## Mathematics Courses

### COURSE DESCRIPTION

4 Units

Lecture: 72 hours

Prerequisite: MATH 75 or MATH 80 or

MATH 80B with a grade of "C" or higher or "Pass" or appropriate placement based on
AB 705 mandates.

This course is a nontechnical course surveying a variety of concepts in mathematics.
Topics may include: mathematical modeling, proportional reasoning, probability, elementary
statistics, finance, geometry, elementary combinatorics, pattern recognition, elementary
logic, set theory, history of mathematics, mathematics of the arts, and voting theory.

3 Units + (1 unit Lab) (Degree Applicable)

Lecture: 54 hours

Lab: 18 hours

Prerequisite: Math 80 or Math 80B or appropriate placement and Math 70

This course will emphasize activities-based explorations of randomization, data representation, measures of central tendency, and dispersion. Coursework includes counting, basic probability, and analysis of experiments requiring hypothesizing, experimental design, and data gathering. Algebraic thinking will be used throughout the course.

3 Units + (1 unit Lab) (Degree Applicable)

Lecture: 54 hours

Lab: 18 hours

Prerequisite: Math 80 or Math 80B or appropriate placement and Math 70

Designed for prospective elementary and middle school teachers, this course is an introduction to problem-solving processes and strategies. Topics will include the development and analysis of the structure of and operations on the real number system. The course will include investigations on concept and process development using appropriate models, technology, manipulatives, and activities. It meets elementary education credential requirements.

3 Units + (1 unit Lab) (Degree Applicable)

Lecture: 54 hours

Lab: 18 hours

Prerequisite: Math 110A

This course is a continuation of MATH110A. Emphasis will be on problem solving with a focus on making tables and patterning, informal geometry, congruence similarity, constructions, transformations, tessellations, and measurement involving both English and metric units in one, two, and three dimensions. Computer explorations will be integrated into the course. The course will also emphasize hands-on modeling of real-world geometric situations. It meets elementary education credential requirements.

4 Units (Degree Applicable)

Lecture: 72 hours

Prerequisite: Math 80 or Math 80B or Math 75 or appropriate placement

This course provides an introduction to descriptive and inferential statistics, with built-in just-in-time remediation to promote student success. Topics include: mean, standard deviation, variance, probability, random variables, binomial probability distribution, normal probability distribution, the central limit theorem, hypothesis testing, confidence intervals, t-distribution, chi-square distribution, F-distribution, linear regression, and linear correlation. This course is a beginning statistics course designed for all majors. Not open to students currently enrolled in or with credit in MATH 112 or PSYC 210. Statistical software and a calculator are required.

4.5 Units (Degree Applicable)

Lecture: 72 hours

Lab: 36 hours

Prerequisite: Math 80 or Math 80B or Math 75 or appropriate placement

This course provides an introduction to descriptive and inferential statistics. Topics included are mean, standard deviation, variance, probability, random variables, binomial probability distribution, normal probability distribution, the central limit theorem, hypothesis testing, confidence intervals, t-distribution, chi-square distribution, F-distribution, linear regression, and linear correlation. This course is a beginning statistics course designed for all majors. A graphing calculator is required.

4 Units (Degree Applicable)

Lecture: 72 hours

Prerequisite: Math 80 or Math 80B or appropriate placement

This course is designed for students majoring in life or social sciences. The main topics to be covered include linear and quadratic equations and inequalities;polynomial, rational, exponential, and logarithmic functions and their graphs;systems of linear equations, matrices, sequences and series; combinatorics; and the binomial theorem.

4 Units (Degree Applicable)

Lecture: 72 hours

Prerequisite: Math 114 or appropriate placement

This course is a survey of calculus designed to meet lower-division university and four-year college requirements for the management, biology,or social-science major student. Topics included are differentiation and integration of algebraic, logarithmic,and exponential functions of single and multivariables, related rates, areas, and curve sketching. The classis not equivalent to Math 170 and does not meet the prerequisite for Math 190.This course is not open to students with credit in Math 170.

3 Units (Degree Applicable)

Lecture: 54 hours

Prerequisite: Math 80 or appropriate placement and Math 70

This course includes circular functions, inverses, graphs, angles and trigonometric functions, solutions of right and oblique triangles, identities, solutions of equations and complex numbers.

5 Units (Degree Applicable)

Lecture: 90 hours

Prerequisite: Math 140 or appropriate placement

This course is designed to prepare students for calculus. It includes an analysis of linear, absolute value, quadratic, polynomial, rational, radical, exponential, logarithmic, and trigonometric functions and their inverses. Additional topics included are the complex number system, systems of equations and inequalities, conics, sequences, series, the binomial theorem, and mathematical induction. A non-symbolic graphing calculator is required. (Formerly Math 150)

4 Units (Degree Applicable)

Lecture: 72 hours

Prerequisite: Math 155 or Math 150 or appropriate placement

This course is the first semester of calculus, designed to meet lower-division university and four-year college requirements. Topics included are differentiation and integration of algebraic and trigonometric functions with applications. Analytic geometry is presented as needed to address problems encountered in developing the principles of calculus.

4 Units (Degree Applicable)

Lecture: 72 hours

Prerequisite: Math 170

This course is a continuation of MATH 170. Topics include analytic geometry of the plane, differentiation and integration of trigonometric, logarithmic, and exponential functions, techniques of integration with applications, sequences, series, and improper integrals.

5 Units (Degree Applicable)

Lecture: 90 hours

Prerequisite: Math 190

This is the third course in a three-course sequence designed for science, technology, engineering, and mathematics (STEM) majors. Topics include vectors in three-dimensional space, curves and surfaces, functions of several variables, partial differentiation, gradients, curl, divergence, multiple integration, Green’s theorem, the divergence theorem,and Stokes’ theorem. A non-symbolic graphing calculator is required. (Formerly Math 220)

5 Units (Degree Applicable)

Lecture: 90 hours

Prerequisite: Math 190

Topics in this course include first-order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli,and exact with applications and numerical methods; solutions to higher-order differential equations using undetermined coefficients, variation of parameters, and power series, with applications; solutions to linear and nonlinear systems of differential equations, including numerical solutions; matrix algebra, solutions of linear systems of equations, and determinants; vector spaces, including the Gram–Schmidt procedure; and linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization,and symmetric matrices.

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