## Degree Options

## Required Courses

Math 1210: Calculus I

Math 1220: Calculus II

Math 2210: Calculus III

Math 2270: Linear Algebra

Math 2280: Differential Equations

Math 3210: Foundations of Analysis I

Math 3220: Foundations of Analysis II

## Elective Courses

**Seven different semester courses** in mathematics chosen from Math 2200 or CS 2100 and any Math course numbered 4200
or higher

**Except**: 4910 (Internship), 4950 (Departmental Honors Thesis), 4999 (University Honors Thesis),
5000 (Problem Seminar), 5140 / 5150 / 5155 / 5160 / 5165 (Mathematics Curriculum/Instruction), 5270 (Transformational
Geometry), 5280 (Statistics for Teachers), 5700 (Teaching Capstone), 5910 (Supervised
Reading), 5960 (Special Project), 5969 (Topics in Statistics).

## Allied Courses

Physics 2210 & 2220

**- OR -**

Physics 3210 & 3220

## Required Courses

Math 1210: Calculus I

Math 1220: Calculus II

Math 2210: Calculus III

Math 2270: Linear Algebra

Math 3070: Applied Statistics I

Math 3080: Applied Statistics II

Math 3210: Foundations of Analysis I

Math 3220: Foundations of Analysis II

Math 5010: Probability

Math 5080: Statistical Inference I

Math 5090: Statistical Inference II

## Elective Courses

*Select ***four courses*** from the following list:*

Math 2200: Discrete Math

Math 4200: Complex Variables

Math 4400: Introduction to Number Theory

Math 4600: Math in Medicine

Math 5030: Actuarial Math

Math 5040: Stochastic Processes I

Math 5050: Stochastic Processes II

Math 5075: Time Series Analysis

Math 5210: Real Analysis

Math 5405: Codes and Cryptography

Math 5410: Differential Equations

Math 5420: Dynamical Systems

Math 5610: Numerical Analysis I

Math 5620: Numerical Analysis II

Math 5710: Applied Mathematics I

Math 5720: Applied Mathematics II

Math 5750: Topics in Applied Math

Math 5760: Mathematical Finance I

Math 5765: Mathematical Finance II

Math 5770: Introduction to Optimization

## Allied Courses

*Select ***two courses*** from the following list, or see the undergraduate advisor about approval of courses
not on this list.*

Econ 4010: Microeconomic Analysis

Econ 4020: Macroeconomic Analysis

Econ 5969: Special Topics in Econ (cross listed as Stat 5969, FCS, 5969, etc)

Finan 3000: Fundamentals of Investing

Finan 3040: Financial Management

Finan 3050: Intro to Investments

Finan 4330: Credit Institutions

Stat 5003: Survey of Statistical Packages

## Required Courses

Math 1210: Calculus I

Math 1220: Calculus II

Math 2210: Calculus III

Math 2270: Linear Algebra

Math 2280: Differential Equations

Math 3210: Foundations of Analysis I

Math 3220: Foundations of Analysis II

Math 5610: Numerical Analysis I

Math 5620: Numerical Analysis II

Math 5960: Special Project

## Elective Courses

*Select ***four courses*** from the following list:*

Math 2200: Discrete Math

Math 4400: Introduction to Number Theory

Math 4800: Introduction to Research

Math 5010: Probability

Math 5040: Stochastic Processes I

Math 5050: Stochastic Processes II

Math 5075: Time Series Analysis

Math 5080: Statistical Inference I

Math 5090: Statistical Inference II

Math 5110: Math Biology I

Math 5120: Math Biology II

Math 5410: Differential Equations

Math 5420: Dynamical Systems

Math 5440: Partial Differential Equations

Math 5470: Chaos and Nonlinear Systems

Math 5710: Applied Mathematics I

Math 5720: Applied Mathematics II

Math 5740: Mathematical Modeling

Math 5750: Topics in Applied Mathematics

Math 5760: Mathematical Finance I

Math 5765: Mathematical Finance II

Math 5770: Introduction to Optimization

## Allied Courses

Physics 2210 **OR** Physics 3210

*Select ***at least two courses*** from the following list: *

Physics 2220 **OR** Physics 3220: Physics II

CS 1410: Intro to Object-Oriented Programming

CS 2420: Intro to Algorithms and Data Structures

*Note: The prerequesite for CS 1410 is CS 1030, or you may contact the Computer Science
department regarding testing into CS 1410.*

## Required Courses

Math 1210: Calculus I

Math 1220: Calculus II

Math 2210: Calculus III

Math 2200: Discrete Mathematics (or CS 2100)

Math 2270: Linear Algebra

Math 2280: Differential Equations

Math 3210: Foundations of Analysis I

Math 3220: Foundations of Analysis II

Math 4200: Complex Variables (or Math 3160)

Math 5010: Probability / Statistics (or Math 3070)

Math 5600: Numerical Analysis (or Math 5610)

## Elective Courses

*Select ***at least four courses*** from the following list. Up to three courses from other departments may be substituted provided
they have significant mathematical content and advisor approval. *

Math 4400: Introduction to Number Theory

Math 4600: Mathematics in Medicine

Math 4800: Introduction to Research

Math 5030: Actuarial Mathematics

Math 5040: Stochastic Processes I

Math 5050: Stochastic Processes II

Math 5080: Statistical Inference I

Math 5090: Statistical Inference II

Math 5110: Math Biology I

Math 5120: Math Biology II

Math 5210: Real Analysis

Math 5310: Modern Algebra I

Math 5405: Codes and Cryptography

Math 5410: Differential Equations

Math 5420: Dynamical Systems

Math 5440: Partial Differential Equations

Math 5470: Chaos and Nonlinear Systems

Math 5500: Calculus of Variations

Math 5510: Intro to Topology

Math 5620: Numerical Analysis II

Math 5710: Applied Mathematics I

Math 5720: Applied Mathematics II

Math 5740: Mathematical Modeling

Math 5750: Topics in Applied Mathematics

Math 5760: Mathematical Finance I

Math 5765: Mathematical Finance II

Math 5770: Introduction to Optimization

## Allied Courses

Physics 2210 & 2220 **OR** Physics 3210 & 3220

*Select *** one course*** from the following list: *

CS 1410: Intro to Object-Oriented Programming

Physics 3730: Intro to Computing in Physics

*Note: The prerequesite for CS 1410 is CS 1030, or you may contact the Computer Science
department regarding testing into CS 1410.*

## Required Courses

Math 1210: Calculus I

Math 1220: Calculus II

Math 2210: Calculus III

Math 2200: Discrete Math

Math 2270: Linear Algebra

Math 2280: Differential Equations

Math 3010: History of Mathematics

Math 3070: Applied Statistics I

Math 3100: Foundations of Geometry

Math 3210: Foundations of Analysis I

Math 4030: Foundations of Algebra

Math 4090: Teaching Secondary School Mathematics

Math 4095: Practicum for Secondary Math Teachers

Math 5700: Capstone Course

## Elective Courses

*Select *** one course*** from the following list, or another course numbered above 4200 except those excluded
from the regular mathematics major.*

Math 3220: Foundations of Analysis II

Math 4400: Intro to Number Theory

Math 5270: Transformational Geometry

## Allied Courses

Physics 2210 **OR** Physics 3210 (The math department strongly advises student complete the physics sequence)

Students **must** complete the Secondary Teacher Licensure Program through the Urban Institute for Teacher Education (UITE). Contact the UITE advisors for an appointment regarding the licensure program.

It is strongly recommended that students complete a teaching minor in another subject area.

### Comprehensive Exam

To graduate with a mathematics teaching major students must receive a score of **165** or higher on the Praxis Exam #5161: "Mathematics: Content Knowledge"

In order to pursue an honors degree in mathematics, students must first be admitted to the Honors College. They must complete the coursework required by the Honors Colloge and they must complete the mathematics coursework. For more information, please see the department honors advisor.

## Department Requirements

*In addition to the requirements for the mathematics degree you have selected, the
following additional requirements apply to those students seeking an Honors Degree:*

Math 3000: Undergraduate Colloquium

B or better in all courses required for major

Math GPA of at least 3.5

Overall GPA of at least 3.5

## Honors College Requirements

2 Intellectual Traditions Courses

1 Honors Writing Course

4 Honors Electives

Honors Thesis (Math 4999)

*Courses offered by the Math Department that fill Honors elective requirements are:*

Math 1250: AP Calculus I

Math 1260: AP Calculus II

Math 3210: Foundations of Analysis I

Math 3220: Foundations of Analysis II

Math 4200: Intro to Complex Variables

Math 4800: Introduction to Research

Math 5210: Intro to Real Analysis

Students in the Honors College are encouraged to visit with their Honors Advisor, Mathematics Department Faculty Honors Advisor, and the Mathematics Undergraduate Advisor.

Mathematics minors must receive a C or better in all math courses.

## Required Courses

Math 1210: Calculus I

Math 1220: Calculus II

Math 2210: Calculus III

Math 3210: Foundations of Analysis I

Math 3220: Foundations of Analysis II **OR** Math 4200 or higher*

*Note: To fulfill requirement, student must take Math 3220 or any Math course numbered 4200 or higher, except 4910 (Internship), 4950 (Departmental Honors Thesis), 4999 (University Honors Thesis), 5000 (Problem Seminar), 5140 / 5150 / 5155 / 5160 / 5165 (Mathematics Curriculum/Instruction), 5270 (Transformational Geometry), 5280 (Statistics for Teachers), 5700 (Teaching Capstone), 5910 (Supervised Reading), 5960 (Special Project), 5969 (Topics in Statistics).

## Elective Courses

Select three other mathematics courses with a prerequisite of at least Calculus II. Please have your choices approved by the Undergraduate Advisor.

**One** elective must be chosen from

Math 2200: Discrete Math (recommended)

Math 2270: Linear Algebera

Math 2250: Linear Algebra and Differential Equations

## Required Courses

Math 1210: Calculus I

Math 1220: Calculus II

Math 2210: Calculus III

Math 2270: Linear Algebra

Math 3070: Applied Statistics I

Math 3100: Foundations of Geometry

Math 4030: Foundations of Algebra

Math 4090: Teaching Secondary School Mathematics

Math 4095: Practicum for Secondary Math Teachers

*Note: Math 2200 - Discrete Mathematics must be taken as the prerequisite for some
of the courses required for the Math Teaching Minor*

**Departmental Graduation Requirements**

In addition to the required course work necessary for the specific majors, all math
majors are required to:

- Receive a “C” or better in all math courses (this applies to the minor also) and a “C-” or better in allied courses. Teaching majors must receive a “C+” or better in all math courses and a C or better in physics.
- Maintain a minimum GPA of 2.3 in mathematics courses. Teaching majors must maintain a minimum GPA of 2.8 in mathematics courses.
- Complete at least 18 upper division credit hours of University of Utah mathematics courses.
- Successfully pass, with a C or better (C+ or better for teaching majors), all mathematics courses within 3 attempts. Failure to pass any mathematics course with a C or better within 3 attempts will result in dismissal from the major. A withdrawal will be considered an attempt.
- An exit survey is required the semester a student graduates.

Notes:

- Qualified students are encouraged to substitute
**Math 1250-1260**for**Math 1210-1220-2210**. - Students initially majoring in engineering may substitute
**Math 1311-1322**or**Math 1310-1320-3140**for the Calculus sequence. - Students whose initial majors require
**Math 2250**may substitute**Math 2250-2270-(3140 or 3150)**for**Math 2270-2280**.

Mathematics Major / Minor Requirements (Printable Handout)

# Combined BS/MS Program

Undergraduate math majors who would like to be admitted to the combined BS/MS program
must apply during their junior year. To be eligible for the program a student must
have maintained a 3.5 GPA overall and in their major (which must be mathematics),
and indications must be that the student will successfully satisfy the requirements
for both the Bachelor's and Master's degrees within two years after beginning the
program. Interested students must apply to the department's graduate program and submit
a detailed program of study that has been prepared with the help of the student's
advisor(s). Students must also submit a graduate application to the admissions office.
When applying for the BS/MS program students must meet the regular graduate application
deadlines:

March 15th for Fall Semester

November 1st for Spring Semester

March 15th for Summer Semester

Please note that beginning the program in the summer semester is not encouraged due
to the lack of graduate program classes available in the summer.

Students wishing to participate in this program are strongly encouraged to participate
in research early in their program of study. Transfer students may be considered for the program
only after completing 24 hours of coursework at the University of Utah. For more information
please contact our Graduate Program Coordinator.