Lecture Notes

All available lecture notes are provided below:

Lecture note files.

SES #	SUBJECTS
1	Linear algebra 1 (PDF - 1.7MB)
2	Linear algebra 2 (PDF - 1.4MB)
3	Linear algebra 3 (PDF - 1.3MB)
4	Linear algebra 4 (PDF - 1.1MB)
5	Linear algebra 5 (PDF - 1.6MB)
6	Linear algebra 6 (PDF - 1.6MB)
7	Systems of nonlinear equations 1 (PDF - 1.6MB)
8	Systems of nonlinear equations 2 (PDF - 1.5MB)
9	Summary and review on linear algebra and systems of nonlinear equations (PDF - 1.3MB)
10	Optimization 1 (PDF)
11	Optimization 2 (PDF - 1.5MB)
12	Optimization 3 (PDF - 1.7MB)
13	ODE-IVP and numerical integration 1 (PDF - 1.7MB)
14	ODE-IVP and numerical integration 2
15	ODE-IVP and numerical integration 3
16	ODE-IVP and numerical integration 4 (PDF - 1.1MB)
17	Differential-algebraic equations 1
18	Differential-algebraic equations 2 (PDF - 1.8MB )
19	Differential-algebraic equations 3 (PDF - 1.4MB)
20	Boundary value problems 1 (PDF)
21	Boundary value problems 2 (PDF)
22	Partial differential equations 1 (PDF)
23	Partial differential equations 2
24	Partial differential equations 3
25	Summary and review on IVP, differential-algebraic equations, and boundary value (PDF - 1.7MB)
26	Probability theory 1 (PDF)
27	Probability theory 2
28	Models vs. data 1 (PDF)
29	Models vs. data 2 (PDF) (Courtesy of Dr. Joseph K. Scott. Used with permission.)
30	Models vs. data 3 (PDF)
31	Operator splitting (PDF)
32	Monte Carlo methods 1 (PDF)
33	Monte Carlo methods 2 (PDF)
34	Stochastic chemical kinetics 1 (PDF) (Courtesy of Dr. Joseph K. Scott. Used with permission.)
35	Stochastic chemical kinetics 2 (PDF)
36	Last day of class, review for final exam