Numerical Computation for Mechanical Engineers

Lecture Notes

LEC #	TOPICS	NOTES
Unit I: (Numerical) Calculus
1	Numerical Calculus Part 1	Lecture 1 Notes (PDF - 1.2MB) Interpolation Cheat Sheet (PDF)
2	Numerical Calculus Part 2	Lecture 2 Notes (PDF)
3	Numerical Calculus Part 3	Lecture 3 Notes (PDF)
Unit II: Statistical Estimation; Monte Carlo Methods
4	Probability and Statistics Part 1	Lecture 4 Notes (PDF - 1.1MB)
5	Probability and Statistics Part 2	Lecture 5 Notes (PDF - 1.4MB) Lecture 5 Notes–Annotated (PDF - 1.4MB)
6	Probability and Statistics Part 3	Lecture 6 Notes (PDF)
7	Probability and Statistics Part 4	Lecture 7 Notes (PDF - 1.2MB)
8	Probability and Statistics Part 5	Lecture 8 Notes (PDF)
Unit III: Linear Algebra 2: Matrices and Least Squares; Regression
9	Linear Algebra 1 Part 1	Lecture 9 Notes (PDF - 1.2MB)
10	Linear Algebra 1 Part 2	Lecture 10 Notes (PDF - 1.4MB)
11	Linear Algebra 1 Part 3	Lecture 11 Notes (PDF)
12	Special Topic: MATLAB Programming and Arduino Part 1	No notes for this lecture.
13	Special Topic: MATLAB Programming and Arduino Part 2	No notes for this lecture.
14	Linear Algebra 1 Coda	Lecture 14 Notes (PDF)
Unit IV: Ordinary Differential Equations
15	Ordinary Differential Equations Part 1	Lecture 15 Notes (PDF)
16	Ordinary Differential Equations Part 2	Lecture 16 Notes (PDF)
17	Ordinary Differential Equations Part 3	Lecture 17 Notes (PDF - 1.4MB)
Unit V: Linear Algebra 2: Linear Systems
18	Linear Algebra 2 Part 1	Lecture 18 Notes (PDF - 1.1MB)
19	Linear Algebra 2 Part 2	Lecture 19 Notes (PDF)
20	Linear Algebra 2 Part 3	Lecture 20 Notes (PDF - 1.3MB)
21	Linear Algebra 2 Part 4	No notes for this lecture.
Unit VI: Nonlinear Problems
22	Nonlinear Problems Part 1	Lecture 22 Notes (PDF - 1.2MB)
23	Nonlinear Problems Part 2	Lecture 23 Notes (PDF)
24	Nonlinear Problems Part 3	No notes for this lecture.
Additional Topics
25	Additional Topics	No notes for this lecture.
26	Additional Topics	Lecture 26 Notes (PDF - 1.5MB)