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Section 11 & 16984
Jing Li
Office: Live Oak Hall (LO), Room 1303C
Phone: 818-677-7799
E-mail: jing.li(at)csun(dot)edu
Office hours: Tuesdays & Thursdays 3:30 pm - 4:30 pm or by
appointment (email)
December 11, 2014, Thursday 3:00 pm - 5:00 pm, Chaparral Hall Room 5119
Midterm Exam 1: (date to be annouced) in class.
Midterm Exam 2: (date to be annouced) in class.
Midterm Exam 3: (date to be annouced) in class.
Tuesdays & Thursdays 2:00 pm - 3:15 pm in CR (Chaparral Hall) 5119
A First Course in Differential Equations with modeling Applications (10th edition) by Dennis G. Zill.
I will post all assigments, solutions and additional material in this
space. You should therefore consult this spot frequently.
Course Syllabus
| Week | Date | Topics covered | Homework | Homework due date | Practice Problems | Additional Material |
|---|---|---|---|---|---|---|
| 1 | Aug 26 & 28 | Sec. 1.1: Definitions and Terminology Sec. 1.2: Initial-Value Problems Quiz 1 |
Exercises 1.1 (page
10): 5, 7, 13,
17, 21, 29, 31
Exercises 1.2 (page 17): 10, 17, 21, 26, 30, 31, 32, 37; |
(Exercises 1.1: due Sept 4)
(Exercises 1.2 due Sept 11) |
Exercises 1.1 (page
10): 3, 4, 6, 8, 9, 15, 16, 18, 19, 23, 30, 32, 33, 35
Exercises 1.2 (page 17):1, 3, 9, 18, 23, 25, 33, 34; Ch1 in Review (page 33): 33, 34; |
Integral
Review Problem Set
Solutions for Quiz 1 Statistics for Quiz 1 |
| 2 | Sept 2 & 4 |
Sec. 1.3: Differential Equations as Mathematical Models
Sec. 2.2: Separable Equations Sec. 2.3: Linear Equations |
Exercises 1.3
(page 28): 1,
3, 5, 7, 9, 11
Exercises 2.2 (page 51): 8, 12, 13, 24, 27, 46, 47 Exercises 2.3 (page 61): 4, 13, 17, 19, 33, 35, 38 |
(Exercises 1.3 due Sept 11)
(Exercises 2.2 due Sept 11) (Exercises 2.3 due Sept 18) |
Exercises 1.3 (page
28):2, 4, 6, 8, 10, 12;
Exercises 2.2 (page 51):9, 11, 14, 17, 18, 22, 23, 25, 28, 48, 49; Exercises 2.3 (page 61): 7-12, 14-16, 18, 20-24, 27-32, 34, 36, 37, 39, 40; |
|
| 3 | Sept 9 & 11 | Sec. 2.4: Exact Equations Sec. 2.5: Solutions by Substitutions |
Exercises 2.4
(page 69):4,
9, 11, 25, 27, 29, 31;
Exercises 2.5 (page 74): 7, 9, 11, 15, 19, 21, 23, 25, 29 |
(Exercises 2.4 due Sept 25)
(Exercises 2.5 due Sept 30) |
Exercises 2.4
(page 69): 5-8,
10, 12-24, 26, 28, 30, 32-39; Exercises 2.5 (page 74): 5, 8, 10, 12, 13, 16, 17, 18, 20, 22, 24, 26, 27, 28, 30; |
|
| 4 | Sept 16 & 18 |
Fundamental Theorems Sec. 2.1: Solution Curves Without a Solution Quiz 2 |
Exercises 2.1 (page 43): 19, 21, 25, 29 (Hand-drawn sketch ok) | (Exercises 2.1 due Oct 2nd) | Exercises 2.1 (page 43): 20, 22, 23, 24, 26, 27, 28, 30; | Lecture Notes for Sec. 2.1 Solutions for Quiz 2 Statistics for Quiz 2 |
| 5 | Sept 23 & 25 |
Sec. 2.1.2: Autonomous First-Order DEs
Sec. 2.6: A Numerical Method |
Exercises 2.6 (page 79):1, 2; | (Exercises 2.6 due Oct 2nd) | Lecture Notes for Sec. 2.6 | |
| 6 | Sept 30 & Oct. 2 |
Sec. 3.1: Linear Models
Sec. 3.2: Nonlinear Models |
Exercises 3.1
(page 90): 3,
6, 7, 11, 13, 17, 23, 25, 29, 31
Exercises 3.2 (page 100): 1, 2, 3, 5, 7; |
(Exercises 3.1 due Oct 7; Problems 29 and 31 will be due on Oct 16) (Exercises 3.2 due Oct 16) |
Exercises 3.1
(page 90):4, 5, 8, 9, 10, 14, 15, 21, 24, 27, 28, 30, 32,
34 Exercises 3.2 (page 100): 4, 6, 8; |
|
| 7 | Oct 7 & Oct 9 |
Midterm
1
Sec. 3.3: Modeling with Systems of First-Order DEs Sec.4.1: Preliminary Theory --- Linear Equations |
Exercises 3.3 (Page 110):1, 4, 5, 7; Exercises 4.1 (page 127): 3, 5, 13, 15, 17, 21, 23, 25, 29, 31, 35; |
(Exercises 3.3 due Oct 16)
(Exercises 4.1 due Oct 23) |
Exercises 3.3 (Page 110):2, 3,
6, 8;
Chapter 3 in Review (Page 113):1, 2, 3, 4, 5, 7, 9, 11, 12, 15; Exercises 4.1 (page 127): 2, 4, 6, 7, 9, 10, 14, 16, 18-20, 22, 24, 26-28, 30, 33, 34; |
Solutions for Midterm 1
Statistics for Midterm 1 |
| 8 | Oct 14 & 16 |
Sec. 4.1 cont'd
Sec.4.2: Reduction of Order |
Exercises 4.2
(page 131): 6, 7,
9, 11, 13, 15;
|
(Exercises 4.2 due Oct. 30) | Exercises 4.2 (page 131): 3, 4, 5, 8, 10, 12, 14, 16; | |
| 9 | Oct 21 & 23 |
Sec. 4.3: Homogeneous Linear Equations with Constant
Coefficients Sec. 4.4: Undetermined Coefficients |
Exercises 4.3
(page 137): 3,
5, 13, 19, 21, 23, 27, 29, 31, 35
Exercises 4.4 (page 147): 7, 10, 15, 17, 19, 30; |
(Exercises 4.3 due Oct. 30) (Exercises 4.4 due Nov 4) |
Exercises 4.3 (page 137): 4, 6-11, 14-18, 20, 22, 24, 25, 26, 28, 30, 32-34, 36; Exercises 4.4 (page 147): 6, 8, 10-14, 16, 18, 20, 27-29, 31-34; |
|
| 10 | Oct 28 & 30 |
Sec. 4.6: Variation of Parameters
Sec. 5.1: Linear Model: Initial-Value Problems Sec. 5.1: 5.1.3 & 5.1.4 |
Exercises 4.6
(page 161): 3,
11, 13, 15, 21, 23;
Exercises 5.1 (page 205): 9, 11, 21, 23, 25, 29, 31, 33, 45, 49, 51, 53 |
(Exercises
4.6 due Nov. 4, extended due Nov. 6)
(Exercises 5.1 due Nov 20) |
Exercises 4.6
(page 161): 4-10, 12, 14, 16-20, 22, 24
Exercises 5.1 (page 205): 7, 10, 12, 17-20, 22, 24, 26, 30, 32, 34, 37-40, 46, 47, 50, 52, 54; |
Solutions for Midterm 2
Statistics for Midterm 2 |
| 11 | Nov 4 & 6 |
Sec. 6.1: Review of Power Series
Midterm 2 |
Exercises 6.1 (page 237): 5-17 odd 23-33 odd; | (Exercises 6.1 due Nov 25)
(Exercises 6.2 due Dec 2) |
Exercises 6.1 (page 237): 6, 8, 10, 14, 16, 24, 26, 28, 30, 35, 37; | |
| 12 | Nov 11 & 13 |
Veterans' Day Holiday, no Class on Tuesday
Sec. 6.2: Solutions About Ordinary Points |
Exercises 6.2 (page 246): 1, 3, 9, 13, 15, 19, 21, 23; | (Exercises 6.2 due Dec 2) | Exercises 6.2 (page 246): 5, 7, 11, 14, 16, 17, 18, 20; | |
| 13 | Nov 18 & 20 | Linear Algebra Topics |
|
|
Exercises For Appendix II (page APP-18): 1-17 odd, 23, 25, 27, 29, 31-39 odd, 47-55 odd; | |
| 14 | Nov 25 & 27 |
Sec. 8.1: Preliminary Theory --- Linear Systems
Thanksgiving Recess, no Class on Thursday |
Exercises 8.1 (page 332): 3, 5, 7, 9, 11, 13, 17, 21; | (Exercises 8.1 due TBA) | Exercises 8.1 (page 332): 1, 15, 19, 23, 25; | |
| 15 | Dec 2 & 4 |
Sec. 8.2: Homogeneous Linear Systems Review |
Exercises 8.2 (page 346): 1, 3, 5, 7, 9, 11, 13 | (Exercises 8.2 due TBA) | Exercises 8.2 (page 346):2, 4, 6, 8, 10, 12, 14 | Solutions for Midterm 3 |
| 16 | Dec 9 & 11 | Midterm 3
Final Exam on Dec 11 |