Courses

 Major Requirements

  

Lower Division Requirements

CIS268 Computer Programming Languages

In this course concepts of computer programming languages are presented. Attention is given to the common constructs of programming languages as well as a structured approach to program development. The programming language may change from semester to semester. (3 units; Spring)

CIS268-A
Corso, Anthony J.
09/07/2021 WF 8:15 AM - 9:15 AM Engineering ONLN
CIS268-A
Corso, Anthony J.
01/10/2022 WF 9:30 AM - 10:30 AM James Complex ONLN

MAT245 Analytcl Geometry and Calculus I

Basic concepts of analytical geometry, limits and derivatives, differentials and rates, integration, definite and indefinite integrals, differentiation of logarithmic and exponential functions. Prerequisites: MAT 135, 145, EGR 182, or sufficient SAT, ACT or math placement exam scores and appropriate high school mathematics background. (4 units; Fall/Spring)

MAT245-B
Duran, Nathan Felipe
09/07/2021 T 9:30 AM - 10:30 AM Yeager Center B112
MAT245-A
Cordero, Ricardo J.
09/07/2021 Th 8:15 AM - 9:15 AM Mission Hall 109
MAT245-A
Willett, Robert James
01/10/2022 Th 8:15 AM - 9:15 AM Health Science Campus L243
MAT245-B
Willett, Robert James
01/10/2022 Th 9:30 AM - 10:30 AM Health Science Campus L243
MAT245-A
Willett, Robert James
05/09/2022 - Online
MAT245-B
Willett, Robert James
07/05/2022 - Online

MAT250 Modelng and Apps of Calculus

The study of symbolic languages, such as Mathematics, Maple, and MATLAB, for the use and application in Calculus and modeling courses. Prerequisite: MAT 245. (2 units; Spring)

MAT250-A
Sill, Michael R.
01/10/2022 WF 12:00 PM - 1:00 PM Yeager Center B113

MAT255 Anlytcl Geometry and Calculus II

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: MAT 245. (4 units; Fall/Spring)

MAT255-B
Willett, Robert James
09/07/2021 MWF 1:15 PM - 2:15 PM BUS ONLN
MAT255-A
Willett, Robert James
09/07/2021 MWF 9:30 AM - 10:30 AM Mission Hall ONLN
MAT255-A
Willett, Robert James
01/10/2022 MWF 8:45 AM - 9:30 AM BUS 203
MAT255-A
Willett, Robert James
07/05/2022 - Online

PHY214 Physics I

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)

PHY214-A
Buchholz, James R
09/07/2021 MWF 9:30 AM - 10:30 AM Yeager Center A110
PHY214-B
Buchholz, James R
09/07/2021 MWF 10:45 AM - 11:45 AM BUS 124
PHY214-B
Grant, Ted William
01/10/2022 MWF 8:15 AM - 9:15 AM Yeager Center B252
PHY214-A
Grant, Ted William
01/10/2022 MWF 8:15 AM - 9:15 AM Yeager Center B252
PHY214-A
Buchholz, James R
05/09/2022 Th 9:30 AM - 2:30 PM BUS

PHY214L Physics I Lab

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)

PHY214L-F
Lee, Yeon_Suk
09/07/2021 T 6:00 PM - 8:45 PM James Complex 122
PHY214L-A
Grant, Ted William
09/07/2021 M 3:00 PM - 5:45 PM James Complex 122
PHY214L-C
Grant, Ted William
09/07/2021 W 3:00 PM - 5:45 PM James Complex 122
PHY214L-E
Chediak, Juan A.
09/07/2021 Th 2:00 PM - 4:45 PM James Complex 122
PHY214L-G
Lee, Yeon_Suk
09/07/2021 Th 5:30 PM - 8:15 PM James Complex 122
PHY214L-B
Lee, Yeon_Suk
09/07/2021 F 3:00 PM - 5:45 PM James Complex 122
PHY214L-B
Gabler, Christopher T.
01/10/2022 F 3:45 PM - 5:30 PM James Complex 122
PHY214L-A
Grant, Ted William
01/10/2022 M 6:00 PM - 8:45 PM James Complex 122
PHY214L-A
Buchholz, James R
05/09/2022 Sa 8:00 AM - 12:00 PM James Complex 122

PHY224 Physics II

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)

PHY224-A
Buchholz, James R
01/10/2022 MWF 9:30 AM - 10:30 AM BUS 203
PHY224-B
Buchholz, James R
01/10/2022 MWF 10:45 AM - 11:45 AM BUS 123
PHY224-A
Buchholz, James R
07/05/2022 Th 9:30 AM - 2:30 PM BUS

PHY224L Physics II Lab

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)

PHY224L-E
Gabler, Christopher T.
01/10/2022 Th 5:30 PM - 8:15 PM James Complex 121
PHY224L-F
Lee, Yeon_Suk
01/10/2022 F 4:00 PM - 6:45 PM James Complex 121
PHY224L-B
STAFF, STAFF
01/10/2022 T 5:30 PM - 8:15 PM James Complex 121
PHY224L-D
Grant, Ted William
01/10/2022 W 6:00 PM - 8:45 PM James Complex 121
PHY224L-A
Grant, Ted William
01/10/2022 W 3:00 PM - 5:45 PM James Complex 121
PHY224L-C
Grant, Ted William
01/10/2022 M 3:00 PM - 5:45 PM James Complex 121
PHY224L-A
Buchholz, James R
07/05/2022 Sa 8:00 AM - 12:00 PM James Complex 121

 

Upper Division Requirements

MAT313 Math Proof And Structures

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)

MAT313-A
Hernandez, Lisa
09/07/2021 MWF 12:00 PM - 1:00 PM Mission Hall 126
MAT313-A
Hernandez, Lisa
01/10/2022 MWF 12:00 PM - 1:00 PM Mission Hall 125

MAT323 Abstract Algebra I

An introduction to the structure of algebraic systems such as groups, subgroups, cosets, homomorphisms, factor groups, rings and fields. Prerequisite: MAT 313. (3 units; Spring)

MAT323-A
Hernandez, Lisa
01/10/2022 TTh 12:15 PM - 1:45 PM Mission Hall 126

MAT343 Multivariable Calculus

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)

MAT343-B
Duran, Nathan Felipe
09/07/2021 T 8:15 AM - 9:15 AM Yeager Center A110
MAT343-A
Duran, Nathan Felipe
09/07/2021 T 8:15 AM - 9:15 AM Yeager Center A110
MAT343-C
Sill, Michael R.
09/07/2021 T 10:45 AM - 11:45 AM Mission Hall 127
MAT343-A
Sill, Michael R.
01/10/2022 MWF 10:30 AM - 11:15 AM TBA

MAT403 Linear Algebra

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

MAT403-A
Willett, Robert James
01/10/2022 MWF 12:00 PM - 1:00 PM Mission Hall 127

MAT413 Differential Equations

Methods of solution of ordinary differential equations with some applications to geometry and physics. Prerequisite: MAT 255. (3 units; Fall)

MAT413-A
Willett, Robert James
09/07/2021 MWF 10:45 AM - 11:45 AM Mission Hall 125

MAT443 Introduction to Real Analysis

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)

MAT443-A
Cordero, Ricardo J.
01/10/2022 TTh 8:45 AM - 10:15 AM Mission Hall 126

MAT480 Senior Seminar

This seminar serves as a survey course that covers concepts and theory of calculus, linear algebra, abstract algebra, number theory, analysis, and topology. Conceptual problems will be discussed and assigned to improve problem-solving-skills. Prerequisites: MAT 313 and Senior status. (1 unit; Fall)

MAT480-A
Sill, Michael R.
08/30/2021 MW 2:30 PM - 3:30 PM Mission Hall 127

 

 

Concentration Courses (12-17 units)

 

Students must complete all requirements in one of the following concentrations:

  • Advanced Studies in Mathematics
  • Applied Mathematics
  • General Studies in Mathematics
  • Secondary Mathematics Education

 

Advanced Studies in Mathematics (12 units) 

MAT333 Complex Variables

Structure of complex numbers and their functions, analytic, harmonic, and elementary functions, residue theory, and conformal mapping. Prerequisite: MAT 313. (3 units; Spring, even years)

MAT333-A
Sill, Michael R.
01/10/2022 MWF 9:30 AM - 10:30 AM Mission Hall 125

MAT423 Introduction to Topology

An introduction to general and algebraic topology, concentrating on point-set topology. Topics to be covered include topological spaces, metric spaces, continuous functions, connectedness, and compactness. Prerequisite: MAT 313. (3 units; Fall, even years)

MAT453 Numerical Analysis

Solutions of Equations of One Variable, Interpolations and Polynomial Approximation, Numerical Integration and Differentiation, Direct Methods for Solving Linear Systems and Approximation Theory. Prerequisite: MAT 255. (3 units; Fall, odd years)

MAT483 Abstract Algebra II

This course is a continuation of Abstract Algebra and will include ideals and factor rings, extension fields, Isomorphism and Sylow Theorems, free groups, factorization, automorphisms, Galois Theory, and an introduction to Homology theory. Prerequisite: MAT 323. (3 units; Fall, odd years)

 


 

Applied Mathematics (12-14 units)

MAT353 Probability and Statistics

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)

MAT353-A
Nielsen Hernandez, Michelle
09/07/2021 MWF 8:15 AM - 9:15 AM CBU Virtual SYNC

MAT453 Numerical Analysis

Solutions of Equations of One Variable, Interpolations and Polynomial Approximation, Numerical Integration and Differentiation, Direct Methods for Solving Linear Systems and Approximation Theory. Prerequisite: MAT 255. (3 units; Fall, odd years)

Complete at least six (6) additional units from the following:

MAT333 Complex Variables

Structure of complex numbers and their functions, analytic, harmonic, and elementary functions, residue theory, and conformal mapping. Prerequisite: MAT 313. (3 units; Spring, even years)

MAT333-A
Sill, Michael R.
01/10/2022 MWF 9:30 AM - 10:30 AM Mission Hall 125

MAT400 Special Topics in Mathematics

Various appropriate topics of different concentrations are offered each time. May be repeated with different subject matter. Student involvement in selection of topics is strongly encouraged. (1-3 units; As offered)

MAT400-B
Willett, Robert James
09/07/2021 MW 4:00 PM - 5:20 PM Mission Hall 125
MAT400-A
Cordero, Ricardo J.
09/07/2021 MW 5:40 PM - 7:00 PM Mission Hall 126
MAT400-B
Cordero, Ricardo J.
01/10/2022 MW 5:40 PM - 7:00 PM Mission Hall 127
MAT400-A
Sill, Michael R.
01/10/2022 MW 4:00 PM - 5:30 PM Mission Hall 127

MAT425 Applications of Topology

This course will be a survey of applications of various topics of point-set topology. Applications to areas of science, technology, and industry will be introduced, which may include chemistry, biochemistry, genetics, cryptography, robotics, and GIS. Prerequisite: MAT 313. (3 units; Fall, odd years)

MAT490 Senior Research in Mathematics

The focus of this class is an independent research project that the student undertakes under the direction of a faculty member who acts as a research advisor. Content varies from year to year and is determined by both instructor's and students' interests. Prerequisites: MAT 313 and permission of Department Chair. May be repeated for credit for a maximum of 8 units. (1-4 units; As offered)

MAT490-A
Hernandez, Lisa
01/10/2022 - Instructor OFFC
MAT490-B
Cordero, Ricardo J.
01/10/2022 - Instructor OFFC
MAT490-C
Carothers, Linn E.
01/10/2022 - Instructor OFFC
MAT490-D
STAFF, STAFF
01/10/2022 - Instructor OFFC
MAT490-E
Sill, Michael R.
01/10/2022 - Instructor OFFC
MAT490-F
Willett, Robert James
01/10/2022 - Instructor OFFC
MAT490-G
Noh, Heewon Esther_AKA:_Esther_L
01/10/2022 - Instructor OFFC
MAT490-A
Carothers, Linn E.
05/09/2022 - Online

PHY310 Waves and Optics with Lab

An advanced study of waves and optics, with explicit investigation into mechanical and electromagnetic waves. Topics include (but are not limited to): simple harmonic motion, superposition, dampening, forced oscillations, beats, elasticity, coupling, normal modes, polarization, constructive and destructive interference, single and double slit interference, diffraction gratings, lenses, ray optics, geometric optics, physical optics, beams, and Doppler effect. The course is a very lab intensive class taught in a semi inquiry-based manner. The class and lab are heavily integrated; 3-hours lecture, 3-hours lab. Additional lab fee. Prerequisite: PHY203 or 224. (4 units; Spring, even years)

PHY310-A
Buchholz, James R
01/10/2022 T 2:00 PM - 5:00 PM James Complex 121

PHY320 Modern Physics

An advanced study of modern physics theories. Topics include (but not limited to): relativity, photons, photoelectric effect, the Bohr-model, Heisenberg’s uncertainty principle, Compton scattering, de Broglie waves, wave particle duality, wave packets, Schroedinger’s equation, nuclear models, decay and reactions, Rutherford scattering. 4-hours lecture. Prerequisite: PHY 203 or 224; PHY 310 recommended. (4 units; Fall, even years)

STA310 Mathematical Statistics I

The first semester of a two-semester course providing a systematic development of the theories of probability and statistics. Students learn and use fundamental concepts of probability models, random variables and their distributions, reduction of data, estimation, testing of hypotheses, univariate normal inference, and statistical decision theory. The first semester is required for BA and BS statistics majors of all concentrations. Prerequisites: MAT 245 and STA 144. (3 units; Fall, even years)

STA311 Mathematical Statistics II

Second semester course in a systematic development of the theories of probability and statistics. Topics include analysis of categorical data, multivariate distributions, nonparametric inference, linear models and analysis of variance. As time permits, the theory underlying Markov chain, Monte Carlo, quasi-likelihood, empirical likelihood, statistical functionals, generalized estimating equations, the jackknife, and the bootstrap are addressed. Prerequisite: STA 310. (3 units; Spring, odd years)

STA320 Financial Mathematics I

An introduction to the fundamental concepts of financial mathematics including basic interest theory. These concepts will be applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in: reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flow. Prerequisite: MAT 245. (3 units; Fall, even years)

STA321 Financial Mathematics II

A continuation of the fundamental concepts of financial mathematics including the basics of financial economics and an introduction to financial instruments, including derivatives, and the concept of no-arbitrage as it relates to financial mathematics. Prerequisite: STA 320 (3 Units; Spring, odd years)

* If MAT 490 is selected, it must be taken for three (3) units, and may only be counted toward the concentration one time.

 


 

General Studies in Mathematics (12 units)

Complete 12 additional upper division units in mathematics.

A maximum of 6 units may be completed through enrollment in MAT 400. 

  


 

Secondary Mathematics Education (17 units)

MAT101 Orientation to the Discipline

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. Pass/Fail. (1 unit; Spring)

MAT101-A
Willett, Robert James
01/10/2022 M 2:30 PM - 3:30 PM TBA

MAT333 Complex Variables

Structure of complex numbers and their functions, analytic, harmonic, and elementary functions, residue theory, and conformal mapping. Prerequisite: MAT 313. (3 units; Spring, even years)

MAT333-A
Sill, Michael R.
01/10/2022 MWF 9:30 AM - 10:30 AM Mission Hall 125

MAT353 Probability and Statistics

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)

MAT353-A
Nielsen Hernandez, Michelle
09/07/2021 MWF 8:15 AM - 9:15 AM CBU Virtual SYNC

MAT363 Hist of Mth and Theory of Numbrs

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)

MAT363-A
Sill, Michael R.
09/07/2021 MWF 1:15 PM - 2:15 PM Mission Hall 127

MAT463 Fund Concepts of Geometry

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)

MAT463-A
Sill, Michael R.
01/10/2022 TTh 2:00 PM - 3:30 PM Mission Hall 125

MAT499 Capstone

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)

MAT499-A
Morris, Elizabeth Ann
09/07/2021 TTh 8:45 AM - 10:15 AM Yeager Center A112
MAT499-A
Morris, Elizabeth Ann
01/10/2022 TTh 10:30 AM - 12:00 PM Yeager Center A111

   


*Curriculum subject to change. Please see the current catalog for more information.