MATH 102: Math Fundamentals: Mathematics for Life

Units: 3
Prerequisites: Knowledge, skills, and abilities at the elementary algebra level as determined by the math placement process.
Acceptable for Credit: CSU, UC
Lecture 2.50 hours, laboratory 1.50 hours.
Course Typically Offered: Fall, Spring, and Summer

This course covers the fundamentals of logic, including fallacies, inductive and deductive reasoning, conditional statements, and the evaluation of arguments; the basic ideas of finance, including simple and compound interest, amortized loans, and retirement accounts; ideas of probability and applications of probability to realistic situations; and problem solving. The course provides students with a strong foundation in quantitative reasoning and mathematical concepts applicable to everyday life situations and long-term decision-making strategies.

MATH 103: Statistics

Units: 4
Prerequisites: Knowledge, skills, and abilities at the intermediate algebra level as determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 103H or MATH 103S.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring, and Summer

This course introduces the use of probability techniques, hypothesis testing, and predictive techniques to facilitate decision-making. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-square, and t-tests; and application of technology for statistical analysis, including the interpretation of the relevance of statistical findings. Students use appropriate statistical techniques to analyze and interpret applications based on data from a broad range of disciplines. UC CREDIT LIMITATION: Credit for BTEC 180/BTEC 180H, BUS 204/BUS 204H, MATH 103/MATH 103S, PSYC 104/PSYC 104H, or SOC 125. Some CSU campuses may also impose this credit limitation. C-ID MATH-110.

MATH 103H: Statistics (Honors)

Units: 4
Prerequisites: Knowledge, skills, and abilities at the intermediate algebra level as determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 103 or MATH 103S.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring, and Summer

This course introduces the use of probability techniques, hypothesis testing, and predictive techniques to facilitate decision-making. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-square, and t-tests; and application of technology for statistical analysis, including the interpretation of the relevance of statistical findings. Students use appropriate statistical techniques to analyze and interpret applications based on data from a broad range of disciplines. This honors course gives students the opportunity to obtain a higher level of understanding on topics currently available in MATH 103. It emphasizes logical reasoning, problem solving, and applications. C-ID MATH-110.

MATH 103S: Statistics with Integrated Support

Units: 5
Prerequisites: Knowledge, skills, and abilities at the intermediate algebra level as determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 103 or MATH 103H.
Acceptable for Credit: CSU, UC
Lecture 4.50 hours, laboratory 1.50 hours.
Course Typically Offered: Fall, Spring, and Summer

This course introduces the use of probability techniques, hypothesis testing, and predictive techniques to facilitate decision-making. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-square, and t-tests; and application of technology for statistical analysis, including the interpretation of the relevance of statistical findings. Students use appropriate statistical techniques to analyze and interpret applications based on data from a broad range of disciplines. The course includes just-in-time support for these topics. UC CREDIT LIMITATION: Maximum credit MATH 103S 4 units. Credit for BTEC 180/BTEC 180H, BUS 204/BUS 204H, MATH 103/MATH 103S, PSYC 104/PSYC 104H, or SOC 125.

MATH 105: Concepts and Structures of Elementary Mathematics I

Units: 3
Prerequisites: Knowledge, skills, and abilities at the elementary algebra level as determined by the math placement process.
Acceptable for Credit: CSU, UC
Lecture 2 hours, laboratory 3 hours.
Course Typically Offered: Fall, Spring

This course covers set theory, problem solving, systems of numeration, elementary number theory, numerical operations, and arithmetic algorithms. It emphasizes cognitive learning and the development of problem solving strategies and techniques. Students work collaboratively in groups and/or independently using manipulatives and models to explore structures and formulate concepts. It is required for students working toward a multiple subject credential in elementary education. UC CREDIT LIMITATION: Credit for MATH 105 or MATH 106.

MATH 106: Concepts and Structures of Elementary Mathematics II

Units: 3
Prerequisites: MATH 105.
Acceptable for Credit: CSU, UC
Lecture 2 hours, laboratory 3 hours.
Course Typically Offered: Spring

This continuation of MATH 105 covers 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 must demonstrate their understanding of the concepts and structures of elementary mathematics using critical thinking. UC CREDIT LIMITATION: Credit for MATH 105 or MATH 106.

MATH 112: Algebraic Concepts for Problem Solving

Units: 3
Prerequisites: Knowledge, skills, and abilities at the elementary algebra level as determined by the math placement process.
Acceptable for Credit: CSU, UC
Lecture 3 hours.
Course Typically Offered: Fall, Spring, and Summer

This course uses algebraic concepts to solve applied problems. It addresses application problems that incorporate linear, quadratic, polynomial, rational, exponential, and logarithmic functions. The course covers some applied modeling, including break even analysis, market equilibrium, linear modeling, and exponential growth, decay, and their models. The course also addresses mathematical topics such as optimization, rates of change, and linear systems.

MATH 115: Calculus with Applications

Units: 5
Prerequisites: Knowledge, skills, and abilities at the intermediate algebra level as determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 115S.
Acceptable for Credit: CSU, UC
Lecture 5 hours.
Course Typically Offered: Fall, Spring, and Summer

This course relates calculus to real-world applications in social science, economics, and business. Topics include an extensive and just-in-time algebra review, graphing, limits, derivatives of polynomials of one variable, maxima and minima, integration, derivatives of logarithmic and exponential functions, development of integration techniques, an introduction to multi-variable calculus, and their application 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, MATH 115S, MATH 150, or MATH 150H. C-ID MATH-140.

MATH 126: Pre-Calculus I: College Algebra

Units: 4
Prerequisites: Knowledge, skills, and abilities at the intermediate algebra level as determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 126S.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring, and Summer

This course covers advanced algebra topics including functions and their properties. Topics include linear, quadratic, polynomial, rational, exponential, and logarithmic functions and their applications, graphs of functions, inverse functions, and systems of equations and inequalities. UC CREDIT LIMITATION: Credit for one college algebra or pre-calculus course, MATH 126, MATH 126S, MATH 131, or MATH 131H.

MATH 126S: Pre-Calculus I: College Algebra with Integrated Support

Units: 5
Prerequisites: Knowledge, skills, and abilities at the intermediate algebra level as determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 126.
Acceptable for Credit: CSU, UC
Lecture 5 hours.
Course Typically Offered: Fall, Spring, and Summer

This course covers advanced algebra topics including functions and their properties. Topics include one unit of intermediate algebra review, linear, quadratic, polynomial, rational, exponential, and logarithmic functions and their applications, graphs of functions, inverse functions, and systems of equations and inequalities. UC Credit limitation: Maximum credit MATH 126S 4 units. Credit for one college algebra or pre-calculus course, MATH 126, MATH 126S, MATH 131, or MATH 131H.

MATH 131: Pre-Calculus II: Trigonometry and Analytic Geometry

Units: 4
Prerequisites: MATH 126, MATH 126S, or eligibility determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 131H.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring, and Summer

This course covers basic concepts of analytic geometry and trigonometry, including definitions and properties of trigonometric functions. Topics include solutions of applied problems involving right triangles; graphs of trigonometric functions; trigonometric identities; trigonometric equation solving; evaluation of inverse trigonometric functions, polar coordinates, and vectors. The course also covers conics, systems of non-linear equations, and sequences and series. UC CREDIT LIMITATION: Credit for one college algebra or pre-calculus course, MATH 126, MATH 126S, MATH 131, or MATH 131H.

MATH 131H: Pre-Calculus II: Trigonometry and Analytic Geometry (Honors)

Units: 4
Prerequisites: MATH 126, MATH 126S, or eligibility determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 131.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring

This course covers basic concepts of analytic geometry and trigonometry, including definitions and properties of trigonometric functions. Topics include solutions of applied problems involving right triangles; graphs of trigonometric functions; trigonometric identities; trigonometric equation solving; evaluation of inverse trigonometric functions, polar coordinates, and vectors. The course also covers conics, systems of non-linear equations, and sequences and series. The course provides mathematically talented students the opportunity to obtain a level of rigor above the level currently available in existing courses. It emphasizes logical reasoning, problem solving, and applications. UC CREDIT LIMITATION: Credit for one college algebra or pre-calculus course, MATH 126, MATH 126S, MATH 131, or MATH 131H.

MATH 135: PreCalculus Mathematics

Units: 6
Prerequisites: None
Enrollment Limitation: Not open to students with prior credit in MATH 126, MATH 126S, MATH 131, or MATH 131H.
Acceptable for Credit: CSU
Lecture 6 hours.
Course Typically Offered: Fall, Spring, and Summer

This course covers functions and their properties as well as basic concepts of analytic geometry and trigonometry. Topics include linear, quadratic, polynomial, rational, trigonometric, inverse trigonometric, exponential, and logarithmic functions; systems of equations and inequalities; solving applied problems with right triangles; trigonometric identities; polar coordinates; conics; vectors; and sequences and series. This course prepares students for MATH 150/MATH 150H.

MATH 150: Calculus and Analytic Geometry I

Units: 5
Prerequisites: MATH 131, MATH 131H, MATH 135, or eligibility determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 150H or MATH 150S.
Acceptable for Credit: CSU, UC
Lecture 5 hours.
Course Typically Offered: Fall, Spring, and Summer

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 functions and their inverses, trigonometric functions and their inverses, and exponential functions and their inverses; integration and the fundamental theorem of calculus; and applications of differentiation and integration. NOTE: A graphing calculator is required. UC CREDIT LIMITATION: Credit for MATH 115, MATH 115S, MATH 150, or MATH 150H. C-ID MATH-211.

MATH 150H: Calculus and Analytic Geometry I (Honors)

Units: 5
Prerequisites: MATH 131, MATH 131H, MATH 135, or eligibility determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 150 or MATH 150S.
Acceptable for Credit: CSU, UC
Lecture 5 hours.
Course Typically Offered: Fall or Spring

This first in a three-semester calculus sequence is designed for highly motivated mathematics, science, and engineering majors. Topics include limits and continuity; differentiation of algebraic functions and their inverses, trigonometric functions and their inverses, and exponential functions and their inverses; integration and the fundamental theorem of calculus; and applications of differentiation and integration. The course provides mathematically talented students the opportunity to obtain a level of rigor above the level currently available in existing courses. It emphasizes logical reasoning, problem solving, and applications. UC CREDIT LIMITATION: Credit for MATH 115, MATH 115S, MATH 150, or MATH 150H. C-ID MATH-211.

MATH 150S: Calculus and Analytical Geometry I with Integrated Support

Units: 7
Prerequisites: Knowledge, skills, and abilities at the intermediate algebra level as determined by the math placement process.
Enrollment Limitation: Not open to students with prior credit in MATH 150 or MATH 150H.
Acceptable for Credit: CSU, UC
Lecture 7 hours.
Course Typically Offered: Fall, Spring

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 functions and their inverses, trigonometric functions and their inverses, and exponential functions and their inverses; integration and the fundamental theorem of calculus; and applications of differentiation and integration. Utilizing a just-in-time approach, the course provides additional support and reviews topics from precalculus. NOTE: A graphing calculator is required. UC CREDIT LIMITATION: Credit for MATH 115, MATH 115S, MATH 150, or MATH 150H.

MATH 155: Calculus and Analytic Geometry II

Units: 4
Prerequisites: MATH 150, MATH 150S, or MATH 150H.
Enrollment Limitation: Not open to students with prior credit in MATH 155H.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring, and Summer

This second course in a three-semester calculus sequence covers advanced integration techniques, improper integrals, infinite sequences and series, conic sections, parametric equations, polar coordinates, and applications of integration. The course is designed for mathematics, science, and engineering majors. UC CREDIT LIMITATION: Credit for MATH 155 or MATH 155H.

MATH 155H: Calculus and Analytic Geometry II (Honors)

Units: 4
Prerequisites: MATH 150, MATH 150S, or MATH 150H.
Enrollment Limitation: Not open to students with prior credit in MATH 155.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring, and Summer

This second course in a three-semester calculus sequence covers advanced integration techniques, improper integrals, infinite sequences and series, conic sections, parametric equations, polar coordinates, and applications of integration. The course is designed for mathematics, science, and engineering majors. The course provides mathematically talented students the opportunity to obtain a level of rigor above the level currently available in existing courses. It emphasizes logical reasoning, problem solving, and applications. UC CREDIT LIMITATION: Credit for MATH 155 or MATH 155H.

MATH 226: Discrete Mathematics

Units: 4
Prerequisites: MATH 150, MATH 150H, MATH 150S, or CS 150.
Enrollment Limitation: Not open to students with prior credit in MATH 226H.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring

Designed for students majoring in mathematics or computer science, this course introduces discrete mathematics, including logic, methods of proof, number theory, sets, counting, discrete probability, relations, recursion, recurrence relations, Boolean algebra, graphs, trees, and networks. Topics are illustrated with applications to computer science, including design and analysis of algorithms, undecidability, program correctness, and digital logic design. UC Credit Limitation: Credit for MATH 226 or MATH 226H.

MATH 226H: Discrete Mathematics (Honors)

Units: 4
Prerequisites: MATH 150, MATH 150H, MATH 150S, or CS 150.
Enrollment Limitation: Not open to students with prior credit in MATH 226.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring

Designed for students majoring in mathematics or computer science, this course introduces discrete mathematics, including logic, methods of proof, number theory, sets, counting, discrete probability, relations, recursion, recurrence relations, Boolean algebras, graphs, trees, and networks. As an honors course, it provides students with the opportunity to analyze applications of formal logic to mathematics, other sciences, and everyday life. Topics are illustrated with applications to computer science, including design and analysis of complexity of algorithms, undecidability, program correctness, and digital logic design. UC Credit Limitation: Credit for MATH 226 or MATH 226H.

MATH 260: Calculus and Analytic Geometry III

Units: 4
Prerequisites: MATH 155 or MATH 155H.
Enrollment Limitation: Not open to students with prior credit in MATH 260H.
Acceptable for Credit: CSU, UC
Lecture 3.50 hours, laboratory 1.50 hours.
Course Typically Offered: Fall, Spring, and Summer

This third course in a three-semester calculus sequence covers vectors in two- and three-dimensional space, quadratic surfaces, vector-valued functions of several variables, partial differentiation and multiple integration, vector fields, line integrals, and conservative fields. The course is designed for mathematics, science, and engineering majors. UC CREDIT LIMITATION: Credit for MATH 260 or MATH 260H. C-ID MATH-230.

MATH 260H: Calculus and Analytic Geometry III (Honors)

Units: 4
Prerequisites: MATH 155 or MATH 155H.
Enrollment Limitation: Not open to students with prior credit in MATH 260.
Acceptable for Credit: CSU, UC
Lecture 3.50 hours, laboratory 1.50 hours.
Course Typically Offered: Fall, Spring, and Summer

This third course in a three-semester calculus sequence offers an enriched experience for students. It covers vectors in the plane and three-dimensional space, quadratic surfaces, vector-valued functions, functions of several variables, partial differentiation and multiple integration, vector fields, and line integrals. The course is designed for mathematics, science, and engineering majors and for students interested in a thorough analysis of concepts, proofs of main results, and connections with other disciplines, particularly probability, physics, and economics. UC CREDIT LIMITATION: Credit for MATH 260 or MATH 260H. C-ID MATH-230.

MATH 265: Differential Equations

Units: 4
Prerequisites: MATH 155 or MATH 155H.
Enrollment Limitation: Not open to students with prior credit in MATH 265H.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring

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 solutions using analytical, numerical, method of power-series, and Laplace transformations. UC CREDIT LIMITATION: Credit for MATH 265 or MATH 265H. C-ID MATH-240.

MATH 265H: Differential Equations (Honors)

Units: 4
Prerequisites: MATH 155 or MATH 155H.
Enrollment Limitation: Not open to students with prior credit in MATH 265.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring, and Summer

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 solutions using analytical, numerical, method of power-series, and Laplace transformations. The course provides students the opportunity to obtain a level of rigor above the level currently available in existing courses. It emphasizes logical reasoning, problem solving, and applications. UC CREDIT LIMITATION: Credit for MATH 265 or MATH 265H. C-ID MATH-240.

MATH 270: Linear Algebra

Units: 4
Prerequisites: MATH 155 or MATH 155H.
Enrollment Limitation: Not open to students with prior credit in MATH 270H.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring

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, eigenvalues and eigenvectors, and computational methods. UC CREDIT LIMITATION: Credit for MATH 270 or MATH 270H. C-ID MATH-250.

MATH 270H: Linear Algebra (Honors)

Units: 4
Prerequisites: MATH 155 or MATH 155H.
Enrollment Limitation: Not open to students with prior credit in MATH 270.
Acceptable for Credit: CSU, UC
Lecture 4 hours.
Course Typically Offered: Fall, Spring

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, eigenvalues and eigenvectors, and computational methods. The course provides students the opportunity to obtain a level of rigor above the level currently available in existing courses. It emphasizes logical reasoning, problem solving, and applications. UC CREDIT LIMITATION: Credit for MATH 270 or MATH 270H.

MATH 292: Internship Studies

Units: 0.5-14
Prerequisites: None
Corequisite: Complete 54 hours of work per unit, paid or unpaid.
Enrollment Limitation: Instructor, dept chair, and Career Center approval. Fourteen unit maximum in any combination of work experience education and/or internship studies per semester.
Acceptable for Credit: CSU
Course Typically Offered: Fall, Spring, and Summer

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 work/intern at a new site upon each enrollment.

MATH 296: Topics in Mathematics

Units: 1-4
Prerequisites: None
Acceptable for Credit: CSU
Lecture 1 hour.
Lecture 2 hours.
Lecture 3 hours.
Lecture 4 hours.
Course Typically Offered: To be arranged

This course gives students an opportunity to study topics in Mathematics that are not included in regular course offerings. Each Topics course is announced, described, and given its own title and 296 number designation in the class schedule.