# 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 an operations on decimals; ratio and proportion; percentage; U.S. and metric systems of measurement; numerical geometry; graph reading; operations on signed numbers. Application of arithmetic to everyday life (word problems) is emphasized throughout the course.

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

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

*Skills Advisories: Eligibility for ENG 100 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 074: Pre-algebra Refresher**

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

Short course intended for those students who have assessed into Math 4 and wish to improve their assessment level; those who have successfully completed Math 4 but need more review; or students who unsuccessfully attempted Math 100 and need review of pre-algebra skills. Features a computer program to refresh those concepts identified as needed for each student, plus weekly contact with the instructor. 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**

Short course intended for those students who have assessed into Math 100 and wish to improve their assessment level; those who have successfully completed Math 100 but need more review; or students who unsuccessfully attempted Math 107 and need review of elementary algebra skills. Features a computer program to refresh those concepts identified as needed for each student, plus weekly contact with the instructor. Successful completion of this course may serve as a petition to challenge Math 100. Course does not replace a failing grade in Math 100.

**MATH 087: Intermediate Algebra Refresher**

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

Short course intended for those students who have assessed into Math 107 and wish to improve their assessment level; those who have successfully completed Math 107 but need more review; or students who unsuccessfully attempted Math 120 and need review of intermediate algebra skills. Features a computer program to refresh those concepts identified as needed for each student, plus weekly contact with the instructor. 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 090: Orientation To Mathematics Assessment**

**(0.2) F, S**

Orientation to math assessment at SBCC. Four testing levels are reviewed. Discussion of test-taking strategies. Supervised practice testing in a test-like situation.

**MATH 100: Elementary Algebra**

**(5) F, S**

*Prerequisites: MATH 4 with a "C" or better or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 and ENG 103

Beginning algebra, similar to a standard first-year high school algebra course, including 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, graphing parabolas.

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

**(1) F, S**

*Skills Advisories: Eligibility for ENG 100 and 103*

Co-requisites: MATH 100

Co-requisites: MATH 100

Topics designed to increase student success in mathematics. Note: MATH 100N to be taken as a corequisite for a specified section of MATH 100. (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 104: Elementary/Intermediate Algebra with Study Skills**

**(10) F, S**

*Prerequisites: MATH 4 with a "C" or better or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 and ENG 103

Beginning algebra and intermediate algebra with study skills, including linear, quadratic, polynomial, rational, radical, exponential and logarithmic expressions and equations. Systems of equations in two variables, inequalities, functions, variation; and introduction to graphing calculators.

**MATH 107: Intermediate Algebra**

**(4) F, S**

*Prerequisites: MATH 100 with a "C" or better or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 100 and 103

Skills Advisories: Eligibility for ENG 100 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 100 and 103. Proficiency in MATH 100*

Co-requisites: MATH 107

Co-requisites: MATH 107

Topics to increase student success in Intermediate Algebra.

**MATH 108: Mathematics For Elementary Teachers**

**(4) F, S - 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 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 and ENG 103

Recommended for prospective and in-service elementary school teachers. Mathematical investigations involving sets, number sense, integers, rational numbers, and real numbers. (CAN MATH 4)

**MATH 111: Intermediate Algebra For Math, Science And Business Majors**

**(5) F, S**

*Prerequisites: MATH 100 with a "C" or better, or qualifying score on SBCC placement exam*

Skills Advisories: Eligibility for ENG 100 and ENG 103

Course Advisory: MATH 100 with a "B" or better

Skills Advisories: Eligibility for ENG 100 and ENG 103

Course Advisory: MATH 100 with a "B" or better

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

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

**(4) F, S - 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: ENG 100 and 103

Skills Advisories: ENG 100 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 or ENG 110GB

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

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 distribution, one-way ANOVA, multiple comparisons procedure. (*UC Transfer Limit: MATH 117, 117H and PSYCH 150 combined: maximum credit, one course) (CAN STAT 2)

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

**(4) - 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 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 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, 137 and 138 combined: maximum credit, 4 units) (CAN MATH 10)

**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 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 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. (CAN MATH 30 or CAN SEQ D [with MATH 131]) (*UC Transfer Limit: MATH 130 and 131 combined with MATH 150 and 160: maximum credit, one series)

**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 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 and ENG 103

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. (CAN MATH 32 or CAN SEQ D [with MATH 130]) (*UC Transfer Limit: MATH 130 and 131 combined with MATH 150 and 160: maximum credit, one series)

**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 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 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, 137 and 138 combined: maximum credit, 4 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 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 and ENG 103

Advanced algebra course emphasizing analysis, graphing and applications of trigonometric functions. Such functions are developed from circular functions. Trigonometric identities and conditional equations, as well as applications to triangles, vectors, complex numbers, parametric equations and polar coordinates. Additional topics include sequences, series and the Binomial Theorem. (CAN MATH 16) (*UC Transfer Limit: MATH 120, 137 and 138 combined: maximum credit, 4 units)

**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 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 and ENG 103

Limits, derivatives and integrals of algebraic, trigonometric, exponential and logarithmic functions. Differentials and applications of the derivative. Introduction to differential equations. (*UC Transfer Limit: MATH 150 and 160 combined with MATH 130 and 131: maximum credit, one series) (CAN MATH 18 or CAN MATH SEQ B [with MATH 160] or CAN MATH SEQ C [with MATH 160 and MATH 250])

**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 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 and ENG 103

Techniques of integration; applications of definite integrals; polar equations; sequences and infinite series; introduction to differential equations and to vectors. (*UC Transfer Limit: MATH 150 and 160 combined with MATH 130 and 131: maximum credit, one series) (CAN MATH 20 or CAN MATH SEQ B [with MATH 150] or CAN MATH SEQ C [with MATH 150 and MATH 250])

**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 197: Workshop for Pre-Calculus**

**(1) F, S**

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

Corequisites: Concurrent enrollment in Math 137 or Math 138 A supplementary problem-solving course designed for students currently enrolled in Math 137 or 138.

**MATH 198: Workshop for Precalculus**

**(1) F, S**

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

Corequisites: Concurrent enrollment in Math 137 or Math 138 A supplementary problem-solving course designed for students currently enrolled in Math 137 or 138.

**MATH 199: Workshop for Calculus**

**(1) F, S**

*Co-requisites: Concurrent enrollment in MATH 150 or MATH 160*

Pre-requisites: MATH 138 or MATH 150 with grade of "C" or better or qualifying score on SBCC placement exam A supplementary problem-solving course designed for students currently enrolled in Math 150 or 160.

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

**(1) F,S**

*Skills Advisories: Eligibility for ENG 100 and ENG 103*

Pre-requisites: MATH 107 with minimum grade of "C" or MATH 111 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 with a minimum grade of C or MATH 111 with a minimum grade of C*

Skills Advisories: Eligibility for ENG 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 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 with a minimum grade of "C" or MATH 111 with a minimum grade of "C"*

Skills Advisories: Eligibility for ENG 100 and ENG 103

Skills Advisories: Eligibility for ENG 100 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 with a minimum grade of "C" or MATH 111 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's 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, bases, systems of linear equations, linear transformations, matrices, LU factorization, change of bases, similarity of matrices, eigenvalues and eigenvectors, diagonalization, 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.*

Introductory course in the 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 250: Multivariable Calculus With Linear Algebra**

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

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

Functions of several variables, multiple integrals and applications, partial differentiation and applications, calculus of vector functions, Green's Theorem, Stokes's Theorem, three-dimensional analytic geometry using vectors, basic vector space concepts, determinants, and systems of linear equations using matrices. (CAN MATH 22 or CAN MATH 26 [with MATH 260] or CAN MATH SEQ C [with MATH 150 and MATH 160])

**MATH 260: Differential Equations And Linear Algebra**

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

*Prerequisites: MATH 250 with a "C" or better*

Introductory course in the theory and applications of ordinary and partial differential equations. Topics include constant coefficient equations, series techniques, introduction to LaPlace transforms, separable partial differential equations, and introduction to stability in nonlinear systems. The necessary linear algebra is developed for a study of systems of linear differential equations. Topics from linear algebra include linear transformations and their matrices relative to a given basis and eigenvalues and eigen-vectors. (CAN MATH 24 or CAN MATH 26 [with MATH 250])

**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.