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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 (Fall 2007)
Syllabus
Motivating Matrix Operations
Homework Problems
92.530 Applied Mathematics I (Fall 2007)
Homework Problems
Answers to Homework Problems:
Chapter One
Chapters Two and Three
Chapter Four
Chapter Seven
Chapter Eight
Chapter Twelve
Chapter Fifteen
Syllabus
Some Interesting Problems in Applied Mathematics
Some Interesting Problems in Applied Mathematics: Answers
Setting Up First-Order Differential Equations from Word Problems
Qualitative Solution Sketching for First-order Differential Equations
Traffic Flow Theory
Notes of the Laplace Transform and the Ozone Layer
Richardson’s Method
92.531 Applied Mathematics II (Spring 2008)
Syllabus
Homework Problems
Answers to Homework Problems:
Chapter 5
Chapter 6
Chapter 13
Chapter 16
Chapter 9
Chapter 11
Kepler's Laws of Planetary Motion
A Brief History of Electromagnetism
A Letter to Maxwell
Notes on Vector Calculus
Notes on the Calculus of Variations
Notes on Bessel’s Equation and the Gamma Function
Notes on Sturm-Liouville Equations
Inner Products and Orthogonal Functions
92.448-548 Math of Signal Processing (Spring 2008)
Syllabus
Notes on Singular-Value Decomposition
How the FFT Gained Acceptance (by James Cooley)
Notes on Random Processes
Signal Processing: A Mathematical Approach (partly revised text)
92.549 Mathematics of Tomography
The EMML and SMART Algorithms
Syllabus
Text: 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
92.572 Optimization (Fall 2007)
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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