|
Day |
Topics |
Read |
Homework |
|
05/31 |
Review of Calculus Introduction to ODEs |
Section 2.2,2.4,2.5 | Sec1.3,#2,8,17,21 Sec2.1,#2,6,7,10,13,14 Solution and Handout #1 |
|
06/02 |
Solution to Separable Equations Linear Equations |
Section 2.4,2.7,2.8 | Sec 2.2 #3,10,15,22 |
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06/07 |
Linear Equations Existence and Uniqueness of ODEs |
Section 4.1,4.2,4.3 | Sec 2.4, #2,7,13,37 Sec 2.7, #1,2,6,9,26,30 |
|
06/09 |
Second-order Equations and Systems | Section 4.3,4.5 | Sec 4.1 #4,7,9,12,13 Sec 4.2 #2,4,6 |
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06/14 |
Linear, Homogeneous Equations with Constant
Coefficients Inhomogeneous Equations |
Section 4.6 | Sec 4.3 #2,10,18,21,22,24 |
|
06/16 |
Variation of Parameters
Review for the Exam #1 |
Section 7.1,7.2 | Sec 4.5 #2,6,17,19,25
Sec 4.6 #3,5 |
|
06/21 |
Vectors and Matrices Geometry of Systems of Linear Equations |
Section 7.3,7.4 | Sec 7.1 #34,36,42,44,51,53 and the extra problem
assigned in class Sec 7.2 #1,3,6, Solution |
|
06/23 |
Solving Systems of Equations Properties of Solution Sets |
Section 7.5,7.6 | Sec 7.3 #14,16,17,23,24 |
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06/28 |
Subspaces | Section 8.1,8.2 | Sec 7.4 # 4,8,10,17,20,24,29 Sec 7.5 #2,6,13,29 |
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06/30 |
Determinants Introduction to Systems Qualitative Analysis |
Section 8.4 | Sec 7.6 #7,12,26 Sec 8.1 #7,12,20 Sec 8.3 #2,7 |
|
07/05 |
Linear Systems Review for the Exam #2 |
Section 9.1,9.2 | Sec 8.4 #2,13,16,29,30 |
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07/07 |
Overview of the Technique Planar Systems |
Section 9.4,9.5 | Sec 9.1 #10,12,21,23 Sec 9.2 #4,23,24,37,38,44 |
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07/12 |
Higher Dimensional Systems Exponential of a Matrix |
Section 9.7,9.8 | Sec 9.4 #7,21,27,40,48 Sec 9.5 #17,18,34 |
|
07/14 |
Higher Order Linear Equations Inhomogeneous Systems |
Section 10.1 | Sec 9.7 #10,15,25,28,31,40 |
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07/19 |
Linearization of Nonlinear Systems | Sec 9.8 #1,7 Sec 10.1 #2,4 |
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|
07/21 |
Review for the final exam | Final Exam and its solution |