For math classes, a minimum grade of “C” is required in the prerequisite course. It is strongly recommended that the prerequisite course be completed within the last two years. For mathematics prerequisite challenge information, please contact the Physical Science division office at (831) 646-4257.

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Course Descriptions

MATH 10 MATHEMATICS FOR GENERAL EDUCATION

This course offers a historical study of elementary mathematics and discussion of philosophic differences of ancient and modern mathematics. Topics from modern mathematics, such as set theory, symbolic logic, modular systems and the axioms of various number systems are covered.

This course focuses on the development of quantitative reasoning skills through in-depth, integrated explorations of topics in mathematics, including real number systems and subsystems. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. 

This course reviews polynomial, exponential, and logarithmic functions; trigonometric functions; theory of equations; binomial theorem; conic sections; inverse functions; and trigonometric equations. Additional topics from coordinate geometry and DeMoivre’s Theorem are covered.

MATH 313 SUPPORT FOR PRE-CALCULUS

2 units • Pass / No Pass grading only • 2 hours lecture

This course is intended for students concurrently enrolled in MATH 13, Pre-Calculus. Students review the needed core skills, competencies, and concepts. It is intended for majors in science, technology, engineering, and mathematics. Topics include a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, absolute value equations and inequalities, exponential and logarithmic expressions and equations, conic sections, functions including composition and inverses, an in-depth focus on quadratic functions, and a review of topics from geometry. This course is appropriate for students who are confident in their graphing and beginning algebra skills.

This course covers 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 and t-tests; and application of technology for statistical analysis, including the interpretation of the relevance of the statistical findings. It covers applications using data from disciplines including business, social sciences, psychology, life science, health science, and education. This course also contains a computer component. Calculations are done with the aid of a desktop computer or with a handheld calculator/computer having built-in functions.

MATH 316 SUPPORT FOR ELEMENTARY STATISTICS

2 units • Pass / No Pass grading only • 2 hours lecture

This course is for students concurrently enrolled in MATH 16. Students review algebraic, geometric, and arithmetic procedures and concepts that underlie statistical formulas and concepts, do hands-on activities that promote a deeper understanding of statistical ideas, and practice study skills that promote success in MATH 16.

This course is suitable for students of mathematics, philosophy, biological and behavioral sciences, business, and economics. Topics include selections from symbolic logic, sets, linear programming, probability theory, statistics, and game theory, with selected applications from business, social sciences, biological science, and behavioral science.

MATH 317 SUPPORT FOR FINITE MATHEMATICS

2 units  • Pass / No Pass grading only • 2 hours lecture

Support for Finite Mathematics is for students concurrently enrolled in MATH 17. It offers a review of the core skills, competencies, and concepts needed in Finite Mathematics. Topics include a review of computational skills developed in Intermediate Algebra, factoring, operations on rational and radical expressions, linear, exponential and logarithmic expressions and equations, an introduction to matrices, functions including composition and inverses, and quadratic functions.

MATH 18 CALCULUS AND ANALYTIC GEOMETRY FOR BIOLOGY / SOCIAL SCIENCE / BUSINESS

This course covers polynomials, rational, exponential, and logarithmic functions; graphs, limits, derivatives, differentiation techniques, and applications of the derivative; integration and applications of the integral; functions of several variables; and partial derivatives. The course is designed for students in biology, social sciences, business, and management. This course is not a substitute for MATH 20A.

2 units • Pass / No Pass only • 2 hours lecture

This course is intended for students currently enrolled in MATH 18 and is intended for majors business. It offers a review of the core skills, competencies, and concepts needed in business calculus. Topics include a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, linear, exponential and logarithmic expressions and equations, an introduction to matrices, functions including composition and inverses, and an in-depth focus on quadratic functions. This course is appropriate for students who are confident in their graphing and beginning algebra skills.

A first course in differential and integral calculus of a single variable: functions; limits and continuity; techniques and applications of differentiation and integration; Fundamental Theorem of Calculus. Primarily for science, technology, engineering and math majors.

A second course in differential and integral calculus of a single variable: Integration; techniques of integration; infinite sequences and series; polar and parametric equations; applications of integration. Primarily for science, technology, engineering and math majors.

This course covers vector-valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green’s Theorem, Stokes’ Theorem, divergence theorem.

This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Investigates the properties of vectors in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included.

The course is an introduction to ordinary differential equations including both quantitative and qualitative methods as well as applications from a variety of disciplines. Introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, and singular points, Laplace transforms and linear systems.

In this course students are introduced to discrete mathematical systems. Topics include logic, recursion, induction; sets, equivalence and order relations, functions; introduction to trees, graph theory, proofs, circuit minimization techniques, network models, combinatorics, complexity; algebraic structures; coding machines.

This course prepares students for Elementary Statistics (MATH 16). Students develop the quantitative reasoning skills necessary for success in statistics through hands-on exploration with data. Topics include working with numerical information (fractions, decimals, percentages), evaluating expressions related to statistical formulas, graphical and numerical descriptive statistics for quantitative and categorical data including two-way tables and linear regression, and an introduction to the normal distribution. There is a focus on the reading, writing, and critical thinking skills needed for MATH 16. This course is appropriate for students who do NOT plan to major in math, science, computer science, business, technology, engineering, or other calculus intensive fields. This course can serve as the equivalent to the prerequisite for Elementary Statistics (MATH 16). It may not be used to satisfy the pre-requisite for any other math course.

This course includes an introduction to basic algebraic principles, simple linear equations, positive and negative numbers, and the four basic arithmetic operations using monomials and polynomials, literal equations, reading and constructing graphs, systems of linear equations, and applications of principles to verbal problems, factoring, fractions and equations containing fractions, square roots and radicals, quadratic equations, and ratios and proportion.

This course covers properties of real numbers, complex numbers, polynomials, exponential and logarithmic functions, first- and second degree equations and inequalities, systems of equations, progressions, graphs of conics, determinants, and an introduction to coordinate geometry. A

The Math Learning Center offers an individualized program of study to assist those students who are currently enrolled in basic skills mathematics classes. The student may work with an instructor and tutor.

This course is designed to provide supervised tutoring for students concurrently enrolled in a basic skills mathematics course or any course that requires basic mathematics skills to complete the course work.  Enrollment limitation:  Must be currently enrolled in a mathematics course below calculus level.

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