# COURSE DESCRIPTIONS

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

### MATH 10 - BASIC MATH SKILLS (3 Units)

This course covers the basic operations applied to whole numbers, fractions (including mixed numbers) and decimals. Prime factorization **, **least common multiple, ratio and proportion, similar triangles, averages, graphs and tables, square roots, the Pythagorean theorem, measurement, operations on signed numbers and solutions of simple linear equations are also covered.

### MATH 12 - PRE-ALGEBRA (3 Units)

This course covers signed-number arithmetic, order of operations, algebraic expressions, solving equations, and factoring.

### MATH 42 - ELEMENTARY ALGEBRA (4 Units)

This course covers signed number arithmetic, square roots, order of operations, algebraic expressions, solving equations, factoring, graphs of linear equations and solving systems of equations.

### MATH 63 - PRE-STATISTICS

This non-STEM course covers core algebra skills needed to understand the concepts, formulas, and graphs used in transfer-level statistics. Integrates numeracy, proportional reasoning, algebraic reasoning, and functions. Develops conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. Throughout the course, college success content will be integrated with mathematical topics. This course is NOT intended for math, science, computer science, business, or engineering majors.

### MATH 90 - INTERMEDIATE ALGEBRA (4 Units)

This course is designed to serve as preparation for the study of college algebra, statistics, trigonometry and other college mathematics courses. Topics include a review of the real number system, an introduction to imaginary and complex numbers, the solution of first degree, quadratic and systems of equations, polynomials, rational expressions, exponents and radicals, graphs of functions (both linear and nonlinear) and of relations, and exponential and logarithmic functions.

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

This course covers basic statistical techniques, including design and analysis for both parametric and non-parametric data. Descriptive statistics included are measures of central tendency and measures of dispersion. Graphical techniques of illustrating the data are covered. Probability and its application to inferential statistical procedures is covered. Inferential statistics included are estimation and hypothesis testing, chi-square, analysis of variance and regression. Applications are drawn from a variety of fields.

### 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 (5 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 227 - CALCULUS II (5 Units)

This course covers the calculus of logarithmic, exponential, trigonometric and hyperbolic functions, integration techniques, L'Hospital's rule, improper integrals infinite series, conic sections, parametric equations and polar coordinates.

### 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.