# Mathematics (MATH)

MATH 001A  Calculus   Units: 4

This course is a study of the meaning, computation and analysis of the derivative with an introduction to the integral. Topics include the definitions and analysis of limits, continuity, and differentiability; methods for differentiating polynomial, rational, exponential, logarithmic and trigonometric functions, together with functions represented numerically and graphically; applications of the derivative; and an introduction to the integral. (C-ID MATH 210)
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 012
Limitation on enrollment: None
Transfer Status: CSU/UC                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 001B  Calculus   Units: 4

This course is a study of the meaning, methods and applications of integration and infinite series. Topics include the definition of the definite integral, the Fundamental Theorem of Calculus, techniques of integration, applications of integration, first order separable differential equations, modeling exponential growth and decay, infinite series and approximation of functions using Taylor series with remainder. (C-ID MATH 220)
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 001A
Limitation on enrollment: None
Transfer Status: CSU/UC                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 002A  Multivariate Calculus   Units: 4

This course extends the concepts of differentiation and integration introduced in the first two semesters of calculus to functions of several variables. Topics include solid Euclidean geometry, vector algebra in 3 dimensions, line and surface integrals, multiple integration in rectangular, cylindrical and spherical coordinates, extreme values, parameterized space curves and surfaces, divergence, directional derivatives, gradients, Gauss', Green's and Stokes' theorems. (C-ID MATH 230)
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 001B
Limitation on enrollment: None
Transfer Status: CSU/UC                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 002B  Linear Algebra   Units: 4

This course is a standard introductory course in linear algebra. Topics include vectors in Rn, matrices and systems of linear equations, determinants, vector spaces, linear independence, linear transformations, eigenvalues, eigenvectors, and diagonalization of certain quadratic forms. (C-ID MATH 250)
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 001B
Limitation on enrollment: None
Transfer Status: CSU/UC                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 002C  Ordinary Differential Equations   Units: 4

This is a standard introductory course in differential equations and their applications in modeling dynamic phenomena. Topics include first, second and higher order differential equations; systems of first order equations, linear, homogeneous and nonhomogeneous differential equations; solutions by power series; numerical methods, LaPlace transforms; and applications. (C-ID MATH 240)
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 001B
Limitation on enrollment: None
Transfer Status: CSU/UC                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 005  Trigonometry   Units: 5

This course is the first of a two semester sequence preparing students for calculus. In this course, students will study functions with an emphasis on the trigonometric functions along with topics in analytic geometry. Topics will include a review of plane and coordinate geometry, functions including function notation, transformations and inverses, definitions and graphs of the trigonometric functions, modeling periodic behavior, solving triangle problems with the Law of Sines and Cosines, the conic sections, parametric equations and vectors. Note: All students now can enroll in this transfer-level course without completing posted requisites. Please refer to AB 705 (under How do I enroll in courses at COD?) or see a Counselor.
Lecture Hours: 90         Lab Hours: None          Repeatable: No
Prerequisite: MATH 040 or MATH 049
Advisory: ENG 061 & MATH 030
Limitation on enrollment: None
Transfer Status: CSU                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: None

MATH 009  Business Calculus   Units: 4

Presents a study of the techniques of calculus with emphasis placed on the application of these concepts to business and management-related problems. The applications of derivatives and integrals of functions including polynomials, rational, exponential and logarithmic functions are studied. Students in STEM majors are advised to take MATH 001A and MATH 001B instead.
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 010 or MATH 012
Limitation on enrollment: None
Transfer Status: CSU/UC*                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 010  College Algebra   Units: 4

This is a function oriented course that includes an examination of the general concept of a function and function notation, as well as an in depth investigation of polynomial, rational, exponential, and logarithmic functions, particularly their equations, graphs, and behavior. Other topics include the binomial theorem, conic sections, and matrices as they apply to systems of linear equations. (C-ID MATH 150) Note: All students now can enroll in this transfer-level course without completing posted requisites. Please refer to AB 705 (under How do I enroll in courses at COD?) or see a Counselor.
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 040 or MATH 049
Limitation on enrollment: None
Transfer Status: CSU/UC*                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 011  Math Concepts for Elementary School Teachers - Number Systems   Units: 4

This course covers mathematical topics needed for elementary school teaching with a focus on quantitative reasoning, problem solving and communication. Topics include structure of the real number system, sets, numeration systems, computation algorithms, problem solving strategies, and elementary number theory. The course meets requirements for elementary school teacher certification. (C-ID MATH 120) Note: All students now can enroll in this transfer-level course without completing posted requisites. Please refer to AB 705 (under How do I enroll in courses at COD?) or see a Counselor.
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 45 or MATH 040 or completion of two years of High School Algebra
Advisory: MATH 030 or one year High School Geometry, ENG,061, & RDG 061
Limitation on enrollment: None
Transfer Status: CSU/UC                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: None

MATH 012  Pre-calculus   Units: 5

This course is the second in a two-semester sequence preparing students for Calculus. In this course, students will extend the concept of a function to polynomial, rational, exponential and logarithmic functions as well as studying analytic trigonometry. Topics include recognizing, graphing and solving equations and word problems involving polynomial, rational, exponential and logarithmic functions, trigonometric identities, inverse trigonometric functions, and solving trigonometric equations.
Lecture Hours: 90         Lab Hours: None          Repeatable: No
Prerequisite: MATH 005
Limitation on enrollment: None
Transfer Status: CSU/UC*                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 013  Liberal Arts Math   Units: 4

This course is designed for social science and liberal arts majors. It emphasizes applications of mathematics in the areas of management science, probability and statistics, social choice and decision making, game theory, and consumer finance. Topics include sets, logic & counting, probability, linear systems and linear programming, scheduling, statistics, mathematics of finance and other applications for liberal arts majors. Note: All students now can enroll in this transfer-level course without completing posted requisites. Please refer to AB 705 (under How do I enroll in courses at COD?) or see a Counselor.
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 045 or MATH 049
Advisory: ENG 061 & RDG 061
Limitation on enrollment: None
Transfer Status: CSU/UC                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 014  Statistical Methods   Units: 4

This course is an introduction to descriptive and inferential statistics; how to use measures of central tendency and dispersion among population samples to draw inferences about a population and to compare two or more populations. Discrete and continuous probability density distributions are analyzed including the binomial, normal, Student-t, chi-squared, and F-distributions. Confidence intervals for population means, proportions and variance are set. Additional topics include regression and correlation analysis and techniques of hypothesis testing, including ANOVA, and use of calculator and software applications. (C-ID MATH 110) Note: All students now can enroll in this transfer-level course without completing posted requisites. Please refer to AB 705 (under How do I enroll in courses at COD?) or see a Counselor.
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 040 or MATH 045
Advisory: ENG 061 & RDG 061
Limitation on enrollment: None
Transfer Status: CSU/UC*                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 015  Discrete Mathematics for Computers   Units: 4

This course is an introduction to discrete mathematics and its applications for computer science students. Topics to be covered include logic and sets, methods of proof, relations and functions, combinatorics, probabilities, graph and tree theory, recurrence relations, Boolean algebra, algorithms, and finite-state machines. (C-ID COMP 152)
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 012 & CS 007A
Limitation on enrollment: None
Transfer Status: CSU/UC                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: B4                 IGETC: 2A

MATH 016  Finite Mathematics   Units: 3

This course covers linear functions, systems of linear equations, matrices, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques and and introduction to probability as well as applications from business, economics, social science, and personal finance. This course is transferable (C-ID Math 130) and satisfies the math general education requirement and is an excellent course for students who don't need any additional math courses for their degree.
Lecture Hours: 54         Lab Hours: None          Repeatable: No
Prerequisite: MATH 040 or MATH 049 or MATH 045
Limitation on enrollment: None
Transfer Status: CSU                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: None                 IGETC: None

MATH 030  Plane Geometry   Units: 3

This course examines fundamentals of plane geometry, including topics in solid and coordinate geometry, developed by both inductive and deductive processes. This course is offered in the Fall semester.
Lecture Hours: 54         Lab Hours: None          Repeatable: No
Prerequisite: MATH 054
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NAA
COD GE: None                 CSU GE: None                 IGETC: None

MATH 031  Undergraduate Research Experience   Units: 2

Under the supervision of STEM faculty, students will select a project to be completed during the semester. Topics will include information retrieval, computer skills applied to laboratory research, time management and organizational skills, application of modern research methods, experimental design, data collection and analysis, presentation skills (written and oral), and applying for summer internship opportunities. This course is intended for students pursuing a STEM degree and who have completed a minimum of 35 college level units.
Lecture Hours: 18         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 001B
Limitation on enrollment: None
Transfer Status: CSU                 Degree Applicable: AA/AS
COD GE: None                 CSU GE: None                 IGETC: None

MATH 044  College Geometry   Units: 4

This course includes fundamentals of plane geometry, including topics in coordinate geometry, developed by both inductive and deductive processes.
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 054
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: AA/AS
COD GE: None                 CSU GE: None                 IGETC: None

MATH 045  Pre-Statistics   Units: 4

This course focuses on solving problems using linear, exponential, and other models with an introduction to the concept of a function. Topics include solving and graphing linear and exponential functions, systems of linear equations and inequalities, evaluating rational exponential functions, evaluating and solving root functions and equations, evaluating multivariate functions, creating and analyzing a variety of tables and diagrams, and applications to social sciences and financial mathematics. This course satisfies the Math Competency for an Associate Degree.
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 054
Advisory: ENG 061 & RDG 061
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: None                 IGETC: None

MATH 049  Intermediate Algebra   Units: 4

This course focuses on solving problems using linear, quadratic and exponential models with an introduction to the concept of a function in preparation for the STEM pathway. Topics include solving and graphing linear, quadratic and exponential equations, systems of linear equations, rational exponents, root equations, quadratic inequalities, circles and applications. This course satisfies the Math Competency for an Associate Degree.
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 054
Advisory: ENG 061 & RDG 061
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: AA/AS
COD GE: C4b                 CSU GE: None                 IGETC: None

MATH 054  Beginning Algebra   Units: 4

This course is an introduction to the real number system and to the use of variable expressions and equations in problem solving. Topics include properties of the real numbers, square roots, arithmetic of variable expressions including polynomials and algebraic fractions, solving linear equations and inequalities in one variable, factoring, and an introduction to the Cartesian coordinate system and the equations and graphs of linear equations in two variables. Also, the proper use of math notation is emphasized along with an introduction to Pythagorean Theorem and basic geometric formulas, some dimensional analysis with modeling applications is included.
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: MATH 060 or MATH 065
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NAA
COD GE: None                 CSU GE: None                 IGETC: None

MATH 060  A Preparation for the Study of Algebra   Units: 3

This is a course in the elementary operations required for algebra. Topics include adding, subtracting, multiplying, and dividing whole numbers, decimals, and fractions with an introduction to the concept and uses of variables. Other topics include arithmetic with signed numbers, percents, ratios and proportions, the metric and American system of measurement, including the conversion of units, simplifying algebraic expressions and elementary geometry concepts such as perimeter, area, and volume.
Lecture Hours: 45         Lab Hours: 27          Repeatable: No
Prerequisite: MATH 070
Advisory: ENG 061 & RDG 061
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NAA
COD GE: None                 CSU GE: None                 IGETC: None

MATH 065  A Preparation for the Study of Algebra   Units: 4

This is a course in the elementary operations required for algebra. Topics include adding, subtracting, multiplying, and dividing integer numbers, decimals, fractions and mixed numbers with an introduction to the concept and uses of variables. Other topics include arithmetic with percents, ratios, rates and proportions, the metric and American system of measurement, including the conversion of units, simplifying algebraic expressions and elementary geometry concepts such as perimeter, area, and volume.
Lecture Hours: 54         Lab Hours: 54          Repeatable: No
Prerequisite: None
Advisory: ENG 061 & RDG 061
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NAA
COD GE: None                 CSU GE: None                 IGETC: None

MATH 070  Arithmetic   Units: 2

This is a course in the basic operations of arithmetic. Topics include adding, subtracting, multiplying, and dividing rational numbers, with an emphasis on whole numbers, integers, and rational numbers written in fraction form. Additional emphasis includes memorization of the basic number facts.
Lecture Hours: 27         Lab Hours: 27          Repeatable: No
Prerequisite: None
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NAA
COD GE: None                 CSU GE: None                 IGETC: None

MATH 071  MESA CCCP Orientation   Units: 1

This course assists students in acquiring the knowledge and skills necessary to reach their educational objectives in engineering, mathematics, and science-related fields. Topics include career decisions and strategies, educational and personal enrichment, study skills and habits, time management, academic preparation, and success in college. Field trips may be required.
Lecture Hours: 18         Lab Hours: None          Repeatable: No
Prerequisite: None
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NAA
COD GE: None                 CSU GE: None                 IGETC: None

MATH 095A  Math Work Experience   Units: 1-6

This work experience course of supervised employment assists students in acquiring desirable work habits, attitudes, and skills to enable them to become productive employees. This course also provides students with career awareness for jobs. Credit may be accrued at the rate of one to six units per semester for a maximum of sixteen units (for a combined total of all Work Experience units). Additionally, students must work 75 paid hours or 60 non-paid hours per unit earned. This type of work experience is available to students whose job and education or occupational goals are directly related to Math.
Lecture Hours: None         Lab Hours: 450          Repeatable: Yes
Prerequisite: None
Limitation on enrollment: None
Transfer Status: CSU                 Degree Applicable: AA/AS
COD GE: None                 CSU GE: None                 IGETC: None

MATH 300  Math Edge   Units: 0

Students taking this course will review mathematical concepts and skills necessary for success in mathematics courses required for their general education and/or degree(s). They will also learn about the mathematics courses College of the Desert offers to help inform their future decisions. Students will also be guided in their transition from high school to college mathematics.
Noncredit Hours: 36                                        Repeatable: Yes
Prerequisite: None
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NONC
COD GE: None                 CSU GE: None                 IGETC: None

MATH 370A  Arithmetic of Whole Numbers-Module 1   Units: 0

This is a course in basic operations of arithmetic of whole numbers. Topics include the definition of whole numbers; adding and subtracting whole numbers; writing whole numbers in standard and expanded notation; and applications of adding and subtracting whole numbers.
Noncredit Hours: 18                                        Repeatable: Yes
Prerequisite: None
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NONC
COD GE: None                 CSU GE: None                 IGETC: None

MATH 370B  Arithmetic of Whole Numbers-Module 2   Units: 0

This is a course in basic operations of arithmetic of whole numbers. Topics include the definitions of prime and composite numbers; multiplying and dividing whole numbers; factoring whole numbers into products of prime numbers; finding the quotient and remainder in a division problem; and applications of operations with whole numbers. Additional emphasis includes basic whole number facts, such as multiplication tables, divisibility criteria, and the order of operations on whole numbers.
Noncredit Hours: 18                                        Repeatable: Yes
Prerequisite: None
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NONC
COD GE: None                 CSU GE: None                 IGETC: None

MATH 370C  Arithmetic of Integers-Module 1   Units: 0

This is a course in basic operations of arithmetic of integers. Topics include the definition of integers; adding and subtracting integers; graphing integers on the real number line; using absolute value to calculate distance between two integers; and applications of integers and their sums and differences.
Noncredit Hours: 18                                        Repeatable: Yes
Prerequisite: None
Advisory: MATH 370A & MATH 370B
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NONC
COD GE: None                 CSU GE: None                 IGETC: None

MATH 370D  Arithmetic of Integers-Module 2   Units: 0

This is a course in basic operations of arithmetic of integers. Topics include multiplying and dividing integers; graphing integers on the real number line; exponents; the order of operations; and applications of integers and their products and quotients.
Noncredit Hours: 18                                        Repeatable: Yes
Prerequisite: None
Advisory: MATH 370A, MATH 370B, & MATH 370C
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NONC
COD GE: None                 CSU GE: None                 IGETC: None

MATH 370E  Arithmetic of Rational Numbers-Module 1   Units: 0

This is a course in basic arithmetic of rational numbers. Topics include the definitions of rational numbers and proper and improper fractions; multiplying and dividing rational numbers; simplifying rational numbers using prime factorization; writing equivalent fractions with different denominators; and applying rational numbers to real life situations. Additional emphasis includes natural number exponents with rational number bases.
Noncredit Hours: 18                                        Repeatable: Yes
Prerequisite: None
Advisory: MATH 370B, MATH 370C & MATH 370D
Limitation on enrollment: None
Transfer Status: None                 Degree Applicable: NONC
COD GE: None                 CSU GE: None                 IGETC: None

MATH 370F  Arithmetic of Rational Numbers-Module 2   Units: 0

This is a course in basic arithmetic of rational numbers. Topics include the definition of mixed numbers; adding and subtracting fractions with common denominators; converting between mixed numbers and improper fractions; graphing rational numbers on the real number line; finding the least common denominators of two or more fractions using prime factorization; adding and subtracting fractions with different denominators; and applications of rational numbers. Additional emphasis includes the order of operations on rational numbers and natural number exponents with mixed number bases.
Noncredit Hours: 18                                        Repeatable: Yes