# Mathematics (MATH)

**MATH N01 C Supervised Tutoring: Math 0 Units
**

NON-CREDIT COURSE Term hours: 4-48 laboratory. This course provides individual tutoring based on each student's needs in mathematics. Students wishing to use the Math Learning Center must enroll in this course.

**MATH 010 C Basic Mathematics 4 Units
**

Term hours: 72 lecture. This is a course for students wishing to review basic arithmetic skills. It includes the concepts of adding, subtracting, multiplying, and dividing whole numbers, fractions, mixed numbers, and decimals. Also covered will be percents, ratios, rates, solving proportions, perimeter and area of geometric figures, English and Metric measurements and an introduction to negative numbers. There will be an emphasis on applying the mathematics to real-world situations. Non-Degree Credit

**MATH 011 C Skills for Finite Math 2 Units
**

* Prerequisite(s): * Appropriate placement.

Corequisite: MATH 115 C with a grade of C or better. Term Hours: 36 lecture. This course covers the skills and concepts needed to be successful in MATH 115 C. Topics include multiplying polynomials, factoring polynomials, solving linear equations, graphing linear equations, functions, and graphing inequalities. Pass/No Pass only.

**MATH 012 C Skills for Probability and Statistics 2 Units
**

* Prerequisite(s): * Appropriate placement.

Corequisite: MATH 120 C with a grade of C or better. Term Hours: 36 lecture. This course covers the skills and concepts needed to be successful in MATH 120 C which includes solving and graphing linear equations, order of operations of real numbers, basic probability, probability distributions, measures of central tendency and dispersion, sampling techniques, parametric and non-parametric tests of hypotheses, point and interval estimation, linear regression and correlation. Students will use computer software and/or graphic calculators for statistical analysis of various topics. This course requires the use of a graphing calculator comparable to the TI-83/84. Pass/No Pass only.

**MATH 013 C Skills for Survey of Calculus 2 Units
**

* Prerequisite(s): * Appropriate placement.

Corequisite: MATH 130 C with a grade of C or better. Term Hours: 36 lecture. This course covers the skills and concepts necessary for success in MATH 140 C. Topics include factoring polynomials, solving linear, quadratic, polynomial, and exponential equations, graphing lines and parabolas, laws of exponents and logarithms, functions, solving systems of linear equations, and common geometric formulas. Pass/No Pass only.

**MATH 014 C Skills for College Algebra 2 Units
**

* Prerequisite(s): * Appropriate placement.

Corequisite: MATH 141 C with a grade of C or better. Term Hours: 36 lecture. This course covers the skills and concepts needed to be successful in MATH 141 C. Topics include factoring polynomials, solving linear, quadratic, polynomial, exponential, and logarithmic equations, graphing lines, parabolas, and other nonlinear functions, the laws of exponents, functions, solving systems of linear and nonlinear equations, common geometric formulas, and other fundamentals of algebra. Pass/No Pass only.

**MATH 015 C Pre-Algebra 4 Units
**

* Prerequisite(s): * MATH 010 C or Basic Mathematics with a grade of "C" or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 72 lecture. This course is designed for students who are planning to study algebra and need a review of the basic skills of arithmetic and an introduction to the basic principles of algebra. Topics covered include integers, fractions, decimals, percent, proportions, exponents, properties of real numbers, evaluation of algebraic expressions, elementary equation solving, formulas, informal geometry, and applications. This course requires a non-graphing scientific calculator. Non-Degree Credit

**MATH 020 C Elementary Algebra 4 Units
**

* Prerequisite(s): * MATH 015 C or Pre-Algebra with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 72 lecture. This course is an introduction to the methods of algebra. It includes the basic operations of real numbers, polynomials, rational expressions, and radical expressions; factoring polynomials; solutions of linear equations, linear inequalities, systems of linear equations, and quadratic equations; and graphing of linear equations, systems, and inequalities. This course requires the use of a non-graphing scientific calculator. Students who have completed MATH 020 C are allowed to take MATH 040 C or MATH 041 C. Non-Degree Credit

**MATH 024 C Pre-Statistics 6 Units
**

* Prerequisite(s): * MATH 010 C or Basic Mathematics with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 108 lecture. This course is for students planning to enroll in Math 120 C or PSY/SOC 161 C. It covers the requisite algebra topics including graphing linear equations, as well as organizing and summarizing quantitative and qualitative data, laws of probability, discrete and continuous probability distributions, application problems, and use of the TI-83/84 graphing calculator. Non-Degree Credit.

**MATH 030 C Plane Geometry 4 Units
**

* Prerequisite(s): * MATH 020 C or MATH 041 C or Algebra I with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 72 lecture. This course is an introduction to Euclidean geometry. It includes the study of elementary logic, deductive reasoning, parallel and perpendicular relationships, theorems and proofs, geometric constructions, theorems and proofs, congruent and similar polygons, special right triangles, circles, geometric loci, areas, perimeters and volumes. Precise definitions and accuracy of statements are stressed as background for analytical reasoning. The course is equivalent to one year of high school geometry.(AA GE)

**MATH 038 C Practical Mathematics for Life 4 Units
**

* Prerequisite(s): * MATH 020 C or MATH 041 C or Algebra I with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 72 lecture. This course uses the concepts of beginning algebra, problem solving skills, and analytical thinking to solve real world applications involving fractions, financial management, logic, geometry, probability and statistics. It meets the minimum mathematics requirement for an associates degree but does not satisfy the prerequisite for a transferable math course. (AA GE)

**MATH 040 C Intermediate Algebra 4 Units
**

* Prerequisite(s): * MATH 020 C or Algebra I with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Course hours 72. This is a second course in algebra that includes the topics of sets, axioms for the real number system, polynominals, solutions of linear and quadratic equations and inequalities, exponents and radicals, linear, quadratic, exponential and logarithmic functions and their graphs, and systems of equations. This course requires the use of a non-graphing scientific calculator. Students may not receive credit for both MATH 040 C and MATH 041 C. (AA GE)

**MATH 041 C Combined Algebra I and II 6 Units
**

* Prerequisite(s): * MATH 015 C or Pre-Algebra with a grade of C or better AND the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours 108. This course is designed for students who would like to complete Elementary and Intermediate Algebra in one semester. It covers linear, quadratic, and absolute value equations and inequalities, rational and radical equations, operations with polynomials, radicals, and rational expressions, systems of linear equations, and linear, quadratic, exponential, and logarithmic functions and their graphs. Students may not receive credit for both MATH 040 C and MATH 041 C. Students who have completed MATH 020 C are allowed to take MATH 040 C or MATH 041 C.

**MATH 044 C Basic Accelerated Math 3 Units
**

Term Hours: 108 Laboratory This is a self-paced Math course in which students can progress from Basic Math through Intermediate Algebra in one semester. Students will take an assessment at the beginning of the course to determine their starting point and study plan. Students will then show mastery of topics using ALEKS, a Web-based assessment and learning system. Pass/No Pass. May not be taken more than once.

**MATH 045 C Intermediate Algebra Review 2 Units
**

* Prerequisite(s): * MATH 040 C or Algebra II with a grade of C or better and the assessment process.

Term hours: 36 lecture. This course is a review of Intermediate Algebra and is designed for students who have already completed Intermediate Algebra and are planning to enroll in College Algebra, Trigonometry, Survey of Calculus, Finite Mathematics, Mathematics for Liberal Arts students, Introduction to Probability and Statistics or General Chemistry. The topics covered include sets, axioms for the real number system, polynomials, solutions of lienar and quadratic equations and inequalities, exponents and radicals, linear and quadratic functions and their graphs, exponential and logarithmic functions and systems of equations. This course requires the use of a non-graphing scientific calculator. This course does not count toward the Associate Degree. Non-Degree Credit. Pass/No Pass only.

**MATH 098 C Mathematics Seminar 0.5-4 Units
**

* Prerequisite(s): *May be required.

* Corequisite(s): *May be required.

* Advisory: *May be required.

Term hours: 9-72 lecture depending on units attempted. This course is a lecture/discussion approach to special topics involving mathematics. It may be a problem session relating to a particular course in the curriculum or a study of topics not ordinarily covered in the curriculum. Consult the class schedule to verify unit credit for a particular semester. Pass/No Pass/Letter Grade option. Fees may be required-payable at registration.

**MATH 100 C Liberal Arts Mathematics 3 Units
**

* Prerequisite(s): * MATH 030 C and MATH 040 C or MATH 041 C or Plane Geometry and Algebra II with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 54 lecture. This is a survey course with selected topics from the history and development of mathematics, elementary logic and set theory, probability, statistics, geometry, and exponential and logarithmic applications. This course is designed for prospective teachers and liberal arts students. (UC/CSU, AA GE, CSU GE, IGETC)

**MATH 110 C Math for Prospective Teachers 4 Units
**

* Prerequisite(s): * MATH 030 C and 040 C or MATH 041 C or Plane Geometry and Algebra II with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 72 lecture. This course is an introduction to problem solving processes and strategies. Students explore the development and analysis of the structure and operations of the real number system. Students focus on concept and process development using appropriate models, manipulatives, and activities. This course is designed for prospective elementary and middle school teachers. This course requires the use of a non-graphing scientific calculator. (UC/CSU, AA GE, CSU GE/C-ID: MATH 120)

**MATH 115 C Finite Mathematics 4 Units
**

* Prerequisite(s): * MATH 040 C or MATH 041 C or Algebra II with a grade of C or better and the assessment process.

Term hours: 72 lecture. This is a general education course in practical mathematics for liberal arts students or any student not majoring in mathematics or science. This course covers linear equations, functions, finance, matrices, linear systems, linear programming, sets, counting techniques, probability, and applications to various fields such as business, economics, life sciences, and social sciences. This course requires the use of a TI-83/84 or equivalent graphing calculator. (CSU/UC/AA GE, CSU GE, IGETC/C-ID: MATH 130)

**MATH 120 C Introduction to Probability and Statistics 4 Units
**

* Prerequisite(s): * MATH 040 C or MATH 041 C or MATH 024 C or Algebra II with a grade of C or better and the assessment process. Proof of prerequisites is required. NOTE: Students majoring in Business, Engineering, Science or Math should be taking MATH 040 C or MATH 041 C rather than MATH 024 C.

Proof of prerequisites is required. NOTE: Students majoring in Business, Engineering, Science or Math should be taking MATH 040 C or MATH 041 C rather than MATH 024 C. Term hours: 72 lecture. This course is an introduction to the elements of statistical analysis which includes an intuitive approach to the study of probability and probability distributions, measures of central tendency and dispersion, sampling techniques, parametric and non-parametric tests of hypotheses, point and interval estimation, linear regression and correlation. Applications to business, biological sciences, and social sciences are emphasized. Students will use computer software and/or graphing calculators for statistical analysis of various topics. This course requires the use of a graphing calculator comparable to the TI-83/84. Duplicate credit not granted for MATH 120HC. (UC Credit Limitation/CSU, AA GE, CSU GE, IGETC/C-ID: SOCI 125)

**MATH 130 C Survey of Calculus 4 Units
**

* Prerequisite(s): * MATH 040 C or MATH 041 C or Algebra II with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 72 lecture. This course is an introduction to calculus with an emphasis on solution techniques and applications rather than abstract theory. It includes elements of analytic geometry, limits, derivatives, integration as a summation process, exponential and logarithmic functions, integration of basic forms, techniques of integration, an introduction to multi-variable calculus, and curve sketching, with applications from the life sciences, engineering technology, economics, and the social sciences. This course requires the use of a graphing calculator comparable to the TI-83/TI-84. Credit by Examination. (CSU/UC Credit Limitation/AA GE, CSU GE, IGETC/C-ID: MATH 140)

**MATH 141 C College Algebra 4 Units
**

* Prerequisite(s): * MATH 030 C and MATH 040 C or MATH 041 C with a grade of C or better or Plane Geometry and Algebra II with grades of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 72 lecture. This is one of two courses to prepare students for the calculus sequence. The topics covered include a review of the fundamentals of algebra; rational, exponential and logarithmic functions; theory of equations and zeros of polynomial functions; systems of equations including linear and quadratic systems; sequences and series; mathematical induction; permutations; combinations; binomial theorem; analytic geometry; conic sections; and miscellaneous topics. (UC/CSU, AA GE, CSU GE, IGETC)

**MATH 142 C Trigonometry 4 Units
**

* Prerequisite(s): * MATH 141 C or the equivalent of Math Analysis or Precalculus with a grade of C or better.

Term hours: 72 lecture. This is a one-semester course in trigonometry designed to prepare students for the study of calculus. The topics to be covered include the following: measurements of angles, trigonometric and inverses trigonometric functions and their graphs, solving trigonometric equations, verifying trigonometric identities, solutions of triangles, complex numbers, polar coordinates, vectors, DeMoivre's Theorem, and parametric equations. (CSU, AA GE, CSU GE)

**MATH 150AC Calculus I 4 Units
**

* Prerequisite(s): * MATH 141 C and MATH 142 C or trigonometry and math analysis/pre-calculus with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 72 lecture. This course is an introduction to mathematical analysis. It includes the study of analytic geometry, functions and limits, continuity, differentiation and integration. Problem work includes applications involving derivatives, definite integrals and indefinite integrals. Credit by Examination. (UC Credit Limitation/CSU, AA GE, CSU GE, IGETC; C-ID: MATH 900 S)

**MATH 150BC Calculus II 4 Units
**

* Prerequisite(s): * MATH 150AC or Calculus I and Analytic Geometry with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 72 lecture. This course is a continuation of Math 150A. It includes the study of applications of integration, techniques of integration, improper integrals, sequences, infinite series, power series, Taylor and Maclaurin series, conic sections, parametric equations, polar coordinates, and a brief introduction to differential equations. (UC/CSU, AA GE, IGETC, CSU GE/C-ID: MATH 900 S)

**MATH 250AC Multivariable Calculus 4 Units
**

* Prerequisite(s): * MATH 150BC or Calculus II and Analytic Geometry with a grade of C or better and the assessment process. Proof of prerequisites is required.

Proof of prerequisites is required. Term hours: 72 lecture. This is an intermediate course in mathematical analysis. It includes the study of three-dimensional analytic geometry, calculus of functions of several variables, vector calculus, multiple integration, vector fields and theorems, with associated problem applications. Credit by Examination. (UC/CSU, AA GE, CSU GE, IGETC/C-ID: MATH 230)

**MATH 250BC Linear Algebra and Differential Equations 5 Units
**

* Prerequisite(s): * MATH 250AC or Calculus III and Analytic Geometry with a grade of C or better and the assessment process.

Term hours: 90 lecture. This course is an introduction to linear algebra and ordinary differential equations. Linear algebra includes matrices, determinants, vector spaces, linear transformations, and characteristic values. Differential equations includes separable, exact, Cauchy-Euler, and nonhomogeneous equations; undetermined coefficients, variation of parameters, systems of differential equations, power series solutions, and LaPlace Transforms. Credit by Examination. (UC/CSU, AA GE, CSU GE, IGETC/C-ID: MATH 240)

**MATH 298 C Mathematics Seminar 0.5-4 Units
**

* Prerequisite(s): *May be required.

* Corequisite(s): *May be required.

* Advisory: *May be required.

Term hours: 9-72 lecture depending on units attempted. This is a lecture/discussion approach to special topics involving mathematics. It may be a problem session related to a particular course in the curriculum, or a study of topics not ordinarily covered in the curriculum. Consult the class schedule to verify unit credit for a particular semester. Pass/No Pass/Letter Grade option. Fees may be required - Payable at Registration. (UC Credit Limitation/CSU)

**MATH 299 C Mathematics Independent Study 0.5-2 Units
**

* Prerequisite(s): * Approved Independent Study Learning Contract

Term hours: 9-36 lecture depending on units attempted. This course is for students who have demonstrated interest in and capability for increased knowledge of mathematical topics not ordinarily covered in curriculum courses. Students will participate in independent study or research on assigned projects under staff supervision. (UC Credit Limitation/CSU)