Course Information
Instructor  Dr. Changhui Tan 
Lectures  T Th 1:15pm  2:30pm, via Blackboard Collaborate Ultra 
Office  LeConte 402 
Office Hours  MW 11:00am12:00pm, or by appointment, via Blackboard Collaborate Ultra 
Textbooks  Boyce, DiPrima and Meade, Elementary Differential Equations (11th Edition). (ISBN: 9781119320630) 
Syllabus  Click Here 
Schedule  Click Here (tentative schedule, subject to change) 
Course Description
 The official course description for the MATH 723/724 sequence:
 Differential equations of the first order, linear systems of ordinary differential equations, elementary qualitative properties of nonlinear systems.
 Prerequisites: C or better in MATH 344 or 544.
 Subject Materials: We shall cover most of the material presented in Chapters 14, 6 and 7 of the textbook. Chapter 9 will be covered if time permits.
 Learning Outcomes: Students who successfully complete Math 520 will be able to accomplish the following:
 a). Solve initialvalue problems and find general or particular solutions to ordinary differential equations;
 b). Develop skills to use various solution methods such as integrating factors, substitution, Laplace transforms, and etc;
 c). Use differential equations to solve practical problems.
 Students are also expected to master mathematical concepts and apply these concepts to solve problems of first order and higher order linear/nonlinear ODEs based upon the methods they learn from this class.
Online Lectures
 Due to the coronavirus pandemic, online lectures will be offered via Blackboard Collaborate Ultra. You can access the virtual classroom from the course page at Blackboard (Click "Online Lectures") at normal lecture time. A microphone is recommended for inclass communication. Lectures will be recorded for future access.
 Office hours will also be offered via internet. A session has been created in the Blackboard system. Other than the regular office hours, appointment can be made via email.
 Download Notes for Online Lectures.
Homework and Quiz
 Homework will be assigned after each lecture, see HERE for the assignments. We do not plan to collect homework. But you are supposed to do them all. Remember: the more problems you do, the better you understand the material. The homework is not pledged. You are encouraged to discuss the problems. However, each student is responsible for the final preparation of his/her own homework papers.
 There will be approximately one quiz per week on Tuesday, in the beginning 15 minutes of the lecture. The quiz problems will be either the same as, or very similar to those from the homework. Thus, if a student has made a good attempt at the homework, he/she should do well on the quiz. The lowest quiz grade will be dropped from the final grade calculation.
 We will use the blackboard system for the quiz. In the case when the online quiz system does not work well, the instructor can change the policy and collect homework instead.
 The quiz format changes starting from Quiz 6. A quiz will be released on Monday at 2pm via blackboard. Finish the quiz in 15 minutes of your choice. Then scan it into a single PDF file and submit before Tuesday at 11am.
 Download Quizzes and Solutions (starting from Quiz 6).
Exams
 There will be two 75 minutes takehome midterm exam. The dates will be announced later (at least 10 days before the exam is released). There will be a 150 minutes takehome cumulative final exam.
 All exams are "closed book", with the exception of an onepage formula sheet that is handwritten and prepared by yourself.
 Download Exams and Solutions.
Grades
 Your grade are distributed as below:

Attendance » 5% Quiz » 25% (drop lowest 2) Midterm Exams » 20% each Final » 30%  You can monitor your grades via Blackboard.
 The letter grade will be mapped by: 90+ A; 86+ B+; 80+ B; 76+ C+; 70+ C; 66+ D+; 60+ D; 60 F.
Contact Information
 Contact me at This email address is being protected from spambots. You need JavaScript enabled to view it. if you have any questions.
Course Syllabus
 This is the tentative schedule which is subject to change.

DATE SECTION ASSIGNMENTS AND EXAMS Th 08/20 1.1, 1.3 (1.1) 1,7,11,15 (1.3) 1,3,5,7,10,17 T 08/25 1.11.2, 2.1 (1.2) 7 (2.1) 1,3,4,9,11 Th 08/27 2.12.2 (2.1) 13,19(a),22,23 (2.2) 1,7 T 09/01 2.2, 2.4 (2.2) 5,10,13,18,25(optional) (2.4) 1,9 Th 09/03 2.32.4 (2.3) 10,11 (2.4) 3,7,11,17,19 T 09/08 2.3, 2.5 (2.3) 5,7,20 (2.5) 7,9,16,17,2325(optional) Th 09/10 2.6 (2.6) 1,3,5,7,9,11,14 T 09/15 2.62.8 (2.6) 16,17(optional),19,21(optional) (2.Review) 1,5,9,13,17 Th 09/17 3.13.2 (3.2) 1,4,7,11,16,20,22 T 09/22 3.1, 3.3 (3.1) 1,5,9,16,21 (3.3) 1,5,9,19 Th 09/24 3.43.5 (3.4) 2,6,7,10 (3.5) 1,3,8 T 09/29 3.53.6 (3.5) 5,6,11,13 (3.6) 2,5,8,11 Th 10/01 Review Midterm 1 T 10/06 3.7 (3.7) 3,8,14,18,20,21 Th 10/08 3.8, 4.1 (3.8) 4,5,8 (4.1) 8,10,12(a),15(optional) T 10/13 4.24.4 (4.1) 5,12(b),18 (4.2) 8,12,17,23 (4.3) 3,7,11 Th 10/15 4.4, 6.1 (4.4) 1,5,9 (6.1) 4,12,15,19,2324(optional) T 10/20 6.2 (6.2) 1,2,3,6,9,11,14 Th 10/22 6.26.4 (6.2) 18,21(optional) (6.3) 13,15,21 (6.4) 1,4,5 T 10/27 6.36.5 (6.3) 5,8,12 (6.4) 6,8 (6.5) 1,3,7,10,13 Th 10/29 6.6 (6.6) 5,8,13,15 (6.2) 23,26,27 T 11/03 Election Day Review [Notes] [Video] Th 11/05 7.17.3 (7.1) 1,4,6 (7.2) 2,10,16 (7.3) 1,3 T 11/10 7.3, 7.5 (7.3) 7,11,15,20 (7.5) 7,9,21 Th 11/12 7.47.5 (7.4) 1,3,12 (7.5) 1,3,5,11,23 T 11/17 7.6 (7.6) 1,5,7,9,13,17,19 Th 11/19 7.6, 7.8 (7.6) 11,15 (7.8) 1,3,5,7,9,15 T 11/24 7.7, 7.9 (7.7) 1,5,9 (7.9) 1,3,5,7 Th 11/26 Thanksgiving T 12/01 Review