# Math Department Courses

**MATHEMATICS G005 - 3 Units
Basic Mathematics**

This course introduces the fundamental operations of arithmetic on whole numbers, fractions and decimals. Applications in percentage, ratio, proportion, and measurement will be introduced throughout the course. (Not applicable to the A.A. degree) Lecture & lab. Optional pass/no pass grade. Not transferable, not degree applicable.

**MATHEMATICS G008 - 3 Units
Pre-algebra**

Prerequisites: Mathematics G005 or Mathematics Placement Assessment

This course will introduce basic operations with signed numbers, exponents, fraction and mixed numbers, first degree equations, radicals, proportions, rational expressions, factorizations, percents, formulas, applied problems, the rectangular coordinate system, geometry and measurements. Lecture & lab. Optional pass/no pass grade. Not transferable, not degree applicable.

**MATHEMATICS G009 - 1 Unit
Medication Calculations for Nurses**

Prerequisites: Mathematics G008 or Mathematics Placement Assessment

This course presents a review of decimals, fractions and percents as utilized by medical professionals to calculate drug dosages. Dosage calculations are presented using ‘dimensional analysis.’ Additional applications include conversion between the metric, apothecary and household systems, dosage calculations based upon body weight, intravenous calculations, and preparation of dilutions. This course may be taken 2 times. A six-week course. Lecture. Optional pass/no pass grade. Not transferable, not degree applicable.

**MATHEMATICS G010 - 4 Units
Elementary Algebra**

Prerequisites: Mathematics G008 or Mathematics Placement Assessment

This course is equivalent to a first-year high school algebra course. The topics covered include properties of real numbers, simplifying polynomial, rational, and radical expressions, and solving linear, quadratic, rational, and radical equations in one variable. The rectangular coordinate system is covered including graphing linear equations in two variables and solving systems of linear equations in two variables. Applications of mathematical concepts are incorporated throughout the course. This course is taught in a combined large lecture and laboratory format. Lecture & lab. Letter grade only. Not transferable, not degree applicable.

**MATHEMATICS G030 - 4 Units
Intermediate Algebra**

Prerequisites: Mathematics G010 or Mathematics Placement Assessment

This course is equivalent to a second-year high school algebra course. Topics include absolute value, rational exponents, radicals, linear equations and inequalities, quadratic equations and inequalities, functional notation, linear and quadratic functions, conic sections, logarithms, exponential and logarithmic functions, linear systems in two and three variables, sequences, and series. Lecture & lab. Letter grade only.

**MATHEMATICS G100 - 3 Units
Liberal Arts Mathematics**

Prerequisites: Mathematics G030 or Mathematics Placement Assessment

Using and expanding upon the skills gained from intermediate algebra, this course offers the liberal arts student an applications-oriented, problem-solving exploration into a variety of mathematical fields including geometry, trigonometry, statistics, and business mathematics. This course is designed not only to meet college general education requirements but to help generate a positive attitude toward and an interest in mathematics. Lecture & lab. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G103 - 3 Units
Statistics for Elementary Teachers**

(Formerly known as: Elem. Teachers Math. 3-Probability & Statistics)

Prerequisites: Mathematics G030 or Mathematics Placement Assessment

This course is designed for prospective teachers. This course is an activity-based exploration of statistics aligned with the California State Mathematics Standards. Topics include data representation and analysis, randomization and sampling, measures of central tendency and variability, hypothesizing and statistical inference. UC Credit Limitations: Math G103, G104 and G106 combined--maximum credit, one course; no credit for G103 if taken after G160/G160H. Lecture & lab. Letter grade only. Transferable to CSU; UC.Offered spring semester only.

**MATHEMATICS G104 - 3 Units
Mathematics for Elementary Teachers**

(Formerly known as: Mathematics for Elementary Teachers 1)

Prerequisites: Mathematics G030 or Mathematics Placement Assessment

Topics include problem solving skills, structure and arithmetic of the real number system, other numeration systems, set theory, and manipulatives. This course is designed for students planning to be elementary teachers. Student should complete Mathematics G020 (high school geometry) before taking the CBEST test, or the second math course for elementary teachers at a four-year school. UC Credit Limitations: Math G103, G104 and G106 combined--maximum credit, one course. Lecture & lab. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G115 - 4 Units
College Algebra**

Prerequisites: Mathematics G030 or Mathematics Placement Assessment

This course is designed for students needing to improve algebra skills necessary for success in Math G140 and Math G180. Topics include linear and quadratic functions and their graphs, polynomial and rational functions and their graphs, exponential and logarithmic functions and their graphs, conic sections, sequence and series, solving systems of equations, matrices and determinants, counting and probability. UC Credit Limitations: Math G115 and G170 combined----maximum credit, one course. Lecture. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G120 - 3 Units
Trigonometry**

Prerequisites: Mathematics G030 or Mathematics Placement Assessment

Advisories: Mathematics G020

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 required. Lecture. Letter grade only. Transferable to CSU.

**MATHEMATICS G140 - 4 Units
Business Calculus**

(Formerly known as: Math130)

Prerequisites: Mathematics G115 or Mathematics G170 or Mathematics Placement Assessment

This course is designed for students of business, management, and social science who need only one semester of calculus that covers a variety of topics that usually span parts of three semesters of calculus. Topics include functions, limits and continuity, differentiation, integration, graphing, the calculus of two variables and applications of the derivative and integral. This course does not prepare a student to enter Mathematics G180 or G185. UC Credit Limitations: Math G140, G180 and G180H combined--maximum credit, one course. Lecture. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G155 - 4 Units
Finite Mathematics with Applications**

(Formerly known as: Finite Mathematics Mathematics G150)

Prerequisites: Mathematics G030 or Mathematics Placement Assessment

This course is designed for students majoring in business, management, social, behavioral, and life sciences. Topics include functions, linear systems, matrices, linear programming, finance, sets, counting, probability, Markov chains, and game theory. A scientific calculator will be required. Lecture. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G160 - 4 Units
Introduction to Statistics**

Prerequisites: Mathematics G030 or Mathematics Placement Assessment

Topics include concepts and procedures of descriptive and inferential statistics; collecting, classifying, tabulating, graphing univariate and bivariate data; measures of central tendencies, variation, percentiles, probability, binomial, normal, T, Chi-square and F distributions; making inferences, decisions and predictions. This course develops statistical thinking through the study of and applications to data sets in the social and behavioral sciences, business, and other disciplines. The use of a graphing calculator and/or statistical analysis computer programs is integrated into the course. UC Credit Limitations: Math G160 and G160H combined--maximum credit, one course. UC credit limitations. See counselor. Lecture. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G170 - 5 Units
Precalculus**

Prerequisites: Mathematics G120 or Mathematics Placement Assessment

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 vectors, analytic geometry, linear systems, matrices, elementary theory of equations, polar coordinates, sequences, series, and complex numbers. This course is essential for those students planning to study Mathematics G180 (Calculus 1). UC Credit Limitations: Math G115 and G170 combined--maximum credit, one course. Math G170 (maximum credit, 4 units.) Lecture. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G180 - 5 Units
Calculus 1**

Prerequisites: Mathematics G170 or Mathematics Placement Assessment

This is the first course in a three-course sequence designed for mathematics, science and engineering majors. The topics covered in this course include analytic geometry, functions, limits, continuity, differentiation and integration of functions. Applications of differential and integral calculus are included throughout the curriculum. UC credit limitations. See counselor.

*The student should plan to complete the first three semesters of calculus at Golden West College to maintain continuity. Lecture. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G185 - 5 Units
Calculus 2**

Prerequisites: Mathematics G180 or Mathematics G180H

This 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, transcendental functions, polar and parametric functions, indeterminate forms, 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.) Lecture. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G235 - 4 Units
Applied Linear Algebra**

(Formerly known as: Math 290)

Prerequisites: Mathematics G185

Introduction to linear algebra, classical linear algebra problems, and applications to computer science and related technologies including matrices, determinants, linear spaces, linear transformations, and eigenvalues. Lecture. Letter grade only. Transferable to CSU; UC.Offered spring semester only.

**MATHEMATICS G280 - 5 Units
Calculus 3**

Prerequisites: Mathematics G185

This is the third course 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. Lecture. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G282 - 4 Units
Ordinary Differential Equations**

Prerequisites: Math G185

This course provides students with an introduction to the theory, techniques and applications of ordinary differential equations. The topics covered include first-order differential equations, higher-order differential equations, power series solutions, Laplace transforms, systems of differential equations and numerical methods. Lecture. Letter grade only. Transferable to CSU; UC.

**MATHEMATICS G285 - 5 Units
Introduction to Linear Algebra and Differential Equations**

(Formerly known as: Ordinary Differential Equations)

Prerequisites: Mathematics G185

This course is designed to introduce students to the fields of Linear Algebra and Differential Equations. Topics include matrices, determinants, vector spaces, linear systems of equations, inner product spaces, first and second order differential equations, systems of differential equations, and Laplace transforms. Lecture. Letter grade only. Transferable to CSU; UC.