**MATH 1A
INTRODUCTION TO CALCULUS(5)**

*Class Hours: 5 Lecture CAN MATH 18, CAN MATH SEQ B Prerequisite: Math 15 or Equivalent*

Math 1A is an introduction to differential calculus of elementary function (including trigonometric, exponential, and logarithmic). The course covers limits, continuity, derivatives, basic integrals, the fundamental theorem, and applications. (AA, CSU, UC)

CALCULUS WITH APPLICATIONS(5)

*Class Hours: 5 Lecture CAN MATH 20, CAN MATH SEQ B Prerequisite: Math 1A or equivalent*

Math 1B is an introduction to integral calculus. The course covers techniques of integration, applications of integration, improper integrals, polar coordinates, and infinite series. (AA, CSU, UC)

**MATH 2A
MULTIVARIATE CALCULUS(4)**

*Class Hours: 4 lecture CAN MATH 22, CAN MATH SEQ C CSU General Education Requirement: B4 *

*Prerequisite: MATH 1B or equivalent.*

Mathematics 2A is concerned with three-dimensional vectors, lines and planes, vector-valued functions, partial derivatives, multiple integrals and calculus of vector fields. (AA,CSU,UC) (Please Note: This course is offered infrequently.)

**MATH 2B
DIFFERENTIAL EQUATIONS(4)**

*Class Hours: 4 Lecture CAN MATH 24, CAN MATH SEQ C CSU General Education Requirement: B4 Prerequisite: MATH 2A or equivalent.*

Mathematics 2B is the study of first-order linear differential equations and their applications in science and engineering, linear differential equations of higher order applications of second-order differential equations to vibrational models, differential equations with variable coefficients,

**MATH 10A
STRUCTURE & CONCEPTS IN MATHEMATICS I (3)**

*Class Hours: 3 Lecture CSU General Education Requirement: B4 Prerequisite: Math 63 or equivalent*

Math 10A is designed for prospective elementary school teachers. The course covers the development of real numbers including integers, rational and irrational numbers, computation, prime numbers and factorizations, and problem solving strategies. This class does not satisfy G. E. math requirements for non-Liberal Studies majors at CSUF. (AA, CSU)

STRUCTURE & CONCEPTS IN MATHEMATICS II(3)

*Class Hours: 3 Lecture Prerequisite: Math 63 or equivalent*

Math 10B is designed for prospective elementary school teachers. The course covers counting methods, elementary probability and statistics. Topics from geometry include polygons, congruence and similarity, measurement, geometric transformations, coordinate geometry, and selected applications. This class does not satisfy G. E. quantitative reasoning requirements for non-liberal studies majors at four-year institutions. (AA, CSU)

**MATH 15
PRECALCULUS(5)**

*Class Hours: 5 Lecture CAN MATH 16 CSU General Education Requirement: B4 *

*Prerequisite: MATH 63 or equivalent. *Math 15 is an intensive course covering those topics traditionally found in the separate courses of trigonometry and college algebra. This course will include in-depth analysis and application of linear, quadratic, polynomial, rational, exponential, logarithmic, trigonometric functions

and their graphs, systems of equations, and analytic geometry. (AA, CSU, UC)

**MATH 25
INTRODUCTION TO STATISTICS(3)**

*Class Hours: 3 Lecture CAN STAT 2 Prerequisite: Math 63 or equivalent (not strongly recommended).*

Math 25 is an introduction to the study of modern statistics. The topics cover frequency distributions measures of location, measures of variation, permutations, combinations, probability, mathematical expectation, continuous and discrete probability distributions, sampling and sampling distributions, inferences about means, standard deviations, proportions and regression. (AA, CSU, UC)

**MATH 30/60
MATH EXPERIMENTAL COURSES(.5-3)**

*Class Hours: 18 Lecture hours or 54 Laboratory hours for each semester unit.*

All courses numbered 30/60 are designed to permit department to meet an immediate student or community need, to explore newer methods in teaching a subject, to offer courses which are innovative, and to provide curriculum variety and flexibility. A required course description identifies each course subject. These course may be taken for CR/NC.

**MATH 45
CONTEMPORARY MATH(3)**

*Class Hours: 3 Lecture CSU General Education Requirement: B4 Prerequisite: Math 63 or equivalent.*

Math 45 is a college level liberal arts mathematics course surveying a collection of topics including Management Science, Social Choice, Statistics and Growth and Symmetry. (Satisfies CSU Fresno Gen. Ed. CORE, Quantitative Reasoning). (AA,CSU,UC)

**MATH 49/99
DIRECTED STUDY(1-2)**

*Class Hours: 54 Laboratory hours for each semester unit.** No more than 2 units per semester per 49/99 series.*

Math 49/99 is designed for student who wish to undertake special projects related to mathematics. Students, under instructor guidance and acknowledgement, may pursue individual exploration after completing or while currently enrolled in at least one course in the department of directed study. (AA,CSU)

**MATH 61
ELEMENTARY ALGEBRA(5)**

*Class Hours: 5 Lecture CR/NC. Prerequisite: Math 101 or eligibility for Math 61 determined by placement tests.*

This is the first course in a two semester sequential elementary and intermediate algebra program. Topics for elementary algebra include arithmetic review, solving linear equations and inequalities in one variable, graphing linear equations and inequalities in two variables, solving linear systems, operations with polynomials, solving equations by factoring, operations with rational expressions, and addition of radical expressions. (AA)

**MATH 63
INTERMEDIATE ALGEBRA(5)**

*Class Hours: 5 Lecture CR/NC. Prerequisite: Math 61 or equivalent.*

Math 63 is the second course in a two semester sequential elementary and intermediate algebra program. Topics for intermediate algebra include factoring, solving quadratic, rational and radical equations, inequalities, integer and rational exponents, graphing conics, functions, scientific notation, and applications. (AA)

**MATH 64
ELEMENTARY AND INTERMEDIATE ALGEBRA (5)**

*Class Hours: 5 Lecture . CR/NC Strongly Recommended Preparation:** **MATH 61 or equivalent.*

Math 64 is the intensive coverage of elementary and intermediate algebra in one semester. This course is designed for students who have had one year of high school algebra or equivalent and have a facility for learning math. This course will satisfy the intermediate algebra requirement for any transfer level math course. (AA)

**MATH 75
ADAPTIVE MATHEMATICS(.5)**

*Class Hours: 3 Laboratory *

Math 75 is designed primarily for students with learning disabilities. It covers the fundamentals of mathematics including whole numbers and the operations: addition, subtraction, multiplication and division. Mathematical concepts will be taught in the context of life skills development. May be taken as many times as needed to meet objective. (AA)

**MATH 87
MATHEMATICS FOR LIFE(3)**

*Class Hours: 3 Lecture*

Math 87 consists of a quick review of common fractions, decimals and percents; consumer applications, basic operations of algebra; simple equations; formula manipulation; and basic facts and formulas from geometry. (Students who have received credit for Math 61 will not be granted units for this course). (AA)

**MATH 101
BASIC COLLEGE MATHMATICS(.5-5)**

*Class Hours: 5 Lecture CR/NC*

Math 101 is a comprehensive course providing review of basic computational math skills and their applications. The topics for basic mathematics include whole numbers, fractions, decimals, ratios, proportions, percents, consumer application, statistics,