Bachelor of Science

Mathematics

Bachelor of Arts - Mathematics

The Bachelor of Arts Degree in Mathematics is a traditional degree in mathematics. Most students choose this degree in order to prepare themselves for a career as a mathematics teacher or to prepare them for a graduate program in pure mathematics. The Bachelor of Arts students follow the general education requirements of the College of Letters, Arts and Sciences.

A Bachelor of Arts degree in Mathematics requires completion of at least 120 hours, a minimum 2.0 on each required mathematics course and a minimum CU cumulative GPA of 2.0. In addition, an Exit Interview with the Mathematics department is required prior to graduation. The degree requires the following courses:

Mathematics (43 semester hours)

MATH 135, 136, 235.Calculus I, II, III      12
MATH 215. Discrete Mathematics      3
MATH 310 or Math 381. Statistics for the Sciences or Intro to Probability and Statistics      3
MATH 313. Introduction to Linear Algebra      3
MATH 340. Intro to Differential Equations      3
MATH 414. Modern Algebra 1      3
MATH 431. Modern Analysis I      3
MATH 448. Mathematical Modeling      3
MATH 495. Senior Seminar      1
Math 303 or above electives      9
OR Mathematics Secondary Teaching Option
(43 semester hours)

Students should contact an advisor in the College of Education as soon as possible to construct a schedule of their required education courses.

MATH 135, 136, 235.Calculus I, II, III      12
MATH 215 Discrete Math 3
MATH 310 or Math 381. Statistics for the Sciences or Intro to Probability and Statistics      3
MATH 311 Number Theory      3
MATH 313 Intro to Linear Algebra      3
MATH 340 Intro to Differential Equations      3
MATH 421 Higher Geometry      3
MATH 431 Modern Analysis I      3
MATH 448 Mathematical Modeling      3
Mathematics elective      6
MATH Capstone Course      1
Humanities Area Requirement (12 semester hours)
Core Humanities (HUM prefix, numbered 300 and above)      3
PHIL 344 Symbolic Logic or PHIL 443 Logical Theory      3
Remaining hours from approved LAS General Humanities list 6

(Teachers need to take PHIL 100 Intro to Philosophy or PHIL 102 Ethics as part of the 6 hours)

Natural Science Area Requirement (12 semester hours)
From approved LAS Natural Science list 12

Teachers need to take one of the following:

PES 111, 115, 112, 215 General Physics I and II and Labs, plus 2 hours from the approved LAS Natural Science list, or
12 hours from the approved LAS Natural Science list to include one lab

Social Science Area Requirement (12 semester hours)
From approved LAS Social Science list 12

Teachers need to take PSY 100. General Psychology as part of the 12 hours.

Composition Requirement (6 semester hours)

ENGL 131 English Composition I 3
ENGL 141 English Composition II 3

Free Electives ( minimum 35 semester hours to complete 120 hour requirement)

Students should take a number of courses in computer science to prepare them for the various career options in mathematics. Foreign languages are encouraged for students interested in research. Teachers will fill up all free electives with education courses (students should contact the College of Education for required education courses)

Bachelor of Science - Mathematics

The Bachelor of Science Degree in Mathematics is well-suited for those students aiming towards a career in applied mathematics or planning upon attending 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. The B.S. students follow the general education requirements of the College of Engineering and Applied Science.

The Department of Mathematics offers a curriculum leading to the degree of Bachelor of Science in Mathematics. The student must have a secondary emphasis area in a specific engineering, computer science, or applied department. The choice of a secondary area must be approved by the students faculty advisor.

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.

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.

Degree Requirements

A Bachelor of Science degree in Mathematics requires completion of at least 120 hours, a minimum 2.0 on each required mathematics course and a CU minimum GPA of 2.0. In addition, an Exit Interview with the Mathematics department is required prior to graduation. The degree requires the following courses:

Mathematics (43 semester hours)

MATH 135, 136, 235. Calculus I, II, III      12
MATH 215. Discrete Mathematics       3
MATH 310 or Math 381. Statistics for the Sciences or Intro to Probability and Statistics      3
MATH 313. Introduction to Linear Algebra      3
MATH 340. Introduction to Differential Equations      3
MATH 431. Modern Analysis I      3
MATH 448. Mathematical Modeling      3
MATH 495 Senior Seminar      1

One of the following restricted mathematics elective sequences 6

(i) Analysis: (a) MATH 445. Complex Variables and (b) MATH 443. Ordinary Differential Equations, or MATH 447. Partial Differential Equations,
(ii) Optimization and Numerical Analysis: (a) MATH 442. Optimization and (b) MATH 465. Numerical Analysis,
(iii) Statistics: two of from MATH 482. Introduction to Mathematical Statistics, MATH 483. Linear Statistical Models, MATH 485. Stochastic Modeling

Mathematics electives (numbered 310 or higher)      6
Basic Science and Technology (22 semester hours)
CS 115. Prin. of Computer Science*       3
CS 145. Data Structures & Algorithm       3
CS 460 or MATH 465 Numerical Computing or Numerical Analysis      3
ECE 1010. Problem Solving in Engineering*      2
ECE 1011. Computer Based Modeling*      2
PES 111. General Physics I       4
PES 112. General Physics II       4
PES 115. General Physics Lab I     1

Humanities and Social Sciences (24 semester hours)
Engl. 131 or 141 Composition I or II      3
Comm 210 Platform Speech      3
Engl 307 or 309 Technical Writing      3
Additional social science-humanities electives       15

*At the time of publication, changes to the requirements for the B.S. Applied Math degree were under review by the Mathematics Department.

Secondary Area Requirement (18 semester hours)

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 B.S. in Mathematics program must complete a secondary area requirement. A secondary area requires 18 hours of which 9 hours must be 300 level or higher. This may be done in any one of the following ways:

1) Departmental Coursework

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.

2) 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).

3) Personalized Secondary Program

Design a personalized secondary area program that may include courses from departments other than those listed in (1) above, and/or may be interdisciplinary in nature. Such a program MUST have the approval of the faculty advisor from the Mathematics Department.

Technical Electives (13 semester hours)

Complete 13 hours of courses to broaden exposure to fields of science or engineering. Courses must be approved by the mathematic faculty advisor, of which 6 hours must be 300 level or higher courses.

Semester hours exceeding the required 18 in the secondary area may be applied to the technical elective requirement. Courses counted toward the basic science requirement do not apply, and at most 4 semester hours of computer languages may be used. A maximum of 8 semester hours of foreign languages may be applied to this requirement.

Concentrations and Minors

Concentration in System Science and Engineering

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.

Mathematics Requirement, complete 2 of the following 3 courses:

      MATH 442. Optimization
      MATH 448. Math Modeling
      MATH 485. Stochastic Modeling

Secondary Area Requirements

ECE 2210. Circuits 1
CE 213. Applied Mechanics
ECE 3510. Linear Systems Theory
ECE 4510. Feedback Controls
ECE 4530. Control System Lab
MAE 4506. Engineering Simulation or ECE. 4540 Digital Control
MAE 3401. Modeling & Simulation of Dynamic Systems

Concentration in Actuarial Science

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 first three professional actuary exams and have a solid base of preparation for further exams. These first three exams are: Exam 100-Calculus and Linear Algebra, Exam 110-Probability and Statistics, and Exam 135-Numerical Analysis. See the Society of Actuaries web page, http://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:

Mathematics Requirement

MATH 381. Introduction to Probability and Statistics
MATH 465. Numerical Analysis 1
MATH 482. Introduction to Mathematical Statistics
One of MATH 483. Linear Statistical Models, or MATH 485. Stochastic Modeling

Secondary Area Requirements

Economics
ECON 101. Introduction to Microeconomics
ECON 102. Introduction to Macroeconomics
ECON 301. Intermediate Microeconomic Theory
ECON 481. Introduction to Econometrics

Business
ACCT 201. Introduction to Financial Accounting
BUS 200. Business Law
FIN 334. Risk and Insurance Principles

Minor in Mathematics

A student wishing to complete a minor in mathematics must complete at least 24 hours of courses and every course in the minor must be completed with a grade of C or better. The student will be responsible for any prerequisites to required courses. The required courses for the minor are as follows:

MATH 135, 136, 235 12 hours

One from MATH 215, 311, 341, 350, 351, 414, 421, or 431 3 hours

At least 9 additional hours of math courses numbered above 303 9 hours

Minor in Statistics

A minor in statistics requires at least 21 hours of courses and every course must be completed with a grade of C or better. It is imperative that a student intending to minor in statistics plan her/his program and obtain the approval of a departmental advisor before the end of her/his sophomore year. Of these 21 hours, the following requirements must be met:

MATH 310 or its equivalent 3 hours

MATH 381 or its equivalent 3 hours

One of: MATH 482, 483,485, 487 3 hours

It is imperative that a student intending to minor in statistics plans her/his program and obtains the approval of a departmental advisor before the end of her/his sophomore year.

Certificate Programs

Industrial Mathematics Certificate Program

The College of Engineering and Applied Science offers a Certificate in Industrial Mathematics to qualified students. The program endeavors to prepare students for careers in the applications of Mathematics in Industry by emphasizing mathematical modeling, courses in traditional applied mathematics, and work on actual industrial problems with the cooperation of representatives from industry. The certificate is awarded at three levels. It is available for undergraduate students in both the colleges EAS and LAS and for graduate students in EAS. Please call or write the Department of Mathematics for more information.

Applications and Technology in Mathematics Education Certificate Program (CATME)

The College of Engineering and Applied Science offers a Certificate in Applications and Technology in Mathematics Education to qualified students. The purpose of the program is to train teachers (and potential teachers) in the use and methodology of applications and technology in the mathematics classroom. The program emphasizes courses that train the instructor on the use of graphing calculators, computer algebra and geometry systems, as well as the applications of mathematics that use those technologies. It is available to all registered students at CU-Colorado Springs. Please visit the Department of Mathematics website http://mathweb.uccs.edu/catme for more information.