Courses

The nature, determinants, adjustments, and problems of persons who have cognitive gifts and talents, cognitive delays, physical disabilities, learning disabilities, and who have emotional or behavior disorders will be studied in conjunction with appropriate educational interventions in the mainstream classroom and other settings. The course will acquaint students with (a) characteristics and needs of children with disabilities that affect learning, (b) methods of assessing disabilities, (c) components of the Individual Education Program (IEP), (d) instructional strategies and material, (e) positive behavior support, (f) special needs of families of learners with disabilities, (g) agencies and professional supporting learners with disabilities, and (h) legislation, including Public Law 94-142, IDEA (Part B and Part H), the American Disabilities Act (ADA), and the Rehabilitation Act of 1973 (“Section 504”), as well as subsequent amendments relevant to special education. Ten hours of fieldwork is required. A certificate of clearance is required prior to engaging in fieldwork. (3 units; Fall, Spring, & Online)

This course will equip candidates to appraise the relationship between the theories and practices of human development and teaching and learning methods. Specifically, candidates will examine the manner in which world view perspectives of developmental forces impact classroom policies and procedures. 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 the pedagogical decisions required in the TPA process. Four (4) hours of fieldwork is required. (3 units; As offered)

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. Ten (10) hours of fieldwork is required. Prerequisite: Credential Program Acceptance, EDU 409, 410, and ETC 407. (3 units; As offered)

Candidates will examine and apply various instructional theories and technologies to enhance student engagement and achievement. Candidates will demonstrate proficiency in various computer, web, and mobile device applications for the K-12 classroom and evaluate their relative effectiveness in relation to student achievement.(3 units; As offered)

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: MAT 245. (3 units, Fall/Spring)

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: MAT 245. (3 units; Fall)

A study of the History of Mathematics from ancient to modern times: Elementary topics in number theory, linear congruencies, Fermat and Wilson theorems, quadratic reciprocity laws. Pre- or Co- Requisite: MAT 313. (3 units; Fall, odd years)

Vector spaces; matrices, rank and systems of linear equations; linear transformation; similarity and diagonalization theorems; eigenvectors and eigenvalues. Prerequisites: MAT 313, or 245 and EGR 225. (3 units; Spring)

An advanced study of concepts of Euclidean geometry and an introduction to non-Euclidean geometry. Theorems and proofs are emphasized. Prerequisite: MAT 313. (3 units; Spring, even years)

The course is designed to be a culminating experience for senior students who are preparing to teach mathematics at the junior/senior high school level. The course provides students an opportunity to reflect on the critical assignments that have been completed throughout their coursework and relate these lessons to the career of teaching. Prerequisite: Permission of Department Chair. (4 units; Fall/Spring)

Study and applications of vector analysis, partial differentiation, multiple integration, Jacobians, theorems of Green and Stokes, and divergence theorem. Prerequisite: MAT 255. (4 units; Fall/Spring)

An introduction to real analysis and topology covering the completeness of the real numbers, sequences, limits, continuity, uniform continuity, Riemann integrability, topology of the real numbers, topological spaces, connectedness, compactness, and metric spaces. Prerequisite: MAT 313. (3 units; Spring)

A study of mechanics, heat and thermodynamics, waves, sound, and the mathematical methods of physics. Should be taken with PHY 214L - Physics I Lab. Prerequisite: MAT 145 or 245. (3 units; Fall/Spring)

This laboratory course, designed to be taken concurrently with PHY 214 - Physics I, emphasizes scientific measuring and reporting techniques. Observational laboratories will reinforce topics in mechanics, including kinematics, Hooke's Law, momentum and inertia, and waves. Additional course ree. Pre- or Co- Requisite: PHY 214. (1 unit; Fall/Spring)

A continuation of Physics I, including a study of electricity, magnetism, electromagnetic waves, optics, and modern physics topics. Should be taken with PHY 224L. Prerequisite: PHY 214. (3 units; Spring)

This laboratory course, designed to be taken concurrently with Physcis II, emphasizes scientific measuring and reporting techniques. Observational laboratories will reinforce topics in waves, optics, electricity, and thermodynamics. Additional Lab Fee. Pre- or Co- Requisite: PHY 224. (1 unit; Spring)