Course Descriptions

Course Sequence Flowchart by Major:

Click here to view flowcharts illustrating the sequence of math courses students should take to fulfill the math requirement for an associates degree or to transfer.


Courses


MATH 004 F Basic Mathematics I (2)

Pass/No Pass only. Two hours lecture and one-half hour arranged per week. This course is an intensive review of the fundamentals of arithmetic. The course includes: arithmetic operations with whole numbers and fractions, rounding and estimation, and applied problems. Calculators will not be permitted.


MATH 006 F Basic Mathematics II (2)

Prerequisite: MATH 004 F Basic Mathematics with a grade of C or better

Pass/No Pass only. Two hours lecture and one-half hour arranged per week. This course is an intensive review of the fundamentals of arithmetic. The course includes: arithmetic operations and applied problems with decimals, rounding, estimation, ratios, problem solving with proportions, percent and applications, the arithmetic of denominate numbers, introduction to the metric system, and measurement geometry. Calculators will be required for selected topics

MATH 007 F Essentials of Basic Mathematics (3)

Pass/No Pass only. 54 hours lecture per term. This course is an intensive review of the fundamentals of arithmetic. The course includes arithmetic operations with whole numbers, fractions, decimals, and percent, estimation, and solving applied problems.

MATH 010 F Basic Mathematics (4)

Four hours lecture per week. This course is an intensive review of the fundamentals of arithmetic. The course includes: operations of arithmetic with whole numbers, fractions, decimals; percent; estimation; equations and applied problems; introduction to the metric system; and the arithmetic of denominate numbers. Calculators will be required for selected topics. (Non-degree credit).

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MATH 015 F Pre-Algebra (4)

Four hours lecture per week. This course includes: operations on integers, fractions, mixed numbers and decimals, ratio, proportion and percentages, working with variable expressions; interpretation of statistical graphs; measurement and geometry; and an introduction to polynomials and graphing. Calculators will be required for selected topics. (Non-degree credit.)


MATH 020 F Elementary Algebra (4)

Advisory: MATH 015 F Pre-Algebra with a grade of C or better or math skills clearance.

Four hours lecture per week. This course includes the properties of real numbers, factoring, exponents and radicals, solving and graphing linear equations, polynomials and rational algebraic expressions and linear systems of equations. Calculators will be required for selected topics. (Non-degree credit)

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MATH 030 F Plane Geometry (4)

Prerequisite: MATH 020 F Elementary Algebra with a grade of C or better or math skills clearance.

Four hours lecture per week. This course is an introduction to Euclidean geometry. It includes theorems and proofs, sets, congruent and similar polygons, circles, geometric constructions, areas, volumes, geometric loci, elementary logic, and deductive reasoning. Calculators may be required for selected topics. (Degree Credit)


MATH 040 F Intermediate Algebra (4)

Prerequisite: Math 020 F Elementary Algebra with a grade of C or better or math skills clearance.

Four hours of lecture per week. This course includes products and factoring, exponents and radicals, fractions, functions and graphs, linear and quadratic equations, linear inequalities, logarithms, and related topics at an intermediate level. Calculators will be used for selected topics. (Degree credit) AA GE

MATH 041 F Combined Elementary and Intermediate Algebra (6)

Advisory: MATH 015 F or any previous algebra course with a grade of C or better.

108 hours lecture per term. This course is designed for students who would like to complete elementary and intermediate algebra in one semester. It covers factoring, exponents, linear, quadratic, rational, and absolute value equations and inequalities, radical equations, operations with polynomials, radical and rational expressions, systems of equations and inequalities, linear, quadratic, exponential, and logarithmic functions and their graphs, complex numbers, and conic sections. Students who have completed MATH 020 F are allowed to take MATH 040 F, MATH 043 F, or MATH 041 F. (Degree Credit) AA GE

MATH 043 F Intermediate Algebra for Statistics and Liberal Arts (4)

Prerequisite: Math 020 F Elementary Algebra with a grade of C or better or math skills clearance.

Four hours of lecture per week. This intermediate algebra course is appropriate for students preparing to take MATH 100 F, MATH 120 F, MATH 120HF or SOSC 120 F. This course emphasizes applications, mathematical modeling of data and interpretation of results. The course includes linear, quadratic, rational, exponential and logarithmic functions and their graphs, solving equations involving these functions, solving linear inequalities, and solving systems of linear equations at an intermediate level. Graphing calculators will be required for selected topics. MATH 043 F does NOT meet the prerequisite for MATH 129 F, MATH 141 F, MATH 141HF or MATH 142 F. (Degree Credit) AA GE

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MATH 100 F Liberal Arts Mathematics (3)

Prerequisite: MATH 040 F Intermediate Algebra with a grade of Cor better or math skills clearance.

Three hours lecture per week. This is a survey course with selected topics from the history and development of mathematics, patterns and inductive reasoning, set theory and deductive reasoning, the real number system, algebra, geometry, probability, statistics, and problem solving. It is designed for students majoring in liberal arts, education or communication. Calculators or computers may be used for selected topics.

(CSU)(UC) (Degree Credit) AA GE, CSU GE, IGETC

MATH 120 F Introductory Probability and Statistics (4)

Prerequisite: MATH 040 F Intermediate Algebra with a grade of C or better or math skills clearance.

Four hours lecture per week. This course covers descriptive statistics, elementary probability theory and inferential statistics. Topics covered include: summarizing data in tables and graphs, computation of descriptive statistics, sample spaces, classical probability theory, rules of probability, probability distributions, confidence intervals for population parameters, hypothesis testing, correlation and regression and Chi-Square Distribution with applications. Scientific and/or Graphing Calculators will be used extensively throughout the course. Computers, utilizing MINITAB will be used for various topics. Students who receive credit for Math 120 F may not receive credit for Social Science 120 F.

(CSU)(UC Credit Limitation: MATH 120 F or MATH 120HF and PSY 161 F combined, maximum one course)(Degree Credit) AA GE, CSU GE, IGETC

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MATH 120HF Honors Introductory Probability and Statistics (4)

Prerequisite: MATH 040 F Intermediate Algebra with a grade of C or better or math skills clearance.

Four hours lecture per week. An enriched approach designed for honors students. This course covers descriptive statistics, elementary probability theory and inferential statistics. Topics covered include: summarizing data in tables and graphs, computation of descriptive statistics, sample spaces, classical probability theory, rules of probability, probability distributions, confidence intervals for population parameters, hypothesis testing, correlation and regression and Chi-Square Distribution with applications. Scientific and/or Graphing Calculators will be used extensively throughout the course. Computers, utilizing MINITAB will be used for various topics. Students who receive credit for Math 120HF may not receive credit for SOSC 120 F.

(CSU) (UC Credit Limitation: MATH 120 F or MATH 120HF and PSY 161 F combined, maximum one course.)(Degree Credit) AA GE, CSU GE, IGETC

MATH 129 F College Algebra for Business Calculus (4)

Prerequisite: Math 40 Intermediate Algebra with a grade of C or better or math skills clearance.

Four hours lecture per week. This course includes a review of basic topics from intermediate algebra, equations and inequalities, functions and graphing including exponential and logarithmic functions, building mathematical models in business and economics, systems of equations and matrices, financial applications of sequences and series, and an introduction to spreadsheets and/or graphing software. The course is designed for students planning to enroll in MATH 130 F Business Calculus. A scientific calculator will be required; a graphing calculator may be required. (This course does not meet requirements in the Business Division and will not substitute for BUS 151 F Business Mathematics. See Business and Computer Information Systems Division for Business requirements)

(CSU) (UC Credit Limitation) (Degree Credit) AA GE, CSU GE

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MATH 130 F Calculus for Business (4)

Prerequisite: Math 129 F College Algebra for Business Calculus with a grade of “C” or better or math skills clearance.

Four hours lecture per week. This is an introductory study that includes fundamentals of analytic geometry and calculus; differential calculus, integral calculus, and selected applications of calculus; functions and managerial planning and their use in economics and business. The course also includes an introduction to linear algebra. A scientific calculator will be required; a graphing calculator may be required. Computer applications may be included.

(UC credit Limitation; MATH 130 F combined with MATH 150AF; maximum credit, one course) (CSU) (Degree Credit) AA GE, CSU GE, IGETC


MATH 141 F College Algebra (4)

Prerequisite: MATH 040 F Intermediate Algebra and MATH 030 F Plane Geometry with grades C or better or math skills clearance. This course may be taken prior to or concurrently with MATH 142 F Trigonometry. Both MATH 141 F and MATH 142 F are required for enrollment in MATH 150AF Calculus I.

Four hours lecture and one hour arranged per week. This is a one-semester course designed to prepare students for the study of calculus. The topics to be covered include review of the fundamentals of algebra, relations, functions, solutions of first-and second- degree equations and inequalities, systems of equations, matrices and determinants, binomial theorem, mathematical induction, polynomial functions, exponential and logarithmic functions, analytic geometry and conic sections, geometric and arithmetic sequences and series, and miscellaneous topics. Graphing calculators will be incorporated.

(CSU) (UC Credit Limitation; MATH 141 F and MATH 129 F; maximum combined credit, one course) (Degree credit) AA GE, CSU GE, IGETC

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MATH 142 F Trigonometry (4)

Prerequisite: MATH 040 F Intermediate Algebra and MATH 030 F Plane Geometry with grades of C or better or math skills clearance. This course may be taken prior to or concurrently with MATH 141 F College Algebra. Both MATH 141 F and MATH 142 F are required for enrollment in MATH 150AF Calculus I.

Four hours lecture and one hour arranged per week. This is a one-semester course in trigonometry designed to prepare students for the study of calculus. The topics to be covered include the following: algebraic skills, measurements of angles, trigonometric functions and inverse trigonometric functions, trigonometric equations and identities, graphing of trigonometric functions, solutions of triangles, applications, complex numbers, polar coordinates, DeMoivre’s Theorem. Calculators will be used for selected topics.

(CSU) (Degree credit) AA GE, CSU GE


MATH 150AF Calculus I (4)

Prerequisite : MATH 14 1 F College Algebra and MATH 142 F Trigonometry with a grade of “C” or better or math skills clearance

Four hours lecture per week. This is a beginning calculus course covering limits and continuity, differentiation of algebraic, transcendental and inverse functions, applications of differentiation, antiderivatives and indefinite integrals, and the definite integral. Graphing calculators will be used for selected topics.

(CSU)(UC Credit Limitation; Math 150AF combined with MATH 130 F and MATH 160 F; maximum credit, one course)(Degree credit) AA GE, CSU GE, IGETC

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MATH 150BF Calculus II (4)

Prerequisite: MATH 150AF Calculus I with a grade of “C” or better.

Four hours lecture per week. This is a second semester course covering differential equations, applications of integration, integration techniques, L'Hopital's Rule, improper integrals, sequences and series, conics, parametric equations, and polar coordinates. Graphing calculators will be used for selected topics.

(CSU) (UC) (Degree Credit) AA GE, CSU GE, IGETC


MATH 170 F Discrete Structures (4)

Prerequisite: MATH 141 F College Algebra and MATH 142 F Trigonometry, both with a grade of C or better or math skills clearance.

Advisory: Math 150A F Calculus I

Four hours lecture per week. 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.

(CSU) (UC) (Degree Credit) AA GE, CSU GE

MATH 171 F Discrete Mathematics (4)

Prerequisite: MATH 141 F College Algebra and MATH 142 F Trigonometry, both with a grade of C or better or math skills clearance.

Four hours lecture per week. This is the first of two semesters of fundamental discrete mathematical concepts needed in computer related disciplines. The topics covered include logic, truth tables, Boolean algebra, logic circuits, elementary set theory, functions, relations, proof techniques, combinatorics, elementary probability, and recurrence relations.

(CSU) (UC) (Degree Credit) AA GE, CSU GE, IGETC

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MATH 172 F Graph Theory and Linear Algebra (4)

Prerequisite: Math 171 F Discrete Mathematics with a grade of C or better.

Four hours lecture per week. This is the second of two semesters of fundamental discrete mathematical concepts and techniques needed in computer related disciplines. Topics include the theory of graphs, trees, finite state machines, and linear algebra including matrix operations, eigenvalues, vector spaces, linear transformations, and inner product spaces.

(CSU) (UC) (Degree credit) AA GE, IGETC


MATH 203 Mathematics for Future Elementary Teachers (3)

Prerequisite: MATH 100 F and MATH 030 F with a graph of C or better.

Three hours lecture per week. This course is designed for prospective elementary teachers. Topics covered include: problem-solving techniques, whole numbers and numeration, set theory, elementary number theory, integers, rational numbers, ratios, proportions, decimals, and percents. The course includes instruction delivery design and activity-based explorations.

(CSU) AA GE

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MATH 250AF Multivariable Calculus (4)

Prerequisite: MATH 150BF Calculus II with a grade of C or better.

Four hours lecture per week. This is a third semester course in calculus covering conic sections, solid analytic geometry, vectors in three dimensions, vector calculus, differential calculus of functions of several variables, multiple integration, vector fields and theorems. Hand calculators will be used for selected topics.

(CSU) (UC) (Degree credit) AA GE, CSU GE, IGETC


MATH 250BF Linear Algebra and Differential Equations (4)

Prerequisite: MATH 250AF Intermediate Calculus with a grade of C or better.

Four hours lecture per week. This is a fourth semester course in calculus covering matrices, determinants, vector spaces, ordinary differential equations of the first order, linear differential equations, power series solutions, and Laplace transformations. Hand calculators will be used for selected topics.

(CSU) (UC) (Degree Credit) AA GE, CSU GE, IGETC

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MATH 250CF Additional Topics in Linear Algebra (2)

Corequisite: MATH 250BF Linear Algebra and Differential Equations taken concurrently or completed with a grade of C or better.

Two hours lecture per week. This course completes the introduction to Linear Algebra begun in MATH 250BF. Topics covered include linear transformations and their properties, the Dimension-sum theorem, matrices of linear transformations, inner product spaces and their properties, orthogonality, the Gram-Schmidt process, diagonalizability of symmetric matrices, and simplifying quadratic forms.

(CSU) (UC) (Degree credit) AA GE


MATH 255F Linear Algebra (4)

Prerequisite: MATH 150BF Calculus II with a grade of C or better.

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. Properties of vectors in two and three dimensions are investigated, 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.

(CSU) (UC) (Degree Credit) AA GE, CSU GE

MATH 260F Ordinary Differential Equations (4)

Prerequisite: MATH 150BF Calculus II with a grade of C or better.

Advisory: MATH 250AF Multivariable Calculus

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

(CSU) (UC) (Degree Credit) AA GE, CSU GE

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MATH 290 F Pure Mathematics Seminar (0.5 to 4)

Prerequisite: MATH 040 F Intermediate Algebra with a grade of C or better

9-72 hours lecture per term and 0-162 hours lab per term. Lecture and lab hours will vary according to the nature of the pure mathematics seminar(s) offered. This course is structured in order to engage students in dynamical mathematical subjects, including cutting-edge unsolved problems in pure/theoretical mathematics such as real analysis, complex analysis, geometry, topology, number theory, logic, experimental mathematics, as well as mathematical typesetting and document preparation, advanced topics, careers in mathematical science, mathematical writing and speaking, math conferences, math competitions, and math service learning. MATH 290 F and MATH 290HF differ from other Mathematics Seminars in that the topics are exclusively devoted to theoretical mathematics and proofs in it. Seminar courses in mathematics can be taken in any order.

(CSU) (UC Review required) (Degree Credit)


MATH 291 F Applied Mathematics Seminar (0.5 to 4)

Prerequisite: MATH 040 F Intermediate Algebra with a grade of C or better

9-72 hours lecture and 0-162 hours lab per term. Lecture and lab hours will vary according to the nature of the Applied Mathematics Seminar(s) offered. Historically, covered topics are new each time the course is offered and taught topics are never repeated, to ensure currency. This course is structured in order to engage students in applied mathematics topics such as numerical analysis, dynamical systems, cosmology, finance, mathematical biology, inverse problems, as well as mathematical typesetting and document preparation, advanced topics, careers in mathematical science, mathematical writing and speaking, math conferences, math competitions, and math service learning. Seminar courses in mathematics can be taken in any order.

(CSU) (UC Review required) (Degree Credit)


MATH 295 F Mathematics Seminar (0.5 to 4)

Prereq: MATH 040 F with a grade of C or better

This course offers students the opportunity to study special topics in mathematics that are not addressed in regular courses at the community college level. Seminar courses in mathematics can be taken in any order.

MATH 299 F Mathematics Independent Study (1-1-1-1)

One to three hours lecture or scheduled conferences per week or equivalent. This course is for able students who wish to increase their knowledge of pure and/or applied mathematics through individual study and small group conferences. Elective credit in Mathematics. Course may be taken four times for credit.

(CSU) (UC review required) (Degree credit)

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