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DOWNLOADS FOR ALL COURSES
92.403-503 Mathematical Analysis
Homework Problems
Syllabus
What is This?
Barrow’s Theorem
Landau’s Logarithm
Converging Concepts of Series
92.523 Linear Algebra
Syllabus
Motivating Matrix Operations
Homework Problems
Matrix Games and Optimization
More Applications of Matrices
92.530 Applied Mathematics I
Homework Problem Assignments
An Extra-credit Problem on Fuel Consumption
Answers to Homework Problems:
Chapter One
Chapters Two and Three
Chapter Four
Chapter Seven
Chapter Eight
Chapter Twelve
Chapter Fifteen
Syllabus
Setting Up First-Order Differential Equations from Word Problems
Qualitative Solution Sketching for First-order Differential Equations
Traffic Flow Theory
Selected Topics in Applied Mathematics
Richardson’s Method
**For the benefit of students who do not yet have the textbook, here are the homework problems that have been assigned. These files were created by Richard Kaufman, a student in this course in a previous year. If you already have the textbook, you do not need to view these files.**
Homework problems #1
Homework problems #2
Homework problems #3
Homework problems #4
Homework problems #5
Homework problems #6
Homework problems #7
92.531 Applied Mathematics II
Syllabus
Homework Problems
Answers to Homework Problems:
Chapter 5
Chapter 6
Chapter 13
Chapter 16
Chapter 9
Chapter 11
Selected Topics in Applied Mathematics
Notes on the Calculus of Variations
92.448-548 Math of Signal Processing
Syllabus
Notes on Singular-Value Decomposition
How the FFT Gained Acceptance (by James Cooley)
Notes on Random Processes
Text for the course: "Mathematics of Signal Processing: A First Course"
92.549 Mathematics of Tomography
The EMML and SMART Algorithms
Syllabus
Text for the course: "Signal Processing for Medical Imaging"
A unified approach for inversion problems in intensity-modulated radiation therapy (by Censor, Bortfeld, Martin and Trofimov, Phys. Med. Biol., 2006)
The multiple-sets split feasibility problem and its applications for inverse problems (by Censor, Elfving, Kopf and Bortfeld, Inverse Problems, 2005)
SIAM article on intensity-modulated radiation therapy
Optimization in Intensity Modulated Radiation Therapy (by Lee and Deasy, SIAG/OPT Views-and-News, Oct. 2006)
92.564 Applied Linear Algebra
Course description
Text for course: “Applied and Computational Linear Algebra: A First Course. ”
“The multiplicative algebraic reconstruction technique solves the geometric programming problem” (preprint)
92.572 Optimization
Course description
Text for course: “A First Course in Optimization”
“The multiplicative algebraic reconstruction technique solves the geometric programming problem” (preprint)
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