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# Courses

# Mathematics 030

## Coping With Math Anxiety

**Units: 1**

**Class hours: 18 Lecture**

**Prerequisite: None**

**Advisory reading level: 2**

**Covers the concept of math anxiety - what causes it and how to overcome it. Includes review and practice of basic math skills.**

# Mathematics 105

## Mathematics for Liberal Arts Students

**Units: 4**

**Class hours: 72 Lecture**

**Prerequisite: MATH 083, or MATH 084, or equivalent skills as measured by placement into Math 105 according to the Santa Ana College Math Department’s placement standards.**

**Advisory reading level: 3**

**An overview of mathematics for the liberal arts student. Topics will include problem solving, financial management, probability, statistics, and selected other topics such as set theory, geometry, logic, mathematical modeling, and the history of mathematics.**

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# Mathematics 140

## College Algebra

**Units: 4**

**Class hours: 72 Lecture**

**Prerequisite: Completion with a grade of “C” or better or a Passing grade in: Intermediate algebra or equivalent, or a qualifying profile based on multiple measures;**

**Advisory reading level: 3**

**Survey of advanced topics in algebra: equations, inequalities and functions involving polynomials, rationales, exponentials, and logarithms with applications and graphing; sequences and series; counting theory; probability.**

# Mathematics 140S

## College Algebra with Support

Units: 4.5

Class hours: 72 Lecture and 36 Lab, 108 hours total

Prerequisite: Completion with a grade of “C” or better or a Passing grade in: Intermediate algebra or equivalent, or a qualifying profile based on multiple measures;

Advisory reading level: 3

Survey of advanced topics in algebra: equations, inequalities and functions involving polynomials, rationals, exponentials, and logarithms with applications and graphing; sequences and series. Course includes just-in-time review of topics from arithmetic, Elementary Algebra, Intermediate Algebra, and/or other topics as necessary. Intended for students who did not directly place into Math 140 or for students who would like to supplement their learning with prerequisite skills needed for College Algebra.

# Mathematics 150

## Calculus for Biological, Management and Social Sciences

**Units: 5**

**Class hours: 90 Lecture**

**Prerequisite: Mathematics 140 or Mathematics 145 with a minimum grade of C; or placement into Math 150 according to the Santa Ana College Math Department’s placement standards.**

**Advisory reading level: 3**

**Single and multi-variable calculus including limits, derivatives, integrals, exponentials and logarithmic functions and partial derivatives. Applications are drawn from Biology, Social Science and Business.**

# Mathematics 162

## Trigonometry** **

**Units: 4**

**Class hours: 64 Lecture**

**Prerequisite: MATH 140 or equivalent skills as measured by placement into Math 162 according to the Santa Ana College Math Department’s placement standards.**

**Advisory reading level: 3**

**Angles and their measurement, trigonometry functions and their applications, including vector problems. Use of trigonometric identities. Graphing the basic functions and variations, solving trigonometric equations. Graphing using polar coordinates, and use of complex numbers.**

# Mathematics 180

## Analytic Geometry and Calculus** **

**Units: 4**

**Class hours: 72 Lecture**

**Prerequisite: MATH 140 and MATH 162, or MATH 170, or equivalent skills as measured by placement into Math 180 according to the Santa Ana College Math Department’s placement standards.**

**Advisory reading level: 3**

**Limits and continuity, derivatives and integrals of algebraic, trigonometric, and other transcendental functions. Applications including extrema tests, related rates and areas.**

# Mathematics 185

## Analytic Geometry and Calculus

**Units: 4**

**Class hours: 72 Lecture**

**Prerequisite: MATH 180 or MATH 180H**

**Advisory reading level: 3**

**Applications of integrals, including volumes, work, arc length, and surface area. Integration techniques, differential equations, conics, parametric equations, polar coordinates, improper integrals, sequences and infinite series.**

# Mathematics 204

## Fundamental Concepts of Elementary

**Units: 4**

**Class hours: 72 Lecture**

**Prerequisite: MATH 083, or MATH 084, or equivalent skills as measured by placement into Math 204 according to the Santa Ana College Math Department’s placement standards.**

**Advisory reading level: 3**

**Designed for prospective elementary teachers, the course emphasizes problem solving techniques and mathematical structure associated with numeration, set theory, elementary number theory, real number system, ratio, proportion, and percent. The course includes instructional delivery design and activity-based explorations.**

# Mathematics 219

## Statistics and Probability** **

**Units: 4**

**Class hours: 72 Lecture.**

**Prerequisite: MATH 083, or MATH 084, or equivalent skills as measured by placement into Math 219 according to the Santa Ana College Math Department’s placement standards.**

**Advisory reading level: 3**

**Beginning course in statistics. Includes descriptive statistics, graphical displays of data, probability, confidence intervals, hypothesis testing, regression, contingency tables, ANOVA, and non-parametric statistics. Includes use of technology.**

# Mathematics 219H

## Honors Statistics and Probability** **

**Units: 4**

**Class hours: 72 Lecture**

**Prerequisite: High school or college GPA of 3.0 or higher and MATH 083, or MATH 084, or equivalent skills as measured by placement into Math 219 according to the Santa Ana College Math Department’s placement standards.**

**Advisory reading level: 3**

**Enhanced format for the beginning course in statistics and probability, using a seminar approach, computers, individual research, and presentations. Includes descriptive statistics, graphical displays of data, probability, confidence intervals, hypothesis testing, regression, contingency tables, ANOVA, and non-parametric statistics, with applications designed around the individual interests of students.**

# Mathematics 219S

## Statistics and Probability with Support

Units: 4.5

Class hours: 72 Lecture and 36 Lab, 108 hours total.

Prerequisite: Math 083, or Math 084, or equivalent skills as measured by placement into Math 219S according to the Santa Ana College Math Department’s placement standards.

Advisory reading level: 3

Beginning course in statistics. Includes descriptive statistics, graphical displays of data, probability, confidence intervals, hypothesis testing, regression, contingency tables, ANOVA, and non-parametric statistics. Includes use of technology. Integrated review includes concepts from arithmetic, pre-algebra, elementary and intermediate algebra, and critical thinking skills from descriptive statistics that are needed to understand the basics of college-level statistics. Intended for students who did not directly place into Math 219 or for students that would like to supplement their learning with prerequisite skills needed for Statistics.

# Mathematics 280

## Intermediate Calculus

**Units: 4**

**Class hours: 72 Lecture**

**Prerequisite: MATH 185**

**Advisory reading level: 4**

**Vectors and three-dimensional space, functions of several variables, partial derivatives and multiple integrals. Vector calculus, Green’s Theorem, Stoke’s Theorem and the Divergence Theorem.**

# Mathematics 287

## Introduction to Linear Algebra and Differential Equations

**Units: 5**

**Class hours: 90 Lecture total.**

**Prerequisite: MATH 280**

**Advisory reading level: 4**

**Topics include matrices, determinants, vector spaces, linear systems of equations, linear product spaces, first and second order differential equations, systems of differential equations, and the Laplace transform.**