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Mathematical Methods for Engineers (10.539/24.539)
Detailed Lecture Notes

The primary text for this course is a series of Lecture Notes that I have developed over several years while teaching this course. The notes are available from the bookstore in hardcopy booklet form, and it is assumed that each student has a copy of this study material. However, just in case you don't have your hardcopy notes handy, I have placed links to an electronic version of the notes on this page. Each chapter or section is contained in a separate pdf file as listed below:

Chapter	Topic	pdf File
1	First Order Differential Equations	math_s1
2	Linear Differential Equations	math_s2
3	Overview of Linear algebra	math_s3
4	General Initial Value Problems (IVPs)	math_s4
5	General Boundary Value Problems (BVPs)	math_s5
6	Numerical Solution of Linear Algebraic Equations	math_s6
7	Power Series Solution Method	math_s7
8	Special Functions and Orthogonality	math_s8
9	Sturm-Liouville Theory and Generalized Fourier Series	math_s9
10	Analytical Solution of PDEs	math_s10
11	Numerical Solution of PDEs via the FD Method	math_s11
Appendix I	Introduction to FEMLAB (solution of ODEs and PDEs)	math_a1

Last updated by Prof. John R. White (Sept. 2005)

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