## Mathematics Courses

### MATH D: Trigonometry

3 units: lecture 3 units; lab 0 units

*Prerequisite: MATH 104 or MATH 104R and MATH 106 or MATH 106R or qualifying score
on Placement Test and proof of Geometry and Algebra II.*

*Acceptable for credit: California State University*

C-ID MATH 851

This course covers the study of trigonometric functions. Topics include graphs, inverses, identities and proofs related to trigonometric expressions, trigonometric equations, solving right and oblique triangles, and the introduction to vectors.

### MATH G: Mathematics for the Liberal Arts Student

4 units: lecture 4 units; lab 0 units

*Prerequisite: MATH 903 or 903R or qualifying score on Placement Test and proof of
Algebra I.*

*Acceptable for credit: California State University*

This course introduces students to creative mathematical thinking and problem solving. Topics include logic, geometry, applications of exponential and logarithmic functions, and the mathematics of probability and statistics. It is intended to provide a survey of current mathematical techniques for the non-specialist.

### MATH 1: Pre–Calculus Algebra

4 units: lecture 4 units; lab 0 units

*Prerequisite: MATH 106 or 106R or qualifying score on Placement Test and proof of
Algebra II*

*Acceptable for credit: University of California, California State University*

This is a college level course in algebra for majors in science, technology, engineering, and mathematics. Topics include polynomial, rational, radical, exponential, absolute value, and logarithmic functions, systems of equations, theory of polynomial equations, and analytic geometry.

### MATH 2: Pre–Calculus Algebra and Trigonometry

6 units: lecture 6 units; lab 0 units

*Prerequisite: MATH 104 or MATH 104R AND MATH 106 or MATH 106R or qualifying score
on Placement Test and proof of Geometry and Algebra II.*

*Acceptable for credit: University of California, California State University*

This is an intensive course whose topics are traditionally found in the separate courses of precalculus algebra and trigonometry. This course is a preparation for calculus covering polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions and their graphs as well as additional topics in analytic geometry. This course is designed for the student in mathematics who desires to fulfill the requirements of Math D and Math 1 in one semester.

### MATH 3A: Calculus and Analytical Geometry

5 units: lecture 5 units; lab 0 units

*Prerequisite: MATH 001 AND MATH D or MATH 2 or qualifying score on Placement Test
and proof of Pre-Calculus and Trigonometry.*

*Acceptable for credit: University of California, California State University*

C-ID MATH 210

This is 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. It is designed primarily for Science, Technology, and Engineering and Math Majors.

### MATH 3B: Calculus and Analytical Geometry

5 units: lecture 5 units; lab 0 units

*Prerequisite: MATH 3A or qualifying score on Placement Test and proof of Calculus
I.*

*Acceptable for credit: University of California, California State University*

C-ID MATH 220

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

### MATH 4A: Intermediate Calculus

5 units: lecture 5 units; lab 0 units

*Prerequisite: MATH 3B or qualifying score on Placement Test and proof of Calculus
II*

*Acceptable for credit: University of California, California State University*

C-ID MATH 230

This course covers vector-valued functions, calculus of functions of more than one variable, partial derivatives, differentials, gradients, Lagrange Multipliers, multiple integration, line integrals, surface integrals, Green’s Theorem, Stokes’ Theorem, and the Divergence theorem.

### MATH 4B: Differential Equations

4 units: lecture 4 units; lab 0 units

*Prerequisite: MATH 003B or qualifying score on Placement Test and proof of Calculus
II.*

*Advisory: MATH 4A and Math 4C*

*Acceptable for credit: University of California, California State University*

C-ID MATH 240

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

### MATH 4C: Linear Algebra

4 units: lecture 4 units; lab 0 units

*Prerequisite: MATH 3B or qualifying score on Placement Test and proof of Calculus
II.*

*Advisory: MATH 4A*

Acceptable for credit: University of California, California State University

C-ID MATH 250

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. It 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.

### MATH 10: Elementary Statistics

4 units: lecture 4 units; lab 0 units

*Prerequisite: MATH 105 or 106 or 106R or qualifying score on Placement Test and proof
of Algebra II.*

*Acceptable for credit: University of California, California State University*

C-ID MATH 110

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. Applications discussed use data from disciplines including business, social sciences, psychology, life science, health science, and education.

### MATH 10H: Honors Elementary Statistics

4 units: lecture 4 units; lab 0 units

*Prerequisite: MATH 105 or 106 or 106R or qualifying score on Placement Test and proof
of Algebra II.*

*Acceptable for credit: University of California, California State University*

C-ID MATH 110

Honors Elementary Statistics uses the pedagogical methods common to all Honors courses: interdisciplinary, writing- intensive, collaborative, and experiential instruction. 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. Applications discussed use data from disciplines including business, social sciences, psychology, life science, health science, and education.

### MATH 12: Applied Calculus

4 units: lecture 4 units; lab 0 units

*Prerequisite: MATH 106 or MATH 106R or qualifying score on Placement Test and proof
of Algebra II*

*Acceptable for credit: University of California, California State University*

C-ID MATH 140

This course presents a study of the techniques of calculus with emphasis placed on the application of these concepts to business and management related problems as well as applications for social and life science majors. The applications of derivatives and integrals of functions including polynomials, rational, exponential and logarithmic functions are studied. This course is not equivalent to Math 3A.

### MATH 14: Math for Elementary School Teachers

3 units: lecture 3 units; lab 0 units

*Prerequisite: MATH 106 or 106R or qualifying score on Placement Test and proof of
Algebra II.*

*Acceptable for credit: California State University*

This course covers the real number system, numeration system, elementary number theory, and problem solving. Technology and hands-on experiences are integrated throughout this course. It is designed to fulfill the lower division mathematics requirement for students planning to enter a multiple subject teaching credential program.

### MATH 19: Discrete Mathematics

4 units: lecture 4 units; lab 0 units

*Prerequisite: MATH 1 or MATH 2 or qualifying score on Placement Test and proof of
Pre-Calculus.*

*Advisory: MATH 3A*

*Acceptable for credit: University of California, California State University*

C-ID MATH 160

This course covers fundamental topics for Computer Science, such as logic, proof techniques, sets, introduction to computer programming, basic counting rules, relations, functions and recursion, graphs and probability trees.

### MATH 104: Plane Geometry

4 units: lecture 4 units; lab 0 units

*Prerequisite: MATH 903 or 903R or qualifying score on Placement Test*

This course covers the basic concepts of plane geometry with an emphasis on deductive reasoning. The topics include lines, angles, polygons, circles, congruence, similarity, parallelism, perpendicularity, lengths, areas and volumes.

### MATH 104R: Geometry Review for Trigonometry

1 unit: lecture 0 units; lab 1 units

*Prerequisite: MATH 903 or MATH 903R or qualifying score on Placement Test.*

This course serves as a geometry preparation course for Math D or 2. In this course, students have the opportunity to review geometry topics needed to succeed in Trigonometry.

### MATH 105: Pre-Statistics

5 units: lecture 5 units; lab 0 units

*Advisory: MATH 903 or MATH 903R or completion of high school Algebra I or equivalent
with a C or better.*

This course presents algebraic concepts with an emphasis on data analysis and modeling. Topics include mathematical modeling using real-world data and graphs, as well as linear, exponential, and polynomial functions. This class is NOT intended for math, science, computer science, business, or engineering majors. It is intended for students who will take Math 10 and who do NOT need any other math course.

### MATH 106: Intermediate Algebra

5 units: lecture 5 units; lab 0 units

*Prerequisite: MATH 903 or 903R or qualifying score on Placement Test.*

This course reviews topics from elementary algebra and also covers functions, including logarithmic and exponential, and complex numbers.

### MATH 106P: Preparation for Intermediate Algebra

0.5 unit: lecture 0 units; lab 0.5 units

This course serves as a preparation for Math 106. In this course, students have the opportunity to develop entry-level math and study skills needed to succeed in Intermediate Algebra through classroom instruction and by using a web-based algebra system. Pass/No Pass Only

### MATH 106R: Intermediate Algebra - Review

4 units: lecture 4 units; lab 0 units

*Prerequisite: MATH 903 or 903R or qualifying score on Placement Test.*

This accelerated course reviews topics from elementary algebra and also covers functions, including logarithmic and exponential, and complex numbers. This course is designed for students who have had previous instruction in intermediate algebra.

### MATH 902P: Pre–Algebra

3 units: lecture 3 units; lab 0 units

This course is designed for students who have a solid foundation in arithmetic skills but who need to develop further skills before taking elementary algebra. This course is intended to serve as a bridge between arithmetic functions and elementary algebra. Topics include operations with signed numbers, evaluating algebraic expressions, operations with polynomials, solving and graphing linear equations, and developing problem-solving skills with an emphasis on concrete representations for abstract algebraic concepts. Pass/No Pass Option

### MATH 903: Elementary Algebra

5 units: lecture 5 units; lab 0 units

This course covers the basic operations and properties of real numbers, polynomials, radicals, rational and exponential expressions. Other topics include first-degree equations and inequalities, simultaneous systems of linear equations, quadratic equations, and graphing. The course is designed for students who have no previous instruction in algebra or who have difficulty with algebra or who need a review of elementary algebra. Pass/No Pass option

### MATH 903P: Preparation for Elementary Algebra

0.5 unit: lecture 0 units; lab 0.5 units

This course is a preparation for Math 103. In this course, students have the opportunity to develop the appropriate entry-level math and study skills needed in Elementary Algebra by using a web–based computer algebra system. Pass/No Pass Only

### MATH 903R: Elementary Algebra – Review

3 units: lecture 3 units; lab 0 units

The content of this course is identical to that of Math 903. However, this course should be taken by students who have previously completed elementary algebra, but who need a review before taking intermediate algebra. Pass/No Pass option