**Please make note of the following when making course selections:**

- In addition to satisfying course prerequisites, students planning to enroll in Math 3, 4, 5, 13, and 27, or CS 21
**must**satisfy the Placement Requirements of the Department. - Enrollment in Math 5 or 6 is only open to Justice, Community, and Leadership majors.
- Enrollment in Math 3 is not open to Seniors.
- Enrollment in Math 4 is not open to Psychology majors or minors.
- Students enrolled in Math 2, 12, 13, or 14
**must**be concurrently enrolled in a tutorial session for the corresponding course. - All math courses
**except**for Math 2, 5, and 12 satisfy the Mathematical Understanding learning outcomes of the Core Curriculum.

## Lower Division Math Courses

**Math 2: Math Readiness**

This is a preparatory course for Math 3, 4, or 5. It covers basic algebra and geometry concepts including number systems, polynomials, solving equations and inequalities, graphs, functions, lines, systems of equations, sets and operations, ratios, proportions, measurement and percents. Emphasis will be placed on problem solving, critical thinking and mathematical reasoning. *Prerequisites*: One year each of high school Algebra I and Geometry. Students who have also completed Algebra II with a C– or better should take the Placement Exam before taking this course. *Note*: Students have the option of taking Intermediate Algebra at another college to satisfy this requirement. Any course taken at another institution must be approved by the Department, and it must be passed with a grade of C– or better. This course does NOT satisfy the Mathematical Understanding requirement of the Core Curriculum.

**Math 3: Finite Mathematics **

Topics and applications for this course are selected from linear equations and matrices, linear programming, Markov chains, game theory, and graphs. The emphasis is on applications to business and management sciences. *Prerequisites:* One year each of high school Algebra I, II and Geometry, or equivalent, and satisfaction of Placement Requirements. This course satisfies the Mathematical Understanding requirement of the Core Curriculum.

**Math 4: Introduction to Probability and Statistics **

This course covers the study of combinations and permutations, descriptive and inferential statistics, probability and probability distributions, hypothesis testing, regression, and correlation, along with applications in a variety of practical settings. This course may not be taken for credit in addition to Business Administration 40 or Psychology 3. *Prerequisites:* One year each of high school Algebra I, II and Geometry, or equivalent, and satisfaction of Placement Requirements. This course satisfies the Mathematical Understanding requirement of the Core Curriculum.

**Math 5: Fundamental Mathematical Concepts I **

This course is the first in a two-course sequence designed for the mathematical preparation of the future elementary school teacher. The content addressed in this course covers three of the five California Mathematics Standards; these standards are (i) Number and Quantity, (ii) Algebra and Functions, and (iii) Modeling and Problem Solving. Emphasis will be placed on connecting the mathematical content with the Standards of Mathematical Practice from the California Common Core State Standards of Mathematics. This course is only for education track and Teacher for Tomorrow program students in the Justice, Community, and Leadership program. *Prerequisites*: One year each of high school Algebra I, II and Geometry, or equivalent, and and satisfaction of Placement Requirements. This course does NOT satisfy the Mathematical Understanding requirement of the Core Curriculum.

**Math 6: Fundamental Mathematical Concepts II **

This course is the second course in the two-course sequence designed for the mathematical preparation of the future elementary school teacher. The content addressed in this course covers two of the five California Mathematics Standards; these standards are (i) Geometry and (ii) Probability and Statistics. Emphasis will be placed on connecting the content with the Standards of Mathematical Practice from the California Common Core State Standards of Mathematics and mathematical reasoning. This course is only for education track and Teacher for Tomorrow program students in the Justice, Community, and Leadership program. *Prerequisites*: Math 5 and the passing of the mathematics portion of the CBEST (California Basic Educational Skills Test). This course satisfies the Mathematical Understanding requirement of the Core Curriculum.

**Math 10: The Art and Practice of Mathematics **

A reflective examination of basic mathematical ideas and patterns. Through participation in the discovery and development of mathematical ideas, the student will view the subject as a vehicle for human creativity. The course traces the historical and contemporary role of appropriate mathematical topics. *Prerequisites:* One year each of high school Algebra I, II and Geometry, or equivalent; English 5, and Collegiate Seminar 1. This course satisfies the Mathematical Understanding requirement of the Core Curriculum.

**Math 12: Math Readiness for Calculus**

This is a preparatory course for Math 13, 27. It includes the basic study of number systems, linear equations and inequalities, quadratic equations and inequalities, polynomials, rational expressions, radicals, exponentials, functions, inverse functions, logarithmic and exponential functions, angles, triangles, surface area, volume and applications. Emphasis will be placed on problem solving, critical thinking and mathematical reasoning. *Prerequisites*: One year each of high school Algebra I and Geometry. Students who have also completed Algebra II with a C– or better should take the Placement Exam before taking this course. *Note*: Students have the option of taking Intermediate Algebra at another college to satisfy this requirement. Any course taken at another institution must be approved by the Department, and it must be passed with a grade of C- or better. Does not satisfy the Core Mathematical Understanding requirement. See Math Placement for more information.

**Math 13-14: Calculus with Elementary Functions I, II **

A survey of polynomial, trigonometric, logarithmic and exponential functions combined with differential calculus of functions of one variable and mathematical reasoning. This calculus sequence is intended for students who need to strengthen their precalculus skills. The sequence Math 13-14 is equivalent to Math 27. *Prerequisites:* For Math 13: one year each of high school Algebra I, II and Geometry, or equivalent, and satisfaction of Placement Requirements. For Math 14: Math 13 or equivalent. Both courses satisfy the Mathematical Understanding requirement of the Core Curriculum.

**Math 27: Calculus I **

Limits, continuity, trigonometry, mathematical induction and reasoning, the derivative, applications of the derivative, antiderivatives, and the integral. *Prerequisites:* One year each of high school Algebra I, II and Geometry, and Precalculus, or equivalent, and satisfaction of Placement Requirements. This course satisfies the Mathematical Understanding requirement of the Core Curriculum.

**Math 28: Calculus II with Applications **

This course is designed for students majoring in the life sciences, health sciences, business administration, psychology, and accounting. Topics include techniques and applications of integration, first order differential equations, functions of several variables, double integrals, and applications. *Prerequisite:* Math 27, or equivalent.

**Math 38: Calculus II **

This course is designed for mathematics, physics, computer science, engineering, and chemistry majors. Topics include techniques and applications of integration, infinite sequences and series, power series, polar coordinates, and inverse trigonometric functions. *Prerequisite:* Math 27, or equivalent.

**Math 39: Calculus III **

A rigorous treatment of limits for functions of one and several variables, differentiation and integration of functions of several variables, coordinate systems, vectors, line and surface integrals, Green’s, Stokes’ and the Divergence Theorems. *Prerequisites:* One year of high school Trigonometry and Math 38, or equivalent.

## Upper Division Math Courses

**Math 103: Intro to Upper Division Mathematics**

This course is an introduction to mathematical logic and proofs and includes an introduction to Abstract Algebra. Students will learn to write proofs using standard proof-writing organization and terminology. Topics from algebra will include the division algorithm, modular arithmetic, rings and groups. *Prerequisites*: English 5 and Math 38, or equivalent. Completion of Math 103 + Math 193 satisfies the Writing in the Discipline requirement of the Core Curriculum.

**Math 111: Abstract Algebra**

Topics include groups, rings, modules, vector spaces, fields, and Galois theory. *Prerequisites:* Math 103 and Math 120, or permission of instructor

**Math 113: Probability and Statistics **

Discrete and continuous random variables, expectation and variance, independence, distributions and the Central Limit Theorems. Survey of statistical methods: estimation, sampling, hypothesis testing, linear regression, and confidence intervals. *Prerequisite:* Math 28 or 38, or equivalent.

**Math 114: Mathematical Modeling**

An introduction to the formulation, analysis and interpretation of results of mathematical models in the study of real-life problems chosen from the various areas of natural sciences, social sciences, economics and business. *Prerequisites*: Math 28 or Math 38, or equivalent, and CS 21.

**Math 115: Number Theory **

Results studied include the Fundamental Theorem of Arithmetic, the Euclidean Algorithm, congruence, Fermat’s Little Theorem and Euler’s generalization, Diophantine equations, and the Law of Quadratic Reciprocity. *Prerequisite:* Math 103, or equivalent.

**Math 120: Linear Algebra with Applications **

Matrices, simultaneous linear equations, linear transformations, vector spaces, bases, determinants, eigenvectors, Gram-Schmidt orthonormalization, and applications. *Prerequisite:* Math 28 or Math 38, or equivalent.

**Math 131: Topology**

This course covers the fundamentals of point-set topology including topological spaces, metric spaces, continuous maps, separation axioms, connectedness, and compactness. *Prerequisite*: Math 103, or permission of instructor.

**Math 134: Differential Equations **

Ordinary differential equations, existence and uniqueness theorems, some numerical methods, Laplace transforms, series solution, linear systems with constant coefficients, partial differential equations, separation of variables, Fourier series. *Prerequisites:* Math 39, or Math 38 and Math 120, or equivalent.

**Math 140: Combinatorics and Discrete Mathematics **

This course focuses on discrete structures and their relations. Topics may include counting techniques, relations, graph theory, and logic. *Prerequisite:* Math 28 or Math 38, or equivalent.

**Math 150: Advanced Calculus **

A rigorous review of the theory of single variable calculus, topology of *n*-space, integration and differentiation, improper integrals, differential forms, the theorems of Stokes and Gauss. *Prerequisite:* Math 39 and Math 103, or permission of instructor.

**Math 185: Complex Variables **

Differentiation and integration of analytic functions of a complex variable, power series, residues, conformal mappings. *Prerequisite:* Math 39 and Math 103, or permission of instructor.

**Math 190 Special Topics in Mathematics **

An upper-division mathematics course not listed above, such as Differential Geometry, Numerical Analysis, or Information Theory. May be repeated for credit as topics vary. *Prerequisites:* depend on topic.

**Math 193: Senior Seminar **

An in-depth critical examination of a topic in contemporary mathematics. The course consists of directed reading, presentations, research, and the writing of a final essay under the supervision of the instructor. At the conclusion of the semester, students are expected to present their work at a departmental colloquium of faculty and students. The essay is evaluated by a committee consisting of both faculty and students. *Prerequisites:* Math 103 and senior or second-semester junior standing. Completion of Math 103 + Math 193 satisfies the Writing in the Discipline requirement of the Core Curriculum.

**Math 197 Special Study **

Independent research of topics not covered in listed courses. *Permission of the chairperson is required.*

**Math 199 Special Study – Honors **

Independent study or research for majors with at least a B average in mathematics. *Permission of the chair is required.*

## Lower Division CS Courses

**CS 21: Programming**

An introduction to problem-solving concepts and program design. Topics covered include top-down design with a structured programming language, bottom-up testing, control statements, and structured data types. No prior knowledge of programming is required. The language for the course is Python or C++: students with a knowledge of another programming language with find the course valuable. *Prerequisite:* Math 27 or permission of instructor.

## Upper Division CS Courses

**CS 102: Advanced Programming**

A continuation of CS 21. Topics include recursion, an introduction to data structures, analysis of algorithms, and object-oriented programming. Programming style and large program development are emphasized. *Prerequisite:* CS 21 or equivalent.

**CS 110: Computer Systems **

Computer structure and machine languages, assembly language macros, file I/O, program linkage, and segmentation. *Prerequisite:* CS 102 or equivalent.

**CS 174: Analysis of Algorithms **

Basic notions of the design and efficiency of computer algorithms, non-numerical algorithms for sorting and searching, and numerical algorithms. Underlying data structures are examined. *Prerequisites*: CS 102 and Math 28 or equivalent.

**CS 190: Topics in Computer Science **

This course presents connections among different disciplines which apply the principles of computer science. The theme varies. Students are required to complete a significant project involving their primary discipline. *Prerequisites*: depend on topic.

**CS 197: Special Study **

Independent study in topics not covered in listed courses. *Permission of the chairperson is required.*