Mathematics

School of Mathematics, Science, and Engineering

Dean: Michael Odu, Ph.D.

Department Chair: Karen Cliffe, M.A., Silvia Nadalet, M.A.

School/Department Location: www.swccd.edu/cvlocation

Office: 215A, (619) 482-6344

Map: https://goo.gl/maps/C4E3PnKsdU92

General Description

In today’s highly technological society, the study of mathematics has become increasingly important. Mathematics is a study that provides a foundation for problem solving and logical reasoning skills. It includes arithmetic, algebra, geometry, trigonometry, calculus, statistics, and computer programming, among others. Mathematics is the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions. In addition to college-level mathematics courses (numbered 100 or above) that will meet the lower-division needs of college transfer students, Southwestern College offers developmental courses consisting of arithmetic through intermediate algebra.

Students may opt to take their developmental courses in one of several formats. All formats require students to study and complete assignments outside of class. Traditional lecture sections may include computer-aided instruction or online assignments. Other sections are self-paced and computer-aided, giving students the opportunity to complete more than one course per semester. Hybrid classes meet with an instructor, but with less-frequent campus meetings, and require additional computer-aided instruction outside of class.

Many of the mathematics courses are designated “Requires graphing Calculator” in the class schedule. These classes incorporate hand-held technology into the curriculum. Both traditional and calculator methods of problem solving are taught. Instructors may choose to require or prohibit calculator use on certain assignments. Graphing calculators which perform algebraic manipulation are not permitted in any Southwestern College math course.

Career Options

Many career options are available for the mathematics major, a few of these require an associate degree, most require a bachelor’s degree, and some require a graduate degree. Possible career options include: numerical analyst, teacher, engineering analyst, systems analyst, operations analyst, casualty rater, technical writer, research assistant, statistician, actuary, and computer specialist.

Degree/Certificate Options Major Code
Associate in Arts Degree: Transfer Preparation
Mathematics 01580
Associate in Science Degree: Transfer Preparation
Mathematics (SB 1440) 01585

Consult with a counselor to develop a Student Education Plan (SEP), which lists the courses necessary to achieve your academic goal.

Websites for mathematics majors:
SDSU: www.math.sdsu.edu
UCSD: www.math.ucsd.edu
CSU, San Marcos: www.csusm.edu/math/
Articulation: www.assist.org

Faculty

Martha Carey, M.S.
mcarey@swccd.edu

Karen Cliffe, M.A.
kcliffe@swccd.edu

Philipp Diwa, M.A.
pdiwa@swccd.edu

Richard Fielding, M.S.
rfielding@swccd.edu

Youssef Francis, M.A.
yfrancis@swccd.edu

A.Minerva Garcia, Ph.D.
mgarcia@swccd.edu

Valentina Goldberg, M.A.
vgoldberg@swccd.edu

Peter Herrera, M.A.
pherrera@swccd.edu

Coryna Holcombe, M.S.
cholcombe@swccd.edu

Alexander Juden, M.S.
ajuden@swccd.edu

Romina Lingvall, M.A.
rtehrani@swccd.edu

Andrew Medin, M.A.
amedin@swccd.edu

Myriam Moody, M.A.
mmoody@swccd.edu

Silvia Nadalet, M.A.
snadalet@swccd.edu

Maria Olivas, M.A.
molivas@swccd.edu

Kimberly Puen, M.Ed., M.S.
kpuen@swccd.edu

Nghiep Quan, M.A.
nquan@swccd.edu

Miriam Rasky, M.A.
mrasky@swccd.edu

Bohdanas Rhodehamel, M.A.
brhodehamel@swccd.edu

Zahra Salehpoor, M.S.
zsalehpoor@swccd.edu

Carl Scarbnick, Ph.D.
cscarbnick@swccd.edu

Bruce Smith, M.S.
bsmith@swccd.edu

Val Villegas, M.A.
vvillegas@swccd.edu

MATH 11

HIGH SCHOOL MATH BRIDGE

1 UNIT

Pass/No Pass or Grade is Allowed

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 the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Lecture 4 hours

Offered: ALL

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 the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 35 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

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 40)

MATH 48

DEVELOPMENTAL MATHEMATICS

3 UNITS

Pass/No Pass Only

Recommended Preparation: RDG 56 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Lecture 3 hours

Offered: ALL

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

4 UNITS

Pass/No Pass Only

Recommended Preparation: RDG 56 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 35 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 4 hours

Offered: ALL

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. This sequence of courses is intended for students that are not planning to major in a science, technology, engineering, or mathematics-related discipline. (Not equivalent to Math 45) [ND]

MATH 60

INTERMEDIATE ALGEBRA I

4 UNITS

Pass/No Pass or Grade is Allowed

Recommended Preparation: RDG 56 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 45 or MATH 48 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 4 hours

Offered: ALL

Emphasizes intermediate concepts of algebra such as rational numbers, systems of equations in two and three variables, absolute value equations and inequalities, radical expressions, rational exponents, complex numbers, quadratic equations, graphing linear and quadratic functions, and graphing parabolas and circles. Scientific calculator is required. [D] (Formerly: MATH 60PL)

MATH 70

INTERMEDIATE ALGEBRA II

4 UNITS

Pass/No Pass or Grade is Allowed

Recommended Preparation: RDG 56 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 60 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 4 hours

Offered: ALL

Emphasizes application problems, graphing calculator (calculations, matrix methods, graphing), logarithms, and conics. Covers functions (inverse, exponential, logarithmic, radical, rational, quadratic), nonlinear inequalities, polynomial division, equations (quadratic in form, exponential, logarithmic), systems of equations or inequalities, sequences and series. Requires graphing calculator. (Not open to students with credit in MATH 70PL.) [D] (Formerly: MATH 65)

MATH 100

MATHEMATICS FOR GENERAL EDUCATION MAJORS

3 UNITS

Grade Only

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 60 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 3 hours

Offered: ALL

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]

MATH 101

COLLEGE ALGEBRA

3 UNITS

Pass/No Pass or Grade is Allowed

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 70 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 3 hours

Offered: ALL

Functions, relations, theory of equations and inequalities, matrices, binomial theorem, sequences, and series, and curve fitting using the graphing calculator. Emphasis on functions (algebraic and transcendental) and graphing. Graphing calculator is required. 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] (Formerly: MATH 240)

MATH 104

TRIGONOMETRY

3 UNITS

Pass/No Pass or Grade is Allowed

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 70 or equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 3 hours

Offered: ALL

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 DeMoivre's Theorem. Requires graphing calculator. A student can earn a maximum of six units by successfully completing MATH 244 or both 101 and 104. [D; CSU]

MATH 110

MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS I

4 UNITS

Pass/No Pass or Grade is Allowed

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 60 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 4 hours

Offered: ALL

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 the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 110 or equivalent.

Lecture 4 hours

Offered: ALL

Incorporates logical thinking, problem solving, and critical analysis. Includes proportional reasoning, probability, and statistics. Requires the explanation and working knowledge of basic mathematical and geometric concepts and the connections among them. Emphasizes geometric, algebraic, and statistical reasoning and analysis. [D; CSU; UC]

MATH 112

CHILDREN'S MATHEMATICAL THINKING

1 UNIT

Pass/No Pass Only

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Recommended Concurrent Enrollment: MATH 110 (may be taken previously).

Prerequisite: MATH 60 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 1 hour

Offered: ALL

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 56 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 57 or equivalent.

Lecture 4 hours

Offered: ALL

Provides the continuation of 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]

MATH 119

ELEMENTARY STATISTICS

4 UNITS

Grade Only

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 70 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 4 hours

Offered: ALL

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; RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 70 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 4 hours

Offered: ALL

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] (Formerly: MATH 12)

MATH 121

APPLIED CALCULUS I

3 UNITS

Grade Only

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 70 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 3 hours

Offered: ALL

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

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

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

3 UNITS

Pass/No Pass or Grade is Allowed

Fee: $2

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 70 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

Lecture 2 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

3 UNITS

Pass/No Pass or Grade is Allowed

Fee: $2

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 130 or equivalent.

Lecture 2 hours, laboratory 3 hours

Offered: ALL

Introduces the fundamental concepts of data structures and the algorithms that proceed from them. Includes recursion, object-oriented programming, fundamental data structures (including stacks, queues, linked-lists, hash tables, trees, and graphs), and the basics of algorithmic analysis. Examines implementation and analysis of sorting and searching algorithms. [D; CSU; UC; C-ID COMP 132]

MATH 230

COMPUTER ORGANIZATION AND ARCHITECTURE

3 UNITS

Pass/No Pass or Grade is Allowed

Fee: $2

Prerequisite: MATH 130 or equivalent.

Lecture 2 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 250 or equivalent.

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

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

Prerequisite: MATH 70 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

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 DeMoivre's Theorem. Requires a graphing calculator. Students can earn at most 6 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 250

ANALYTIC GEOMETRY AND CALCULUS I

5 UNITS

Grade Only

Prerequisite: MATH 244 or equivalent; or MATH 101 and 104 or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent.

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]

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

Recommended Preparation: RDG 158 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent.

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]

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: ALL

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; 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]