Academic Catalogs

Mathematics (MATH, STAT)

MATH G160 and MATH G160S have adopted a California Community College Common Course Number (CCN) of STAT C1000 (Introduction to Statistics) and STAT C1000E (Introduction to Statistics).

STAT G1604 Units (72 lecture hours)  
Introduction to Statistics  
Prerequisite(s): Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra.
Grading Mode: Standard Letter
Formerly: MATH G160. This course is an introduction to statistical thinking and processes, including methods and concepts for discovery and decision-making using data. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-squared, and t-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings. Students apply methods and processes to applications using data from a broad range of disciplines. Enrollment Limitation: STAT C1000E/ECON G160/PSYC G140/SOC G125; students who complete STAT C1000 may not enroll in or receive credit for STAT C1000E, ECON G160, PSYC G140, or SOC G125. Common Course Number: STAT C1000. C-ID: MATH 110.

Catalog Program Pages Referencing STAT G160

STAT G160S6 Units (108 lecture hours)  
Introduction to Statistics  
Prerequisite(s): Placement as determined by the college’s multiple measures assessment process or completion of a course taught at or above the level of intermediate algebra.
Grading Mode: Standard Letter
Formerly: MATH G160S. This course is an introduction to statistical thinking and processes, including methods and concepts for discovery and decision-making using data. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-squared, and t-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings. Students apply methods and processes to applications using data from a broad range of disciplines. This course has embedded support. Enrollment Limitation: STAT C1000/ECON G160/PSYC G140/SOC G125; students who complete STAT C1000E may not enroll in or receive credit for STAT C1000, ECON G160, PSYC G140, or SOC G125. Common Course Number: STAT C1000E. C-ID: MATH 110.

Catalog Program Pages Referencing STAT G160S

MATH G0304 Units (72 lecture hours)  
Intermediate Algebra  
Grading Mode: Standard Letter
Not Transferable.
This course is equivalent to the second year of high school algebra. Topics include absolute value, rational exponents, radicals, linear equations and inequalities, quadratic equations, inequalities, functional notation, linear and quadratic functions, conic sections, logarithms, exponential and logarithmic functions, linear systems in two and three variables, sequences, and series. A scientific calculator will be required. Graded.

Catalog Program Pages Referencing MATH G030

MATH G0804 Units (72 lecture hours)  
Pre-Statistics  
Grading Mode: Standard Letter
Not Transferable.
This course covers requisite topics from Intermediate Algebra including evaluating algebraic expressions with exponents, square roots, fractions, absolute values, presents, scientific notation, working with algebraic formulas, linear equations, graphing, linear regression analysis, descriptive statistics, probability, sampling distributions including the Binomial and Normal distribution, and the use of calculators and/or statistical websites. Graded.

Catalog Program Pages Referencing MATH G080

MATH G1003 Units (54 lecture hours)  
Liberal Arts Mathematics  
Prerequisite(s): Course taught at the level of intermediate algebra or appropriate math placement.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC.
This course expands upon a student's current algebraic skill set offering liberal arts students an applications-oriented, problem-solving exploration into a variety of mathematical fields including geometry, statistics, algebra, and business mathematics. The course is designed not only to meet college general education requirements but to help generate a positive attitude toward, and an interest in, mathematics. Graded.

Catalog Program Pages Referencing MATH G100

MATH G1033 Units (54 lecture hours)  
Statistics For Elementary Teachers  
Prerequisite(s): Course taught at the level of intermediate algebra or appropriate math placement.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC: Credit Limitation: BIOL G260, ECON G160, MATH G103, MATH G160 and PSYC G140 combined: maximum credit, 1 course.
Formerly: Elem. Teachers Math: 3-Probability and Statistics. This course is an activity-based exploration of statistics aligned with the California State Mathematics Standards designed for prospective K-12 teachers. Topics include data representation and analysis, randomization and sampling, measures of central tendency and variability, hypothesizing, and statistical inference. UC credit limitations: MATH G103, MATH G160, BIOL G260 and PSYC G140 combined: maximum credit, 1 course. Graded.

Catalog Program Pages Referencing MATH G103

MATH G1043 Units (54 lecture hours)  
Mathematics For Elementary Teachers  
Prerequisite(s): Course taught at the level of intermediate algebra or appropriate math placement.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC.
Formerly: Mathematics for Elementary Teachers 1. This course is designed for the prospective elementary school teacher. Topics include problem-solving, structure and arithmetic of the real numbers and other numerical systems, set theory, and manipulatives. This course is designed to develop and reinforce conceptual understanding of the national and state curriculum standards for elementary school mathematics, including the common core. Graded.

Catalog Program Pages Referencing MATH G104

MATH G1154 Units (72 lecture hours)  
College Algebra  
Prerequisite(s): Course taught at the level of intermediate algebra or appropriate math placement.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC: Credit Limitation: MATH G115 and MATH G170 combined: maximum credit, 5 semester/7.5 quarter units.
This course is designed for students planning to enroll in MATH G140 or MATH G180. Topics include matrices and determinants, theory of equations and systems, graphing equations and functions, logarithmic and exponential functions and their graphs, polynomial and rational functions, conics sections, sequences and series, counting, and probability. A scientific calculator is recommended. Enrollment Limitation: MATH G115S; students who complete MATH G115 may not enroll in or receive credit for MATH G115S. Graded.

Catalog Program Pages Referencing MATH G115

MATH G115S6 Units (108 lecture hours)  
College Algebra with Support  
Prerequisite(s): Course taught at the level of intermediate algebra or appropriate math placement.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC.
This course is designed for students planning to enroll in MATH G140 or MATH G180. Topics include matrices and determinants, theory of equations and systems, graphing equations and functions, logarithmic and exponential functions and their graphs, polynomial and rational functions, conics sections, sequences and series, counting, and probability. In addition to this college algebra content, the course offers additional supplement instruction in basic algebra skills and concepts needed for college algebra. A scientific calculator is recommended. Enrollment Limitation: MATH G115; students who complete MATH G115S may not enroll in or receive credit for MATH G115. Graded.

Catalog Program Pages Referencing MATH G115S

MATH G1203 Units (54 lecture hours)  
Trigonometry  
Prerequisite(s): Course taught at the level of intermediate algebra or appropriate math placement.
Grading Mode: Standard Letter
Transfer Credit: CSU.
This course is a study of the circular and trigonometric functions. The topics include inverses, graphs, solutions of triangles, conditional equations, identities, vectors, complex numbers, polar coordinates, parametric equations, and applications of these concepts. A scientific calculator is recommended. Graded.

Catalog Program Pages Referencing MATH G120

MATH G1404 Units (72 lecture hours)  
Business Calculus  
Prerequisite(s): Course taught at the level of intermediate algebra or appropriate math placement.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC: Credit Limitation: MATH G140 and MATH G180 combined: maximum credit, 1 course.
This course is designed for students of business, management, and social science who need only one semester of calculus covering a variety of topics spanned over three semesters of calculus. Topics include functions, limits and continuity, differentiation, integration, graphing, and the calculus of two variables and applications of the derivative and integral. This course does not prepare a student to enter MATH G180 or MATH G185. Enrollment Limitation: MATH G140S; students who complete MATH G140 may not enroll in or receive credit for MATH G140S. Graded. C-ID: MATH 140.

Catalog Program Pages Referencing MATH G140

MATH G140S6 Units (108 lecture hours)  
Business Calculus with Support  
Prerequisite(s): Course taught at the level of intermediate algebra or appropriate math placement.
Grading Mode: Standard Letter
Transfer Credit: CSU.
This course is designed for students of business, management, and social science who need only one semester of calculus covering a variety of topics spanned over three semesters of calculus. Topics include functions, limits and continuity, differentiation, integration, graphing, and the calculus of two variables and applications of the derivative and integral. In addition, supplemental instruction will be provided in basic algebraic and trigonometric skills and concepts needed for success in Business Calculus. This course does not prepare a student to enter MATH G180 or MATH G185. Enrollment Limitation: MATH G140; students who complete MATH G140S may not enroll in or receive credit for MATH G140. Graded or Pass/No Pass option.

Catalog Program Pages Referencing MATH G140S

MATH G1704 Units (72 lecture hours)  
Precalculus  
Prerequisite(s): MATH G120 or appropriate Math Placement.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC: Credit Limitation: MATH G115 and MATH G170 combined: maximum credit, five semester/seven and a half quarter units.
This course will cover topics required for studying calculus. Particular emphasis will be placed on the analysis of polynomial, rational, exponential, logarithmic, trigonometric and inverse functions. Other topics include analytic geometry, linear systems, elementary theory of equations, polar coordinates, and complex numbers. This course is essential for those students planning to study MATH G180 (Calculus 1). Graded.

Catalog Program Pages Referencing MATH G170

MATH G1804 Units (72 lecture hours)  
Calculus 1  
Prerequisite(s): MATH G170, or MATH G115 and MATH G120, or appropriate Math Placement.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC: Credit Limitation: MATH G140 and MATH G180 combined: maximum credit, 1 course.
This course is the first course in a three-course sequence designed for mathematics, science, and engineering majors. Topics include differential and integral calculus of a single variable: functions; limits and continuity; techniques and applications of differentiation and integration; Fundamental Theorem of Calculus. (The student should plan to complete the first three semesters of calculus at Golden West College to maintain continuity.) Graded. C-ID: MATH 210, MATH 211, MATH 900S.

Catalog Program Pages Referencing MATH G180

MATH G1854 Units (72 lecture hours)  
Calculus 2  
Prerequisite(s): MATH G180.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC.
This course is the second course in a three-course sequence designed for mathematics, science, and engineering majors. The topics covered in this course include methods of integration, applications of the definite integral, polar and parametric functions, improper integrals, convergence and divergence of sequences and series including power series, and conic sections. (The student should plan to complete the first three semesters of calculus at Golden West College to maintain continuity). Graded. C-ID: MATH 221, MATH 900S.

Catalog Program Pages Referencing MATH G185

MATH G2354 Units (72 lecture hours)  
Applied Linear Algebra  
Prerequisite(s): MATH G185.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC.
Formerly: MATH G290. 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. 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. Graded. C-ID: MATH 250.

Catalog Program Pages Referencing MATH G235

MATH G2804 Units (72 lecture hours)  
Calculus 3  
Prerequisite(s): MATH G185.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC.
This course is the third in a three-course sequence, designed for mathematics, science, and engineering majors. Topics include vectors in three-dimensional space, curves, and surfaces, functions of several variables, partial differentiation, the gradient, the curl, the divergence, multiple integration, Green's Theorem, Gauss' (Divergence) Theorem, and Stokes' Theorem. The student should plan to complete the first three semesters of calculus at Golden West College to maintain continuity. Graded. C-ID: MATH 230.

Catalog Program Pages Referencing MATH G280

MATH G2855 Units (90 lecture hours)  
Introduction to Linear Algebra and Differential Equations  
Prerequisite(s): MATH G185.
Grading Mode: Standard Letter
Transfer Credit: CSU; UC.
Formerly: Ordinary Differential Equations. This course is designed to introduce students to the fields of Linear Algebra and Differential Equations. Topics 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 non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices. Graded. C-ID: MATH 910S, MATH 240.

Catalog Program Pages Referencing MATH G285

MATH G2874 Units (72 lecture hours)  
Introduction to Abstract Mathematics  
Prerequisite(s): MATH G185.
Grading Mode: Standard Letter, Pass/No Pass
Transfer Credit: CSU.
This course is an introduction to proof writing and mathematical reasoning. Topics include propositional logic, concepts and methods of mathematical proofs, mathematical induction, functions, number theory, relations and partitions, and set theory. The course will provide students with the foundational knowledge necessary to initiate a bachelor's degree in mathematics. Graded or Pass/No Pass option.

Catalog Program Pages Referencing MATH G287