# Sequence of Mathematics Courses

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1 Sequence of ematics Courses Where do I begin? Associates Degree and Non-transferable Courses (For math course below pre-algebra, see the Learning Skills section of the catalog) MATH M09 PRE-ALGEBRA 3 UNITS OR MATH M09A, B & C PRE-ALGEBRA 1 UNIT MODULES Pre-algebra level Two semesters per level One semester per level Two courses with the same textbook MATH M01A MATH M01 MATH M04A Elementary algebra level MATH M01B MATH M03A MATH M03 MATH M04B Intermediate algebra level MATH M03B Transfer level math classes - See the next page Course Listing 214

2 Transferable Courses cannot enroll in transferable courses unless they have a C or preparation, students should consult with a counselor to ensure they select the course that will best prepare them for the program they wish to transfer to. MATH M07 COLLEGE TRIGONOMETRY MATH M05 COLLEGE MATH M06 TRIGONOMETRY (CSU ONLY) MATH M10 MATH ELEM. TEACHERS MATH M16A APPLIED CALCULUS I MATH M13 MATHEMATICAL IDEAS MATH M14 MATH M15 INTRODUCTION STATISTICS MATH M25A GEOMETRY I MATH M16B APPLIED CALCULUS II MATH M21 DISCRETE MATHEMATICS MATH M25B GEOMETRY II MATH M25C GEOMETRY III MATH M31 INTRODUCTION MATH M35 EQUATIONS 215 Course Listing

3 ematics Courses MATH M01 5 Units Elementary Algebra Prerequisites: MATH M09 or MATH M09A and MATH M09B and MATH M09C or 1 year of high school pre-algebra with grade of C or better Briefly reviews arithmetic, including integers, fractions and decimals. Covers linear equations and inequalities, graphing, systems of linear equations, polynomials, rational expressions, and equations. Also covers square roots and radical expressions, quadratic equations and the quadratic formula. MATH M01 is equivalent to MATH M01A and MATH M01B. Unit credit may be received for either MATH M01 or MATH M01A and MATH M01B, but not both. Students receiving credit in MATH M01 will not receive credit for MATH M04A. Applies to MATH M01A 3 Units Elementary Algebra Part A Prerequisites: MATH M09 or MATH M09A and MATH M09B and MATH M09C or 1 year of high school pre-algebra with grade of C or better Briefly reviews arithmetic, including integers, fractions, and decimals. Covers linear equations and inequalities, graphing, and systems of linear equations. This course is the first part of a two-semester course sequence: MATH M01A and MATH M01B. Completion of both courses is equivalent to MATH M01. Unit credit may be received for either MATH M01 or MATH M01A and MATH M01B, but not both. Students receiving credit in MATH M01A and MATH M01B will not receive credit for MATH M04A. Applies to MATH M01B 3 Units Elementary Algebra Part B Recommended Prep: MATH M01A Covers polynomials, rational expressions, and integer exponents. Also includes square roots and radical expressions, and quadratic equations and the quadratic formula. This course is the second part of a two-semester course sequence: MATH M01A and MATH M01B. Completion of both courses is equivalent to MATH M01. Unit credit may be received for either MATH M01 or MATH M01A and MATH M01B, not both. Students receiving credit in MATH M01A and MATH M01B will not receive credit for MATH M04A. Applies to MATH M02 3 Units Fundamentals of Geometry Prerequisites: MATH M01 Recommended Prep: MATH M03 may be taken concurrently Concentrates on definitions and properties of lines, segments, planes, rays, angles, triangles, circles and polygons, congruence and similarity of triangles, coordinate systems, areas, volumes, space geometry, triangle trigonometry and methods of proof. Does NOT apply to MATH M03 5 Units Intermediate Algebra Prerequisites: MATH M01 or MATH M01B or MATH M04A or 1 year of high school beginning algebra with grade of C or better Reviews linear equations and inequalities, graphing, factoring, and rational expressions. Covers systems of three linear equations, rational functions, complex fractions, rational exponents and radicals, complex numbers, quadratic equations, graphs of parabolas, functions, composition and inverse functions, exponential and logarithmic functions, and introduces the conic sections. MATH M03 is equivalent to MATH M03A and MATH M03B. Unit credit may be received for either MATH M03 or MATH M03A and MATH M03B, but not both. Students receiving credit in MATH M03 will not receive credit for MATH M04B. Applies to MATH M03A 3 Units Intermediate Algebra Part A Prerequisites: MATH M01 or MATH M01B or MATH M04A or 1 year of high school beginning algebra with grade of C or better Reviews linear equations and inequalities, graphing, factoring, and rational expressions. Covers systems of three linear equations, rational functions, complex fractions, and applications. This course is the first part of a twosemester course sequence: MATH M03A and MATH M03B. Completion of both courses is equivalent to MATH M03. Unit credit may be received for either MATH M03 or MATH M03A or MATH M03B, but not both. Students receiving credit in MATH M03A and MATH M03B will not receive credit for MATH M04B. Applies to MATH M03B 3 Units Intermediate Algebra Part B Prerequisites: MATH M03A Covers rational exponents and radicals, complex numbers, quadratic equations, graphs of parabolas, functions, and composition and inverse functions. Also includes exponential and logarithmic functions, and introduces the conic sections. This course is the secone part of a two-semester course sequence: MATH M03A and MATH M03B. Completion of both courses is equivalent to MATH M03. Unit credit may be received for either MATH M03 or MATH M03A or MATH M03B, but not both. Students receiving credit in MATH M03A and MATH M03B will not receive credit for MATH M04B. Applies to Associate Degree. MATH M04A 5 Units Elementary and Intermediate Algebra Part A Recommended Prep: MATH M09 Reviews integer and fraction computations. Covers linear equations and inequalities, graphing, linear functions, systems of linear equations, integer exponents, polynomials, factoring, rational expressions and equations. The first part of a two-semester course. A passing grade in both MATH M04A and MATH M04B must be obtained in order to receive unit credit for Elementary and Intermediate Algebra. Students receiving credit in both MATH M04A and MATH M04B will not receive credit for MATH M01 or MATH M03. Applies to Course Listing 216

4 MATH M04B 5 Units Elementary and Intermediate Algebra Part B Prerequisites: MATH M04A Covers square roots, rational exponents and radicals, quadratic equations and inequalities, rational expressions and equations, complex numbers, quadratic functions and graphs, inverse functions, exponential and logarithmic functions, conic sections and matrices and determinants. The second part of a twosemester course. A passing grade in both MATH M04A and MATH M04B must be obtained in order to receive unit credit for Elementary and Intermediate Algebra. Students receiving credit in both MATH M04A and MATH M04B will not receive credit for MATH M01 or MATH M03. Applies to MATH M05 3 Units College Algebra Covers quadratic equations, non-linear inequalities, absolute value equations and inequalities, complex numbers, functions, polynomial functions, rational functions, exponential functions, logarithmic functions, systems of equations and inequalities, sequences and series, the binomial theorem, matrices, and determinants. Completing MATH M05 and MATH M06 is equivalent to completing MATH M07. Applies to Transfer credit: CSU; UC (Students completing MATH M05, M06, and M07 receive maximum credit of 6 units for MC and CSU; MATH M05 and M07 combined is maximum credit, one course for UC) MATH M06 3 Units Trigonometry Prerequisites: MATH M05 Covers functions, trigonometric functions, solutions of triangles, radian measure, analytic trigonometry, trigonometric identities and equations, composite angle identities, inverse trigonometric functions, complex numbers and polar equations. Completing MATH M05 and MATH M06 is same as completing MATH M07. Applies to Transfer credit: CSU MATH M07 5 Units College Algebra and Trigonometry Integrates college algebra and trigonometry. Includes basic algebraic concepts, equations and inequalities of the first and second degree, functions and graphs, linear and quadratic functions, polynomial functions of higher degree, rational functions, exponential and logarithmic functions, trigonometric functions, and analytical trigonometry. Recommended for students planning to enter the MATH M25A/B/C sequence. Completing MATH M07 is equivalent to completing both MATH M05 and MATH M06. Applies to Transfer credit: CSU; UC (Students taking MATH M05, M06, M07 receive maximum credit of 6 units for MC and CSU; MATH M07 and MATH M05 combined is maximum credit, one course for UC) MATH M09 3 Units Pre-Algebra Recommended Prep: Competence with whole number arithmetic (addition, subtraction, multiplication, and division of whole numbers) Prepares students for algebra. Emphasizes basic arithmetic operations on fractions, decimals, and signed numbers. Provides drills to reinforce operations. Focuses on problem solving and practical applications on topics such as percent, proportion, and measurement. Includes an introduction to basic algebra. Completing M09 is the same as completing M09A, M09B, and M09C. Taking M09 and M09A, M09B, M09C receives a maximum credit of 3 units. Does NOT apply to MATH M09A 1 Unit Pre-Algebra A Prepares students for algebra. Emphasizes basic arithmetic operations on whole numbers and signed numbers. Provides drills to reinforce operations. Completing M09 is the same as completing M09A, M09B, and M09C. Taking M09 and M09A, M09B, M09C receives a maximum credit of 3 units. Does NOT apply to MATH M09B 1 Unit Pre-Algebra B Recommended Prep: MATH M09A Prepares students for algebra. Emphasizes basic arithmetic operations on fractions and decimals. Includes problem solving and practical applications. Completing M09 is the same as completing M09A, M09B, and M09C. Taking M09 and M09A, M09B, M09C receives a maximum credit of 3 units. Does NOT apply to MATH M09C 1 Unit Pre-Algebra C Recommended Prep: MATH M09A and MATH M09B Prepares students for algebra. Focuses on problem solving and practical applications on topics such as percent, proportion, and measurement. Includes an introduction to basic algebra. Completing M09 is the same as completing M09A, M09B, and M09C. Taking M09 and M09A, M09B, M09C receives a maximum credit of 3 units. Does NOT apply to MATH M10 3 Units ematics for Elementary Teachers Covers language of sets, systems of numeration, nature of numbers and the fundamentals of operations, domain of integers, and fields of rational and real numbers. Not recommended for majors in physical sciences or mathematics. Applies to Transfer credit: CSU; UC 217 Course Listing

5 MATH M13 3 Units ematical Ideas Introduces liberal arts students to the nature of mathematics, the character and origin of different subject fields in mathematics and the application of mathematics to several disciplines. Includes topics in logic, voting theory, management science including circuits, probability, statistics, growth and geometry and related applications such as the traveling salesman problem, fair division, symmetry in nature, and population growth. Applies to Associate Degree. Transfer credit: CSU; UC MATH M14 3 Units Finite ematics Introduces matrices, linear inequalities and linear programming, the mathematics of finance, and probability distributions and applications to linear programs for business, managerial, social or behavioral science students. Applies to Transfer credit: CSU; UC MATH M15 5 Units Introductory Statistics Explores nature of statistical methods, including the description of sample data, probability, theoretical frequency distributions, sampling, estimation, testing hypotheses, and special topics. Provides problem solving techniques. Applies to Transfer credit: CSU; UC MATH M15H 5 Units Honors: Introductory Statistics Prerequisites: MATH M03 with a grade of B or better Provides honors work in the nature of statistical methods, including the description of sample data, probability, theoretical frequency distributions, sampling, estimation, testing hypothesis, and special topics. Provides problemsolving techniques. Applies to Transfer credit: CSU; UC MATH M16A 3 Units Applied Calculus I Prerequisites: MATH M05 or MATH M07 Covers limits, continuity, and differentiation. Applies differential calculus to problems in business, economics, social and biological sciences. Introduces anti-differentiation. Applies to Transfer credit: CSU; UC (MATH M16A, M25A and M25AH combined: maximum credit, one course) MATH M16B 3 Units Applied Calculus II Prerequisites: MATH M16A or MATH M25A Includes integration, elementary and separable differential equations, functions of several variables, partial derivatives, relative maxima and minima, Lagrange multipliers, method of least squares, double integrals, infinite series, Taylor Approximation, and Newton s method. Applies calculus to problems in business, economics, and social and biological sciences. Applies to Associate Degree. Transfer credit: CSU; UC (MATH M16B and MATH M25B combined: maximum credit, one course) MATH M21 3 Units Discrete ematics Prerequisites: MATH M25A Recommended Prep: CS M10A Covers elements of discrete mathematics, which have application to computer science. Topics include logic, sets, functions, relations, mathematical induction, recurrence relations, graphs, trees, discrete probability, and Boolean algebra. Applies to Transfer credit: CSU; UC MATH M22A/B 0.5 to 3 Units Independent Studies in ematics Prerequisites: A previous course in ematics Class Hours: 0.5 to 3 as arranged Allows an in dependent project (approved by instructor and dean) to expand knowledge of mathematics through research, lab work or field trips. Includes one-on-one work with instructor. May be taken for a maximum of six (6) units. Applies to Transfer credit: CSU; UC (determined after admission) MATH M25A 5 Units Calculus with Analytic Geometry I Prerequisites: MATH M05 and MATH M06 or MATH M07 Covers limits, continuity, differentiation and integration of algebraic functions with applications, differentiation and integration of elementary transcendental functions with applications, and solutions of first order, separable differential equations with applications. Students cannot complete both MATH M25 and MATH M25H courses because credit will only be awarded to the first course completed. Applies to Transfer credit: CSU; UC (MATH M16A, M25A and M25AH combined: maximum credit, one course) Course Listing 218

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