# Mathematics (MATH)

**MATH 11**

**HIGH SCHOOL MATH BRIDGE**

**1 UNIT**

Pass/No Pass Only

Limitation on Enrollment: High school students who are currently taking or have completed Intermediate Algebra or higher-level math courses and who placed into Math 45 (Elementary Algebra) or lower courses on the SWC Math Assessment.

Lecture 1 hour

Offered: ALL

Provides students with the strategies needed to make the transition from basic skills math courses to transferable math courses. [ND]

**MATH 35**

**PRE-ALGEBRA**

**4 UNITS**

Pass/No Pass Only

Recommended Preparation: RDG 56 or equivalent or through the Southwestern College multiple measures placement processes.

Lecture 4 hours

Offered: FALL, SPRING

Provides students with the strategies needed to make the transition from arithmetic to elementary algebra. Includes a review of basic mathematics, operations on real numbers and algebraic expressions, introduction to elementary topics in algebra, topics in geometry, English and metric measurements, and conversions. [ND] (Formerly: MATH 35PL)

**MATH 45**

**ELEMENTARY ALGEBRA**

**4 UNITS**

Pass/No Pass or Grade is Allowed

Recommended Preparation: RDG 56 or equivalent or through the Southwestern College multiple measures placement processes.

Prerequisite: MATH 35 or equivalent or through the Southwestern College multiple measures placement processes.

Lecture 4 hours

Offered: ALL

Emphasizes elementary concepts of algebra, including real numbers, linear equations and inequalities in one variable, graphs of lines and inequalities in two variables, Pythagorean theorem, 2x2 systems, exponents, polynomials, factoring techniques, rational expressions, and applications. (Not open to students with credit in MATH 48). [ND] (Formerly: MATH 45PL)

**MATH 48**

**DEVELOPMENTAL MATHEMATICS**

**3 UNITS**

Pass/No Pass Only

Recommended Preparation: RDG 56 or equivalent or through the Southwestern College multiple measures placement processes.

Lecture 3 hours

Offered: FALL, SPRING

Provides students who have an algebra background with the strategies needed to make the transition from pre-algebra to intermediate algebra. Reviews pre-algebra and emphasizes topics in elementary algebra. (Not open to students with credit in MATH 45). [ND]

**MATH 57**

**STATWAY I**

**5 UNITS**

Pass/No Pass Only

Recommended Preparation: RDG 158 or equivalent or through the Southwestern College multiple measures placement processes.

Lecture 5 hours

Offered: FALL, SPRING

Provides an introduction of probability and statistics along with relevant topics in algebra. Emphasizes real-life applications via collaborative group work. First part of a two-course sequence (with Statway II) intended for students who are not planning to major in a business, science, technology, engineering, or mathematics-related discipline. (Not equivalent to Math 45) [ND; C-ID MATH 110 (with MATH 115)]

**MATH 60**

**INTERMEDIATE ALGEBRA I (FOR LIBERAL ARTS MAJORS)**

**4 UNITS**

Pass/No Pass or Grade is Allowed

Recommended Preparation: MATH 45 or equivalent or through the Southwestern College multiple measures placement processes; RDG 56 or equivalent or through the Southwestern College multiple measures placement processes.

Lecture 4 hours

Offered: ALL

Delivers Intermediate Algebra for Liberal Arts and Allied Health Majors. Investigates rational expressions and equations, systems of equations in two variables, absolute value equations and inequalities, radical expressions and equations, rational exponents, quadratic equations, and graphs of linear and quadratic functions. [D] (Formerly: MATH 60PL)

**MATH 62**

**INTERMEDIATE ALGEBRA II (STEM/BUS)**

**2 UNITS**

Pass/No Pass or Grade is Allowed

Prerequisite: MATH 60 or equivalent or through the Southwestern College multiple measures placement processes.

Lecture 2 hours

Offered: FALL, SPRING

Bridges Intermediate Algebra for STEM and Business Majors. Investigates systems of nonlinear equations, absolute value inequalities, graphs of conic sections, functions including exponential, logarithmic, and piecewise functions. Requires graphing calculator. (Not open to students with credit in MATH 70, MATH 72, or equivalent.) [D]

**MATH 72**

**INTERMEDIATE ALGEBRA I AND II (STEM/BUS)**

**6 UNITS**

Pass/No Pass or Grade is Allowed

Prerequisite: MATH 45 or MATH 48; This requisite may be satisfied through: (1) the Southwestern College placement process or (2) concurrent enrollment in MATH 81 when placement requires additional co-requisite support or (3) completion of a requisite course at SWC or an equivalent course from another accredited institution.

Lecture 6 hours

Offered: ALL

Delivers Intermediate Algebra for STEM and Business Majors. Investigates rational expressions and equations, systems of equations in two and three variables, absolute value equations and inequalities, radical expressions and equations, rational exponents, complex numbers, quadratic equations, graphs of linear and radical functions, parabolas, and circles. Requires graphing calculator. (Not open to students with credit in MATH 62, MATH 70, or equivalent.) [D]

**MATH 81**

**SUPPORT FOR INTERMEDIATE ALGEBRA**

**2 UNITS**

Pass/No Pass Only

Corequisite: MATH 60 or MATH 72.

Lecture 2 hours

Offered: FALL, SPRING

Serves as corequisite support for students enrolled in Intermediate Algebra whose assessment results indicate a need for additional instruction on topics from Elementary Algebra, and for those students who would like additional support. Reviews and reinforces the skills necessary to succeed in Intermediate Algebra. Focuses on numeracy, algebraic expressions, linear equations and functions, support for the core content, and study skills. Provides frequent and intensive instructor feedback and practice. [ND] (Same as: NC 281)

**MATH 82**

**SUPPORT FOR MATHEMATICS (GENERAL EDUCATION)**

**2 UNITS**

Pass/No Pass Only

Corequisite: MATH 100, MATH 110, or MATH 118.

Lecture 2 hours

Offered: FALL, SPRING

Serves as corequisite support for liberal arts majors whose assessment results indicate a need for additional instruction on topics from Elementary and Intermediate Algebra, and for those students who would like additional support. Reviews and reinforces the skills necessary to succeed with introductory college-level mathematics. Focuses on numeracy, algebraic expressions, support for the core content, and study skills. Provides frequent and intensive instructor feedback and practice. [ND] (Same as: NC 282)

**MATH 83**

**SUPPORT FOR COLLEGE ALGEBRA**

**2 UNITS**

Pass/No Pass Only

Corequisite: MATH 101.

Lecture 2 hours

Offered: FALL, SPRING

Serves as corequisite support for students enrolled in College Algebra whose assessment results indicate a need for additional instruction on topics from Elementary and Intermediate Algebra, and for those students who would like additional support. Reviews and reinforces the skills necessary to succeed in College Algebra. Focuses on linear equations and functions, manipulation of algebraic expressions, polynomial operations, support for the core content, and study skills. Provides frequent and intensive instructor feedback and practice. [ND] (Same as: NC 283)

**MATH 84**

**SUPPORT FOR ELEMENTARY STATISTICS**

**2 UNITS**

Pass/No Pass Only

Corequisite: MATH 119.

Lecture 2 hours

Offered: FALL, SPRING

Serves as corequisite support for students enrolled in Elementary Statistics whose assessment results indicate a need for additional instruction on topics from Elementary and Intermediate Algebra, and for those students who would like additional support. Reviews and reinforces the skills necessary to succeed in introductory college-level statistics. Focuses on numeracy, algebraic expressions, support for the core content, and study skills. Provides frequent and intensive instructor feedback and practice. [ND] (Same as: NC 284)

**MATH 85**

**SUPPORT FOR APPLIED CALCULUS**

**2 UNITS**

Pass/No Pass Only

Corequisite: MATH 120 or MATH 121.

Lecture 2 hours

Offered: FALL, SPRING

Serves as corequisite support for students enrolled in an Applied Calculus course whose assessment results indicate a need for additional instruction on topics from Elementary and Intermediate Algebra, and for those students who would like additional support. Reviews and reinforces the skills necessary to succeed in Applied Calculus. Focuses on linear equations and functions, quadratic equations and functions, manipulation of algebraic expressions, polynomial operations, support for the core content, and study skills. Provides frequent and intensive instructor feedback and practice. [ND] (Same as: NC 285)

**MATH 86**

**SUPPORT FOR TRIGONOMETRY**

**2 UNITS**

Pass/No Pass Only

Corequisite: MATH 104.

Lecture 2 hours

Offered: FALL, SPRING

Reviews and reinforces the skills necessary to succeed in Trigonometry. Focuses on right triangle relationships, ratio and proportion, graphing, solutions to linear and quadratic equations, support for the core content, and study skills. Provides frequent and intensive instructor feedback and practice. (Serves as corequisite support for students enrolled in Trigonometry whose assessment results indicate a need for additional instruction on topics from Elementary and Intermediate Algebra, and for those students who would like additional support). [ND] (Same as: NC 286)

**MATH 87**

**SUPPORT FOR CALCULUS**

**2 UNITS**

Pass/No Pass Only

Corequisite: MATH 250.

Lecture 2 hours

Offered: FALL, SPRING

Serves as corequisite support for students enrolled in a Calculus course whose assessment results indicate a need for additional instruction on topics from Elementary and Intermediate Algebra, College Algebra, and Trigonometry, and for those students who would like additional support. Reviews and reinforces the skills necessary to succeed in Calculus. Focuses on linear equations and functions, quadratic equations and functions, manipulation of algebraic expressions, polynomial operations, trigonometric functions, support for the core content, and study skills. Provides frequent and intensive instructor feedback and practice. [ND]

**MATH 100**

**MATHEMATICS FOR GENERAL EDUCATION MAJORS**

**3 UNITS**

Grade Only

Prerequisite: Intermediate algebra proficiency, as determined through the Southwestern College Multiple Measures Process.

Lecture 3 hours

Offered: ALL

[ Placement may require concurrent enrollment in MATH 82 or NC 282, Support for Mathematics (General Education).] Provides a brief survey of the historical development and current application of topics such as set theory, logic, finance, counting methods, probability, and statistics. [D; CSU; UC]

**MATH 101**

**COLLEGE ALGEBRA**

**3 UNITS**

Pass/No Pass or Grade is Allowed

Prerequisite: Intermediate algebra proficiency, as determined through the Southwestern College Multiple Measures Process.

Lecture 3 hours

Offered: ALL

[ Placement may require concurrent enrollment in MATH 83 or NC 283, Support for College Algebra.] Emphasizes functions (algebraic and transcendental), relations, theory of equations and inequalities, matrices, binomial theorem, sequences and series, and curve fitting using the graphing calculator. Requires graphing calculator. A student can earn a maximum of six units for successfully completing MATH 244 or both MATH 101 and 104. (Not open to students with credit in MATH 250 or the equivalent.) [D; CSU; UC]

**MATH 104**

**TRIGONOMETRY**

**3 UNITS**

Pass/No Pass or Grade is Allowed

Prerequisite: Intermediate algebra proficiency, as determined through the Southwestern College Multiple Measures Process.

Lecture 3 hours

Offered: ALL

[ Placement may require concurrent enrollment in MATH 86 or NC 286, Support for Trigonometry.] Emphasizes graphic and numerical applications of trigonometry, circular and inverse trigonometric functions, proving and applying identities, solutions and practical applications of right and oblique triangles, and applications of De Moivre's Theorem. Requires graphing calculator. A student can earn a maximum of six units by successfully completing MATH 244 or both MATH 101 and 104. [D; CSU]

**MATH 110**

**MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS I**

**4 UNITS**

Pass/No Pass or Grade is Allowed

Lecture 4 hours

Offered: ALL

[ Placement may require concurrent enrollment in MATH 82 or NC 282, Support for Mathematics (General Education).] Emphasizes mathematical concepts for those teaching or planning to teach grades K-8. Includes problem solving, sets, logic, numeration systems, whole, integer, rational and real numbers, number sense, estimation, mental arithmetic, operation concepts, algorithms, ratio, number theory, and appropriate use of technology in the classroom. [D; CSU; UC]

**MATH 111**

**MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II**

**4 UNITS**

Pass/No Pass or Grade is Allowed

Recommended Preparation: RDG 158 or equivalent or through the Southwestern College multiple measures placement processes.

Prerequisite: MATH 110 or equivalent.

Lecture 4 hours

Offered: FALL, SPRING

Emphasizes mathematical concepts for those teaching or planning to teach grades K -8. Includes two and three dimensional shapes and interrelationships, congruence, similarity and proportional reasoning, measurement of length, angle size, area, volume, metric system, problem solving, and appropriate use of technology in the classroom. [D; CSU; UC]

**MATH 112**

**CHILDREN'S MATHEMATICAL THINKING**

**1 UNIT**

Pass/No Pass Only

Corequisite: MATH 110 (may be taken previously).

Lecture 1 hour

Offered: FALL, SPRING

Assists students in undertaking an in-depth analysis of children's understanding of operations, place values, and fractions. Helps students understand how children approach mathematics and how children best learn mathematics. Designed for elementary education majors. [D; CSU]

**MATH 115**

**STATWAY II**

**4 UNITS**

Grade Only

Recommended Preparation: RDG 158 or equivalent or through the Southwestern College multiple measures placement processes.

Prerequisite: MATH 57 or equivalent.

Lecture 4 hours

Offered: FALL, SPRING

Provides the continuation of the concepts introduced in Statway I of probability and statistics along with relevant topics in algebra. Emphasizes real-life applications via collaborative group work. This course is not intended for students planning to major in a science, technology, engineering, or mathematics-related discipline. (Not equivalent to Math 119) [D; CSU; UC; C-ID MATH 110 (with MATH 57)]

**MATH 118**

**FINITE MATHEMATICS**

**3 UNITS**

Pass/No Pass or Grade is Allowed

Lecture 3 hours

Offered: ALL

[ Placement may require concurrent enrollment in MATH 82 or NC 282, Support for Mathematics (General Education).] Provides a survey of topics in mathematics, emphasizing the deductive process and practical applications. Includes linear functions, systems of linear equations and inequalities, matrices, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques, and an introduction to probability. Applications in business, economics, and social sciences. [D; CSU; UC]

**MATH 119**

**ELEMENTARY STATISTICS**

**4 UNITS**

Grade Only

Lecture 4 hours

Offered: ALL

[ Placement may require concurrent enrollment in MATH 84 or NC 284, Support for Statistics.] Emphasizes probability techniques, hypothesis testing, and predictive techniques to facilitate decision-making. Addresses descriptive statistics, probability, sampling distributions, statistical inference, correlation, linear regression, ANOVA, chi-square tests, t-tests, and use of technology for statistical analysis including interpretation of the relevance of statistical findings. Includes applications from various disciplines. [D; CSU; UC; C-ID MATH 110]

**MATH 120**

**CALCULUS FOR BUSINESS ANALYSIS**

**4 UNITS**

Grade Only

Recommended Preparation: ACCT 101 or equivalent.

Lecture 4 hours

Offered: ALL

[ Placement may require concurrent enrollment in MATH 85 or NC 285, Support for Applied Calculus. ] Emphasizes matrix algebra, differential and integral calculus, graphing and optimization, and exponential and logarithmic functions. Includes applications to business. Requires graphing calculator. (Not open to students with credit in MATH 122, 250, or equivalent.) [D; CSU; UC; C-ID MATH 140]

**MATH 121**

**APPLIED CALCULUS I**

**3 UNITS**

Grade Only

Lecture 3 hours

Offered: ALL

[ Placement may require concurrent enrollment in MATH 85 or NC 285, Support for Applied Calculus.] Presents a study of the techniques of differential calculus with emphasis placed on the application of these concepts to the physical, biological, and social sciences. Provides applications of derivatives of functions including polynomials, rational, exponential, and logarithmic functions. Requires graphing calculator. (Not open to students with credit in MATH 250 or equivalent.) [D; CSU; UC]

**MATH 122**

**APPLIED CALCULUS II**

**3 UNITS**

Grade Only

Prerequisite: MATH 121 or equivalent.

Lecture 3 hours

Offered: ALL

Continues the study of differential and integral calculus, with emphasis on polynomial, rational, radical, logarithmic, exponential, and trigonometric functions, techniques of integration, multi-variable calculus, and applications. Graphing calculator is required. (Not open to students with credit in MATH 251 or equivalent.) [D; CSU; UC]

**MATH 130**

**INTRODUCTION TO COMPUTER PROGRAMMING**

**4 UNITS**

Pass/No Pass or Grade is Allowed

Fee: $2

Lecture 3 hours, laboratory 3 hours

Offered: ALL

Uses Java to introduce object-oriented programming and software engineering with an emphasis on applications in science, engineering and mathematics. Introduces classes, methods, parameters, control structures, and basic inheritance. Emphasizes use of modularity, abstraction, documentation, testing, and verification techniques. [D; CSU; UC; C-ID COMP 122]

**MATH 140**

**DATA STRUCTURES AND ALGORITHMS**

**4 UNITS**

Pass/No Pass or Grade is Allowed

Fee: $2

Prerequisite: MATH 130 or equivalent.

Lecture 3 hours, laboratory 3 hours

Offered: ALL

Introduces the fundamental concepts of computational data structures and algorithms. Includes recursion, builds on object-oriented programming ideas, introduces fundamental data structures (including stacks, queues, linked-lists, heaps, priority queues, hash tables, trees, and an introduction to graphs), and the basics of algorithm analysis. Examines implementation and analysis of sorting and searching algorithms. [D; CSU; UC; C-ID COMP 132]

**MATH 230**

**COMPUTER ORGANIZATION AND ARCHITECTURE**

**4 UNITS**

Pass/No Pass or Grade is Allowed

Fee: $2

Prerequisite: MATH 130 or equivalent.

Lecture 3 hours, laboratory 3 hours

Offered: ALL

Provides basic concepts of computer organization and architecture, machine language principles, computer memory organization, Input and Output (I/O) fundamentals, and elements of computer logic design. Emphasizes tradeoffs involved in fundamental architectural design decisions. [D; CSU; UC; C-ID COMP 142]

**MATH 241J**

**WRITING GAMES WITH THE JAVA PROGRAMMING LANGUAGE**

**1 UNIT**

Pass/No Pass or Grade is Allowed

Prerequisite: MATH 130 or equivalent.

Lecture 1 hour

Offered: ALL

Provides an introduction to game development for mobile and desktop devices. [D; CSU]

**MATH 241M**

**MATH SOFTWARE WORKSHOP USING MATLAB**

**1 UNIT**

Pass/No Pass or Grade is Allowed

Prerequisite: MATH 121 or MATH 250 or equivalent or through the Southwestern College multiple measures placement processes.

Lecture 1 hour

Offered: ALL

Focuses on an introduction to mathematical software using MATLAB with a particular emphasis on problems from engineering and the sciences. Serves as a companion course for the linear algebra class or the differential equations class. [D; CSU]

**MATH 241P**

**PYTHON PROGRAMMING**

**1 UNIT**

Pass/No Pass or Grade is Allowed

Prerequisite: MATH 130 or equivalent.

Lecture 1 hour

Offered: ALL

Introduces the Python programming language with an emphasis on scientific applications. [D; CSU]

**MATH 241T**

**UNIT TESTING**

**1 UNIT**

Pass/No Pass or Grade is Allowed

Prerequisite: MATH 130 or equivalent.

Lecture 1 hour

Offered: ALL

Provides modern methods for verifying the accuracy and reliability of a computer program. [D; CSU]

**MATH 244**

**PRE-CALCULUS WITH TRIGONOMETRY**

**6 UNITS**

Pass/No Pass or Grade is Allowed

Lecture 6 hours

Offered: ALL

Covers functions, equations, inequalities, matrices, binomial theorem, sequences, series, and curve fitting. Emphasizes functions and graphing. Includes graphic and numerical applications of trigonometry, circular and inverse functions, proving and applying identities, solutions and practical applications of right and oblique triangles, and application of De Moivre's Theorem. Requires a graphing calculator. Students can earn at most 6 units for successfully completing MATH 244 or both MATH 101 and MATH 104. (Not open to students with credit in MATH 250 or the equivalent.) [D; CSU; UC]

**MATH 250**

**ANALYTIC GEOMETRY AND CALCULUS I**

**5 UNITS**

Grade Only

Prerequisite: MATH 244, MATH 101 and MATH 104, or equivalent or through the Southwestern College multiple measures placement processes.

Lecture 5 hours

Offered: ALL

Covers analytic geometry, functions, limits, derivatives of algebraic and trigonometric functions, applications of the derivative, integration, applications of the definite integral, and transcendental functions. Graphing calculator is required. [D; CSU; UC; C-ID MATH 211]

**MATH 251**

**ANALYTIC GEOMETRY AND CALCULUS II**

**4 UNITS**

Grade Only

Prerequisite: MATH 250 or equivalent.

Lecture 4 hours

Offered: ALL

Covers techniques and applications of integration. Includes inverse trigonometric and hyperbolic functions, curves in parametric form, polar coordinates, and infinite sequences and series. Includes separable differential equations, L'Hopital's Rule, and indeterminate forms. Graphing calculator is required. [D; CSU; UC; C-ID MATH 221]

**MATH 252**

**ANALYTIC GEOMETRY AND CALCULUS III**

**4 UNITS**

Grade Only

Prerequisite: MATH 251 or equivalent.

Lecture 4 hours

Offered: ALL

Covers analytic geometry, vectors, and vector-valued functions. Includes functions of several variables; vector calculus; surfaces and surface integrals; partial derivatives; multiple integrals; line integrals; and Green's, Stokes', and divergence theorems. Requires graphing calculator. [D; CSU; UC; C-ID MATH 230]

**MATH 253**

**INTRODUCTION TO DIFFERENTIAL EQUATIONS**

**3 UNITS**

Pass/No Pass or Grade is Allowed

Prerequisite: MATH 251 or equivalent.

Lecture 3 hours

Offered: ALL

Introduces the theory, techniques and applications of ordinary differential equations. Includes first and second order ODEs, reduction of order, variation of parameters, undetermined coefficients, series solutions, linear systems of first-order equations and eigenvalues, linear independence, and Laplace transforms. Requires graphing calculator. [D; CSU; UC; C-ID MATH 240]

**MATH 254**

**INTRODUCTION TO LINEAR ALGEBRA**

**3 UNITS**

Pass/No Pass or Grade is Allowed

Prerequisite: MATH 251 or equivalent.

Lecture 3 hours

Offered: FALL, SPRING

Introduces linear algebra including solving of linear systems, matrix algebra, Gaussian elimination, determinants and their properties, vector spaces, inner product spaces, linear transformations, orthogonality, eigenvalues and eigenvectors. Requires a scientific calculator with graphing capacity. [D; CSU; UC; C-ID MATH 250]

**MATH 260**

**DISCRETE MATHEMATICS**

**3 UNITS**

Pass/No Pass or Grade is Allowed

Prerequisite: MATH 122 or 251 or equivalent.

Lecture 3 hours

Offered: ALL

Emphasizes logic, methods of proof, set theory, number theory, equivalence and order relations, counting (combinations and permutations), and solving recurrence relations. Provides topics for proofs coming from discrete math concepts that predominate throughout many areas of mathematics and computer science. [D; CSU; UC]

**MATH 265**

**DISCRETE STRUCTURES**

**3 UNITS**

Grade Only

Prerequisite: MATH 122 or MATH 251 or equivalent; MATH 130 or equivalent.

Lecture 3 hours

Offered: ALL

Introduces discrete structures used in Computer Science with an emphasis on their applications, including programming. Covers topics such as Functions; Relations and Sets; Basic Logic; Proof Techniques; Basics of Counting; Graphs and Trees; and Discrete Probability. [D; CSU; UC; C-ID COMP 152]

**MATH 299**

**INDEPENDENT STUDY**

**1-3 UNITS**

Pass/No Pass or Grade is Allowed

Limitation on Enrollment: Eligibility for independent study.

Lecture 3 hours

Offered: ALL

Independent study or research in some area of the mathematical sciences of particular interest to the student and not included in regular courses of the college. [D; CSU]