Course Descriptions

Math 2 Pre-Calculus Mathematics/ Prerequisite: Math 124/ 4 units / 5 Lecture hours per week

This is a pre-calculus course including the elements of college algebra. Topics covered include: equations and inequalities, relations and functions, polynomials

and rational functions, matrices and determinants, sequences and limits, trigonometric functions, the binomial expansion, curve sketching techniques, Demoivre’s

Theorem and complex numbers.

Math 3A Analytic Geometry and Calculus/Prerequisite: Math 2 / 4 units / 5 Lecture hours per week /3 Lab hours per week Basic concepts of analytic geometry; limits and continuity; differentiation of algebraic functions with applications to graphing, solving max-min problems, and using Newton’s method; anti-differentiation; differentiation and integration of trigonometric, exponential and logarithmic functions; integration applications including area under a curve, volume of revolution, work, liquid pressure, area of surface of revolution, and length.

Math 3B Analytic Geometry and Calculus/ Prerequisite: Math 3A / 4 units / 5 Lecture hours per week

Further applications in integration including integration and differentiation of: trigonometric, exponential, logarithmic functions, inverse trigonometric

and hyperbolic functions; techniques of integration; and improper integrals. Indeterminate forms of limits, infinite series, Taylor’s formula, rotations

and translations in the plane, polar coordinates, and equations of conics will be included.

Math 3C Analytic Geometry and Calculus/ Prerequisite: Math 3B / 4 units / 5 Lecture hours per week The study of vectors and parametric equations, partial differentiation, functions in two or more variables, gradients, higher-order derivatives, multiple integrals, cylindrical and spherical coordinates, vector functions, and their derivatives, vector fields, surface and line integrals, theorems of Green and Stokes, the divergence theorem.

Math 7 College Algebra/ Prerequisite: Math 253/ 4 units / 5 Lecture hours per week

This is a college algebra course designed for the general education student. Topics include: polynomial, exponential and logarithmic functions, polynomial

equations, matrices, determinants, and systems of linear equations, sequences, series, mathematical induction, permutations, combinations, the binomial

theorem, and conic sections.

Math 8 College Algebra for Brief Calculus/ Prerequisite: Math 253/ 4 units / 5 Lecture hours per week

Designed to prepare students for success in: A Brief Course in Calculus(Math 11). Polynomial, rational, exponential, and logarithmic functions.

Matrices, determinants, and systems of linear equations and inequalities. Absolute value equations and inequalities. Polynomial equations and inequalities.

Math 9 Finite Mathematics/ Prerequisite: Math 253/ 3 units / 3 Lecture hours per week / 3 Lab hours per week

The study of linear functions, matrices, vectors and these topics as they apply to linear programming techniques. The study of sets, logic, counting and

applications of these topics to probability and stochastic processes. The study of computers and programming as related to problem-solving in all of the

above topics as well as to the representation of numerical concepts in a finite way.

Math 10 Introduction to Statistics /Prerequisite: Math 253/ 3 units / 3 Lecture hours per week / 3 Lab hours per week Covers descriptive statistics, probability theory, and inferential statistics. Topics covered include: tabular and graphical representation of data , counting principles, permutations, combinations, rules of probability, continuous and discrete probability distributions, sampling distributions, the central limit theorem, estimating population parameters, hypothesis testing, correlation, regression, contingency tables, and chi-square. Applications are selected from the fields of business, economics, life science, social science, and physical science.

Math 11 A Brief Course in Calculus /Prerequisite: Math 8/ 4 units / 5 Lecture hours per week

A review of algebra topics. Matrix algebra, Gauss-Jordan elimination, inverse of square matrix, determinants, the calculus topics of limits, derivatives,

integral, including measures of central tendency, continuous and normal density functions, differential equations as applied to one or more variable functions

will be studied. Applications of these topics to the fields of business, economics, social and biological sciences will be stressed.

Math 24 Elementary Differential Equations/ Prerequisite: Math 3C/ 3 units / 4 Lecture hours per week

Includes the study of first, second and higher order linear differential equations. Methods include variation of parameters, Laplace transforms, and

series solutions. Topics also include the study of systems of linear ordinary partial differential equations by separation of variables.

Math 26 Introduction of Linear Algebra/ Prerequisite: Math 3B/ 3 units / 4 Lecture hours per week

Includes the study of vectors, vector spaces and subspaces, matrices, systems of linear equations, dimension, determinants, eigenvalues, and linear transformations.

Math 124 Trigonometry/ Prerequisite: Math 253/ 3 units / 3 Lecture hours per week An introduction to trigonometric functions with emphasis on both the unit circle and the right triangle methodologies.

Math 251 Beginning Algebra/ Prerequisite: Math 351 / 4 units / 5 Lecture hours per week

An introduction to the basic properties of real numbers, numbers and sets, operations with real numbers, solving linear and quadratic equations, and the

inequalities in one variable, systems of equations, operations with fractions, functions, relations and graphs, operations with polynomials, special products

and factoring. May be offered by mediated mode of instruction.

Math 251A Beginning Algebra/ Prerequisite: Math 351 /3 units / 3 Lecture hours per week

This is the first of a two-semester sequence of courses that is equivalent to Math 251. Topics include linear equations and inequalities in one variable,

graphing linear equations and inequalities in two variables, solving systems of linear equations, operations with polynomials, and simplifying exponential

expressions.

Math 251B Beginning Algebra/ Prerequisite: Math 251A / 3 units / 3 Lecture hours per week

This second of a two-semester sequence of courses that is equivalent to Math 251. Topics include factoring polynomials, simplifying rational and

Radical expressions, solving rational, radical and quadratic equations

Math 253 Intermediate Algebra/ Prerequisite: Math 251 / 4 units / 5 Lecture hours per week Further study of the real-number system, open sentences in one variable, polynomials and factoring, systems of linear equations, functions and sequences, rational numbers and functions, irrational and complex numbers, quadratic equations and functions, exponential and logarithmic functions, quadratic relations and systems. May be offered by mediated mode of instruction.

Math 255 Intermediate Algebra - Accelerated/ Prerequisite: Math 251 / 3 units / 3 Lecture hours per week

Accelerated course designed for those with a strong grasp of beginning algebra topics. Because less time is spent on review topics, this course may be more

difficult than Math 253. Topics include linear, quadratic, exponential, and logarithmic functions, complex numbers, sequences, series, binomial expansions, quadratic, logarithmic and exponential equations, and nonlinear inequalities.

Math 351 Pre-Algebra Mathematics/ 3 units / 3 Lecture hours per week

Designed for those needing a rapid review of arithmetic before taking a more advanced course. The fundamentals of arithmetic computations with

whole numbers and decimals will be discussed briefly, computations of fractions and integers will be covered in depth. Problems solving techniques

involving ratio, proportion, percent, geometric formulas, and linear algebraic equations will be applied to real world situations. May be offered by mediated

mode of instruction.

Math 189 Special Topics/ .5 – 4 units / .5- 4 Lecture hours per week / 5- 9 Lab hours per week

The Special Topics course is a grouping of short seminars designed to provide students with the latest ideas in a field of

study. The course content is thematic in nature and each seminar within the course differs from other offerings in the same course.

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