Department of Applied Mathematics at the University of Colorado at Boulder
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Sample Curriculum

SAMPLE CURRICULUM (Emphasis in Probability and Statistics)
Junior Year
   • In general, the student should take at least four applied mathematics courses at the 3000 level or higher.
   • Fall semester: APPM 4350 (Methods in Applied Mathematics I), APPM 4440 or MATH 3001
   • Spring semester: APPM 3570 (Applied Probability) and APPM 4360 (Methods in Applied Mathematics II)

Senior Year
   • The student should take at least six courses at the 3000 level or higher. At least two, and preferably four, of these courses should    be at the 5000 level.
   • Fall semester: APPM 4650 (Intermediate Numerical Analysis I), APPM 5560 (Markov Processes), APPM 5570 (Statistical Methods)
   • Spring semester: APPM 4660 (Intermediate Numerical Analysis II), APPM 5520 (Mathematical Statistics), APPM 5580 (Statistical      Methods for Data Analysis).

Fifth Year
   • The student should take at least four graduate level (5000 or higher) applied mathematics courses together with an approved      graduate-level, out-of-department sequence.
   • Fall semester: APPM 5600 (Numerical Analysis I), APPM 5xxx, TLEN 5310 (Telecommunication Systems) or other out-of-      department sequence.
   • Spring semester: APPM 5610 (Numerical Analysis II), APPM 5540 (Applied Time Series Analysis), TLEN 5400 (Traffic and Queueing    Theory) or other out-of-department sequence.

SAMPLE CURRICULUM (Emphasis in Numerics and Modeling)
Junior Year
   • In general, the student should take at least four applied mathematics courses at the 3000 level or higher.
   • Fall semester: APPM 4650 (Intermediate Numerical Analysis I), APPM 4350 (Methods in Applied Mathematics I)
   • Spring semester: APPM 4660 (Intermediate Numerical Analysis II), APPM 4360 (Methods in Applied Mathematics II)

Senior Year
   • The student should take at least five courses at the 3000 level or higher. At least two, and preferably four, of these courses      should be at the 5000 level.
   • Fall semester: APPM 5600 (Numerical Analysis I), APPM 4440 or MATH 3001, APPM 5380 (Modeling in Applied Mathematics)
   • Spring semester: APPM 5610 (Numerical Analysis II), APPM 5460 (Methods of Applied Mathematics: Dynamical Systems).

Fifth Year
   • The student should take at least four graduate level (5000 or higher) applied mathematics courses together with an approved     graduate-level, out-of-department sequence.
   • Fall semester: APPM 5470 (Methods of Applied Mathematics: PDEs), APPM 6610 (Numerical Computation), CSCI 6676 (Numerical    Methods for Unconstrained Optimization) or other 5xxx-level, out-of-department sequence.
   • Spring semester: APPM 5480 (Methods of Applied Mathematics: Approximation Methods), APPM 5xxx (special topics course),      CSCI 6686 (Numerical Methods for Constrained Optimization) or 5xxx-level course (out-of-department sequence or other special       topics course).

Note
   • These assume that APPM 1350 (Calculus I), APPM 1360 (Calculus II), APPM 2350 (Calculus III), APPM 2360 (Differential      Equations) and APPM 3310 (Matrix Methods) are taken in the freshman and   sophomore years.
   • These are sample curriculum only. There are many other possibilities for completing the BS/MS requirements in Applied      Mathematics.