Mathematics & Physical Sciences Majors

Mathematics Mathematics - Computer Science Mathematics - Physics

Mathematics Major

PEAKS | Natural Sciences & Mathematics |

The Mathematics and Physical Sciences Core provides a strong mathematical background to all Mathematics and Mathematics-Physics majors in our Department. This collection of courses incorporates mathematical methods and concepts and fundamentals of computer programming along with the foundational course in Analytical Physics as an introduction to problem-solvng, abstract analysis, and applications.

Mathematics Major

38-40 credits (Total does not include prerequisite courses)

Course Course Title Credits

MAJOR REQUIREMENTS

Complete the Mathematics-Physics Core (19 credits):

MAT-175

Single Variable Calculus*

4

MAT-275

Multivariable Calculus

4

MAT-280 or
MAT-281 or
MAT-282 or
MAT-283

Introduction to Proof: Number Theory or
Introduction to Proof: Combinatorics or
Introduction to Proof: Sets and Functions or
Introduction to Proof: Logic


1

CSC-150

Computer Science I

4

PHY-271

Analytical Physics I and Laboratory

5

MAT-199 and/or
PHY-199

Math and Physics Colloquium (2 semesters at 0.5 credit each)

1

Complete any two of the following advanced courses in modern axiomatic mathematics (6 credits):

MAT-431
MAT-441
MAT-451
MAT-461

Complex Analysis
Topology
Real Analysis
Abstract Algebra


6

Complete upper-division elective coursework in Mathematics (12 credits):

MAT- ELEC

12 additional credits of 300- or 400-level MAT courses (excluding MAT-498)**

12

Complete an independent study in Mathematics:

MAT-494

Independent Study

1-3

Notes

*Note: Depending on placement, completion of MAT-150 Applied Calculus: A Modeling Approach may be required prior to enrolling in MAT-175.

**A maximum of 3 credits of MAT-494 and MAT-497 in any combination may be counted toward the upper-division elective requirements.

Students interested in graduate work in mathematics are strongly encouraged to take the following courses:

MAT-451 Real Analysis

MAT-461 Abstract Algebra

Mathematics - Computer Science Major

PEAKS | Natural Sciences & Mathematics | Professional Studies & Enhancements |

The Mathematics–Computer Science major is designed to prepare students for a broad variety of careers and for graduate study. Work in computer science includes software development and design, research in solving problems in computing (including data storage, networking, retrieval, organization, validation, and so on), and research into new ways of using computing devices (computer vision, robotics, machine learning, accessibility studies, etc.). Computer science is one of the most rapidly expanding and changing fields of scientific inquiry. Preparation for work in this field is thus inherently interdisciplinary, requiring a strong mathematical background. Majors also complete coursework in effective communication. The problem-solving capabilities acquired in the Mathematics–Computer Science major are of wide utility in many fields of study and careers not directly connected to computer science. Computer Science majors gain familiarity with concepts and technologies that have become an integral part of virtually every profession. Just as organizational, interpersonal, and communication skills have become a requisite part of most successful employment, the capacity to understand, operate, and manipulate computational tools will soon be a professional necessity in all areas of industry and academia. The Mathematics–Computer Science major fulfills the Professional Studies PEAK as well as the Natural Sciences & Mathematics PEAK.

Mathematics-Computer Science Major

50 credits (Total does not include prerequisite courses)

Course Course Title Credits

MAJOR REQUIREMENTS

Complete the Mathematics-Computer Science Core (18 credits):

CSC-150

Computer Science I*

4

CSC-152

Computer Science II

4

CSC-160

Introduction to Computer Architecture

3

CSC-235

Programming Languages

3

MAT-280 or
MAT-281 or
MAT-282 or
MAT-283

Introduction to Proof: Number Theory or
Introduction to Proof: Combinatorics or
Introduction to Proof: Sets and Functions or
Introduction to Proof: Logic


1

SPE-101

Basic Public Speaking

3

Complete a theoretical calculus course (4 credits):

MAT-175 or
MAT-275

Single Variable Calculus or
Multivariable Calculus

4

Complete required intermediate courses in Computer Science, Mathematics, and Physics (19 credits):

CSC-270

Applied Databases

3

CSC-340

Design and Analysis of Algorithms

3

CSC-350

Formal Languages and Automata

3

MAT-252

Discrete Mathematics

3

MAT-361

Linear Algebra

3

PHY-230

Digital Electronics and Laboratory

4

Complete any advanced coursework in Computer Science (3 credits):

CSC-440 or
CSC-450 or
CSC-455 or
CSC-497

Operating Systems or
Advanced Computer Architecture or
Numerical Computation or
Internship

3

Complete the Computer Science capstone sequence (6 credits):

CSC-480

Software Engineering and Senior Design I

2

CSC-481

Software Engineering and Senior Design II

1

CSC-482

Software Engineering and Senior Design III

3

Notes

Mathematics-Computer Science majors may not minor in Mathematics Natural Sciences and Mathematics PEAK), (Computer Studies (Natural Sciences and Mathematics PEAK) or Computer Science (Professional Studies and Enhancements PEAK).

*Completion of MAT-150 Applied Calculus: A Modeling Approach may be required prior to enrolling in CSC-150.

Mathematics - Physics Major

PEAKS | Natural Sciences & Mathematics |

The Mathematics and Physical Sciences Core provides a strong mathematical background to all Mathematics and Mathematics-Physics majors in our Department. This collection of courses incorporates mathematical methods and concepts and fundamentals of computer programming along with the foundational course in Analytical Physics as an introduction to problem-solving, abstract analysis, and applications.

Mathematics-Physics Major

37-40 credits (Total does not include prerequisite courses)

Course Course Title Credits

MAJOR REQUIREMENTS

Complete the Mathematics-Physics Core (18-19 credits):

MAT-175

Single Variable Calculus*

4

MAT-275

Multivariable Calculus

4

[Optional for Math-Physics Majors]
MAT-280 or
MAT-281 or
MAT-282 or
MAT-283

Students who plan to take upper-division mathematics cources other than MAT-352 Differential Equations should complete one of the following:
Introduction to Proof: Number Theory or
Introduction to Proof: Combinatorics or
Introduction to Proof: Sets and Functions or
Introduction to Proof: Logic


1

CSC-150

Computer Science I

4

PHY-271

Analytical Physics I and Laboratory

5

MAT-199 and/or PHY-199

Math and Physics Colloquium (2 semesters at 0.5 credit each)

1

Complete 6 upper-division credits in Physics (6 credits) by completing any two of the following:

PHY-301
PHY-313
PHY-330
PHY-400

Theoretical Mechanics
Thermal Physics
Electricity and Magnetism
Quantum Physics


6

Complete upper-division elective coursework in Mathematics and Physics (12 credits):

MAT-ELEC or
PHY-ELEC

Any 12 additional credits of 300- or 400-level PHY or MAT courses.**

12

Complete an independent study or internship (1-3 credits):

MAT-494 or
MAT-497 or
PHY-494 or
PHY-497***

Independent Study or
Internship or
Independent Study or
Internship

1-3

Notes

*Depending on placement, completion of MAT-150 Applied Calculus: A Modeling Approach may be required prior to enrolling in MAT-175.

**A maximum of 3 credits of independent work (MAT-494, PHY-494, MAT-497, PHY-497, or other) may be counted toward the upper-division elective requirements.

***Other forms of independent work may be accepted with departmental approval.

Students interested in graduate study in physics are strongly encouraged to take the following courses:

PHY-240/240L Electrical and Electronic Circuits and Laboratory

MAT-28X Introduction to Proof (any version)

MAT-361 Linear Algebra

MAT-431 Complex Analysis

PHY-3XX/4XX All 300- and 400-level Physics Courses

Students pursuing graduate study should take PHY-313 and PHY-400 for the maximum 3 credits.