Math

## Mathematics, BS |

The Department of Mathematics offers a curriculum leading to the degree of Bachelor of Science in Mathematics. The Bachelor of Science Degree in Mathematics is well-suited for those students aiming toward a career in applied mathematics or planning for graduate school in applied mathematics. This program is also appropriate for those mathematics students who have not yet decided between a teaching career or a career in industry.

Modern industrial and scientific enterprises are so dependent on advanced mathematical concepts that applied mathematicians are needed today by almost all concerns that are engaged in such work. The undergraduate curriculum is designed to give training in mathematics and in engineering and science. The use of numerical methods and computers is included.

Normally, a graduate of mathematics who accepts a position in the private or public sector will be working as part of a team to solve applied problems outside of mathematics. Seldom is this problem purely one in mathematics. Because of this, an applied mathematician needs a working knowledge of another discipline, and so each graduate of the BS in Mathematics program must complete a secondary area requirement. This secondary emphasis area is in a specific engineering, computer science, or applied science department. The choice of a secondary area must be approved by the student’s faculty advisor.

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.

- 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 proof
- 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.

- 43 semester hours in Mathematics
- 18 semester hours in Basic Science and Technology
- 18 semester hours in Secondary Area Requirements, of which 9 hours must be 3000 level or higher
- A minimum 2.0 on each required mathematics course
- A CU minimum GPA of 2.0
- An Exit Interview with the Mathematics department is required prior to graduation.

All Math majors are required to meet with a faculty advisor in the Math department during their first year as a Math major. Math Students should check the official UCCS catalog and the Student Success Advising Guides for additional information regarding the degree requirements.

Math BS students must select PHIL 3420 - Symbolic Logic I, as part of their LAS Humanities general education area requirements.

Additional three credit hours (outside of PES department) are needed.

Mathematics BS students must select from the LAS Social Sciences area general education courses. See the appropriate Student Success Advising Guide for a list of approved courses.

- MATH 1350 - Calculus I (4 ch)
- MATH 1360 - Calculus II (4 ch)
- MATH 2150 - Discrete Math (3 ch)
- MATH 2350 - Calculus III (4 ch)

- MATH 2650 - Introduction to Computational Math (recommended 1 ch)
- MATH 3100 - Statistics for the Sciences

or - MATH 3810 - Introduction to Probability and Statistics (3 ch)
- MATH 3130 - Introduction to Linear Algebra (3 ch)
- MATH 3400 - Introduction to Differential Equations (3 ch)

- MATH 3410 - Introduction to Analysis (recommended 3 ch)

Note: MATH 3410 (Spring only) is strongly recommended for MATH 4310

- MATH 4040 - Senior Seminar (1 ch)

- MATH 4310 - Modern Analysis I (3 ch)
- MATH 4480 - Mathematical Modeling (3 ch)

or - MATH 4850 - Stochastic Modeling Note: MATH 4480 and MATH 4850 require MATH 2650 or adequate experience with computer programming.

Two courses from:

- MATH 4420 - Optimization
- MATH 4430 - Ordinary Differential Equations
- MATH 4450 - Complex Variables
- MATH 4470 - Methods of Applied Mathematics
- MATH 4650 - Numerical Analysis

**OR**

Two courses from:

- MATH 4810 - Mathematical Statistics I

or - MATH 4820 - Mathematical Statistics II
- MATH 4830 - Linear Statistical Models
- MATH 4850 - Stochastic Modeling

- CS 1150 - Principles of Computer Science
- CS 1450 - Data Structures and Algorithms

or - CS 2060 - Programming with C
- MATH 4650 - Numerical Analysis

or - CS 4600 - Numerical Computing
- PES 1110 - General Physics I - Calculus Based
- PES 1120 - General Physics II
- PES 1160 - Advanced Physics Lab I

Note: Taking PES 1110, 1120 and 1160 will automatically satisfy 9 hours of the LAS Natural Science Area Requirement.

Secondary area requirements may be done in any one of the following ways:

*Departmental Course Work:* Select classes from one of the following departments: Biology, Chemistry, Computer Science, Economics, Electrical and Computer Engineering, Mechanical and Aerospace Engineering, Physics, or Psychology. Courses used for general education requirements may be counted towards this requirement.

*Interdisciplinary Secondary Areas:* Complete one of the interdisciplinary secondary area programs that have been approved by the department. At present, there are two such programs: System Science and Engineering and Actuarial Science (see below).

*Personalized Secondary Area Program:* Design a personalized secondary area program that may include courses from departments other than those listed in above, and/or may be interdisciplinary in nature. Such a program MUST have the approval of the faculty advisor from the Mathematics Department.

Systems science is an approach that views an entire system of components as an entity rather than simply an assembly of individual parts; each component is designed to fit properly with the other components rather than to function by itself. The engineering and mathematics of systems is a rapidly developing field. It is one of the most modern segments of applied mathematics, as well as an engineering discipline. It is concerned with the identification, modeling, analysis, design, and control of systems that are potentially as large and complex as the U.S. economy or as precise and vital as a space voyage. Its interests run from fundamental theoretical questions to the implementation of operational systems. In its mathematical aspects it draws on the most modern and advanced areas of mathematics. At the application end of the spectrum, the systems scientist is a scientist/engineer with a unique and indispensable viewpoint. For example, in the aerospace industry, the systems engineer devises the control and guidance laws, navigational systems, trajectory tracking, and estimating algorithms—indeed the total coordinated structure of complex aerospace undertakings.

Required courses for a Systems Science & Engineering Concentration:

Actuarial Science is a professionally oriented program combining business, economics, and mathematics, and is designed to prepare students to begin careers as actuaries. Actuaries are experts in risk management. Graduates of this program are prepared for the early professional actuary exams and have a solid base of preparation for further exams. See the Society of Actuaries Web page, www.soa.org, for additional information concerning these exams and a career in Actuarial Science.

To provide a solid foundation for this career and prepare for these three exams, the student should complete the following program:

- ACCT 2010 - Introduction to Financial Accounting
- BLAW 2000 - Business Law
- FNCE 3050 - Basic Finance
- FNCE 4200 - Investment and Portfolio Management

The UCCS mathematics department offers a special honors track to qualified math undergraduate students who are already pursuing a BA or BS in Math degree at UCCS. More info ....

© University of Colorado Colorado Springs

1420 Austin Bluffs Pkwy, Colorado Springs, CO USA 80918

719-255-8227 (UCCS), 800-990-8227

1420 Austin Bluffs Pkwy, Colorado Springs, CO USA 80918

719-255-8227 (UCCS), 800-990-8227