Modeling in Applied Mathematics

News.

• 10/04/12: APPM 4390/5390 Modeling in Math Biology is scheduled for Spring 2013 - see course description. 

Important Information.

• Course syllabus

Textbook.

There is no required text book. However, much of the materials described in the class can be found in a very preliminary manuscript under development: "Modeling in Applied Mathematics" by Bengt Fornberg and Ben Herbst (Univ. of Stellenbosch, South Africa).

At present, the manuscript is not only incomplete, but also excessively long - so please don't print it out in its present form.

Notes.

• Matlab files logo.m and scan.m for creating simulated tomographic scan data
• Tomography test problem; handout on the codes logo.m and scan.m      
• Summary of number of solutions for a linear system
• SVD factorization of matrix arising in LS image reconstruction; survey of SVD factorization
• SVD usage for very simplified tomography test problem   
• Simple example of Conjugate Gradients
• Back projection ,  Back projection filters
• Fourier series and transforms , FFT algorithm  
• Example of Fourier reconstruction
• Concept for a tomographic space telescope
• Rogue waves
• Matlab files circular_current.m and c_rhs.m for for the circular current test problem
• Interesting link: Wall Street Journal 2009: Note top rated job!

Course Grading.

A possible grading strategy could be as follows:

Assignment 1	15 points
Assignment 2 (team)	15 points
Final Project
Project plan / consistency with it	10 points
Originality of project topic	10 points
Own new work vs. old/from literature	10 points
Programming	10 points
Overall effort	10 points
Presentation - technical clarity	10 points
Presentation - 'style', enthusiasm	10 points

Policies.

Some official CU policy information:

• Honor Code
• Disability services
• Accommodations for religious observances
• Expectations of classroom behavior
• Discrimination and Harassment Policy