### Mathematics Courses Sequence

**Math 2 Pre-Calculus Mathematics***/ Prerequisite: Math 124/ 5 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.

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**Math 3A Analytic Geometry and Calculus***/Prerequisite: Math 2 / 5 units / 5 Lecture 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 / 5 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.

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**Math 3C Analytic Geometry and Calculus***/ Prerequisite: Math 3B / 5 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/ 5 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/ 5 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 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/ 5 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 14 Mathematics for Elementary School Teachers (Formerly Math 112) /**

*Prerequisite: Math 253/ 5 units/ 5 Lecture hours per week*

Focuses on the development of quantitative reasoning skills through in-depth, activity-based explorations of topics in mathematics, including real number systems, subsystems, geometric concepts in two and three dimensional space, and descriptive statistics. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning.

**Math 24 Elementary Differential Equations***/ Prerequisite: Math 3B/ 4 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/ 4 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 103 Mathematical Ideas (Formerly Math 205) /**

*Prerequisite: Math 353 / 3units / 3 Lecture hours per week*

Learn problem solving skills and analytical thinking to investigate areas such as consumer concerns, probability, statistics, and mathematics in the work place. This course meets the minimum general education requirement and is not a prerequisite for higher level math courses.

**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.

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**Math 253 Intermediate Algebra***/ Prerequisite: Math 251 / 5 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 353 Beginning Algebra***/ Prerequisite: Math 351 / 5 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 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.