Mathematics

MATH 101: Intermediate Algebra

Units: 4
Prerequisites: MATH 830 or MATH 830B or qualification through the Math Competency Exam or approved equivalent.
Repeatability Rule: Students may earn a maximum of 4 units in any combination of MATH 101, MATH 101A, MATH 101B.
Lecture 4 hours. (1701.00)

Topics include a study of radicals, exponents, rational expressions, concepts of relations and functions, exponential and logarithmic functions, linear and quadratic functions; and the solutions of equations from these topics. This course is offered in both traditional and self-paced formats.

MATH 101A: Intermediate Algebra Part 1

Units: 2
Prerequisites: MATH 830 or MATH 830B or qualification through the Math Competency Exam or approved equivalent.
Repeatability Rule: Students may earn a maximum of 4 units in any combination of MATH 101, MATH 101A, MATH 101B.
Lecture 2 hours. (1701.00)

This course covers radicals, exponents, rational expressions, concepts of relations and functions, and linear and quadratic functions. Students analyze verbal problems, model with appropriate functions, substitute the unknown values, and solve the resulting equations. Students may be required to take proctored exams.

MATH 101B: Intermediate Algebra Part 2

Units: 2
Prerequisites: MATH 101A.
Repeatability Rule: Students may earn a maximum of 4 units in any combination of MATH 101, MATH 101A, MATH 101B.
Lecture 2 hours. (1701.00)

This algebra course covers rational expressions, relations and functions, and exponential and logarithmic functions. Students may be required to take proctored exams.

MATH 103: Statistics

Units: 4
Prerequisites: MATH 101 or MATH 101B or qualification through the Math Competency Exam or approved equivalent.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 4 hours. (1701.00)

This course introduces data analysis. Topics include design of experiments, descriptive statistics, correlation and regression, probability, sampling, estimation, and significance testing. Students use appropriate technology to analyze real-world data. Students may be required to take proctored exams. UC CREDIT LIMITATION: Credit for MATH 103, BIO 180/BTEC 180, or PSYC 104/SOC 104.

MATH 105: Concepts and Structures of Elementary Mathematics I

Units: 3
Prerequisites: MATH 101 or MATH 101B or qualification through the Math Competency Exam or approved equivalent.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 3 hours. (1701.00)

Subjects include set theory, problem solving, systems of numeration, elementary number theory, numerical operations and arithmetic algorithms. Emphasis throughout is on cognitive learning and developing problem solving strategies and techniques. Students may work collaboratively in groups and/or independently using manipulatives and models to explore the structures and formulate concepts. UC CREDIT LIMITATION: Credit for MATH 105 or MATH 106.

MATH 106: Concepts and Structures of Elementary Mathematics II

Units: 3
Prerequisites: MATH 105 or approved equivalent.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 3 hours. (1701.00)

This course, which is a continuation of MATH 105, is a study of the mathematical concepts needed for teaching elementary school mathematics. Core topics include the real number system, geometry, Pythagorean theorem, measurement in both the English and Metric systems, transformations, and symmetry. Students are required to demonstrate their understanding of the concepts and structures of elementary mathematics using critical thinking. Analytical reading, writing, problem solving, and the ability to do constructive geometry are required for success in this course. UC CREDIT LIMITATION: Credit for MATH 105 or MATH 106.

MATH 115: Calculus with Applications

Units: 4
Prerequisites: MATH 101 or MATH 101B or qualification through the Math Competency Exam or approved equivalent.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 4 hours. (1701.00)

This course relates calculus to real-world applications in social science, economics, and business. Topics include an algebra review, graphing, limits, derivatives of logarithmic and exponential functions, development of integration techniques, and an introduction to multi-variable calculus, and their applications to problems. This course is designed primarily for students majoring in social science, economics, and business who require calculus and is not recommended for mathematics, physical science, engineering, or biological science majors. UC CREDIT LIMITATION: Credit for MATH 115 or MATH 150.

MATH 125: College Algebra

Units: 3
Prerequisites: MATH 101 or MATH 101B or qualification through the Math Competency Exam or approved equivalent.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 3 hours. (1701.00)

Topics include a review of techniques for solving algebraic equations and inequalities; definitions and properties of functions and inverse functions; graphs of linear, quadratic, and other polynomial functions and of rational functions; translations and combinations of functions; zeros of polynomial functions; definitions, graphs, and properties of exponential and logarithmic functions; techniques for solving exponential and logarithmic equations; and techniques for solving systems of equations. UC CREDIT LIMITATION: Credit for MATH 125 or MATH 135.

MATH 130: Trigonometry

Units: 3
Prerequisites: MATH 101 or MATH 101B or qualification through the Math Competency Exam or approved equivalent.
Acceptable for Credit: CSU
Lecture 3 hours. (1701.00)

Topics include definitions and properties of trigonometric functions; solutions of applied problems involving right triangles; graphs of trigonometric functions including period changes, amplitude changes, and phase shifts; trigonometric identities; trigonometric equation solving; and evaluation of inverse trigonometric functions.

MATH 135: Pre-Calculus Mathematics

Units: 5
Prerequisites: MATH 130 or qualification through the Math Competency Exam or approved equivalent.
Corequisite: MATH 130 if prerequisite not met.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 5 hours. (1701.00)

A study of functions and their properties. Topics include linear, quadratic, polynomial, rational, trigonometric, exponential, and logarithmic functions; systems of equations and inequalities; and conics. NOTE: A graphics calculator is required. Please attend the first class meeting before purchasing. UC CREDIT LIMITATION: Credit for MATH 125 or MATH 135.

MATH 150: Calculus and Analytic Geometry I

Units: 5
Prerequisites: MATH 130 and MATH 135 or qualification through the Math Competency Exam or approved equivalent.
Acceptable for Credit: CSU, UC Credit limitation
Lecture 5 hours. (1701.00)

This course is the first in a three-semester calculus sequence designed for mathematics, science, and engineering majors. Topics include limits and continuity; differentiation of algebraic, trigonometric, and exponential functions and their universe; integration and the Fundamental Theorem of Calculus; and applications of differentiation and integration. NOTE: A graphics calculator is required. Please attend the first class meeting before purchasing. UC CREDIT LIMITATION: Credit for MATH 115 or MATH 150.

MATH 155: Calculus and Analytic Geometry II

Units: 4
Prerequisites: MATH 150 or approved equivalent.
Acceptable for Credit: CSU, UC
Lecture 4 hours. (1701.00)

This second course in a three-semester calculus sequence covers advanced integration techniques, improper integrals, infinite series, conic sections, parametric equations, and polar coordinates. This course is designed for mathematics, science, and engineering majors. NOTE: A graphics calculator is required. Please attend the first class meeting before purchasing.

MATH 226: Discrete Mathematics

Units: 3
Prerequisites: MATH 135 or qualification through the Math Competency Exam or approved equivalent.
Acceptable for Credit: CSU, UC
Lecture 3 hours. (1701.00)

Designed for students majoring in mathematics or computer science, this introduces discrete mathematics including logic, methods of proof, number theory, sets, counting, relations, recursion, recurrence relations, and Boolean algebra. Topics will be illustrated with applications to computer science, including design and analysis of algorithms, undecidability, program correctness, digital logic design, and others.

MATH 260: Calculus and Analytic Geometry III

Units: 4
Prerequisites: MATH 155 or approved equivalent.
Acceptable for Credit: CSU, UC
Lecture 4 hours. (1701.00)

This third course in a three-semester calculus sequence covers vectors in two and three space, graphs of quadric surfaces, vector-valued functions of several variables, partial differentiation and multiple integration, vector fields, and line integrals and conservative fields. The course is designed for mathematics, science, and engineering majors.

MATH 265: Differential Equations

Units: 3
Prerequisites: MATH 155 or approved equivalent.
Acceptable for Credit: CSU, UC
Lecture 3 hours. (1701.00)

This course introduces the theory and applications of ordinary differential equations of first and higher (mostly second) order as well as systems of linear differential equations. It includes both quantitative and qualitative methods. The course deals with theoretical aspects of existence and uniqueness of solutions as well as techniques for finding these solutions: analytical, numerical, power-series. The course is designed for the transfer student planning to major in mathematics, engineering, computer science, or physical sciences.

MATH 270: Linear Algebra

Units: 3
Prerequisites: MATH 260 or approved equivalent.
Corequisite: MATH 260 if prerequisite not met.
Acceptable for Credit: CSU, UC
Lecture 3 hours. (1701.00)

This course introduces students to the concepts of linear algebra. Topics include matrix algebra, Gaussian elimination, determinants of a matrix, properties of determinants, vector spaces and their properties with an introduction to proofs, linear transformations, orthogonality, and eigenvalues and eigenvectors.

MATH 292: Internship Studies

Units: 0.5-3
Prerequisites: None
Corequisite: Complete 60 non-paid or 75 paid hours of work per unit.
Acceptable for Credit: CSU
(1701.00)

This course provides students the opportunity to apply the theories and techniques of their discipline in an internship position in a professional setting under the instruction of a faculty-mentor and site supervisor. It introduces students to aspects of the roles and responsibilities of professionals employed in the field of study. Topics include goal-setting, employability skills development, and examination of the world of work as it relates to the student's career plans. Students must develop new learning objectives and/or intern at a new site upon each repetition. Students may not earn more than 16 units in any combination of cooperative work experience (general or occupational) and/or internship studies during community college attendance.

MATH 296: Topics in Mathematics

Units: 1-3
Prerequisites: None
Acceptable for Credit: CSU
Lecture 1 hour or Laboratory 3 hours.
Lecture 2 hours or Lecture 1 hours, Laboratory 3 hours.
Lecture 3 hours or Lecture 2 hours, Laboratory 3 hours. (1701.00)

A study of relevant topics in the discipline not covered in the current selection of courses. Designed to meet special needs; content determined by participating faculty members in consultation with students and the community.

MATH 820: Pre-Algebra

Units: 4
Prerequisites: None
Repeatability Rule: Students may earn a maximum of 4 units in any combination of MATH 820, MATH 820A, MATH 820B.
Lecture 4 hours. (1701.00)

This course prepares students for Elementary Algebra (MATH 830). Topics include operations on positive and negative numbers; fractions, decimals, and percents; perimeters, areas, and volumes of geometric figures; fundamental algebraic concepts; square roots; and applications. Students may be required to take proctored exams.

MATH 820A: Pre-Algebra Part 1

Units: 2
Prerequisites: None
Repeatability Rule: Students may earn a maximum of 4 units in any combination of MATH 820, MATH 820A, MATH 820B.
Lecture 2 hours. (1701.00)

This course is designed as the first half of the Pre-Algebra course. Successful completion of this course together with MATH 820B is equivalent to MATH 820. Topics include operations on positive and negative numbers; review of fractions, decimals, and percents; and fundamental algebraic concepts. Students may be required to take proctored exams.

MATH 820B: Pre-Algebra Part 2

Units: 2
Prerequisites: MATH 820A.
Repeatability Rule: Students may earn a maximum of 4 units in any combination of MATH 820, MATH 820A, MATH 820B.
Lecture 2 hours. (1701.00)

This successor course to MATH 820A prepares students for Elementary Algebra (MATH 830). Topics include perimeters, areas, and volumes of geometric figures, fundamental algebraic concepts, square roots, and applications. Students may be required to take proctored exams.

MATH 830: Elementary Algebra

Units: 4
Prerequisites: MATH 820 or MATH 820B or qualification through the Math Competency Exam or approved equivalent.
Enrollment Limitation: Students may earn a maximum of 4 units in any combination of MATH 830, MATH 830A, MATH 830B.
Lecture 4 hours. (1701.00)

Designed to prepare students for Intermediate Algebra, Elementary Algebra teaches simplifying algebraic expressions involving polynomials and rational terms; factoring; solving linear equations; solving quadratic equations using factoring; analyzing graphs of linear equations; and solving applied problems. This course is offered in both traditional and self-paced formats. (Formerly MATH 100.)

MATH 830A: Elementary Algebra Part 1

Units: 2
Prerequisites: MATH 820 or MATH 820B or qualification through the Math Competency Exam or approved equivalent.
Repeatability Rule: Students may earn a maximum of 4 units in any combination of MATH 830, MATH 830A, MATH 830B.
Lecture 2 hours. (1701.00)

This first half of Elementary Algebra covers simplifying algebraic expressions involving polynomials, solving linear equations, analyzing graphs of linear equations, and solving applied problems. Students may be required to take proctored exams. (Formerly MATH 100A.)

MATH 830B: Elementary Algebra Part 2

Units: 2
Prerequisites: MATH 830A.
Repeatability Rule: Students may earn a maximum of 4 units in any combination of MATH 830, MATH 830A, MATH 830B.
Lecture 2 hours. (1701.00)

This second half of Elementary Algebra covers simplifying algebraic expressions involving rational expressions, factoring, solving quadratic equations using factoring, and solving applied problems. Students may be required to take proctored exams. (Formerly MATH 100B.)