MATH 0010. Problem Solving
Units: 4
Prerequisite: Completion of Intermediate Algebra or equivalent with grade of "C" or better, or appropriate placement
Hours: 72 lecture
Individual and small-group problem solving geared toward real life situations and nontraditional problems. Problem solving strategies include: draw a diagram, eliminate possibilities, make a systematic list, look for a pattern, guess and check, solve an easier related problem, subproblems, use manipulatives, work backward, act it out, unit analysis, use algebra, finite differences, and many others. Divergent thinking and technical communication skills of writing and oral presentation are enhanced. Designed to teach students to think more effectively and vastly increase their problem solving ability. (CSU)
MATH 0012. College Algebra
Units: 4,6
Prerequisite: Completion of MATH D or Math G with grade of "C" or better, or placement by matriculation assessment process
Hours: 72 lecture (4 units); 108 lecture (6 units)
Study of algebra topics beyond MATH D; including functions, graphs, logarithms, systems of equations, matrices, analytic geometry sequences, mathematical induction, and introduction to counting techniques. (CSU-with unit limitation, UC-with unit limitation)
MATH 0012S. Just in Time Support for Math 12 College Algebra
Units: 2
Corequisite: Concurrent enrollment in Math 12
Hours: 36 lecture
Just in time support covering the core prerequisite skills, competencies, and concepts from College Algebra. Intended for students who are concurrently enrolled in Math 12. Topics include competencies from Intermediate Algebra that are needed to understand the basics of College Algebra. (not degree applicable) (pass/no pass grading)
MATH 0013. Elementary Statistics
Units: 4,6
Prerequisite: Completion of MATH D or E with grade of "C" or better; or appropriate placement
Hours: 72 lecture (4 units); 108 lecture (6 units)
Introduction to the basic concepts of statistics. Emphasis on statistical reasoning and application of statistical methods. Topics include: graphical and numerical methods of descriptive statistics; methods of sampling; basic elements of probability; binomial, normal, and sampling distributions; the Central Limit Theorem; confidence interval estimates and hypothesis testing procedures for one and two population means and proportions; chi-square tests for goodness-of-fit and independence; linear regression and correlation; and an introduction to analysis of variance (ANOVA). Applications using data from business, economics, education, psychology, and the social and life sciences. (C-ID MATH 110) (CSU, UC-with unit limitation)
MATH 0013S. Just in Time Support for Elementary Statistics
Units: 2
Corequisite: Concurrent enrollment in MATH 13
Hours: 36 lecture
Just in time support option covering the core prerequisite skills, competencies, and concepts for Elementary Statistics. Intended for students who are concurrently enrolled in MATH 13. Topics include concepts from arithmetic, pre-algebra, elementary and intermediate algebra, and descriptive statistics that are needed to understand the basics of college-level statistics. Concepts are taught through the context of descriptive data analysis including an introduction to technologies such as Desmos, Excel, Statcrunch, Minitab, SPSS or graphing calculators. Recommended for students taking MATH 13 with little or no recent algebra knowledge. (not transferable) (not degree applicable) (pass/no pass grading)
MATH 0015. Discrete Mathematics
Units: 4
Prerequisite: Completion of MATH 30 with grade of "C" or better
Hours: 72 lecture
Study of set theory, relations and functions, logic, combinatorics and probability, algorithms, computability, matrix algebra, graph theory, recurrence relations, number theory including modular arithmetic. Various forms of mathematical proof are developed: proof by induction, proof by contradiction. (CSU, UC)
MATH 0016A. Calculus for Social and Life Sciences
Units: 4
Prerequisite: Completion of MATH 12 with grade of "C" or better or placement by matriculation assessment process
Advisory: Not recommended for students with grade of "C" or better in MATH 30
Hours: 72 lecture
Review of functions, limits, differentiation and integration of algebraic functions, calculus for exponential and logarithmic functions, applications of calculus in social and life sciences. This course is not intended for students majoring in mathematics, engineering, physics, or chemistry. (CSU, UC-with unit limitation)
MATH 0016B. Calculus for Social and Life Sciences
Units: 4
Prerequisite: Completion of MATH 16A or 30 with grade of "C" or better
Advisory: Completion of MATH 27 with grade of "C" or better
Hours: 72 lecture
Differentiation and integration of trigonometric functions, functions of several variables, partial derivatives, double integrals, introduction to differential equations, sequences and series, applications of calculus in the social and life sciences. (CSU, UC-with unit limitation)
MATH 0017. Concepts of Mathematics
Units: 3
Prerequisite: Completion of Intermediate Algebra and Geometry or equivalent with grade of "C" or better, or appropriate placement
Hours: 54 lecture
Exploration of mathematical patterns and relations, formulation of conjectures based on the explorations, proving (or disproving) the conjectures. Includes different problem solving techniques, number theory, probability, statistics, sequences and series, and geometry. Intended for students interested in elementary education. (CSU, UC-with unit limitation)
MATH 0017S. Concepts of Mathematics Support
Units: 2
Corequisite: Concurrent enrollment in Math 17
Hours: 36 lecture
Concurrent support for competency and concepts from Euclidean Geometry. Intended for students concurrently enrolled in Math 17. (not degree applicable) (pass/no pass grading)
MATH 0018. The Nature of Mathematics
Units: 3
Prerequisite: Completion of Intermediate Algebra or appropriate placement
Hours: 54 lecture
Introduces students to the art and application of mathematics in the world around them. Topics include mathematical modeling, voting and apportionment, and mathematical reasoning with applications chosen from a variety of disciplines. Not recommended for students entering elementary school teaching or business. (CSU, UC-with unit limitation)
MATH 0019. Mathematical Concepts for Elementary School Teachers
Units: 3
Prerequisite: Completion of Intermediate Algebra or equivalent with grade of "C" or better, or appropriate placement
Hours: 54 lecture
Focuses on the development of quantitative reasoning skills through in-depth, integrated explorations of topics in mathematics, including the real number system and its subsystems. The emphasis is on comprehension and analysis of mathematical concepts and applications of logical systems. (C-ID MATH 120) (CSU, UC)
MATH 0024. Modern Business Mathematics
Units: 3
Prerequisite: Two years of high school algebra or MATH D or MATH G with grade(s) of "C" or better, or placement by matriculation assessment process
Hours: 54 lecture
Applications of mathematics in economics and business contexts. Topics include tables and graphs, functions, finance (interest and exponential models), rates of change including applications and optimization, and linear programming. (CSU, UC)
MATH 0024S. Just in Time Support for Math 24 Modern Business Mathematics
Unit: 1.5
Corequisite: Concurrent enrollment in Math 24
Hours: 27 lecture
Just in time support option covering the core prerequisite skills, competencies, and concepts for Modern Business Mathematics. Intended for students who are concurrently enrolled in MATH 24. Topics include numeracy; computational skills; the vocabulary of algebra; simplification, manipulation and evaluation of expressions and functions; solving and graphing linear equations and inequalities in one and two variables; solving and graphing systems of equations in two variables; factoring; algebraic operations on polynomial and rational expressions. Recommended for students taking Math 24 with little or no recent algebra knowledge. (not degree applicable) (pass/no pass grading)
MATH 0027. Trigonometry
Units: 4
Formerly known as MATH 8
Prerequisite: Completion of MATH D or MATH G with grade of "C" or better, or placement by matriculation assessment process
Hours: 72 lecture
Fundamentals of trigonometry. Topics include review of algebraic functions, definitions of trigonometric and circular functions, graphs, identities and applications. Other material includes solving trigonometric equations, solving triangles using the Laws of Sines and Cosines, parametric equations, vectors, polar coordinates and graphs, polar representations of complex numbers and conic sections. (CSU)
MATH 0028. Independent Study
Units: 1-3
Designed for students interested in furthering their knowledge at an independent study level in an area where no specific curriculum offering is currently available. Independent study might include, but is not limited to, research papers, special subject area projects, and research projects. See Independent Study page in catalog. (CSU, UC-with unit limitation)
MATH 0029. Pre-Calculus Mathematics
Units: 4
Prerequisite: Completion of MATH 27 with grade of "C" or better or placement by matriculation assessment process
Hours: 72 lecture
Preparation for calculus. Study of polynomials, rational functions, exponential and logarithmic functions, trigonometric functions, systems of linear equations, matrices, determinants, rectangular and polar coordinates, conic sections, complex number systems, mathematical induction, binomial theorem, and sequences. Recommended for students who plan to take MATH 30. (CSU, UC-with unit limitation)
MATH 0030. Analytical Geometry and Calculus I
Units: 4
Prerequisite: Completion of MATH 12 and MATH 27, or MATH 29 with grades of "C" or better, or placement by matriculation assessment process
Hours: 72 lecture
Introduction to differential and integral calculus. Content includes limits, continuity, differentiation and integration of algebraic, trigonometric, exponential, logarithmic, hyperbolic and other transcendental functions; as well as application problems. (C-ID MATH 210) (combined with MATH 31, C-ID MATH 900S) (CSU, UC-with unit limitation)
MATH 0030S. Just in Time Support for Math 30 Calculus I
Unit: 1
Corequisite: Concurrent enrollment in Math 30
Hours: 18 lecture
Just in time support covering the core prerequisite skills, competencies, and concepts from Calculus I. Intended for students who are concurrently enrolled in Math 30. Topics include competencies from College Algebra and Trigonometry that are needed to understand the basics of Calculus. (CSU)
MATH 0031. Analytical Geometry and Calculus II
Units: 4
Prerequisite: Completion of MATH 30 with grade of "C" or better
Hours: 72 lecture
Continuation of MATH 30. Content includes techniques of integration, improper integrals, applications of integration, infinite series, parametric equations and polar coordinates. (C-ID MATH 220) (combined with MATH 30, C-ID MATH 900S) (CSU, UC-with unit limitation)
MATH 0032. Analytical Geometry and Calculus III
Units: 4
Prerequisite: Completion of MATH 31 with grade of "C" or better
Hours: 72 lecture
Continuation of MATH 31. Vectors and analytic geometry in the plane and space; functions of several variables; partial differentiation, multiple integrals, and application problems; vector functions and their derivatives; motion in space; and surface and line integrals, Stokes' and Green's Theorems, and the Divergence Theorem. (C-ID MATH 230) (CSU, UC)
MATH 0033. Differential Equations and Linear Algebra
Units: 6
Prerequisite: Completion of MATH 31 with grade of "C" or better
Advisory: Completion of MATH 32 with grade of "C" or better strongly recommended
Hours: 108 lecture
First and second order ordinary differential equations, linear differential equations, numerical methods and series solutions, Laplace transforms, modeling and stability theory, systems of linear differential equations, matrices, determinants, vector spaces, linear transformations, orthogonality, eigenvalues and eigenvectors. (C-ID MATH 910S) (CSU, UC)
MATH 0042. Business Calculus
Units: 4
Prerequisite: Completion of MATH D or MATH G with grade of "C" or better, or placement by matriculation assessment process
Advisory: Completion of MATH 12 strongly recommended, especially for students who have not recently taken MATH D or MATH G
Hours: 72 lecture
Introduction to differential and integral calculus with particular emphasis on applications in the fields of business, economics, and social sciences. Includes: concepts of a function, limits, derivatives, integrals of polynomial, exponential and logarithmic functions, optimization problems, and calculus of functions of more than one variable. Recommended for Business Majors transferring to CSU, Sacramento. Not recommended for students with credit for MATH 30. (C-ID MATH 140) (CSU, UC-with unit limitation)
MATH 0042S. Just in Time Support for Math 42 Business Calculus
Units: 2
Corequisite: Concurrent enrollment in Math 42
Hours: 36 lecture
Just in time support option covering the core prerequisite skills, competencies, and concepts for Business Calculus. Intended for students who are concurrently enrolled in MATH 42. Topics include numeracy; computational skills; the vocabulary of algebra; simplification, manipulation and evaluation of expressions and functions; solving and graphing linear equations and inequalities in one and two variables; solving and graphing systems of equations in two variables; factoring; algebraic operations on polynomial and rational expressions. Recommended for students taking Math 42 with little or no recent algebra knowledge. (not degree applicable) (pass/no pass grading)
MATH 0584. Math Success-Overcoming Math Anxiety
Unit: 1
Hours: 18 lecture
Designed to assist students to recognize common fears and misconceptions of mathematics and develop personal strategies to overcome math and test anxiety. Specific study skills and strategies are discussed. Individual math learning styles are analyzed. (not degree applicable)
MATH 0812S. Just in Time Support for Math 12 College Algebra
Units: 0
Corequisite: Concurrent enrollment in Math 12
Hours: 36 lecture
Just in time support covering the core prerequisite skills, competencies, and concepts from College Algebra. Intended for students who are concurrently enrolled in Math 12. Topics include competencies from Intermediate Algebra that are needed to understand the basics of College Algebra. (pass/no pass grading) (noncredit)
MATH 0813S. Just in Time Support for Elementary Statistics
Units: 0
Corequisite: Concurrent enrollment in MATH 13
Hours: 36 lecture
Just in time support option covering the core prerequisite skills, competencies, and concepts for Elementary Statistics. Intended for students who are concurrently enrolled in MATH 13. Topics include concepts from arithmetic, pre-algebra, elementary and intermediate algebra, and descriptive statistics that are needed to understand the basics of college-level statistics. Concepts are taught through the context of descriptive data analysis including an introduction to technologies such as Desmos, Excel, Statcrunch, Minitab, SPSS or graphing calculators. Recommended for students taking MATH 13 with little or no recent algebra knowledge. (pass/no pass grading) (noncredit)
MATH 0824S. Just in Time Support for Math 24 Modern Business Mathematics
Units: 0
Formerly known as MATH 824
Corequisite: Concurrent enrollment in Math 24
Hours: 27 lecture
Just in time support option covering the core prerequisite skills, competencies, and concepts for Modern Business Mathematics. Intended for students who are concurrently enrolled in MATH 24. Topics include numeracy; computational skills; the vocabulary of algebra; simplification, manipulation and evaluation of expressions and functions; solving and graphing linear equations and inequalities in one and two variables; solving and graphing systems of equations in two variables; factoring; algebraic operations on polynomial and rational expressions. Recommended for students taking Math 24 with little or no recent algebra knowledge. (noncredit)
MATH 0842S. Just in Time Support for Math 42 Business Calculus
Units: 0
Formerly known as MATH 842
Corequisite: Concurrent enrollment in Math 42
Hours: 36 lecture
Just in time support option covering the core prerequisite skills, competencies, and concepts for Business Calculus. Intended for students who are concurrently enrolled in Math 42. Topics include numeracy; computational skills; the vocabulary of algebra; simplification, manipulation and evaluation of expressions and functions; solving and graphing linear equations and inequalities in one and two variables; solving and graphing systems of equations in two variables; factoring; algebraic operations on polynomial and rational expressions. Recommended for students taking Math 42 with little or no recent algebra knowledge. (noncredit)
