Honors Degree in Mathematics

The Mathematics Honors Program provides a challenging, rigorous and intellectually stimulating education in mathematics for those who are well-prepared or plan to attend graduate school. Students who complete it will be recognized with an honors designation on their degree. This program will place students in a strong position for entry into graduate programs and can also serve as a core of liberal arts courses for those who will pursue other interests, such as law and medicine. The program culminates in a senior thesis project. This is an opportunity to work, one on one, with a faculty advisor. As such, it adds tremendously to the overall undergraduate experience at the university.

Students should plan to complete all required lower division courses, including the physics sequence, before the junior year. Students are enouraged to select a thesis/project and advisor themselves, but the honors advisor is available to help with this and other issues. The final choice of topic needs to be made before the senior year and approved by the honors advisor.

To receive an honors degree in mathematics, a student must receive at least a B in each course required for the program, and must maintain a GPA of at least 3.5 in these courses, as well as a 3.5 overall grade point average. Students in this program are encouraged to fulfill their general education requirements by taking courses from the University Honors Program.

Students planning to earn an honors degree should meet with the honors advisor:

Fernando Guevara Vasquez
LCB 212
801 581 7467
fguevara@math.utah.edu

Course Numbers

Title

Credit Hours

Required courses:
Math 1250, 1260


Calculus for AP Students I, II


4,4

or Math 1210, 1220, 2210

Calculus I, II, III

4,4,3

Math 2900*

Freshman/Sophomore Seminar

2

Math 2270

Linear Algebra

4

Math 2280

Differential Equations

4

Math 3000

Undergraduate Colloquium

1

Math 3210, 3220


Foundations of Analysis I, II


4,4

Math 5210

Real Analysis

4

Math 4200

Complex Analysis

3

Math 4950

Honors Thesis/Project

*Math 2900 is an important introduction to exploratory mathematics. However, upper division Math students who have participated in an individual or group REU project through the Mathematics Department or at another University, or who have participated in a University of Utah UROP project, are enouraged to consider an honors thesis and degree. If such students are so mathematically advanced as to make Math 2900 no longer appropriate, and upon approval of the Honors Advisor, this research experience may substitute for Math 2900.

Electives:
Select at least 21 credits from among the following courses (these must include at least two of the listed full year sequences). Courses excluded from the mathematics major are also excluded here.

>21

Math 2200

Discrete Mathematics (or CS 2100)

3

Math 4400

Introduction to Number Theory

3

Math 4510

Introduction to Topology

3

Math 4530

Curves and Surfaces

3

Math 4510, 5520

Topology

3,3

Math 5010, 5040

Probability and Statistics

3,3

Math 5010, 5080

Probability and Statistics

3,3

Math 5110, 5120

Math Biology I, II

3,3

Math 5310, 5320

Modern Algebra

3,3

Math 5410, 5420

Ordinary Differential Equations

4,3

Math 5610, 5620

Numerical Analysis

4,4

Math 5710, 5720

Applied Mathematics

3,3

Any course numbered above 5000

Any 6000 level sequence

Allied courses:
Physics 2210, 2220


Physics for Scientists, and Engineers I, II


4,4

or Physics 3210, 3220

Physics for Scientists I, II

4,4