Mathematics (BA/BS)

The field of mathematics sits midway between the sciences and the humanities. Like the sciences, mathematical thought is very analytical, precise, and rigorous. But like the arts and humanities, mathematics is about exploring places of incredible grace and beauty, some of which can only be accessed through the power of imagination. You can explore geometry in ten-dimensional space, learn about advanced and exotic number systems, and study statistical techniques for finding patterns in data sets, all in a supportive and collaborative environment.

Students majoring in mathematics can choose a track from three areas: applied mathematics, pure mathematics, and secondary teaching. Applied mathematics studies physical, biological, and sociological aspects; pure mathematics focuses on the development of mathematical principles for their own sake; and secondary teaching prepares students to teach math. Regardless of your focus, the mathematics major will teach you the art of disciplined and logical thought, skills that are very valuable to future employers. A mathematics degree prepares you for work in fields like engineering, computer programming, information technology, financial planning, data management, business, and education.

Program Learning Outcomes

Upon successful completion of this program, students will be able to:

  • Demonstrate proficiency with the calculational techniques and applications of calculus, including the ability to show that limits and derivatives do or do not exist.
  • Demonstrate a familiarity with the breadth of mathematics, including linear algebra and at least one area from modern algebra, basic analysis, and number theory.
  • Read and write mathematical proofs, producing arguments that are logically and syntactically correct.
  • Demonstrate an in-depth understanding of some area of mathematics.
  • For students on the secondary education track only: Pass the licensure examination in mathematics.

The department offers undergraduate preparation for positions in government, business, and industry and for graduate work in mathematics and statistics. Each student’s major program is individually constructed in consultation with an advisor.

Upper-division courses used to satisfy major requirements must be taken for letter grades, and only one D grade (D+ or D or D–) may be counted toward the upper-division requirement. At least 12 credits in upper-division mathematics courses must be taken in residence at the university.

Statistical Methods I (MATH 425) cannot be used to satisfy requirements for a mathematics major or minor.

To qualify for a bachelor’s degree with a major in mathematics, a student must satisfy the requirements for one of three options: the standard track, pure mathematics, or secondary teaching. In each option, most courses require calculus as a prerequisite, and in each option some of the courses require satisfying the bridge requirement.

Mathematics Major - Standard Track

MATH 253Calculus III4
MATH 281–282Several-Variable Calculus I-II8
MATH 341–342Elementary Linear Algebra8
CS 122Introduction to Programming and Problem Solving4
Select one of the following sets of Bridge courses:12
MATH 231–232 and two of MATH 201–206
MATH 261–262 and two of MATH 201–206
MATH 307 and four of MATH 201–206
Select one of the following Fundamentals sequences:8
Fundamentals of Analysis I-II
Fundamentals of Number Theory I-II
Fundamentals of Abstract Algebra I-II
Select four of the following, including at least one two-term sequence: 216
Fundamentals of Analysis I
Fundamentals of Analysis II
Theory of Differential Equations
Statistical Models and Methods 3, 4
Probability and Statistics for Data Science 3, 4
Probability and Statistics for Data Science 3, 4
Fundamentals of Number Theory I
Fundamentals of Number Theory II
Elementary Numerical Analysis I
Elementary Numerical Analysis II
Fundamentals of Abstract Algebra I
Fundamentals of Abstract Algebra II
Geometries from an Advanced Viewpoint I
Geometries from an Advanced Viewpoint II
History and Applications of Calculus
Functions of a Complex Variable I
Functions of a Complex Variable II
Introduction to Analysis I
Introduction to Analysis II
Introduction to Analysis III
Partial Differential Equations: Fourier Analysis I
Partial Differential Equations: Fourier Analysis II
Introduction to Topology I
Introduction to Topology II
Introduction to Differential Geometry
Linear Algebra
Introduction to Abstract Algebra I
Introduction to Abstract Algebra II
Introduction to Abstract Algebra III
Networks and Combinatorics
Introduction to Mathematical Cryptography
Introduction to Mathematical Methods of Statistics I
Introduction to Mathematical Methods of Statistics II 3, 4
Mathematical Methods of Regression Analysis and Analysis of Variance
Stochastic Processes
Total Credits60

Mathematics Major - Pure Mathematics

MATH 253Calculus III4
MATH 281–282Several-Variable Calculus I-II8
MATH 316–317Fundamentals of Analysis I-II 18
MATH 341–342Elementary Linear Algebra8
CS 122Introduction to Programming and Problem Solving4
Select one of the following sets of Bridge courses:12
Elements of Discrete Mathematics I-II (and two from MATH 201–206)
Calculus with Theory I-II (and two from MATH 201–206)
Introduction to Proof (and four from MATH 201–206)
Select one of the following Abstract Algebra sequences:8
Fundamentals of Abstract Algebra I-II
Introduction to Abstract Algebra I-II
Select two of the following: 28
Theory of Differential Equations
Statistical Models and Methods 3
Probability and Statistics for Data Science 3, 4
Probability and Statistics for Data Science 3, 4
Fundamentals of Number Theory I
Fundamentals of Number Theory II
Elementary Numerical Analysis I
Elementary Numerical Analysis II
Fundamentals of Abstract Algebra I
Fundamentals of Abstract Algebra II
Geometries from an Advanced Viewpoint I
Geometries from an Advanced Viewpoint II
History and Applications of Calculus
Functions of a Complex Variable I
Functions of a Complex Variable II
Introduction to Analysis I
Introduction to Analysis II
Introduction to Analysis III
Partial Differential Equations: Fourier Analysis I
Partial Differential Equations: Fourier Analysis II
Introduction to Topology I
Introduction to Topology II
Introduction to Differential Geometry
Linear Algebra
Introduction to Abstract Algebra I
Introduction to Abstract Algebra II
Introduction to Abstract Algebra III
Introduction to Mathematical Methods of Statistics I
Introduction to Mathematical Methods of Statistics II 3
Mathematical Methods of Regression Analysis and Analysis of Variance
Stochastic Processes
Total Credits60

Mathematics Major - Secondary Teaching

MATH 253Calculus III4
MATH 281Several-Variable Calculus I4
MATH 341Elementary Linear Algebra4
MATH 343Statistical Models and Methods4
CS 122Introduction to Programming and Problem Solving4
Select one of the following sets of Bridge courses:12
Elements of Discrete Mathematics I-II (and two from MATH 201–206)
Calculus with Theory I-II (and two from MATH 201–206)
Introduction to Proof (and from from MATH 201–206)
Select two of the following Fundamentals sequences: 116
Fundamentals of Analysis I-II
Fundamentals of Number Theory I-II
Fundamentals of Abstract Algebra I-II
MATH 394–395Geometries from an Advanced Viewpoint I-II8
MATH 397History and Applications of Calculus4
Total Credits60

Four-Year Degree Plan

The degree plan shown is only a sample of how students may complete their degrees in four years. There are alternative ways. Students should consult their advisor to determine the best path for them.

To enroll with courses that have prerequisites, students must complete the prerequisite course with grades of C– or better or P. All upper-division mathematics courses must be taken for letter grades to count toward a mathematics major or minor, and only one D grade (D+ or D or D–) may be counted toward the upper-division requirements for the major or minor.

Bachelor of Arts in Mathematics: Standard Track

Degree Map
First Year
FallMilestonesCredits
MATH 203 Analysis and Number Theory Math Lab 2
MATH 251 Calculus I 4
WR 121Z Composition I 4
First term of first-year second-language sequence 5
 Credits 15
Winter
MATH 252 Calculus II 4
WR 122Z
Composition II
or College Composition III
4
MATH 201 Algebra Math Lab 2
Second term of first-year second-language sequence 5
 Credits 15
Spring
MATH 253 Calculus III 4
Third term of first-year second-language sequence 5
Social science area-satisfying course 4
Science group area-satisfying course 4
 Credits 17
Second Year
Fall
MATH 281 Several-Variable Calculus I 4
MATH 341 Elementary Linear Algebra 4
Arts and letters area-satisfying course 4
First term of second-year second-language sequence 4
 Credits 16
Winter
MATH 282 Several-Variable Calculus II 4
MATH 342 Elementary Linear Algebra 4
Second term of second-year second-language sequence 4
Social science area-satisfying course 4
 Credits 16
Spring
MATH 202 Geometry Math Lab 2
MATH 205 Foundations Math Lab 2
MATH 307 Introduction to Proof Mathematics major bridge requirement completed4
Third term of second-year second-language sequence BA language requirement completed4
Science area-satisfying course 4
 Credits 16
Third Year
Fall
MATH 316 Fundamentals of Analysis I 4
Arts and letters group satisfying course 4
Science group-satisfying course Science group requirement completed4
Upper-division Elective 4
 Credits 16
Winter
MATH 317 Fundamentals of Analysis II Mathematics major fundamentals requirement completed4
Social science group satisfying course 4
Arts and letters group satisfying course 4
Upper-division elective 4
 Credits 16
Spring
MATH 458 Introduction to Mathematical Cryptography 4
CS 122 Introduction to Programming and Problem Solving 4
Social science area satisfying course Social science area requirement completed4
Arts and letters area satisfying course Arts and letters area requirement completed4
 Credits 16
Fourth Year
Fall
MATH 461 Introduction to Mathematical Methods of Statistics I 4
Upper-division elective 4
Upper-division elective Completed the multicultural requirement4
 Credits 12
Winter
MATH 462 Introduction to Mathematical Methods of Statistics II Upper-division mathematics sequence completed4
Upper-division elective 4
Upper-division elective Need 26 upper-division credits beyond the mathematics major4
 Credits 12
Spring
MATH 397 History and Applications of Calculus Mathematics major requirements completed4
Upper-division elective 4
Elective 4
Elective 180 credits completed4
 Credits 16
 Total Credits 183

Bachelor of Science in Mathematics: Standard Track

Degree Map
First Year
FallMilestonesCredits
MATH 251 Calculus I BS mathematics requirement completed;4
WR 121Z Composition I 4
Social science group-satisfying course 4
Science group-satisfying course 4
 Credits 16
Winter
WR 122Z
Composition II
or College Composition III
4
Arts and letters group-satisfying course 4
MATH 201 Algebra Math Lab 2
MATH 206 Combinatorics Math Lab 2
MATH 252 Calculus II 4
 Credits 16
Spring
MATH 253 Calculus III 4
Arts and letters group-satisfying course 4
Social science group-satisfying course 4
Elective 4
 Credits 16
Second Year
Fall
MATH 202 Geometry Math Lab 2
MATH 205 Foundations Math Lab 2
MATH 281 Several-Variable Calculus I 4
Arts and letters group-satisfying course 4
Science group-satisfying course 4
 Credits 16
Winter
MATH 282 Several-Variable Calculus II 4
MATH 341 Elementary Linear Algebra 4
Elective 4
Social science group-satisfying course 4
 Credits 16
Spring
MATH 307 Introduction to Proof Mathematics major bridge requirement completed4
MATH 342 Elementary Linear Algebra 4
Arts and letters group-satisfying course Arts and letters group requirement completed4
Science group-satisfying course 4
 Credits 16
Third Year
Fall
CS 210 Computer Science I 4
MATH 391 Fundamentals of Abstract Algebra I 4
Social science group-satisfying course Social science group requirement completed4
Upper-division Elective 4
 Credits 16
Winter
MATH 392 Fundamentals of Abstract Algebra II Mathematics major fundamentals requirement completed4
Upper-division elective 4
Elective 4
Elective 4
 Credits 16
Spring
MATH 397 History and Applications of Calculus 4
Upper-division elective 4
Upper-division elective 4
Elective 4
 Credits 16
Fourth Year
Fall
MATH 444 Introduction to Abstract Algebra I 4
Upper-division elective 4
Elective Completed multicultural requirement4
 Credits 12
Winter
MATH 445 Introduction to Abstract Algebra II Mathematics major upper-division sequence requirement completed4
Upper-division elective 4
Upper-division elective 4
 Credits 12
Spring
MATH 458 Introduction to Mathematical Cryptography Mathematics major completed4
Elective 4
Elective 180 credits completed4
 Credits 12
 Total Credits 180

Bachelor of Arts in Mathematics: Pure Mathematics

Degree Map
First Year
FallMilestonesCredits
MATH 203 Analysis and Number Theory Math Lab 2
MATH 251 Calculus I 4
WR 121Z Composition I 4
First term of first-year second-language sequence 5
 Credits 15
Winter
WR 122Z
Composition II
or College Composition III
4
MATH 201 Algebra Math Lab 2
MATH 252 Calculus II 4
Second term of first-year second-language sequence 5
 Credits 15
Spring
MATH 253 Calculus III 4
Third term of first-year second-language sequence 5
Social science group-satisfying course 4
Science group group-satisfying course 4
 Credits 17
Second Year
Fall
MATH 281 Several-Variable Calculus I 4
MATH 341 Elementary Linear Algebra 4
Arts and letters group-satisfying course 4
First term of second-year second-language sequence 4
 Credits 16
Winter
MATH 282 Several-Variable Calculus II 4
MATH 342 Elementary Linear Algebra 4
Second term of second-year second-language sequence 4
Social science group-satisfying course 4
 Credits 16
Spring
MATH 202 Geometry Math Lab 2
MATH 205 Foundations Math Lab 2
MATH 307 Introduction to Proof MATH major Bridge requirement completed4
Third term of second-year second-language sequence BA language requirement completed4
Science group-satisfying course 4
 Credits 16
Third Year
Fall
MATH 316 Fundamentals of Analysis I 4
Arts and letters group satisfying course 4
Science group-satisfying course Science group requirement completed4
Upper-division Elective 4
 Credits 16
Winter
MATH 317 Fundamentals of Analysis II MATH major Analysis requirement completed4
Social science group satisfying course 4
Arts and letters group satisfying course 4
Upper-division elective 4
 Credits 16
Spring
CS 122 Introduction to Programming and Problem Solving 4
MATH 433 Introduction to Differential Geometry 4
Social science group satisfying course Social science group requirement completed4
Arts and letters group satisfying course Arts and letters group requirement completed4
 Credits 16
Fourth Year
Fall
MATH 444 Introduction to Abstract Algebra I 4
Upper-division elective 4
Upper-division elective Complete the multi-cultural requirement by now4
 Credits 12
Winter
MATH 445 Introduction to Abstract Algebra II MATH major Abstract Algebra requirement completed4
Upper-division elective 4
Upper-division elective 4
 Credits 12
Spring
MATH 320 Theory of Differential Equations (MATH major requirements completed) 4
Upper-division elective 4
Elective 4
Elective 180 credits completed4
 Credits 16
 Total Credits 183

Bachelor of Science in Mathematics: Pure Mathematics

Degree Map
First Year
FallMilestonesCredits
WR 121Z Composition I 4
MATH 251 Calculus I (Only one MATH course can be counted toward science group requirement) BS MATH requirement completed4
Social science group-satisfying course 4
Science group-satisfying course 4
 Credits 16
Winter
WR 122Z
Composition II
or College Composition III
4
MATH 201 Algebra Math Lab 2
MATH 206 Combinatorics Math Lab 2
MATH 252 Calculus II 4
Arts and letters group-satisfying course 4
 Credits 16
Spring
MATH 253 Calculus III 4
Arts and letters group-satisfying course 4
Social science group-satisfying course 4
Elective 4
 Credits 16
Second Year
Fall
MATH 202 Geometry Math Lab 2
MATH 205 Foundations Math Lab 2
MATH 281 Several-Variable Calculus I 4
Arts and letters group-satisfying course 4
Science group-satisfying course 4
 Credits 16
Winter
MATH 282 Several-Variable Calculus II 4
MATH 341 Elementary Linear Algebra 4
Elective 4
Social science group-satisfying course 4
 Credits 16
Spring
MATH 307 Introduction to Proof MATH major Bridge requirement completed4
MATH 342 Elementary Linear Algebra 4
Arts and letters group-satisfying course Arts and letters group requirement completed4
Science group-satisfying course 4
 Credits 16
Third Year
Fall
CS 210 Computer Science I 4
MATH 391 Fundamentals of Abstract Algebra I 4
Social science group-satisfying course Social science group requirement completed4
Upper-division Elective 4
 Credits 16
Winter
MATH 392 Fundamentals of Abstract Algebra II MATH major Abstract Algebra requirement completed4
Upper-division elective 4
Elective 4
Elective 4
 Credits 16
Spring
MATH 320 Theory of Differential Equations 4
Upper-division elective 4
Upper-division elective 4
Elective 4
 Credits 16
Fourth Year
Fall
MATH 316 Fundamentals of Analysis I 4
Upper-division elective 4
Elective Complete the multi-cultural requirement by now4
 Credits 12
Winter
MATH 317 Fundamentals of Analysis II MATH major Analysis requirement complete4
Upper-division elective 4
Upper-division elective 4
 Credits 12
Spring
MATH 458 Introduction to Mathematical Cryptography MATH major completed4
Elective 4
Elective 180 credits completed4
 Credits 12
 Total Credits 180

Bachelor of Arts in Mathematics: Secondary Teaching

Degree Map
First Year
FallMilestonesCredits
WR 121Z Composition I 4
MATH 203 Analysis and Number Theory Math Lab 2
MATH 251 Calculus I (Only one MATH course can be counted toward science group requirement) 4
First term of first-year second-language sequence 5
 Credits 15
Winter
WR 122Z
Composition II
or College Composition III
4
MATH 201 Algebra Math Lab 2
MATH 252 Calculus II 4
Second term of first-year second-language sequence 5
 Credits 15
Spring
MATH 253 Calculus III 4
Third term of first-year second-language sequence 5
Social science group-satisfying course 4
Science group-satisfying course 4
 Credits 17
Second Year
Fall
MATH 281 Several-Variable Calculus I 4
MATH 341 Elementary Linear Algebra 4
Arts and letters group-satisfying course 4
First term of second-year second-language sequence 4
 Credits 16
Winter
CS 122 Introduction to Programming and Problem Solving 4
MATH 307 Introduction to Proof 4
Second term of second-year second-language sequence 4
Social science group-satisfying course 4
 Credits 16
Spring
MATH 202 Geometry Math Lab 2
MATH 205 Foundations Math Lab MATH major Bridge requirement completed2
MATH 343 Statistical Models and Methods 4
Third term of second-year second-language sequence BA language requirement completed4
Science group-satisfying course Science group requirement completed4
 Credits 16
Third Year
Fall
MATH 391 Fundamentals of Abstract Algebra I 4
Science group-satisfying course Science group requirement completed4
Arts and letters group satisfying course 4
Upper-division Elective 4
 Credits 16
Winter
MATH 392 Fundamentals of Abstract Algebra II 4
Upper-division elective 4
Social science group satisfying course 4
Arts and letters group satisfying course 4
 Credits 16
Spring
MATH 397 History and Applications of Calculus 4
Social science group satisfying course Social science group requirement completed4
Arts and letters group satisfying course Arts and letters group requirement completed4
Elective 4
 Credits 16
Fourth Year
Fall
MATH 394 Geometries from an Advanced Viewpoint I 4
Upper-division elective 4
Upper-division elective Complete the multi-cultural requirement by now4
 Credits 12
Winter
MATH 347 Fundamentals of Number Theory I 4
MATH 395 Geometries from an Advanced Viewpoint II 4
Upper-division elective 4
Upper-division elective 4
 Credits 16
Spring
MATH 348 Fundamentals of Number Theory II MATH major completed4
Upper-division elective 4
Elective 180 credits completed4
 Credits 12
 Total Credits 183

Bachelor of Science in Mathematics: Secondary Teaching

Degree Map
First Year
FallMilestonesCredits
WR 121Z Composition I 4
MATH 251 Calculus I (Only one MATH course can be counted toward science group requirement) BS MATH requirement completed4
Social science group-satisfying course 4
Science group-satisfying course 4
 Credits 16
Winter
WR 122Z
Composition II
or College Composition III
4
MATH 201 Algebra Math Lab 2
MATH 206 Combinatorics Math Lab 2
MATH 252 Calculus II 4
Arts and letters group-satisfying course 4
 Credits 16
Spring
MATH 253 Calculus III 4
Arts and letters group-satisfying course 4
Social science group-satisfying course 4
Elective 4
 Credits 16
Second Year
Fall
MATH 202 Geometry Math Lab 2
MATH 205 Foundations Math Lab 2
MATH 281 Several-Variable Calculus I 4
Arts and letters group-satisfying course 4
Science group-satisfying course 4
 Credits 16
Winter
MATH 307 Introduction to Proof MATH major Bridge requirement completed4
MATH 341 Elementary Linear Algebra 4
Elective 4
Social science group-satisfying course 4
 Credits 16
Spring
CS 122 Introduction to Programming and Problem Solving 4
MATH 343 Statistical Models and Methods 4
Arts and letters group-satisfying course Arts and letters group requirement completed4
Science group-satisfying course 4
 Credits 16
Third Year
Fall
MATH 391 Fundamentals of Abstract Algebra I 4
Social science group-satisfying course Social science group requirement completed4
Elective 4
Upper-division elective 4
 Credits 16
Winter
MATH 347 Fundamentals of Number Theory I 4
MATH 392 Fundamentals of Abstract Algebra II MATH major Abstract Algebra requirement completed4
Upper-division elective 4
Elective 4
 Credits 16
Spring
MATH 348 Fundamentals of Number Theory II 4
Upper-division elective 4
Upper-division elective 4
Elective 4
 Credits 16
Fourth Year
Fall
MATH 394 Geometries from an Advanced Viewpoint I 4
Upper-division elective 4
Elective Complete the multi-cultural requirement by now4
 Credits 12
Winter
MATH 395 Geometries from an Advanced Viewpoint II 4
Upper-division elective 4
Upper-division elective 4
 Credits 12
Spring
MATH 397 History and Applications of Calculus (MATH major requirements completed) 4
Elective 4
Elective 180 credits completed4
 Credits 12
 Total Credits 180