# 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

Grading: Letter

**Prerequisite:** MATH 012

Advisory: ENG 001A

Limitation on enrollment: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

COD GE: C4b CSU GE: B4 IGETC: 2A

**MATH 001B Calculus II 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

Grading: Letter

**Prerequisite:** MATH 001A

Advisory: None

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

Grading: Letter

**Prerequisite:** MATH 001B

Advisory: None

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

Grading: Letter

**Prerequisite:** MATH 001B

Advisory: None

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

Grading: Letter

**Prerequisite:** MATH 001B

Advisory: None

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.

Lecture Hours: 90 Lab Hours: None Repeatable: No

Grading: Letter

**Prerequisite:** MATH 049 or qualifying placement

Advisory: ENG 001A MATH 355A

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. C-ID: MATH 140

Lecture Hours: 54 Lab Hours: 54 Repeatable: No

Grading: Letter

**Prerequisite:** MATH 010 or MATH 012

Advisory: ENG 001A

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

Grading: Letter

**Prerequisite:** MATH 049 or qualifying placement

Advisory: ENG 001A MATH 351

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: 3**

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, 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: 36 Lab Hours: 54 Repeatable: No

Grading: Letter

**Prerequisite:** MATH 045 ENG 001A MATH 061 or MATH 361 or MATH 374

Advisory: None

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

Grading: Letter

**Prerequisite:** MATH 005 or qualifying placement MATH 355A ENG 001A

Advisory: None

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

Grading: Letter

**Prerequisite:** MATH 045 or MATH 049 or qualifying placement

Advisory: ENG 001A MATH 061 or MATH 361

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

Grading: Letter

**Prerequisite:** MATH 045 or MATH 049 or qualifying placement

Advisory: ENG 001A MATH 310

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

Grading: Letter

**Prerequisite:** MATH 012 & CS 007A

Advisory: ENG 001A

Limitation on enrollment: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

COD GE: C4b CSU GE: B4 IGETC: 2A

**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

Grading: Letter

**Prerequisite:** MATH 001B

Advisory: LIS 001

Limitation on enrollment: None

Transfer Status: CSU Degree Applicable: AA/AS

COD GE: None 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

Grading: Letter

**Prerequisite:** MATH 060 or MATH 065

Advisory: ENG 061

Limitation on enrollment: None

Transfer Status: None Degree Applicable: NAA

COD GE: None CSU GE: None IGETC: None

**MATH 061 Math Study Survival Skills Units: 1**

This course aids students in cultivating personal strategies to improve success in math courses. During this course, which may be taken concurrently with or before taking other mathematics courses, students will develop study skills specific for learning mathematics. Students receive a Pass/No Pass grade mark.

Lecture Hours: 18 Lab Hours: None Repeatable: Yes

Grading: Pass/No Pass

**Prerequisite:** None

Advisory: 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

Grading: Pass/No Pass

**Prerequisite:** None

Advisory: None

Limitation on enrollment: None

Transfer Status: None Degree Applicable: NAA

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

Grading: Pass/No Pass

**Prerequisite:** None

Advisory: None

Limitation on enrollment: None

Transfer Status: None Degree Applicable: NONC

COD GE: None CSU GE: None IGETC: None

**MATH 361 Math Study Skills - Noncredit Units: 0**

This course aids students in cultivating personal strategies to improve success in math courses. During this course, which may be taken concurrently with or before taking other mathematics courses, students will develop study skills specific for learning mathematics. Students receive a Pass/No Pass grade mark.

Noncredit Hours: 18 Repeatable: Yes

Grading: Pass/No Pass

**Prerequisite:** None

Advisory: 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

Grading: Pass/No Pass

**Prerequisite:** None

Advisory: 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

Grading: Pass/No Pass

**Prerequisite:** None

Advisory: MATH 370A

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

Grading: Pass/No Pass

**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

Grading: Pass/No Pass

**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

Grading: Pass/No Pass

**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

Grading: Pass/No Pass

**Prerequisite:** None

Advisory: MATH 370C, MATH 370D, & MATH 370E

Limitation on enrollment: None

Transfer Status: None Degree Applicable: NONC

COD GE: None CSU GE: None IGETC: None