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This course is designed to introduce students to the basic skills necessary for academic success in the discipline of Mathematics and to provide students with an overview of professions in which that major may be applied. (1 Units)

This course will include instruction in the following areas covering the K-8 California Standards: critical thinking, sets, systems of numeration, number theory, the real number system, two- and three-dimensional geometry, representational systems, methods for determining measurement, statistics, data analysis, and probability. Students will analyze complex problems, apply logical reasoning techniques, evaluate the truth of mathematical statements, and apply different solution strategies. Prerequisite: MAT115 (3 Units)

Basic concepts of analytical geometry, limits and derivatives, differentials and rates, integration, definite and indefinite integrals, differentiation of logarithmic and exponential functions. Prerequisite: MAT135 or EGR182 or MAT145 (4 Units)

The study of symbolic languages, such as Mathematics, Maple, and MATLAB, for the use and application in Calculus and modeling courses. Prerequisite: MAT245 (2 Units)

Continued study and applications of integration: volumes, lengths, surface of revolution; derivatives and integrals involving trigonometric functions, infinite series, expansion of functions, hyperbolic functions, law of the mean, partial fractions, polar coordinates, and conic sections. Prerequisite: MAT245 (4 Units)

The first course in a 2-semester calculus-based physics sequence for science and mathematics majors. A study of mechanics, heat and thermodynamics, waves, sound, and the mathematical methods of physics. Should be taken with PHY 214L - Physics for Scientists I Lab and PHY 214D - Physics for Scientists I Discussion. Prerequisite: MAT145 or MAT245 (3 Units)

This laboratory course, designed to be taken concurrently with PHY 214 - Physics for Scientists I, emphasizes scientific measuring and reporting techniques. Observational laboratories will reinforce topics in mechanics, including kinematics, Newton's Laws, momentum, energy, waves, sound, and thermodynamics. (1 Units)

Mathematical theory and applications, development of formulae, principles of statistical decision theory, descriptive measurements, probability concepts, random variables, normal distribution, inferential statistics, sampling distributions, confidence intervals, hypothesis testing, chi-squared procedures, linear regression, and the use of computers in statistics. (3 Units)

This course will equip candidates with the theories and practices connected to working with diverse student populations. Candidates will examine the manner in which societal and cultural forces have impacted current perspectives of equity especially as they relate to special needs and English language learning students. The role of assessment in determining student needs and designing appropriate pedagogical strategies will also be emphasized. This course will solidify understanding of the strengths-based approach to making adaptations required in the TPA process. (3 Units)

The nature, determinants, adjustments, and problems of persons with intellectual gifts, intellectual disabilities, physical disabilities, learning disabilities, health problems, and emotional problems will be studied in conjunction with appropriate educational interventions in the general education Middle and High School classroom setting. (3 Units)

A study of various methods of proofs and mathematical structures covering logic, universal and existential quantifiers, sets, functions, and selected topics in discrete mathematics, linear algebra, abstract algebra, and real analysis. This is a bridge course to abstract mathematics and should be taken prior to or concurrently with courses in linear or abstract algebra, and real or complex analysis. Prerequisite: MAT245 (3 Units)

A calculus based course covering discrete and continuous distributions, expectations, the normal distribution, the central limit theorem, the binomial distribution, and various topics in statistical theory such as point estimation, hypothesis testing, and linear regression. Prerequisite: MAT245 (3 Units)

Vector spaces; matrices, rank and systems of linear equations; linear transformation; similarity and diagonalization theorems; eigenvectors and eigenvalues. Prerequisite: MAT313 or (MAT245,EGR225) (3 Units)

An advanced study of concepts of Euclidean geometry and an introduction to non-Euclidean geometry. Theorems and proofs are emphasized. Prerequisite: MAT313 (3 Units)

This senior seminar provides mathematics majors with an opportunity to reflect on their academic journey, explore the ethical dimensions of mathematics and technology, integrate the biblical worldview with their understanding of mathematics, and prepare for their future professional endeavors. The course will combine reflective essays, readings, group discussion, and practical activities to equip students with the tools and insights needed for their transition from academic to professional life. Prerequisite: MAT313 (1 Units)