Calculus III or equivalent CANNOT receive credit at all for this course.
MATH 285 • Introduction to Advanced Mathematics (3 units)
Prerequisite: MATH 145C or consent of the instructor. A course for both mathematics and mathematics education majors. Covers the fundamentals of axiomatic proof theory including laws of inference, set theory, induction, cardinality, relations and functions.
MATH 291, 292, 293 • Special Topics (1, 2, 3-4 units)
Prerequisite: Consent of the instructor. Study of a special topic in mathematics. May be repeated for credit.
MATH 300 • Linear Algebra (3 units)
Prerequisite: MATH 285. Systems of linear equations, vector spaces, linear mappings, matrices and matrix algebra, eigenvectors and eigenvalues, Cayley-Hamilton theorem, quadratic forms, and applications.
MATH 310 • Differential Equations (3 units)
Prerequisite: MATH 281 and 300 or consent of the instructor. Methods of solution of ordinary differential equations and applications.
MATH 311 • Advanced Differential Equations (3 units)
Prerequisite: MATH 310. Topics in both ordinary and partial differential equations. Existence-uniqueness theorems, Laplace and Poisson equations, difference equations, nonlinear differential equations, first and second order equations, characteristics, Cauchy problems, introduction to boundary and initial value problems and their applications.
MATH 330 • Number Theory (3 units)
Prerequisite: MATH 285 or consent of the instructor. Divisibility properties of integers, prime numbers, the Euclidean algorithm, the unique factorization theorem, congruences, Fermat’s theorem, Wilson’s theorem, Diophantine equations, number-theoretic functions, and the quadratic reciprocity theorem.
MATH/SOCS 364C • Intermediate Statistical Methods (3 units)
Prerequisite: MATH/SOCS 265C or consent of the instructor. This course is designed to provide a review of fundamental descriptive and inferential procedures as well as a survey of more advanced procedures (including multiple regression, factorial analysis of variance, and a variety of non-parametric tests). Students majoring in Biology or Chemistry must take SOCS/MATH 364C to fulfill the core curriculum requirement in mathematics. Students majoring in Mathematics are exempt from taking the core curriculum requirement in mathematics.
MATH 365 • Probability and Statistics (3 units)
Prerequisite: MATH 281. Frequency interpretation of probability, axioms of probability theory, discrete probability and combinatorics, random variables, distribution and density functions, sampling theory and limit theorems.
MATH 370 • History of Mathematics (3 units)
Prerequisite: MATH 181 or consent of the instructor. An introduction to the history of mathematics from ancient times to the twentieth century, with applications to elementary mathematics through calculus.
MATH 371 • Combinatorics (3 units)
Prerequisite: MATH 281. Analysis of discrete structures and relations; proofs of existence and methods of enumeration. Permutations and combinations. The binomial coefficients, the inclusion-exclusion principle, recurrence relation, generating functions, the marriage theorem, and combinatorial designs.
MATH 375 • Discrete Mathematics (3 units)
Prerequisite: MATH 181. This course is designed to study graph theory including networks, voting systems including game theory and fair apportionment, and patterns.
MATH 380 • Elementary Analysis I (3 units)
Prerequisite: MATH 281 and MATH 285 or consent of the instructor. Rigorous analysis of the calculus and its foundations. Continuous and differentiable functions, and topological properties of the real number line.
MATH 381 • Elementary Analysis II (3 units)
Prerequisite: MATH 380. Riemann integration, sequences of functions, metric spaces, introduction to calculus of several variables. Emphasis is placed on writing mathematical proofs.
MATH 390 • Numerical Analysis (3 units)
Prerequisite: MATH 281 or equivalent. Numerical solution of algebraic equations. Approximate numerical solutions of systems of linear and nonlinear equations, interpolation theory, numerical differentiation and integration, and numerical solution of ordinary differential equations.
MATH 410 • Abstract Algebra (3 units)
Prerequisites: MATH 300 and 330 or consent of the instructor. An introduction to modern ideas of algebra, set theory, groups, rings, and fields.
MATH 420 • Higher Geometry (3 units)
Prerequisite: MATH 285. Euclidean geometry from an advanced standpoint, and topics in non-Euclidean geometry.
MATH 470 • Special Topics (1-3 units)
Prerequisite: Consent of the instructor. Study in a special topic in mathematics. May be repeated for credit.
MATH 480 • Individual Studies (1-3 units)
Prerequisite: Consent of the instructor and department chair. May be repeated for credit.
MATH 499C • Capstone Seminar in Mathematics (2 units)
Prerequisite: Mathematics major with senior standing or consent of the instructor. This course gives each student the opportunity to investigate particular topics in mathematics and present their findings to the other members of the class. Each student will investigate the role of the Christian church and its adherents in formulating and promoting discoveries in mathematics. This course fulfills the Core Curriculum Capstone requirement for Mathematics majors.
* This information is provided for ease of use, however it is not the official record. See the academic catalog for official course descriptions and requirements.