Department of Mathematics and Statistics, CSULB

Master of Science in Mathematics

Option in Applied Mathematics (Major Code: MATHMS02)

PREREQUISITES for the MASTER OF SCIENCE IN APPLIED MATHEMATICS:

(1) A bachelor's degree in mathematics, physics, or engineering or a bachelor's degree with at least 24 upper division units in mathematics from an accredited college or university.

(2) A grade of C or above in the following courses or their equivalents:

MATH 247 Introduction to Linear Algebra
MATH 323 Introduction to Numerical Analysis
MATH 361A Introduction to Mathematical Analysis I
MATH 361B Introduction to Mathematical Analysis II
MATH 364A Ordinary Differential Equations I
MATH 380 Probability and Statistics

Deficiencies will be determined by the graduate advisor.

DEGREE REQUIREMENTS for the MASTER OF SCIENCE IN APPLIED MATHEMATICS ( Code MATHMS02)

Option in Applied Mathematics (Major Code: MATHMS02)

1. A minimum of 30 graduate and upper division units approved by the graduate advisor, and including

(a) the following fundamental courses:

MATH 463 Multivariable Calculus,
MATH 479 Mathematical Modeling,
MATH 563 Applied Analysis,
MATH 570 Partial Differential Equations, and
MATH 576 Numerical Analysis.

(b) At least 6 units of applied mathematics courses selected from:

MATH 423 Intermediate Numerical Analysis
MATH 470 Introduction to Partial Differential Equations
MATH 485 Mathematical Optimization
MATH 564 Applied Nonlinear Ordinary Differential Equations
MATH 574 Stochastic Calculus and Applications
MATH 575 Calculus of Variations
MATH 577 Numerical Solutions of Partial Differential Equations

MATH 364B Ordinary Differential Equations II
MATH 381 Mathematical Statistics
MATH 382 Random Processes
MATH 461 Introduction to Complex Analysis
MATH 472 Fourier Analysis
MATH 480 Regression Analysis
MATH 562A Complex Analysis I
MATH 580 Statistical Inference
MATH 581 Experimental Design and Analysis
MATH 584 Statistical Quality Control
MATH 586 Data Mining

(d) At least 18 units of graduate mathematics courses (numbered 500 or above) including any such courses used to meet requirements (a), (b), and (c) above and including at least 15 units other than MATH 697 (Directed Studies) or 698 (Thesis).

2. Complete one of the following

(a) Pass a comprehensive written examination in two areas of Applied Mathematics;

(b) Subject to the approval of the proposal by the Graduate Committee of the Department of Mathematics and Statistics, write a thesis in applied mathematics and defend it orally.

Specific requirements for passing of the comprehensive examinations can be found in the GraduateStudyBooklet which is available from the Mathematics and Statistics Department.

Advancement to Candidacy

Advancement to candidacy is a step every graduate student at CSULB must take on the way to a Master's degree. It signifies the approval by the Department and the College of a plan of study. Students should consult with the graduate advisor during their first semester regarding the requirements for advancement. Normally, these requirements are:

(1) Classified status (satisfactory removal of deficiencies).

(2) Satisfactory completion of the Writing Proficiency Examination (WPE). [Consult the Testing Office, room SSA-216, phone (562) 985-4006 for information regarding this examination.]

(3) A minimum 3.0 overall GPA and a GPA of at least 3.0 in all units - at least 6 - undertaken for that student's program.

(4) Enrollment in a regular (fall or spring) session.

The Department of Mathematics and Statistics requires students to file for advancement to candidacy after they have satisfactorily completed 6 units of the program. The graduate advisor will assist students in this filing. Students cannot take the Masters comprehensive exams and cannot file the Request to Graduate unless they have been or are being advanced to candidacy.

When filing for advancement to candidacy, each student, in consultation with the graduate advisor, must prepare an Approved Program of Study consisting of a minimum of 30 units of courses which satisfy the degree requirements. Students must satisfactorily complete these courses as part of their degree requirements. If a student cannot complete a course listed on his or her approved program, and wishes to take a different course, then he or she must file a Change of Approved Program form. Again, the student must consult with and have the approval of the graduate advisor regarding this change.

Comprehensive Examinations

A student who elects to take two comprehensive examinations (rather than write a thesis) must observe the following rules:

(1) The student must sign up for and take both comprehensive examinations in the same semester. The examinations are administered during the last two weeks of each semester.

(2) The areas of examination for the Masters in Applied Mathematics are Numerical Analysis, Partial Differential Equations, Statistical Inference, and Experimental Design and Analysis, but at least one area from Numerical Analysis and Partial Differential Equations.

(3) A student who fails one or both of the examinations on the first attempt may take the examinations a second time. In order to pass both examinations, a student must receive a grade of C or higher on each. However, a grade of B or higher in one of the two examinations will suffice to pass that examination, although a failed examination must still be repeated.

Thesis

If a student wishes to write a thesis, it is that student's responsibility to seek out a thesis advisor. A thesis is then written in consultation with the faculty advisor who will guide the student in choosing a thesis topic and supervise the process of writing the thesis. After a thesis topic is chosen, it must be approved by the Graduate Committee. A thesis committee of three faculty members, including the thesis advisor, is then chosen to approve the final work. During the writing of the thesis, the student enrolls in MATH 698 for a maximum of six units.

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