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The Master of Science (MS) in Mathematical Sciences degree program is a three-semester course of study that develops the student’s understanding of mathematics beyond that obtained in a standard undergraduate program. It offers students a thorough background in advanced mathematical concepts, focusing on clear, logical reasoning and communication. Students may choose from one of these possible concentrations: pure mathematics, applied mathematics, and financial mathematics.
A minimum of 30 graduate credits in mathematics or statistics are required with a GPA of 3.0 or higher. Students must choose between three tracks: Pure Mathematics, Applied Mathematics, and Financial Mathematics. Each track has a core of classes that the students must take. The remaining credits are chosen from a list of electives.
Visit the curriculum guide to learn about the required courses for each track. More details concerning the requirements of the program are explained in the Mathematical Sciences Department’s Graduate Handbook. See the course descriptions for information on the content.
A student entering with the minimum requirements should expect to take two years to complete the program. Students entering the program with a stronger mathematical background may be able to complete the program in three semesters.
The Master of Science (MS) in Mathematical Sciences degree program is a three-semester course of study that develops the student’s understanding of mathematics beyond that obtained in a standard undergraduate program. It offers students a thorough background in advanced mathematical concepts, focusing on clear, logical reasoning and communication. Students may choose from one of these possible concentrations: pure mathematics, applied mathematics, and financial mathematics.
A graduate of the program is prepared to enter the workforce as a professional mathematical scientist. An appropriate choice of courses will also prepare students to pursue a PhD in Mathematical Sciences.
All applicants for the MS Mathematical Sciences program are automatically reviewed for scholarship eligibility at the time of application.
Curriculum
MS in Mathematical Sciences
Credit Hour Requirement
A minimum of 30 graduate credits are required with a GPA of 3.0 or higher.
Graduate Mathematics or Statistics Courses
Of the courses taken to fulfill the 30 credits, at least 3 should come from the following list.
Course Title/Desc Credit
MATH7001 Complex Analysis 3
MATH7002 Real Analysis 3
MATH7003 Rings, Fields and Galois Theory 3
MATH7004 Topology 3
MATH7005 Ordinary Differential Equations 3
MATH7006 Partial Differential Equations 3
MATH7011 Advanced Mathematical Modeling 3
MATH7015 Numerical Linear Algebra 3
STAT7032 Probability 3
MATH8001 Geometric Function Theory 3
MATH8002 Geometric Analysis 3
MATH8003 Functional Analysis 3
MATH8004 Operator Theory 3
MATH8005 Introduction to Algebraic Geometry 3
MATH8006 Algebra and Cryptography 3
MATH8007 Advanced Stochastic Processes 3
MATH8008 Stochastic Differential Equations 3
MATH8009 Advanced Partial Differential Equations 3
MATH8010 Advanced Numerical Analysis 3
MATH8011 Scientific Computation 3
MATH8012 Applied Mathematics Methods 3
MATH9001 Advanced Financial Mathematics 3
Track: Pure Mathematics
Students must choose between three tracks: Pure Mathematics, Applied Mathematics, and Financial Mathematics. Each track has a core of classes that the students must take. The remaining credits are chosen from a list of electives.
Required Core Courses
Students have the option of taking the Mathematics PhD Qualifying Exam before entering the program. Students receiving a pass on this exam are not required to take the core courses.
Course Title/Desc Credit
MATH6001 Advanced Calculus I 4
MATH6002 Advanced Calculus II 4
MATH6003 Abstract Linear Algebra 3
Recommended Electives
Students are required to take at least three (3) courses.
Course Title/Desc Credit
MATH6004 Group Theory 3
MATH6005 Introduction to Complex Analysis 3
MATH7001 Complex Analysis 3
MATH7002 Real Analysis 3
MATH7003 Rings, Fields and Galois Theory 3
MATH7004 Topology 3
MATH7005 Ordinary Differential Equations 3
MATH7006 Partial Differential Equations 3
STAT7032 Probability 3
Other Electives
Select at least one other elective
Course Title/Desc Credit
MATH6006 Numerical Analysis 3
MATH6007 Partial Differential Equations and Fourier Analysis 3
MATH6008 Applied Probability and Stochastic Processes 3
MATH8001 Geometric Function Theory 3
MATH8002 Geometric Analysis 3
MATH8003 Functional Analysis 3
MATH8004 Operator Theory 3
MATH8005 Introduction to Algebraic Geometry 3
MATH8006 Algebra and Cryptography 3
MATH8007 Advanced Stochastic Processes 3
MATH8008 Stochastic Differential Equations 3
MATH8009 Advanced Partial Differential Equations 3
STAT6021 Mathematical Statistics I 3
STAT6022 Mathematical Statistics II 3
Track: Applied Mathematics
Students must choose between three tracks: Pure Mathematics, Applied Mathematics, and Financial Mathematics. Each track has a core of classes that the students must take. The remaining credits are chosen from a list of electives.
Required Core Courses
Course Title/Desc Credit
MATH6006 Numerical Analysis 3
MATH6007 Partial Differential Equations and Fourier Analysis 3
MATH6012 Applied Linear Algebra 3
MATH6015 Mathematical Programming 3
MATH7011 Advanced Mathematical Modeling 3
Recommended Electives
Students are required to take at least two (2) courses.
Course Title/Desc Credit
MATH6019 Nonlinear Optimization 3
MATH7015 Numerical Linear Algebra 3
MATH8011 Scientific Computation 3
MATH8010 Advanced Numerical Analysis 3
MATH8012 Applied Mathematics Methods 3
Other Electives
Select at least one other elective
Course Title/Desc Credit
MATH6001 Advanced Calculus I 4
MATH6002 Advanced Calculus II 4
MATH6005 Introduction to Complex Analysis 3
MATH6008 Applied Probability and Stochastic Processes 3
MATH7005 Ordinary Differential Equations 3
MATH7006 Partial Differential Equations 3
Free Electives Up to six (6) graduate credits from other departments, approved in advance by the student's advisor 0 - 6
Track: Financial Mathematics
Students must choose between three tracks: Pure Mathematics, Applied Mathematics, and Financial Mathematics. Each track has a core of classes that the students must take. The remaining credits are chosen from a list of electives.
Required Core Courses
Course Title/Desc Credit
MATH6010 Probabilistic Aspects of Financial Modeling 3
MATH6011 Computational Financial Mathematics 3
STAT6031 Applied Regression Analysis 3
Recommended Electives
Students are required to take at least three (3) courses.
Course Title/Desc Credit
MATH6006 Numerical Analysis 3
MATH6007 Partial Differential Equations and Fourier Analysis 3
MATH6008 Applied Probability and Stochastic Processes 3
MATH6019 Nonlinear Optimization 3
MATH7006 Partial Differential Equations 3
MATH8008 Stochastic Differential Equations 3
MATH9001 Advanced Financial Mathematics 3
STAT6041 Time Series 3
Other Electives
Select at least one other elective
Course Title/Desc Credit
MATH6012 Applied Linear Algebra 3
MATH6015 Mathematical Programming 3
MATH7011 Advanced Mathematical Modeling 3
MATH7015 Numerical Linear Algebra 3
STAT7032 Probability 3
Free Electives Up to six (6) graduate credits in finance and economics, approved in advance by the student's advisor. 0 - 6
Admission Requirements
Students applying for the program should have or be expecting to obtain a bachelor’s degree either in mathematics or in a related area with a strong mathematical foundation. Specifically, students should have taken:
Students should have a grade point average of at least 3.0 (a “B” average) in these courses.
While not required, a score of 155 or higher on the GRE quantitative section is a good indication a student will succeed in the MS program.
Proficiency in English is expected of international students whose native language is not English. A minimum score of 80 on the Internet-based TOEFL is required for admission. Also acceptable for admission are an overall band score of 6.5 on the International English Language Testing System (IELTS), a score of 56 on the PEARSON Test of English (PTE), or a score of 105 on the Duolingo English Test. To be eligible for a Graduate Assistantship, a student must achieve a TOEFL score of at least 93, IELTS overall band score of at least 7, PTE score of at least 64, or Duolingo score of at least 115. The English proficiency requirement is met for applicants with degrees earned in English from accredited universities and colleges in the US or other English-speaking countries.
Financial Support
We are pleased to announce the Fourier Fellowships for MS Math students entering in Fall 2022. Named in honor of mathematician Joseph Fourier, whose work laid important foundations for both pure and applied mathematics, these competitive awards will provide full tuition support in addition to a modest stipend.
All applicants for the MS Mathematical Sciences program, including international students, are automatically reviewed for the Fourier Fellowships at the time of application.
Application Instructions
Applicants will need to meet the minimum requirements to be considered for the program. Completed applications will be reviewed beginning February 1. We will continue to receive applications until all positions are filled.
All application materials from international students requiring a US visa must be received prior to April 1 (but sooner is better) in order to allow time for the necessary paperwork to be processed. The visa application process can often take 90 days or more to complete.
How to apply:
1. Create an online application
2. Include these documents in your application:
3. Pay the application fee
UC’s CEEB college code is 1833, as established by The College Board. CEEB codes are used to ensure that test scores are sent to the correct institution.
Tuition fee-2 years$60,000
Total fee-2 years$92,000
