**Description** **(download PDF brochure)**

Mathematics is a universal language. Applied mathematics combines the beauty and function of mathematics to help us understand and improve the world around us. Since mathematics is universal, it can be applied anywhere. This is a particularly exciting aspect of applied mathematics. Applied mathematicians help to design satellites, explain how our mind works and improve MRI machines. Applied mathematics allows one to find patterns that are common to many disciplines with a unifying mathematical structure. A problem in neuroscience sometimes has the same mathematical structure as doing an internet search! Applied mathematics allows one to make that connection.

The Department of Mathematics at California State University, Fullerton offers a graduate program in applied mathematics leading to the Master of Arts Degree. The program is intended for individuals who are seeking or who currently hold positions that involve mathematical or quantitative applications. It was developed in consultation with mathematicians and scientists in the local industrial community. The coursework emphasizes modern applied mathematics, modeling, and computation. Every class involves the use of modern interactive software for numerical computation and simulation modeling, including MATLAB and R. Graduates have gone on into successful careers in industry and in teaching at the college level. Several have also obtained advanced degrees in Mathematics, Engineering, and Science.

**Application Procedure**

The program must start in the fall semester and can be completed in two academic years, including a summer in between. All required courses are offered sequentially during the evening with six units per semester. Students seeking admission to the program must have a bachelor's degree in mathematics or related area from an accredited college or university with an overall GPA of at least 2.5 and a GPA of 3.0 or higher in all upper division mathematics courses, or a combination of previous course work and work experience approved by the graduate committee of the Mathematics Department. Financial aid, including teaching/research assistantships and out-of-state tuition fee waiver, is available.

Students can apply online and have official transcripts sent to CSUF's Admissions and Records. GRE scores and letters of recommendation are not required. International students should visit this site for additional information and requirements.

**Supplemental Application - PDF**

**Supplemental Application - DOC**

Spring 2018 Applicants - Please email completed supplemental application to rbennett@fullerton.edu

Fall 2018 Applicants - Please upload this supplemental application in the "Program Materials" section of your online Cal State Apply application under “Other” in the Documents tab

Teaching Associate opportunities for qualified students. We offer interested masters students, depending on availability, part-time instructor positions where they teach one or more of our elementary mathematics courses. Applications for the Teaching Associate (TA) position will be accepted during the spring and summer to teach the following fall semester. For our TA Job Description and application procedure click here.

**Application deadline for Spring 2018: December 1, 2017.**

**Need more information?**

Graduate Advisor: Dr. Charles H. Lee (657) 278-2726 or charleshlee@fullerton.edu.

Administrative questions: Renee Bennett at rbennett@fullerton.edu.

**Prerequisites**

Four semesters of Calculus, a computer programming course or equivalent experience, and upper division courses in Mathematical Probability and Advanced Calculus/Analysis.

**Courses**

**Fall Semester** (first year)

Math 489A, B – Applicable Analysis and Linear Algebra

Preparation for Graduate Coursework in Applied Mathematics

A Survey of Linear Algebra and Analysis

Finite and Infinite Dimensional Vector Spaces

Linear Transformations and Matrices

Normed and Inner Product Spaces

Contractive Maps and Fixed Point Iteration

The Projection Theorem and Applications

Initial and Boundary – Value Problems

Series Solutions, Eigenvalues and Eigenfunctions

Fourier Analysis, Generalized Functions

**Spring Semester**

Math 501A, B – Numerical Analysis and Computation

Linear and Nonlinear Systems of Equations

Numerical Linear Algebra

Interpolation and Approximation with Applications to Numerical Differentiation,

Integration and Function Evaluation

Numerical Solutions of Ordinary and Partial Differential Equations

Spline Functions and the Finite Element Method

Error Analysis, Comparison and Limitations of Algorithms

**Summer Term**

Math 502A, B – Probability and Statistics

Probability Models

Univariate & Multivariate Distributions

Expectations

Sampling Theory

Statistical Estimation

Bayesian Methods

Hypothesis Testing

Introduction to Linear Models

**Fall Semester** (second year)

Math 503A, B – Mathematical Modeling & Simulation

Mathematical Methods used in the Development and Analysis of Mathematical Models in Science and

Engineering

Dimensional Analysis, and Mathematical Modeling based on Ordinary & Partial Differential Equations

Application of Probability Models and Statistical Methods in Engineering and Operations Research

Introduction to Stochastic Processes, Including Topics in Signal and Image Processing

Monte Carlo Simulation

**Spring Semester**

Math 597 – Graduate Project

The culminating experience is a project, which replaces the standard comprehensive examinations or thesis requirements. Students work in teams on projects that are sponsored and funded by local industrial firms. Each team is supervised by a faculty member. The project is intended to provide a realistic industrial-like experience, complete with deadlines and a written final report, where students can put what they have learned to work, and where success is based on individual initiative, teamwork, and communication skills.

**Careers**

Graduates from the master’s program in applied mathematics have a broad range of career options. Recent graduates work in industry as scientific programmers, go into doctorate programs in applied mathematics, statistics, or engineering, as well as become teachers in community colleges. The problem solving skills along with the mathematical and computing knowledge obtained through coursework are valued by employers and graduate schools.

Employers of applied mathematicians include aerospace companies (e.g. Boeing), biotech companies (e.g. Amgen), financial companies (e.g. PIMCO), internet companies (e.g. Google) and research laboratories (e.g. NASA). The beauty of applied mathematics is that it is both interesting and useful. Because of this, applied mathematicians are hired by a huge range of companies. More information about the types of jobs available to applied mathematicians can be found in the careers website of the Society for Industrial and Applied Mathematics (SIAM): www.siam.org/careers/

**Faculty**

Derdei Bichara, Assistnat Professor *Mathematical Biology, Dynamical Systems, Control Theory*

William B. Gearhart, Professor

*Mathematical Modeling, Operations Research, Numerical Analysis*

Charles Hung Lee, Professor *Computational Mathematics, Fluid Dynamics, Aerospace Engineering*

Tyler McMillen, Associate Professor *Nonlinear Dynamics, Differential Equations, Neuroscience*

Laura Smith, Assistnat Professor *Mathematical Modeling, Complex Networks, Differential Equations*

Anael Verdugo, Assistant Professor

*Nonlinear Dynamics, Differential Equations, Computational Biology*

**Research and More**

Faculty members in the modeling and computation track are actively involved in research areas which include computational neuroscience, magnetic resonance imaging and satellite communications. They have obtained grants from the National Aerospace and Aeronautics and Space Administration (NASA) and from the National Institutes of Health (NIH) to support their research.

Faculty members regularly work with students in their projects and have found funding for students from their research grants. Research is a wonderful way to use the ideas from courses in a “real world” situation. Faculty members work with students in research projects which often lead to publications and presentations by students at local and national meetings.

The industrial relevance of applied mathematics can be seen through the industrial projects in which faculty serve as consultants and the patents they obtain from their inventions.