Course Requirements

The Master's in applied mathematics degree program is tailored for students who wish to apply mathematical techniques to life and social sciences, with an emphasis on solving new problems in a rapidly changing world. Students will be academically prepared to 1) join and significantly contribute to a competitive work force or 2) pursue a PhD in mathematical sciences. Students will learn to seek solutions to world problems that are ingrained in a Christian-framed compassion for a world in desperate need for Christ.

Core Course Requirements (28 units)

MAT513 Ordinary Differential Equations

Students will be introduced to concepts of the qualitative theory of differential equations such as existence and uniqueness, linear systems, autonomous systems, stability, bifurcations, chaos. Students will be introduced to dynamical systems and study the Poincaré-Bendixson theorem, limit cycles and the Hartman-Grobman theorem. Periodic and bounded solutions will be discussed briefly. Applications in modeling biological and social phenomena will also be discussed. Prerequisite: MAT443 (3 units; Fall Odd)

MAT513-A
Cordero, Ricardo J.
09/05/2017 MW 5:00 PM - 6:20 PM BUS 103

MAT514 Partial Differential Equations

This course is designed to teach students how to analyze, solve and apply partial differential equations. Students will learn about well-posed and ill-posed problems; existence and uniqueness of solutions to PDEs (Partial Differential equation). Students will learn about linear, quasi-linear and non-linear PDEs of the first order in on spatial dimension. Students will learn about wave propagation, hyperbolic and parabolic PDEs in one spatial dimension. Students will learn and use different methods for solving PDEs such as separation of variables, method of characteristics, green functions, etc. Students will learn about Fourier series and integrals, higher order equations and vibrational methods. Applications will be discussed for most equations. (3 units; Spring Even)

MAT514-A
Sill, Michael R.
01/10/2018 WF 4:00 PM - 5:30 PM Yeager Center B218

MAT516 Math Biology

The study of difference equations to model different biological phenomena. An introduction to concepts of the qualitative theory of differential equations such as steady-state solutions, stability and linearization, Phase-Plane Methods and nullclines, classifying stability characteristics, global and local behavior, Limit cycles, oscillations, and the Poincaré-Bendixson theorem. An introduction to linear difference equations and how to solve these analytically while understanding the behavior of solutions. Students will learn how analyze the qualitative behavior of solutions for Nonlinear difference equations via linearization. The study of steady states, stability criteria and Cobwebbing and other numerical resources to solve difference equations. Prerequisites: MAT403 and MAT413 (3 units; Fall Odd)

MAT516-A
Cordero, Ricardo J.
09/05/2017 MW 6:40 PM - 8:00 PM BUS 203

MAT526 Linear Programming

A discussion of optimization methods using linear programming. Topics will include the simplex computational procedure, the revised simplex method, duality problems of linear programming, degeneracy and anticycling procedures, parametric linear programming and sensitivity analysis, additional computational techniques and applications. (3 units; Spring Even)

MAT526-A
Pankowski, Franciszek
01/10/2018 M 4:00 PM - 7:00 PM Yeager Center B218

MAT533 Complex Analysis

This course covers concepts within Complex Analysis including: complex functions, analytic and harmonic functions, sequences, series, complex integration, Taylor and Laurent series, residue theory, z-transforms and applications,applications of harmonic functions, Fourier series, and the Laplace Transform. (3 units; Spring Odd Years)

MAT553 Numerical Analysis

In this course students will learn to apply techniques in numerical analysis to solutions of equations of one variable, interpolations and polynomial approximations, numerical integration and differentiation, numerical solutions of initial value problems, iterative methods solving linear systems, approximation theory, approximation Eigenvalues, systems of nonlinear equations, and boundary-value problems for ordinary differential equations. (3 units; Fall even years)

MAT563 Stochastic Processes

This course is a nonmeasure theoretic introduction to stochastic processes. A strong probabilistic foundation will be used to analyze appropriate probability models in order to predict the effects of randomness on systems studied. Applications of probability theory to the study of phenomena in various fields including engineering, computer science, management science, the physical and social sciences, and operations research. (3 units; Fall even years)

MAT576 Scientific Computing

This course will enable the student to formulate, analyze, and simulate problems arising in the fields on natural and mathematical sciences. Computational skills will be coupled with development of stochastic models with emphasis upon project implementation, efficiency, and accuracy of algorithms and the interpreting results obtained. Specific topics include linear and nonlinear systems of equations, polynomial interpolation, numerical integration, and introduction to numerical solution of differential equations incorporated into real world applications of Markov Chains, Random Walks, Poisson Processes, Birth and Death Processes, Renewal Phenomena, Phase-type Distributions, Queuing systems, Brownian Motion, and SIR Modeling. Prerequisite: MAT 563. (4 units; Spring odd years)

STA513 Applied Statistics

This course provides an introduction to probability, discrete and continuous random variables, probability distributions, expected values, sampling distributions, point estimation, confidence intervals, hypothesis testing and general linear modeling, Specific topics include tools for describing central tendency and variability in data; methods for performing inference on population means and proportions via sample data; statistical hypothesis testing and its application to group comparisons; issues of power and sample size in study designs; and random sample and other study types. While there are some formulae and computational elements to the course, the emphasis is on qualitative nonlinear thinking, interpretation and concepts. (3 units; Spring)

STA513-A
Carothers, Linn E.
01/10/2018 W 5:40 PM - 7:40 PM BUS ONLN

Research Requirements (4 units)

MAT590 Research in Applied Mathematics

The main purpose of this course is for students to participate in mathematical research and disseminate results through presentations at research talks and/or conferences. 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. May be repeated for credit for a maximum of eight (8) units. Prerequisite: Permission of Department Chair (1-4 units; Fall; Spring; Summer)

MAT590-A
Cordero, Ricardo J.
01/10/2018 - Instructor OFFC
MAT590-B
Carothers, Linn E.
01/10/2018 - Instructor OFFC
MAT590-C
Nielsen Hernandez, Michelle
01/10/2018 - Instructor OFFC
MAT590-D
Sill, Michael R.
01/10/2018 - Instructor OFFC
MAT590-E
Hernandez, Lisa
01/10/2018 - Instructor OFFC
MAT590-F
Pankowski, Franciszek
01/10/2018 - Instructor OFFC
MAT590-G
Willett, Robert James
01/10/2018 - Instructor OFFC
MAT590-A
Cordero, Ricardo J.
05/07/2018 - Instructor OFFC
MAT590-B
Carothers, Linn E.
05/07/2018 - Instructor OFFC
MAT590-C
Nielsen Hernandez, Michelle
05/07/2018 - Instructor OFFC
MAT590-D
Sill, Michael R.
05/07/2018 - Instructor OFFC
MAT590-E
Hernandez, Lisa
05/07/2018 - Instructor OFFC
MAT590-F
Pankowski, Franciszek
05/07/2018 - Instructor OFFC
MAT590-G
Willett, Robert James
05/07/2018 - Instructor OFFC
MAT590-H
Noh, Heewon Esther_AKA:_Esther_L
05/07/2018 - Instructor OFFC

MAT598 Capstone in Applied Mathematics

This course is designed to be a culminating experience for students to process and assimilate knowledge and experience they have gained by participating in a research or project opportunity prior to or concurrent with this course. Students in will prepare a presentation (both oral and written) that focuses on that experience. (1 unit; Fall, Spring, Summer)

Elective Requirements (3 units)

Complete three additional units from approved CSC or EGR coursework or the following:

MAT500 Special Topics

The purpose of this course is to provide students a chance to explore other topics not included in the Applied Math coursework. Student involvement in selection of topics is strongly encouraged. Upon a topic selection, students will be expected to explore real-world applications. May be repeated for credit for a maximum of twelve (12) units with different subject matter. (1-4 units; As offered)

MAT590 Research in Applied Mathematics

The main purpose of this course is for students to participate in mathematical research and disseminate results through presentations at research talks and/or conferences. 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. May be repeated for credit for a maximum of eight (8) units. Prerequisite: Permission of Department Chair (1-4 units; Fall; Spring; Summer)

MAT590-A
Cordero, Ricardo J.
01/10/2018 - Instructor OFFC
MAT590-B
Carothers, Linn E.
01/10/2018 - Instructor OFFC
MAT590-C
Nielsen Hernandez, Michelle
01/10/2018 - Instructor OFFC
MAT590-D
Sill, Michael R.
01/10/2018 - Instructor OFFC
MAT590-E
Hernandez, Lisa
01/10/2018 - Instructor OFFC
MAT590-F
Pankowski, Franciszek
01/10/2018 - Instructor OFFC
MAT590-G
Willett, Robert James
01/10/2018 - Instructor OFFC
MAT590-A
Cordero, Ricardo J.
05/07/2018 - Instructor OFFC
MAT590-B
Carothers, Linn E.
05/07/2018 - Instructor OFFC
MAT590-C
Nielsen Hernandez, Michelle
05/07/2018 - Instructor OFFC
MAT590-D
Sill, Michael R.
05/07/2018 - Instructor OFFC
MAT590-E
Hernandez, Lisa
05/07/2018 - Instructor OFFC
MAT590-F
Pankowski, Franciszek
05/07/2018 - Instructor OFFC
MAT590-G
Willett, Robert James
05/07/2018 - Instructor OFFC
MAT590-H
Noh, Heewon Esther_AKA:_Esther_L
05/07/2018 - Instructor OFFC