Mathematics

Graduate Program

The Department of Mathematics at New Mexico Tech offers a PhD in Applied and Industrial Mathematics, and Master's degrees in several areas, including specializations in analysis, statistics & data science, and industrial mathematics. Note that the specialization in Statistics & Data Science is new for students entering in the fall of 2024 and later. The former specialization in Operations Research and Statistics has been discontinued.

You can apply for admission online at

https://nmt.edu/gradstudies/admissions.php

For full consideration for financial aid, applications for the fall semester should be completed by March 15. Applications for the spring semester should be completed by November 1.

MS in Mathematics with Specialization in Industrial Mathematics

General Description

Industry and business provide many areas for the application of advanced mathematics, and many possibilities for mathematicians to make significant contributions. New Mexico Tech offers a program to prepare students for these opportunities. Students need a basic background in numerical analysis, differential equations, and statistics at the undergraduate level.

For questions, please contact Professor Gilberto Gonzalez-Parra.

Outcomes

Students graduating from our MS program in Mathematics will be able to:

Solve a significant mathematical or statistical problem.

Communicate a mathematical or statistical solution in writing using professional format and correct mathematical notation..

Communicate the results of their work in an oral presentation. The presentation should be well organized, clear, and demonstrate good understanding of the mathematical or statistical topic.

Courses

MS in Mathematics with Specialization in Statistics and Data Science

General Description

An interdisciplinary program in statistics and data science is available at the graduate level. To specialize in this area, the student must fulfill the requirements for the undergraduate program in mathematics or a related field including MATH 4083, and either MATH 4041 or MATH 5041, or the equivalent.

Graduate work would consist of:

1) A minimum of 15 credit hours from MATH 5018, 5019, 5020, 5082, 5083, 5086, 5087, 5088.

2) Two of the following CSE courses: CSE 3007, CSE 3071, CSE 4011, CSE 4064 or 5067, CSE 4065 or 5065, CSE 4066, CSE 4076 or CSE 5076, CSE 5072.

3) For the Independent Study option, three credit hours of MATH 5090. Or, for the thesis option, six credit hours of MATH 5091.

4) Additional courses subject to the approval of the students advisor to satisfy the general requirements of the Master of Science degree, for the total of 30 credit hours.

For questions, please contact Professor Anwar Hossain.

Outcomes

Students graduating from our MS program in Mathematics will be able to:

Solve a significant mathematical or statistical problem.

Communicate a mathematical or statistical solution in writing using professional format and correct mathematical notation..

Communicate the results of their work in an oral presentation. The presentation should be well organized, clear, and demonstrate good understanding of the mathematical or statistical topic.

Courses

MS in Mathematics with Specialization in Analysis

Program Description

An interdisciplinary program in analysis is available at the graduate level within the various departments at New Mexico Tech.

To specialize in this area the student must fulfill the requirements of the undergraduate program in mathematics and complete Math 435 and Math 471 or the equivalent.

For questions, please contact Professor Ivan Avramidi.

Program Outcomes

Students graduating from our MS program in Mathematics will be able to:

Solve a significant mathematical or statistical problem.

Communicate a mathematical or statistical solution in writing using professional format and correct mathematical notation..

Communicate the results of their work in an oral presentation. The presentation should be well organized, clear, and demonstrate good understanding of the mathematical or statistical topic.

Program Requirements

PhD in Applied and Industrial Mathematics

Program Description

Students of exceptional ability, as demonstrated in a master’s degree program or in previous courses, may pursue a program leading to the doctoral degree. Although the master’s degree is not a requirement for the PhD degree, the experience gained in writing a master’s thesis or independent study project is valuable.

For questions, please contact Professor Brian Borchers.

Program Outcomes

Students graduating from our PhD program in Mathematics will be able to:

Solve a significant mathematical or statistical problem.

Communicate a mathematical or statistical solution in writing using professional format and correct mathematical notation..

Communicate the results of their work in an oral presentation. The presentation should be well organized, clear, and demonstrate good understanding of the mathematical or statistical topic.

PhD Preliminary Exams

Please visit the NMT Course Catalog (PDF) for the latest program requirement information. Students are required to take preliminary exams in three of the four areas listed below.

Preliminary Exams

Preliminary Exam in Analysis

Committee Members: Ivan Avramidi, Bixiang Wang
Syllabus and Practice Test, 2013, 2017, 2019, 2020, 2024, 2024b, 2024c

Preliminary Exam in Differential Equations

Committee Members: Bert Kerr, Bill Stone, Mingji Zhang
Syllabus
Past Exams: 2014, 2017, 2018, 2019, 2024

Preliminary Exam in Numerical Analysis

Committee Members: Rakhim Aitbayev, Brian Borchers, Gilberto Gonzalez-Parra
Syllabus
Past Exams: 2024, 2022 Feb 2021, Sep 2021, Mar 2020, Aug 2019, Jan 2019, 2015, 2014, 2011, 2009, 2008, 2005
Practice Exam

Preliminary Exam in Statistics

Committee Members: Oleg Makhnin, Anwar Hossain, Brian Borchers

Syllabus

Practice Exams: practice1, practice2, practice3, practice4

Past Exams: 2021, 2021ans

Graduate Minors

New Mexico Tech awards minors for your secondary field of study. While the number of credits required for a minor vary from department to department, a minimum of 18 credit hours is required. You must declare a minor and be assigned a minor advisor prior to completing the coursework for the minor.

Graduate Minor in Applied & Industrial Mathematics

The following courses are required:

MS Level:

Two from Math 430, 437, 438 and

Two from Math 530, 531, 532, 533, 535, 537, 538, 539

PhD Level:

MS requirements plus two more of the listed 500 level courses

For questions, please contact Professor Gilberto Gonzalez-Parra.

Graduate Minor in Operations Research & Statistics

The following courses are required:

MS Level:

Math 415, 483, and

Two from Math 515, 516, 517, 518, 519, 582, 583, 586, 587, 588, 589

PhD Level:

MS requirements plus two more of the listed 500 level courses

For questions, please contact Professor Anwar Hossain.

Graduate Minor in Numerical Analysis

The following courses are required:

MS Level:

Math 410, 411, and

Two from Math 510, 511, 512, 513

PhD Level:

MS requirements plus two more of the listed 500 level courses

For questions, please contact Professor Rakhim Aitbayev.

Graduate Minor in Analysis

The following courses are required:

MS Level:

Math 435, 442, 471, and

Two from Math 531, 533, 534, 535, 536, 537, 575, 576, 577

PhD Level:

MS requirements plus two more of the listed 500 level courses

For questions, please contact Professor Ivan Avramidi.