The Department of Mathematics offers a curriculum leading to the degree of Bachelor of Science in Mathematics. This degree is well-suited for students aiming toward a variety of mathematical careers in industry or secondary education, or planning for graduate education. Modern industrial and scientific enterprises are so dependent on advanced mathematical concepts that mathematicians are needed today by almost all concerns that are engaged in such work. Foreign languages are encouraged for students interested in research. A maximum of 8 hours of foreign languages may be taken and applied to the approved electives requirements. German, French and Russian are the approved languages.

##### Department Goal

- Prepare students for employment or graduate study in a subject related to mathematics

- Be able to apply both theoretical and computational techniques to the solution of mathematical problems.
- Be able to comprehend, formulate and produce mathematical proofs.
- Be able to communicate correct mathematical content in both written and oral form.
- Be able to understand a broad array of interconnected concepts within mathematics.

- Completion of at least 47 credit hours in Mathematics
- 31 credit hours of Core Mathematics courses
- 46 credit hours for Teaching option
- A minimum 2.0 in each required mathematics course
- A CU minimum GPA of 2.0
- An Exit Interview with the Mathematics department is required prior to graduation.
- All Mathematics majors are required to meet with a faculty advisor in the Mathematics department during their first year as Mathematics majors. Mathematics students should check the Academic Advising Guides for additional information regarding the degree requirements.

## Core Courses (31 Credit Hours)

The Mathematics Core courses allow students to become familiar with the different subfields of mathematics before choosing their focus.

- MATH 1350 - Calculus I
- MATH 1360 - Calculus II
- MATH 2150 - Discrete Math
- MATH 2350 - Calculus III
- MATH 2650 - Introduction to Computational Mathematics
- MATH 3110 - Theory of Numbers
- MATH 3130 - Introduction to Linear Algebra
- MATH 3400 - Introduction to Differential Equations
- MATH 3410 - Introduction to Analysis
- MATH 3810 - Introduction to Probability and Statistics

## Pure Math

- MATH 4040 - Senior Math Seminar
- MATH 4140 - Modern Algebra I
- MATH 4310 - Modern Analysis I
- Complete 9 additional credit hours of elected Mathematics courses numbered 4000 or higher.

## 4000+ level Course Recommendations

Students interested in pursuing a graduate degree in pure math are advised to take the following courses:

- Math 4130- Linear Algebra I
- Math 4150- Modern Algebra II
- Math 4320- Modern Analysis II

## Applied Mathematics

- MATH 4040- Senior Math Seminar
- MATH 4310- Modern Analysis I
- MATH 4470- Methods of Applied Mathematics
- MATH 4650- Numerical Analysis
- PES 1110- General Physics I - Calculus Based
- PES 1120- General Physics II
- PES 1160- Advanced Physics Lab I

Complete one of the following Computer Science course sequences.

- CS 1120 - Computational Thinking with Beginning Programming
- CS 2060 - Programming with C

or

- CS 1150 - Principles of Computer Science
- CS 1450 - Data Structures and Algorithms
- Complete 6 additional credit hours of elected Mathematics courses numbered 4000 or higher.

## 4000+ level Course Recommendations

Students interested in pursuing a graduate degree in applied mathematics or a career in industry are advised to take at least two of the following courses.

A graduate degree in applied math OR a career in industry:

- MATH 4430 - Ordinary Differential Equations
- MATH 4450 - Complex Variables

A graduate degree in applied science:

- MATH 4130 - Linear Algebra I
- MATH 4320 - Modern Analysis II

A career in industry:

- MATH 3670 - Introduction to Scientific Computation
- MATH 4420 - Optimization
- MATH 4480 - Mathematical Modeling
- MATH 4670 - Scientific Computation I
- MATH 4850 - Stochastic Modeling

## Statistics

- MATH 4040 - Senior Math Seminar
- MATH 4810 - Mathematical Statistics I
- MATH 4820 - Mathematical Statistics II
- MATH 4850 - Stochastic Modeling
- Complete 6 additional credit hours of elected Mathematics courses numbered 4000 or higher.

## 4000+ level Course Recommendations

Students interested in pursuing a graduate degree in statistics are advised to take the following courses.

- MATH 4130 - Linear Algebra I
- MATH 4310 - Modern Analysis I
- MATH 4320 - Modern Analysis II

## Secondary Teaching

- MATH 3210 - Introduction to Geometry
- MATH 3480 - Functions and Modeling

Complete 9 credit hours of elected Mathematics courses numbered 4000 or higher, including at least one of the following.

- MATH 4140 - Modern Algebra I
- MATH 4310 - Modern Analysis I

Complete the courses required for the UCCSTeach program.

- UTED 1010 - Step I: Inquiry Approaches to Teaching
- UTED 1020 - Step II: Inquiry-Based Lesson Design
- UTED 2010 - Knowing and Learning in Mathematics and Science
- UTED 3020 - Classroom Interactions
- UTED 4710 - Project-Based Instruction
- UTED 4720 - Reading in the Content Area
- UTED 4730 - Apprentice Teaching UCCS Teach and Seminar
- UTLS 3030 - Perspectives on Science and Math
- PSY 1000 - General Psychology

Complete one of the following.

- PHIL 1000 - Introduction to Philosophy
- PHIL 1020 - Introduction to Ethics
- PHIL 1120 - Critical Thinking

## Flexible

- MATH 4040- Senior Math Seminar

Complete 15 additional credit hours of elected Mathematics courses numbered 4000 or higher, including at least one of the following.

- MATH 4130- Linear Algebra I
- MATH 4140- Modern Algebra I
- MATH 4310- Modern Analysis I

The UCCS Mathematics Department offers a special track which leads to departmental honors upon graduation, to qualified students pursuing a BS in Mathematics. More info...