The Department of Applied Mathematics offers two minors, one in applied math and the other in statistics.  

Minor in Applied Math

The minor in Applied Mathematics was developed to provide in-depth training in mathematical techniques and computational methods well beyond the training usually received by science majors. The minor in Applied Mathematics currently offers three tracks: General Emphasis, Scientific Computing and Mathematical Software, or Probability and Statistics. The goals of each track are to introduce students to more advanced mathematical techniques and problem-solving strategies. Such skills are becoming increasingly important for students who expect to participate in areas requiring analysis or modeling of real world situations. 

Minor in Statistics

The minor in Statistics was developed to provide in-depth training in statistical methods and techniques well beyond the training usually received by science and engineering majors. The ability to understand, visualize, and analyze data is becoming an increasingly important skill in many disparate fields. This minor offers undergraduate students from any major the opportunity to develop their statistical knowledge.

 

Mathematics is applied to almost every discipline of science, technology, and industry. New areas of application are discovered constantly, and older techniques applied to new and emerging fields. Industry relies on the application of mathematics and computation for the design and optimization of everything from aircraft and automobiles to communication systems and supply chains. 

Innovations in applied mathematics have become essential tools in the biological sciences, information technology, finance and investment, and computer-generated special effects. Employees with applied mathematics training are sought by state and federal government, the military, financial services, software publishers, and insurance companies. Academic fields as diverse as ecology and evolutionary biology, financial management, neuroscience, astronomy, and computer animation rely on applied mathematical and computational modeling techniques.

Companies, organizations, and research institutions that seek employees with applied mathematics skills and knowledge include:

  • Boeing
  • Ford Motor Co.
  • GlaxoSmithKline
  • Kodak
  • Verizon
  • Adobe
  • IBM
  • RAND
  • Citibank
  • Prudential
  • Baxter Healthcare
  • Exxon
  • Springer Publishing
  • NASA
  • NSA
  • Sandia National Laboratories

Any employer with an interest in bioinformatics, data mining, materials science, computer animation, digital imaging, finance and economics, ecology, epidemiology, environmental issues, or climatology will seek out students with an applied mathematics background.

As a smaller department, Applied Mathematics can provide nearly every student who wishes to work on research directly with faculty that opportunity.

Every year, the Department of Applied Mathematics participates in the Consortium for Mathematics and Its Applications's "Mathematical Contest in Modeling". This contest gives thousands of students around the world an opportunity to create a model of a real world problem on their own. Real experience that can be applied to real careers. The Department of Applied Mathematics at CU Boulder have been award winners in this contest for nearly15 years.

Prerequisites for the Applied Math minor are two semesters of calculus and computing experience such as provided by CSCI 1300 or GEEN 1300.

Residency

A minimum of 20 credits at the 2000-level and above is required. At least three applied mathematics courses, two of which must be at the 3000-level or above, need to be taken on the Boulder campus. No more than nine credit hours may be applied from transfer work; of those nine, no more than six may be 3000-level or above.

Minimum Grades

A cumulative GPA of 2.00 or better is required in the courses that are used to satisfy the requirements for this minor. Each individual course that is counted towards these degree requirements must be passed with a grade of C- or better.

Course Requirements

Required Courses and Semester Credit Hours 

  • APPM 2350 or MATH 2400 Calculus III – 4
  • APPM 2360 Differential Equations with Linear Algebra – 4        
  • APPM 3310 Matrix Methods and Applications – 3        

And one of the following areas of emphasis:

General Emphasis:
Choose two of the following three courses:

  • APPM 4650 Intermediate Numerical Analysis I – 3        
  • APPM 4350 Fourier Series and Boundary Value Problems – 3        
  • APPM 4360 Complex Variables and Applications – 3        
  • and one other 3-credit upper division Applied Math course at the 3000 or 4000 level

Scientific Computation Emphasis:

  • APPM 3050* Scientific Computing with MATLAB – 3        
  • APPM 4650/4660 Intermediate Numerical Analysis I & II – 6        

*APPM 3050 is not appropriate for junior or senior Aerospace majors. These students should substitute another upper division Applied Math course.

Probability and Statistics Emphasis:

  • APPM 3570 Applied Probability – 3        

And one of the following sequences:

  • APPM 4570/4580 Applied Statistics/Statistics with Software (Applied Focus) – 6        
  • APPM 4560/4520 Markov Chains/Mathematical Statistics (Theoretical Focus) – 6        

Residency

minimum of 19 credits at the 2000-level and above is required. At least three applied mathematics courses, two of which must be at the 3000-level or above, need to be taken on the Boulder campus. No more than nine credit hours may be applied from transfer work; of those nine, no more than six may be 3000-level or above.

Minimum Grades

A cumulative GPA of 2.00 or better is required in the courses that are used to satisfy the requirements for this minor. Each individual course that is counted towards these degree requirements must be passed with a grade of C- or better.

Course Requirements

APPM 23501 or MATH 24001

4 cr.

Calculus III

APPM 3310

3 cr.

Matrix Methods and Applications

APPM 3570

3 cr.

Applied Probability

APPM 4520

3 cr.

Mathematical Statistics

APPM 4590

3 cr.

Statistical Modeling

And ONE of the following courses:

APPM 4560

3 cr.

Markov Chains

APPM 4540

3 cr.

Time Series

APPM 45802

3 cr.

Statistical Methods/Data

Please note that APPM 1350, Calculus 1 for Engineers, and APPM 1360, Calculus 2 for Engineers, or the equivalent, are prerequisites for APPM 2350. MATH 1300 and MATH 2300, or the equivalent, are the prerequisites for MATH 2400. Both Calculus 1 and Calculus 2 must be passed with a minimum grade of C-. Neither course is counted in the minimum cumulative GPA of 2.00 required for the minor.

2 APPM 4580 has a prerequisite of APPM 4570 (Statistical Methods)

3 A student cannot earn a minor in Statistics and a minor in Applied Mathematics with the probability and statistics emphasis.