The Associate in Science in Mathematics degree and Associate in Science in Mathematics for Transfer degree provide opportunities for students to enter in a wide range of careers. After completing the Mathematics major, students transferring to a four-year institution will be prepared for additional study in the following areas: actuarial science, applied mathematics, computer science (programming), statistics, theoretical mathematics.

Requirements:

Units: 18

MATH 1A

Single-Variable Calculus and Analytic Geometry (Historical)

4

MATH 1B

Single-Variable Calculus and Analytic Geometry (Historical)

4

MATH 1C

Multivariable Calculus (Historical)

4

MATH 2

Linear Algebra (Active)

3

MATH 2C

Differential Equations (Active)

3

Students must:

Units: 0

Complete 60 semester units or 90 quarter units that are eligible for transfer to the California State University, including both of the following:

A. The Intersegmental General Education Transfer Curriculum (IGETC) or the California State University General Education Breadth Requirements.

B. A minimum of 18 semester units or 27 quarter units in a major or area of emphasis, as determined by the community college district.

Obtain a minimum grade point average of 2.0.

Earn a "C" or better in all courses required for the major or area of emphasis. A āPā (Pass) grade is not an acceptable grade for courses in the major.

Units Required for the Major: 18

Units:

Double Counted Units:

Units:

General Education Requirements: CSU GE: 39; IGETC: 37

Units: 37-39

Electives needed to get to 60 Units:

Units:

Total Units for the Degree: 60 Units

Units:

Total: 55-57

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The Associate in Science in Mathematics degree and Associate in Science in Mathematics for Transfer degree provide opportunities for students to enter in a wide range of careers. After completing the Mathematics major, students transferring to a four-year institution will be prepared for additional study in the following areas: actuarial science, applied mathematics, computer science (programming), statistics, theoretical mathematics.

Requirements:

Units: 21

ENGR 5

Engineering Programming and Problem Solving (Historical)

3

MATH 1A

Single-Variable Calculus and Analytic Geometry (Historical)

4

MATH 1B

Single-Variable Calculus and Analytic Geometry (Historical)

4

MATH 1C

Multivariable Calculus (Historical)

4

MATH 2

Linear Algebra (Active)

3

MATH 2C

Differential Equations (Active)

3

Recommended Electives

Units: 0

MATH 5

Introduction to Statistics (Historical)

3

PHYS 4A

Physics for Scientists and Engineers - Mechanics (Historical)

4

PHYS 4B

Physics for Scientists and Engineers - Electricity and Magnetism (Historical)

4

PHYS 4C

Physics for Scientists and Engineers - Heat, Optics, Modern Physics (Historical)

4

General Education Requirements:

Units: 35-39

A student may complete the Gavilan College A.A./A.S. general education, the CSU-GE Breadth or the IGETC pattern, plus sufficient electives to meet a 60 unit total. See a counselor for details. NOTE: A course may be used to satisfy both general education and major requirements. See "Double Counting Rule".

Total: 56-60

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MATH 11—Integrated Precalculus (8.0)Active

8.0 Lecture. Math 11 is a blend of Math 8A and 8B Precalculus classes. Math 11 prepares students for the study of calculus by providing important skills in algebraic manipulation, interpretation, and problem solving at the college level. Topics will include basic algebraic concepts, complex numbers, equations and inequalities of the first and second degree, functions and graphs, linear and quadratic equations, polynomial functions, exponential and logarithmic functions, systems of equations, matrices and determinants, trigonometric functions, identities, inverse trigonometric functions, applications of trigonometry, vectors, polar and parametric equations, sequences, series, conic sections, and mathematical induction.
PREREQUISITE. Mathematics 240 with a grade of 'C' or better, or appropriate placement. (Standard Letter Grade.) Effective: Spring 2020.

MATH 12—Mathematics for Elementary Teachers (3.0)Active

3.0 Lecture. This course is intended for students preparing for a career in elementary school teaching. Emphasis will be on the structure of the real number system, numeration systems, elementary number theory, and problem solving techniques. Technology will be integrated throughout the course. PREREQUISITE: High School Geometry and Math 240 (Algebra 2) or Math 242 (Algebra for Statistics) or skills equivalent to Intermediate Algebra. All courses must be completed with a grade of 'C' or better. (Standard Letter Grade.) Effective: Fall 2019.

MATH 14—Math for the Liberal Arts (3.0)Historical

3.0 Lecture. Survey of selected topics from contemporary mathematics to introduce the student to mathematical thinking for the non-specialist. Topics include systems of numeration, algebraic modeling, linear programming, trigonometry, math of finance, probability and statistics, and an introduction to calculus. PREREQUISITE: Math 233 with a grade of 'C' or better. (Standard Letter Grade.) Effective: Fall 2014 to Spring 2020.

MATH 14—Math for the Liberal Arts (3.0)Active

3.0 Lecture. Survey of selected topics from contemporary mathematics to introduce the liberal arts student to a variety of mathematical ideas, methods and historical trends. Topics include systems of numeration, logic, set theory, mathematical modeling, geometry, trigonometry, mathematics of finance, probability and statistics. PREREQUISITE: Math 240 or Math 242 with a grade of 'C' or better. (Standard Letter Grade.) Effective: Spring 2020.

MATH 16—Discrete Mathematics (4.0)Historical

4.0 Lecture. Presents discrete mathematical systems including methods of proof that shape the foundations of computer science. Includes propositional logic, set and number theory, Boolean Algebra, deductive and inductive proof, functions and relations, combinatorics, discrete probability, graph theory and network models, and efficiency of algorithms.
PREREQUISITE: Mathematics 8B with a grade of 'C' or better or equivalent skills. ADVISORY: CSIS 5 or CSIS 45 with a grade of 'C' or better or equivalent skills. (Standard Letter Grade.) Effective: Fall 2018 to Spring 2020.

MATH 16—Discrete Mathematics (4.0)Active

4.0 Lecture. Presents discrete mathematical systems including methods of proof that shape the foundations of computer science. Includes propositional logic, set and number theory, Boolean Algebra, deductive and inductive proof, functions and relations, combinatorics, discrete probability, graph theory and network models, and efficiency of algorithms.
PREREQUISITE: Mathematics 8B with a grade of 'C' or better or equivalent skills. ADVISORY: CSIS 5 or CSIS 45 with a grade of 'C' or better or equivalent skills. (Standard Letter Grade.) Effective: Spring 2020.

MATH 1A—Single-Variable Calculus and Analytic Geometry (4.0)Active

4.0 Lecture. A first course in differential and integral calculus of a single variable covering limits and continuity, analyzing the behavior and graphs of functions, derivatives, implicit differentiation, higher order derivatives, related rates and optimization problems, Newton's Method, Fundamental Theorem of Calculus, and definite and indefinite integrals. PREREQUISITE: Mathematics 8B with a grade of 'C' or better. (Standard Letter Grade.) Effective: Fall 2017.

MATH 1B—Single-Variable Calculus and Analytic Geometry (4.0)Active

4.0 Lecture. A second course in differential and integral calculus of a single variable covering methods of integration, applications of the integral, differential equations, parametric and polar equations, and sequences and series. (C-ID: MATH 220, MATH 900S: Math 1A + Math 1B) PREREQUISITE: Mathematics 1A with a grade of 'C' or better. (Standard Letter Grade.) Effective: Fall 2017.

MATH 1C—Multivariable Calculus (4.0)Historical

4.0 Lecture. A standard third semester Calculus course covering functions of several variables, vectors, surfaces, vector-valued functions, partial derivatives, multiple and line integrals, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. (Standard Letter Grade.) Effective: Fall 2017 to Spring 2020.

MATH 1C—Multivariable Calculus (4.0)Active

4.0 Lecture. A standard third semester Calculus course covering functions of several variables, vectors, surfaces, vector-valued functions, partial derivatives, multiple and line integrals, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. (Standard Letter Grade.) Effective: Spring 2020.

MATH 2—Linear Algebra (3.0)Active

3.0 Lecture. A standard one semester Linear Algebra course covering systems of linear equations, vectors and matrices, determinants, vector spaces, linear transformations, eigenvalues, and eigenvectors. Graphing calculators and computers will be used. (C-ID: MATH 250) PREREQUISITE: Mathematics 1C with a grade of 'C' or better. (Standard Letter Grade.) Effective: Fall 2014.

MATH 208—Plane Geometry (3.0)Active

3.0 Lecture. This course introduces the vocabulary and principles of Euclidean Geometry. Methods of proof including inductive and deductive reasoning will be developed. Concepts of congruence and similarity, angles, lines, polygons, and circles will be covered. Additional topics such as solid geometry, analytical geometry, transformations, and basic trigonometry may be included as time allows. PREREQUISITE: Math 430 or equivalent with a grade of "C" or better. (Standard Letter Grade.) Effective: Fall 2015.

MATH 215—Statistics Support (2.0)Active

2.0 Lecture. A review of the core prerequisite skills needed for Math 5: Introduction to Statistics. Intended for students who are concurrently enrolled in Math 5: Introduction to Statistics at Gavilan College. The course will focus on core concepts from Algebra and Statistics that are needed to support success in transfer-level Statistics. Topics include operations on real numbers including order of operations, fractions, decimals, percentages, exponents and logarithms, correct selection and implementation of statistical formulas, review of the Cartesian coordinate system and written interpretation of slope and intercept of linear equations, exploratory analysis of categorical, quantitative, single variable and bivariate data, discrete and normal probability, support for graphing calculator usage and for statistical software. This course is appropriate for students confident in beginning algebra who need support for intermediate algebra skills essential for statistics. This course is Pass/No Pass only. Non-degree applicable. Prerequisite: Appropriate placement. Corequisite: Math 5: Introduction to Statistics. (Pass/No Pass.) Effective: Spring 2020.

MATH 216—Business Calculus Support (2.0)Active

2.0 Lecture. A review of the core prerequisite skills needed in business calculus. Intended for students who are concurrently enrolled in Math 6: Calculus for Business, Economics, and Social Sciences at Gavilan College. Topics include the following: polynomial, rational and radical expressions and equations, linear and quadratic equations and inequalities, exponential and logarithmic expressions and equations, functions, and graphs of linear, quadratic, exponential, and logarithmic functions. This course is appropriate for students who are confident in their graphing and beginning algebra skills. This course is Pass/No Pass only. Non-degree applicable. Prerequisite: Appropriate placement. Corequisite: Math 6: Calculus for Business, Economics, and Social Sciences.
(Pass/No Pass.) Effective: Spring 2020.

MATH 218—Precalculus Support (1.0)Active

3.0 Lab. A review of the core prerequisite skills, competencies, and concepts needed in Math 8A: First Half of Precalculus. Intended for STEM majors who are concurrently enrolled in MATH 8A: First Half of Precalculus, at Gavilan College. Topics include: a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, absolute value equations and inequalities, exponential and logarithmic expressions and equations, and an in-depth focus on functions including composition, inverses and graphs. This course is appropriate for students who are confident in their graphing and beginning algebra skills. This course is Pass/No Pass only. Non-degree applicable. Prerequisite: Appropriate placement. Corequisite: Math 8A: First Half of Precalculus. (Pass/No Pass.) Effective: Spring 2020.

MATH 219—Preparation for Calculus Bootcamp (1.0-2.0)Active

1.0-2.0 Lecture. This is a course for students who wish to refresh or re-learn fundamental algebraic or pre-calculus concepts. The focus is on polynomial, trigonometric, exponential and logarithmic functions and equations and the graphs of these functions. This class is preparation for Math 8B, Math 1A, or Math 1B. This is a Pass/No Pass course.
(Pass/No Pass.) Effective: Spring 2020.

MATH 22—Field Work and Service (0.5-1.0)Active

1.5-3.0 TBA. Supervised field work within the college and with local agencies. Students serve in useful group activities in leadership roles prescribed for them by faculty or community agencies. A maximum of six units may be completed. This is a pass/no pass course. REQUIRED: Learning contracts must be filled out and signed by the student and the supervising instructor. (Pass/No Pass.) Effective: Spring 2011.

MATH 23—Independent Study (1.0-2.0)Active

3.0-6.0 TBA. Designed to afford selected students specialized opportunities for exploring areas at the independent study level. The courses may involve extensive library work, research in the community, or special projects. May be repeated until six units of credit are accrued. This course has the option of a letter grade or pass/no pass. REQUIRED: The study outline prepared by the student and the instructor must be filed with the department and the dean. (Option of a standard letter grade or Pass/no pass.) Effective: Spring 2011.

MATH 235—Integrated Algebra (10.0)Historical

10.0 Lecture. This course is a blend of elementary and intermediate algebra courses with a focus on linear equations and inequalities, graphs and functions, systems of equations, polynomials and polynomial functions/equations, factoring, rational expressions and equations, roots, radicals, complex numbers, exponential and logarithmic functions, and problem solving strategies. PREREQUISITE: MATH 402 with a grade of "Pass" or MATH 411 with a grade of "Pass" or assessment test recommendation. (Standard Letter Grade.) Effective: Spring 2019 to Spring 2020.

MATH 235—Integrated Algebra (7.5)Active

7.0 Lecture, 1.5 Lab. This is an intermediate algebra course with an emphasis on word problems and real life applications. The focus will be on linear equations and inequalities, graphs and functions, systems of equations, polynomials and polynomial functions/equations, factoring, rational expressions and equations, roots, radicals, complex numbers, exponential and logarithmic functions, and problem solving strategies. Prerequisite: Appropriate Placement (Standard Letter Grade.) Effective: Spring 2020.

MATH 240—Algebra II (5.0)Active

5.0 Lecture. This is a second course of algebra and is designed for STEM and other math based majors. It will cover solving systems of equations with matrices, graphs and functions, absolute value equations and inequalities, radical, quadratic, exponential and logarithmic expressions and functions, complex numbers, conic sections, and problem solving strategies. PREREQUISITE: Math 430 with a grade of C or better, or Math 205, Math 205B, or Math 233A with a grade of C or better, or assessment test recommendation. (Standard Letter Grade.) Effective: Spring 2019.

MATH 242—Algebra for Statistics (6.0)Active

6.0 Lecture. Math 242 is for students whose educational plan includes ONLY Math 5 (transfer-level Statistics). If your major is math, science, engineering, computer science, business, etc., and/or your educational plan includes any transfer-level math class other than Math 5, or you are unsure about your major, you should take Math 240. Math 240 and Math 242 are not equivalent. Math 242 prepares students for transfer-level Statistics (Math 5) by covering core concepts from Algebra and Statistics that are needed to understand the basics of college level statistics. Topics include operations on real numbers, solving equations, functions, inequalities, radicals, exponential and logarithmic functions, exploratory analysis of categorical, quantitative, single variable and bivariate data, and probability. PREREQUISITE: Appropriate placement. (Standard Letter Grade.) Effective: Spring 2019.

MATH 2C—Differential Equations (3.0)Active

3.0 Lecture. An introductory course in differential equations that covers: first order differential equations including separable, linear, exact, homogeneous, bernoulli and Euler's Method; second order differential equations including homogeneous, nonhomogeneous, variation of parameters, method of undetermined coefficients and reduction of order; series solutions to differential equations; Laplace Transforms; linear systems; and if time, Fournier Analysis; and applications thereof. (C-ID: MATH 240) PREREQUISITE: Mathematics 1C with a grade of 'C' or better. (Standard Letter Grade.) Effective: Spring 2016.

MATH 400—Elements of Arithmetic (3.0)Active

3.0 Lecture, 1.0 Lab. This course covers essential arithmetic operations, whole numbers, integers, fractions, decimals, ratio, proportion, percent, applications of arithmetic, and critical thinking, as well as math-specific study skills. This is a pass/no pass course, with pass being given for mastery of the content. Units earned in this course do not count toward the associate degree and/or other certain certificate requirements. (Pass/No Pass.) Effective: Summer 2016.

MATH 402—Pre-Algebra (3.0)Active

3.0 Lecture, 2.0 Lab. This course covers operations with integers, fractions, decimals and associated applications, ratio, proportion, geometry, and measurements with the emphasis on critical thinking and applications. Elementary algebra topics such as variables, expressions, and solving equations are introduced. This is a pass/no pass course where pass is given for mastery of the above topics. The mastery level is set by the department. PREREQUISITE: Completion of Math 400 with a grade of 'C' or better OR completion of Math 400 with a grade of 'P' OR appropriate assessment test score. (Pass/No Pass.) Effective: Fall 2018.

MATH 411—Integrated Pre-Algebra (7.0)Active

7.0 Lecture. This course is a blend of standard Elements of Arithmetic and Pre-Algebra courses with the focus on operations with whole numbers, fractions, percentages, proportions, and signed numbers. Algebraic topics such as variables, expressions, and solving basic linear equations and applications are introduced. This is a pass/no pass course where pass is given for mastery of the above topics. The mastery level is set by the department. ADVISORY: MATH 414 (Pass/No Pass.) Effective: Fall 2013.

MATH 412—Math Refresher (0.5)Active

0.5 Lecture. A remedial intensive math course designed to be a refresher for students who wish to review basic math concepts before taking the Assessment Placement test or to prepare prior to retaking the Assessment test. The primary focus is on operations with whole numbers, fractions, decimals and percentages. This is a pass/no pass course. Units earned in this class do not count toward the associate degree and/or certain certificate requirements. (Pass/No Pass.) Effective: Summer 2017.

MATH 412A—Math Refresher Part 1 (0.5)Active

0.5 Lecture. An intensive math course designed to be a refresher for students who wish to review fundamental math concepts to get the support in the current class. The primary focus is on operations with whole numbers, fractions, decimals and percentages. This is a pass/no course. Units earned in this class do not count towards an Associate's Degree or certain certificate requirements. (Pass/No Pass.) Effective: Spring 2020.

MATH 412B—Math Refresher Part 2 (0.5)Active

1.0 Lecture. An intensive math course designed to be a refresher for students who wish to review fundamental math concepts to get the support in the current class. The primary focus is on operations with percentages, proportions, equations, and text problems. This is a pass/no course. Units earned in this class do not count towards an Associate's Degree or certain certificate requirements. (Pass/No Pass.) Effective: Spring 2020.

MATH 413—Math Immersion Review - Basic Concepts Level 1 (1.0-2.0)Active

1.0-2.0 Lecture. A remedial mathematics course designed for those students who need to learn, or re-learn, the fundamental concepts of math. The primary focus is on operations with whole numbers, fractions, decimals, percentage and real life problems. This is a pass/no pass course. Units earned in this course do not count toward the associate degree and/or certain certificate requirements. This class is an intense preparation for Math 402, Math 430 or Math 411 and Math 235. (Pass/No Pass.) Effective: Summer 2018.

MATH 414—Math Immersion Review - Basic Concepts Level 2 (1.0-3.0)Active

1.0-3.0 Lecture. A remedial Immersion math course designed for those students who need to learn, re-learn, or re-fresh the fundamental concepts of Math. The primary emphasis is on fractions, signed numbers, linear equations, algebraic structures and word problems. This class is an intense preparation for Math 402, Math 411, Math 430 and Math 235. This is a pass/no pass course. Units earned in this course do not count toward the associate degree or certain certificate requirements. (Pass/No Pass.) Effective: Summer 2017.

MATH 415—Math Immersion Review - Algebraic Concepts (1.0-3.0)Active

1.0-3.0 Lecture. A remedial mathematics course designed for those students who need to learn, or re-learn the fundamental concepts of math. The primary emphasis is on algebraic expressions, linear/quadratic equations and applications, polynomials, graphing, and functions. This is a pass/no pass course. Units earned in this course do not count toward the associate degree and/or certain certificate requirements. This class is an intense preparation for Math 240, Math 242, Math 8A. (Pass/No Pass.) Effective: Spring 2018.

MATH 416—Math for Summer Bridge (1.0-3.0)Active

1.0-3.0 Lecture. This class is a remedial mathematics course for students new to Gavilan College who are participating in the Summer Bridge Program or other special cohorts. Students enrolled in this class must have taken the math placement exam prior to the first day of class. The purpose of the class is to review and hone basic math skills, acclimate the student to the rigors of college level work, and improve other student skills needed for learning and academic achievement. Upon completion of the course, students will be allowed to retake the placement exam. The primary mathematical focus is on prealgebra topics such as operations with whole numbers, fractions, decimals, percentage and real life problems. Students can also get practice with other topics in Algebra I such as solving linear equations, graphing linear functions, and factoring. This is a pass/no pass course. Units earned in this course do not count toward the associate degree and/or certain certificate requirements. (Pass/No Pass.) Effective: Summer 2017.

MATH 430—Algebra I (5.0)Active

5.0 Lecture. This is the first course of algebra. It will cover simplifying algebraic expressions, linear equations and inequalities, linear functions and their graphs, systems of equations, polynomials, factoring, rational expressions, and applications of all of the above.
PREREQUISITE: Math 402 with a grade of "Pass", or Math 411 or Math 205A with a grade of C or better, or assessment test recommendation. (Standard Letter Grade.) Effective: Fall 2017.

MATH 5—Introduction to Statistics (3.0)Active

3.0 Lecture, 1.0 Lab. Descriptive analysis and presentation of either single-variable data or bivariate data, probability, probability distributions, normal probability distributions, sample variability, statistical inferences involving one and two populations, analysis of variance, linear correlation and regression analysis. Statistical computer software will be extensively integrated as a tool in the description and analysis of data. The instructor will be using and supporting a TI-83 Plus graphing calculator in all classroom demonstrations. PREREQUISITE: MATH 233, or MATH 240, or MATH 233A and MATH 233B, or MATH 242 with a grade of 'C' or better. (Standard Letter Grade.) Effective: Spring 2018.

MATH 6—Calculus for Business/Social Science (3.0)Active

3.0 Lecture. This course applies the fundamental principles and techniques of calculus to problems in business, economics, the life sciences and the social sciences. Topics will include limits, and differentiation and integration of linear, quadratic, polynomial, exponential and logarithmic functions. This course is not intended for students majoring in engineering, the physical sciences or math. Using a calculator is required. Graphing calculator is recommended. (C-ID: MATH 140) PREREQUISITE: Mathematics 235 or Mathematics 240 with a grade of 'C' or better. (Standard Letter Grade.) Effective: Fall 2014.

MATH 7—Finite Mathematics (3.0)Historical

3.0 Lecture. Systems of linear equations and matrices, introduction to linear programming, finance, counting techniques and probability, properties of probability and applications of probability. PREREQUISITE: Mathematics 233 with a grade of PREREQUISITE: Mathematics 235 OR Mathematics 240 OR equivalent with a grade of "C" or better. (Standard Letter Grade.) Effective: Spring 2018 to Spring 2020.

MATH 7—Finite Mathematics (3.0)Active

3.0 Lecture. Systems of linear equations and matrices, introduction to linear programming, finance, counting techniques and probability, properties of probability and applications of probability. PREREQUISITE: Mathematics 233 OR Mathematics 235 OR Mathematics 240 OR equivalent with a grade of "C" or better. (Standard Letter Grade.) Effective: Spring 2020.

MATH 700—Arithmetic (0.0)Active

3.0 Lecture, 1.0 Lab. This course covers arithmetic procedures with whole numbers, fractions, decimals, order of operations, ratios, proportions, percent, integers, measurements and geometry. This course may be offered in an open entry/open exit format. (Non Credit.) Effective: Fall 2018.

MATH 8A—First Half of Precalculus (4.0)Active

4.0 Lecture. Math 8A prepares the student for the study of calculus by providing important skills in algebraic manipulation, interpretation, and problem solving at the college level. Topics will include basic algebraic concepts, complex numbers, equations and inequalities of the first and second degree, functions, and graphs, linear and quadratic equations, polynomial functions, exponential and logarithmic functions, systems of equations, and matrices. (Standard Letter Grade.) Effective: Spring 2019.

MATH 8B—Second Half of Precalculus (4.0)Active

4.0 Lecture. Math 8B prepares students for the study of calculus by providing important skills in algebraic manipulation, interpretation, and problem solving at the college level. Topics will include trigonometric functions, identities, inverse trigonometric functions, and equations; applications of trigonometry, vectors, complex numbers, polar and parametric equations; sequences, series, and mathematical induction; conic sections. PREREQUISITE: Mathematics 8A with a grade of 'C' or better. (Standard Letter Grade.) Effective: Spring 2019.

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