Instructor: Angela Pasquale
Office Hours & Location: Mon & Wed, 2-3 PM, or by appointment. Office: 305
Teaching Assistant: Soufiane Karrakchou

Lectures: Mon & Wed, 12:35-1:55 pm, Red Room
Recitations: Tue & Thu, 1:00-2:00 pm, Red Room

Course Description: Math 2552 is an introduction to differential equations, with a focus on methods for solving some elementary differential equations and on real-life applications.

Course Text: Differential Equations: An Introduction to Modern Methods & Applications, by James R. Brannan and William E. Boyce (3rd edition), John Wiley and Sons, Inc.

Course requirements: Five quizzes (15-20 minutes), two midterms (50 minutes), and a comprehensive final exam (2 hours 50 minutes).
Homework list: [pdf]

Syllabus: [pdf]
Syllabus (updated April 2, 2020 - typo in the starting time for the Midterm corrected): [pdf]
Final Exam: Friday, April 24, 1 pm-5:30 pm (Atlanta time).

• Chapter 1: Introduction. Sections 1.1, 1.2, 1.3
  Lecture Jan 8: section 1.1 [pdf], section 1.2 (please see below for the file)
  Lecture Jan 10: section 1.2 [pdf], section 1.3 [pdf]
  
• Chapter 2: First order differential equations. Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6
  Lecture Jan 14: section 2.1 [pdf], section 2.2 [pdf]
  Lecture Jan 16: section 2.3 [pdf]
  Lecture Jan 20: section 2.4 [pdf], section 2.5 [pdf]
  Lecture Jan 22: section 2.6 [pdf], section 2.7
  Lecture Jan 23: section 2.7 and overview of the ODE of Ch. 2 [pdf].
  
• Chapter 3: Systems of two first order differential equations: Sections 3.1, 3.2, 3.3, 3.4, 3.5, 3.6
  and Chapter 6: Systems of First Order Linear Equations: Sections 6.1, 6.2, 6.3, 6.4
  Lecture Feb 3: section 3.1 [pdf], section 3.2 [pdf]
  Lecture Feb 5: section 3.3 (1st part) [pdf]
  Lecture Feb 10: section 3.4 (1st part) [pdf], section 3.5 (1st part) [pdf], section 6.1 [pdf]
  Lecture Feb 12: section 6.2 [pdf], section 6.3 [pdf], section 6.4 [pdf]
  Lecture March 2: Graphical methods (sections 3.2, 3.3) (please see below for the file)
  Lecture March 4: Graphical methods (sections 3.3, 3.4, 3.5) [pdf], Handout on shifted systems [pdf], Section 3.6 [pdf], example [pdf]
  
• Chapter 4: Second order linear equations: Sections 4.1, 4.2, 4.3, 4.5, 4.7, 4.4, 4.6
  Lecture March 4: section 4.1 [pdf], example [pdf], section 4.2 [pdf] , example [pdf]
  Lecture March 9 (video available below): section 4.3 [pdf], section 4.5 [pdf], examples [pdf]
  Lecture March 11 (video available below): section 4.7 [pdf], examples [pdf]
  Lecture March 30 (video available below): section 4.4 [pdf],
  
• Chapter 5: The Laplace Transform: Sections 5.1, 5.2, 5.3, 5.4, 5.5, 5.6
  Lecture March 30 (video available below): section 5.1 [pdf]
  Lecture April 1 (video available below): section 5.2 [pdf], section 5.3 [pdf]
  Lecture Apr 6 (video available below; missing "=" added on last slide of section 5.5): section 5.4 [pdf], section 5.5 [pdf]
  Lecture Apr 8 (video available below): section 5.6 [pdf]
  
• Chapter 7: Nonlinear differential equations and stability: Sections 7.1, 7.2, 7.3, 7.4
  Lecture Apr 8 (video available below): section 7.1 [pdf]
  Lecture Apr 13 (video available below): section 7.2 [pdf]
  Lecture Apr 15 (video available below): section 7.3 [pdf],: section 7.4 [pdf]
  

• Quiz 1 [pdf] and solutions [pdf]
• Quiz 2 [pdf] and solutions [pdf]
• Quiz 3 (version of April 2) [pdf] and solutions [pdf]
  
• Quiz 4 [pdf] (due Saturday, April 4, noon, Atlanta time) and solutions [pdf]
  
• Quiz 5 [pdf] and solutions [pdf] (a list of mistakes to be avoided at the beginning of the solution sheet).

• Midterm 1: Review sheet [pdf], Practice [pdf]: all exercises but Exercice 4(d). Solutions of the practice midterm [pdf]
• Midterm 1 [pdf]
  Midterm 1: solutions [pdf]
• Midterm 2: Review sheet [pdf], Practice 1 [pdf]: only the first exercise. Solutions [pdf]. Important info and Practice 2 [pdf]. New corrected version [typo in Question (a) of Exercice 2]. Solutions [pdf].
• Midterm 2 [pdf]
  Midterm 2: solutions [pdf]
  

• Final Exam Review Sheet [pdf]
  
• Practice 1: Final Exam, Fall 2019 [pdf]. Exercise 7, part 1, cannot be solved with the material covered this semester.
  Solutions [pdf] .
  
• Practice 2: Additional important info and review problems: [pdf] and solutions [pdf]

• March 3-5: Recitation sheet [pdf]. Solutions [pdf] (updated March 8)
  
• March 10 (by S. Karratchou): Recitation sheet [pdf]. Solutions [pdf]
  
• March 31 (by S. Karratchou): Recitation sheet [pdf].
  Recitation session on BlueJeans from 11 am to 12 pm (Atlanta time)
• April 7 (by S. Karratchou): Recitation sheets [pdf1] and [pdf2]. Table of Laplace transforms [png].
  Recitation session on BlueJeans from 11 am to 12 pm (Atlanta time)
• April 14 (by S. Karratchou): Recitation sheets [pdf]
  Recitation session on BlueJeans from 11 am to 12 pm (Atlanta time)

Week 1: Jan 8-10

Sec 1.1: 1, 2, 4, 5, 15, 17

Sec 1.2: 1, 2, 5, 9, 19, 25, 28

Sec 1.3: 1-6, 13, 16, 21, 23, 32

Week 2: Jan 13-17

Sec 2.1: 1, 3, 6, 13, 15, 17

Sec 2.2: 1-3, 5-6, 13, 15

Sec 2.3: 1, 3, 5, 11, 16, 20

Week 3: Jan 20-25

Sec 2.4: 1-6, 7, 8, 15

Sec 2.5: 1, 2, 7

Sec 2.6: (a) and (b) only in 1, 3, 5, 7, 8, 12; 15

Sec 2.7: 1, 2, 10, 11, 13, 14

Weeks 4-5: Jan 27-Feb 7

Sec 3.1: 1-3, 13-17

Sec 3.2: 1-8, 21-22, 25, 30(a)-(b)

Sec 3.3: 1-6 (general solution and behaviour for t to infinity only), 13-14 (solution to IVP only), 25-26 (a)-(b)-(c)

Week 6: Feb 10-14

Sec 3.4: 1-3 (general solution and behaviour for t to infinity only)

Sec 3.5: 1-3 (general solution and behaviour for t to infinity only), 7 (initial value problem only)

Week 7: Feb 17-21

Sec 6.1: 2, 4-5

Sec 6.2: 5, 8, 9, 11, 15

Sec 6.3: 4, 10, 16, 21

Sec 6.4: 1, 4, 6

Week 9: Mar 2-6

Sec 3.2: 15

Sec 3.3: 10, 19

Week 10: Mar 9-13

Sec 6.4: 1, 5

Sec 3.6: 1, 6

Sec 4.1: 10, 11, 15

Sec 4.2: 7, 15

Week 13: Mar 30-Apr 3

Sec 4.3: 1, 3, 27, 28

Sec 4.5: 1, 11

Sec 4.7: 3, 10

Sec 4.4: 1, 7, 13

Week 14: Apr 6-10

Sec 5.1: 1, 2, 7, 11, 12

Sec 5.2: 1, 2, 4, 11, 19

Sec 5.3: 9, 10, 11, 17

Sec 5.4: 1, 7, 9, 11, 19

Sec 5.5: 1, 7, 11, 13, 17

Sec 5.6: 1, 3, 4