# Courses

**MATH 001: Basic Mathematics**

**(3) F, S**

Basic math course, including place value, reading and writing numbers; arithmetic operations on whole numbers; fraction concepts and operations on fractions; decimal concepts and operations on decimals; ratio and proportion; percentage; systems of measurement; numerical geometry; graph reading; operations on signed numbers. Application of arithmetic to everyday life is emphasized throughout the course.

**MATH 001N: Study Skills in Math**

**(1) F, S, Summer**

*Skills Advisories: Eligibility for ENG 98 Eligibility for ENG 103.*

Topics designed to increase student success in mathematics.

**MATH 004: Pre-Algebra**

**(3) F, S**

*Prerequisites: MATH 1, with a "C" or better or qualifying score on SBCC placement exam*

Introduction to algebra: signed numbers, exponents, roots, evaluation of algebraic expressions, simplification of algebraic expressions, translation from English to algebra, solution of linear equations.

**MATH 041: Fundamentals in Mathematics and Pre-Algebra**

**(5) F, S**

*Skills Advisories: Eligibility for ENG 98 and ENG 103*

Foundational course, including language development, place value; definitions, concepts and operations on whole numbers, fractions, decimals, ratios, proportions, percentage and signed numbers; U.S. and metric measurement systems; introduction to algebra, rules of exponents, roots, evaluation and simplification of algebraic expressions; solving linear equations, basic polynomial factoring, and introduction to graphing. Application/word problems throughout the course.

**MATH 070: Reading and Writing in Mathematics**

**(1) F, S**

*Prerequisites: Math 4*

A course for students to develop strategies for reading and writing to learn mathematics.

**MATH 074: Pre-algebra Refresher**

**(1) F,S, Summer**

Pre-algebra refresher for students who desire higher placement; students who've completed Math 4 but need review; or those who have attempted Math 95 and need pre-algebra review. Successful completion of this course may serve as a petition to challenge Math 4. Course does not replace a failing grade in Math 4.

**MATH 080: Elementary Algebra Refresher**

**(1) F, S, Summer**

For students who assessed into Math 95 and wish to improve their assessment level or who unsuccessfully attempted Math 107 and need review of elementary algebra. Successful completion may serve as a petition to challenge Math 95 through a comprehensive exam.

**MATH 087: Intermediate Algebra Refresher**

**(1) F,S, Summer**

Intermediate algebra refresher for students who desire higher placement; students who have completed Math 107 but need review; or those who have attempted Math 120 and need review. Successful completion of this course may serve as a petition to challenge Math 107. Course does not replace a failing grade in Math 107.

**MATH 095: Elementary Algebra**

**(5) F, S**

*Prerequisites: MATH 4 or MATH 41 with a minimum grade of "C" or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 98 and ENG 103

Skills Advisories: Eligibility for ENG 98 and ENG 103

Beginning algebra, similar to a standard first-year high school algebra course. Includes a review of signed numbers and their properties, equations and inequalities in one variable, graphing linear equations, systems in two variables, integer exponents, rational and polynomial expressions, quadratic equations, the quadratic formula, and graphing parabolas.

**MATH 095N: Study Skills In Math**

**(1) F, S**

*Skills Advisories: Eligibility for ENG 98 and 103. Proficiency in MATH 4*

Co-requisites: MATH 95

Co-requisites: MATH 95

Topics designed to increase student success in mathematics. Must be enrolled in Math 95 (100).

**MATH 100: Elementary Algebra**

**(5) F, S**

*Prerequisites: MATH 4 or MATH 41 with a minimum grade of "C" or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 98 and ENG 103

Skills Advisories: Eligibility for ENG 98 and ENG 103

Beginning algebra, similar to a standard first-year high school algebra course. Includes a review of signed numbers and their properties, equations and inequalities in one variable, graphing linear equations, systems in two variables, integer exponents, rational and polynomial expressions, quadratic equations, the quadratic formula, and graphing parabolas.

**MATH 100N: Study Skills In Math**

**(1) F, S**

*Skills Advisories: Eligibility for ENG 98 and 103*

Co-requisites: MATH 100

Co-requisites: MATH 100

Topics designed to increase student success in mathematics. Note: MATH 095N to be taken as a corequisite for a specified section of MATH 095. (See Schedule of Classes for the specific section).

**MATH 103: Nursing and Allied Health Math**

**(1)**

*Prerequisites: Math 4, with a minimum grade of "C" or better or qualifying score on SBCC placement exam.*

Designed for Nursing and Allied Health professionals, focuses on math skills necessary to be successful in an Allied Health occupational area. After reviewing basic math skills and algebra, students learn metric system conversions, conversion among and between the metric, apothecary and household units of measure, and computational methods used in the preparation of medications.

**MATH 107: Intermediate Algebra**

**(4) F, S**

*Prerequisites: MATH 095 with a "C" or better or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 98 and 103

Skills Advisories: Eligibility for ENG 98 and 103

Second course in algebra, including algebraic manipulation of polynomials, rational expressions, exponents, radicals, linear equations, ratio and proportion, inequalities, word problems, quadratic equations, systems of linear and quadratic equations. An introduction to functions and nonlinear equations. Exponential and logarithmic functions and their applications.

**MATH 107N: Study Skills in Intermediate Algebra**

**(1) F, S**

*Skills Advisories: Eligibility for ENG 98 and 103. Proficiency in MATH 095*

Co-requisites: MATH 107

Co-requisites: MATH 107

Topics to increase student success in Intermediate Algebra.

**MATH 108: Structures and Concepts in Mathematics I**

**(4) F, S - CSU, UC**

*Prerequisites: MATH 107 or MATH 111 with a "C" or better or qualifying score on SBCC placement exam.*

Skills Advisories: Eligibility for ENG 98 and ENG 103

Skills Advisories: Eligibility for ENG 98 and ENG 103

Recommended for prospective and in-service elementary school teachers. Mathematical investigations and problem solving involving sets, number sense, integers, rational numbers, and real numbers.

**MATH 114: Mathematics for Liberal Arts Majors**

**(4) F, S - CSU, UC**

*Prerequisites: MATH 107 with a minimum grade of C or MATH 111 with a minimum grade of C or qualifying score on SBCC exam*

Skills Advisories: ENG 98 and 103

Skills Advisories: ENG 98 and 103

Intended to broaden students' understanding of methods, history and applications of mathematics. Logic, mathematical proofs, numeration systems, modular arithmetic, coordinate geometry and graphing, elementary probability and statistics, linear programming, and financial math.

**MATH 117: Elementary Statistics**

**(4) F, S - CSU, UC***

*Prerequisites: MATH 107 or MATH 111 with a "C" or better or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 110 or ENG 110H

Skills Advisories: Eligibility for ENG 110 or ENG 110H

General education mathematics course. Introduction to design of experiments, descriptive statistics and sampling distributions. Central Limit Theorem, statistical inference, confidence interval estimation, tests of hypotheses, correlation and linear regression, categorical variables, Chi-square, one-way ANOVA, and multiple comparisons procedure.

**MATH 117H: Elementary Statistics, Honors**

**(4) F, S - CSU, UC***

*Prerequisites: MATH 107 or MATH 111 with a "C" or better or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 110 or ENG 110H or ENG 110GB

Skills Advisories: Eligibility for ENG 110 or ENG 110H or ENG 110GB

Limitation on Enrollment: Acceptance into the Honors Program General education mathematics course. Introduction to design of experiments, descriptive statistics and sampling distributions, Central Limit Theorem, statistical inference, confidence interval estimation and tests of hypotheses, correlation and linear regression, categorical variables and Chi-square distribution. One-way ANOVA, multiple comparisons procedure. (*UC Transfer Limit: MATH 117, 117H and PSY 150 combined: maximum credit, one course) (CAN STAT 2)

**MATH 120: College Algebra**

**(4) - CSU, UC***

*Prerequisites: MATH 104 or MATH 107 or MATH 111 with a "C" or better or qualifying score on SBCC placement exam.*

Skills Advisories: Eligibility for ENG 98 and ENG 103

Skills Advisories: Eligibility for ENG 98 and ENG 103

Study of functions and their graphs, including polynomial, rational, exponential and logarithmic functions. Systems of equations and conics. (*UC Transfer Limit: MATH 120 and 137 combined: maximum credit, one course; MATH 120 and 138 combined: maximum credit, one course)

**MATH 130: Calculus for Biological Sciences, Social Sciences and Business I**

**(5) F, S - CSU, UC***

*Prerequisites: MATH 111 or 120 with a "C" or better or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 98 and ENG 103

Skills Advisories: Eligibility for ENG 98 and ENG 103

Calculus of one variable, limits, continuity, differentiation, Riemann approximations, definite and indefinite integrals; introduction to integration techniques, exponential and logarithmic functions, curve-sketching, maxima/minima problems, related rates and applications. (*UC Transfer Limit: MATH 130 and MATH 150 combined: maximum credit, one course).

**MATH 131: Calculus For Biological Sciences, Social Sciences And Business II**

**(3) S - CSU, UC***

*Prerequisites: MATH 130 with a "C" or better*

Skills Advisories: Eligibility for ENG 98 and ENG 103 and MATH 130

Skills Advisories: Eligibility for ENG 98 and ENG 103 and MATH 130

Techniques of integration for single and multivariable calculus, functions of several variables, partial differentiation, maxima/minima problems, differential equations, and probability. Optional topics: infinite series, Taylor's Theorem and the calculus of trigonometric functions.

**MATH 137: Precalculus I - College Algebra And Functions**

**(5) F, S - CSU, UC***

*Prerequisites: Math 107 or 111 or 104 with a "C" or better or qualifying score on SBCC placement exam.*

Skills Advisories: Eligibility for ENG 98 and ENG 103

Skills Advisories: Eligibility for ENG 98 and ENG 103

Short review of intermediate algebra topics, extensive treatment of functions and graphing techniques including translations, symmetries, reflections and graphs of inverse functions. Identities and conditional equations. Analysis and applications of polynomial, rational, exponential and logarithmic functions. Solving linear and nonlinear systems, using matrix algebra, and roots of higher-degree polynomials. Logic and structure of proofs. (*UC Transfer Limit: MATH 120 and 137 combined: maximum credit, one course; MATH 137 and 138 combined: maximum credit 5 semester units). Note: MATH 137/138 precalculus sequence is equivalent to the former 140/141 precalculus sequence. Students who have passed the 140/141 sequence may not enroll in the 137/138 sequence.

**MATH 138: Precalculus II - College Algebra And Trigonometry**

**(4) F, S - CSU, UC***

*Prerequisites: MATH 137 with a "C" or better or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 98 or ENG 110H or 110GB

Skills Advisories: Eligibility for ENG 98 or ENG 110H or 110GB

Advanced algebra course emphasizing analysis, graphing and applications of trigonometric functions. Such functions are developed from circular functions. Trigonometric identities and conditional equations, applications to triangles, vectors, complex numbers, parametric equations and polar coordinates. Additional topics include sequences, series and the Binomial Theorem.

**MATH 150: Calculus with Analytic Geometry I**

**(5) F, S - CSU, UC***

*Prerequisites: MATH 138 with a "C" or better or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 98 and ENG 103

Skills Advisories: Eligibility for ENG 98 and ENG 103

Limits, derivatives and integrals of algebraic, trigonometric, exponential and logarithmic functions. Differentials and applications of the derivative. Introduction to differential equations.

**MATH 160: Calculus With Analytic Geometry II**

**(5) F, S - CSU, UC***

*Prerequisites: MATH 150 with a "C" or better*

Skills Advisories: Eligibility for ENG 98 and ENG 103

Skills Advisories: Eligibility for ENG 98 and ENG 103

Techniques of integration; applications of definite integrals; polar equations; sequences and infinite series; introduction to differential equations and to vectors.

**MATH 188: Trigonometry Refresher**

**(1) F, S, Summer**

This short course is intended for students who wish to review trigonometry topics before or while taking Calculus or higher courses. A computer program is used to refresh concepts identified as needed for each student, plus weekly contact with the instructor. This course is in no way intended to replace Math 138.

**MATH 199A: Workshop for Precalculus I**

**(1) F,S**

*Skills Advisories: Eligibility for ENG 98 and ENG 103*

Pre-requisites: MATH 107 or MATH 111 both with minimum grade of "C" A supplementary problem-solving course designed for students currently enrolled in Precalculus I.

**MATH 199B: Workshop for Precalculus II**

**(1) F,S**

*Prerequisites: MATH 107 or MATH 111 both with a minimum grade of "C"*

Skills Advisories: Eligibility for ENG 98 and ENG 103

Skills Advisories: Eligibility for ENG 98 and ENG 103

A supplementary problem-solving course designed for students currently enrolled in Precalculus II.

**MATH 199C: Workshop for Calculus I**

**(1) F,S**

*Prerequisites: MATH 107 or MATH 111 with a minimum grade of "C"*

Skills Advisories: Eligibility for ENG 98 and ENG 103

Skills Advisories: Eligibility for ENG 98 and ENG 103

A supplementary problem-solving course designed for students currently enrolled in Calculus I.

**MATH 199D: Workshop of Calculus II**

**(1) F,S**

*Prerequisites: MATH 107 or MATH 111 both with a minimum grade of "C"*

Skills Advisories: Eligibility for ENG 110 or ENG 110H or ENG 110GB

Skills Advisories: Eligibility for ENG 110 or ENG 110H or ENG 110GB

A supplementary problem-solving course designed for students currently enrolled in Calculus II.

**MATH 200: Multivariable Calculus**

**(4) F, S - CSU, UC**

*Prerequisites: MATH 160 with a grade of "C" or better*

Functions of several variables, multiple integrals and applications, partial differentiation and applications, calculus of vector functions, Green's Theorem, Stokes' Theorem, and Divergence Theorem.

**MATH 210: Linear Algebra**

**(4) F, S - CSU, UC**

*Prerequisites: Math 160, with a grade of "C" or better.*

Finite dimensional vector spaces, linear independence, basis, systems of linear equations, linear transformations, matrices, LU factorization, change of basis, similarity of matrices, eigenvalues and eigenvectors, applications, quadratic forms, symmetric and orthogonal matrices, canonical forms, introduction to infinite dimensional vector spaces.

**MATH 220: Differential Equations**

**(4) F, S - CSU, UC**

*Prerequisites: Math 200 and Math 210 with a grade of "C" or better.*

Theory and applications of ordinary and partial differential equations. Topics include constant coefficient equations, series techniques, introduction to Laplace Transforms, qualitative and quantitative solutions to linear and nonlinear systems of differential equations, and separable partial differential equations.

**MATH 295: Internship In Mathematics**

**(2-4) F, S - CSU**

*Prerequisites: MATH 107 or MATH 111 with a "C" or better or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 110 or ENG 110H or ENG 110GB

Skills Advisories: Eligibility for ENG 110 or ENG 110H or ENG 110GB

Limitation on Enrollment: Completion of two courses in the Mathematics Department at SBCC prior to enrolling in an internship course. Five to 10 hours weekly on-the-job experience. Structured internship program in which students gain experience in community organizations related to the discipline.