# COURSE DESCRIPTIONS

## Course Names

Click on a course name below to expand that section and view the course description.

##### MATH 104 - TRIGONOMETRY (4 Units)

Topics for this preparatory course for calculus include trigonometric functions and equations, solutions of both right and oblique triangles, trigonometric forms of complex numbers and De Moivre's Theorem. Course content also includes verification of trigonometric identities, inverse trigonometric functions, half and multiple angles, vectors and theit applications, parametric equations, polar coordinates and polar equations.

##### MATH 105 - COLLEGE ALGEBRA (4 Units)

This course offers a review of real numbers, real number exponents, and factoring polynomials. The course also covers equations and inequalities, solutions to systems of equations and inequalities, solutions to equations and inequalities involving absolute value, graphing relations and functions, matrices, determinants, matrix algebra. Complex numbers, the zeros of exponential, rational and radical functions, the conic sections, sequences, mathematical induction and the binomial theorem are also covered.

##### MATH 85 - corequisite support for COLLEGE ALGEBRA (2 Units)

A review of the core prerequisite skills, competencies, and concepts needed in College Algebra.
Intended for students who are concurrently enrolled in Math 105, College Algebra. Topics include a review of skills developed in Elementary and Intermediate Algebra such as solving and graphing equations (linear, quadratic, rational, radical, logarithmic and exponential) and inequalities, solving systems of equations, factoring, functions, and transformations.

##### MATH 120 - INTRODUCTION TO STATISTICS (4 Units)

The use of probability techniques, hypothesis testing, and predictive techniques to facilitate decision-making. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-square tests and t-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings. Applications using data from disciplines including business, social science, psychology, life science, health science, and education.

##### MATH 80 - corequisite support for INTRODUCTORY STATISTICS (2 Units)

A review of the core prerequisite skills, competencies, and concepts needed in Introduction to Statistics. Intended for students who are concurrently enrolled in Math 120, College Introduction to Statistics. Topics include a review of skills such as decimals, ratios, percents and proportions, solving and graphing linear equations, interpretation of slope, as well as basic probability. This course will also provide additional instruction and activities related to the key concepts learned in Math 120.

##### MATH 132 - IDEAS OF MATHEMATICS (3 Units)

This course covers sets and their application to permutations and combinations, the binomial theorem, correspondence, countability, finite probability measures, and the expectation. Also topics in geometry (Euclidean and non-Euclidean, tessellations and fractals) or beginning calculus (derivative and antiderivative of simple polynomial functions) are covered.

##### MATH 226 - CALCULUS I (4 Units)

This course offers an introduction to the calculus of single variables. Topics covered include limits, using limits of functions to determine continuity, finding derivatives and integrals of functions, basic properties of derivatives and integrals, the relationship between derivatives and integrals as given by the Fundamental Theorem of Calculus, and applications.

##### MATH 86 - corequisite support for CALCULUS I (2 Units)

A review of the core prerequisite skills, competencies, and concepts needed in first semester calculus. Students may concurrently enroll in Math 226 or Math 226H. Topics include a review of equation solving and graphing skills developed in algebra and trigonometry as well as a just-in-time review of operations on functions and geometrical concepts as needed.

##### MATH 227 - CALCULUS II (4 Units)

This second course in differential and integral calculus of a single variable covers: integration; techniques of integration; infinite series; polar and parametric equations; applications of integration.

##### MATH 87 - corequisite support for CALCULUS II (2 Units)

A review of the core prerequisite skills, competencies, and concepts needed in second semester calculus. Students may concurrently enroll in Math 227 or Math 227H. Topics include a review of differentiation and integration developed in first semester calculus as well as a just-in-time review of other skills needed in second semester calculus, such as partial fraction decomposition, series and sequences, graphing and trigonometry.

##### MATH 228 - CALCULUS III (5 Units)

This course covers vectored and the geometry of space, vector-valued functions, the calculus of functions of several variables, multiple integrals, Green's theorem, divergence theorem, Stoke's theorem and applications.

##### MATH 270 - DIFFERENTIAL EQUATIONS (3 Units)

This course covers elementary differential equations. Solutions of first order differential equations, linear differential equations with constant coefficients, simultaneous linear systems, series solutions, the Laplace transformation and applications.

##### MATH 231 - LINEAR ALGEBRA (3 Units)

This course covers systems of linear equations, matrix operations, determinants, vectors, and vector spaces, eigenvalues and eigenvectors and linear transformations. With orthogonality, inner product spaces and numerical methods if time permits.