The Department of Applied Mathematics in the College of Arts and Sciences offers a BS degree in applied mathematics through the College of Engineering and Applied Science. The BS degree is designed to prepare graduates for exciting and diverse professional careers, and for graduate study in a wide variety of disciplines. The department also offers a 5-year BS/MS, as well as an MS degree and a PhD degree through the Graduate School.
The objectives of the Department of Applied Mathematics at CU-Boulder are summarized below:
Courses at the undergraduate level provide training in a broad range of mathematical techniques and problem-solving strategies. These courses teach the concepts and methods central to applications of linear algebra, ordinary and partial differential equations, numerical analysis, probability and statistics, complex variables, and nonlinear dynamics. Since applied mathematicians often are involved in interdisciplinary work, the BS degree requires an in-depth knowledge of some area of science or engineering where mathematics is used. This knowledge prepares graduates to successfully communicate and cooperate with engineers and scientists. The BS degree also requires knowledge of a programming language and skill in using the computer.
The undergraduate degree in applied mathematics emphasizes knowledge and awareness of:
In addition, students completing a degree in applied mathematics acquire:
Course code for this program is APPM.
The department also offers a minor in applied mathematics that is available to all undergraduate students. A minor in applied mathematics indicates that a student has received in-depth training in mathematical techniques and computational methods well beyond the training usually received by science and engineering majors.
The BS degree in applied mathematics requires the satisfactory completion of a minimum of 128 credit hours as follows:
Some Recommended Options for Applied Math Majors
Recommended Courses and Semester Credit Hours
Advising Note: Students seeking to enroll in ASEN courses must register through an aerospace advisor.
Recommended courses (total of 25 credit hours):
Additional courses to bring the total number of credits to at least 24; at least two of these must be at the 3000 level. Possible choices include:
Advising Note: Students completing the computer science option should have a minor in computer science. Check with the computer science department.
Students interested in this option should consult with an advisor as several areas are available (computer engineering, electrical engineering, signals and systems, and electrical renewable energy systems). A minimum of 24 credit hours is required.
Recommended courses after first-year physics (22 or 23 credit hours):
Plus either of the following:
Note: Additional courses are required to bring the total number of physics credits to 24.
Advising Note: Students completing the physics option should have a minor in physics. Check with the physics department.
Recommended courses (total of 24 credit hours):
Recommended basic courses (total of 12 credit hours):
Students also take a minimum of two courses from any one of the following groups, plus additional CVEN or AREN courses to bring total to 24 credit hours:
Recommended basic courses (19 credit hours):
Some of the following courses should also be taken:
Plus at least two of the following courses to meet the 24 credit-hour requirement of the option:
The following concentration of selected courses from computer science, biology, and chemistry provide the foundation for work in mathematical biology, computational biology, and/or bioinformatics.
Required Courses and Semester Credit Hours
Advising Note: Students selecting this option are advised to take APPM 3570, 4520, 4540, and 4390 as part of their applied math course work. Other recommended courses include CSCI 3104 Algorithms and CSCI 3287 Database and Information Systems.
Other areas of academic focus are also possible. Check with the applied mathematics office or more information.
The concurrent BS/MS program in applied mathematics enables well-qualified and motivated students to experience graduate-level course work earlier in their education and to obtain an MS degree in a reduced time period. Applied math majors may apply for this program during their junior year. Minimum requirements for admission include completion of at least two APPM courses numbered 3000 or higher, an overall GPA of 3.400 or higher, a minimum GPA of 3.400 in APPM and MATH courses, and two letters of recommendation from APPM faculty. Students interested in this program are encouraged to consult with an applied mathematics faculty advisor early in their undergraduate career.
As an exceptional opportunity for talented students who are interested in analytical and computational methods related to civil engineering and general engineering science, the applied mathematics and civil engineering departments offer a streamlined track by which a student can earn a baccalaureate degree from both programs with a minimum of 15 extra credit hours. Consult faculty advisors in applied mathematics and civil engineering for information and admission.