| Instructor/TA | Office | Office hour (zoom) | |
| Dr. Chi Li | Monday/Friday 11am-11:40am | chi.li@rutgers.edu | |
| @math.rutgers.edu |
| Textbook | Schedule | Canvas | Rutgers Zoom | Policies | Services |
| Grading: |
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Week |
Sections |
Notes |
Recordings |
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Week 1: 9/1-9/3 |
1.1: Modeling |
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Week 2: 9/6-9/10 |
1.2: Separation of variables 1.3: Slope fields 1.4: Euler's Method |
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Week 3: 9/13-9/17 |
1.5: Existence and Uniqueness 1.6:Equilibria and Phase Line |
09/14 | |
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Week 4: 9/20-9/24 |
1.7: Bifurcations 1.8: linear equations |
09/21 | |
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Week 5: 9/27-10/1 |
1.9: Integrating factors 3.6: 2nd order linear equations |
09/28 | |
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Week 6: 10/4-10/8 |
3.6: 2nd order linear equations 4.1: Forced Oscillators |
10/05 | |
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Week 7: 10/11-10/15 |
4.2: Sinusoidal Forcing 4.3: Undamped Forcing and resonance |
10/12 | |
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Week 8: 10/18-10/22 |
2.1-2.2: Geometry of systems 2.4: Partially decoupled system 2.5: Euler's method for system |
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Week 9: 10/25-10/29 |
2.6: Existence and uniqueness 2.7: SIR model of an epidemic 3.1: linear system |
Quiz 3 Quiz 3 Solution | 10/26 |
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Week 10: 11/1-11/5 |
3.2: Straight-Line Solutions 3.3: Phase Portraits
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Week 11: 11/8-11/12 |
3.4: Complex Eigenvalues |
10/09 | |
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Week 12: 11/15-11/19 |
3.5: Repeated and Zero Eigenvalues 3.7: The Trace-Determinant Plane |
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Week 13: 11/22-11/26 |
5.1, 5.2: Equilibrium Analysis |
Thanksgiving Recess 11/24-11/28 | |
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Week 14: 11/29-12/3 |
5.3: Hamiltonian System 5.4: Dissipative System |
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Week 15: 12/6-12/10 |
3.8: Linear system in three dimensions Review |
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Week 16: 12/13-5/17 |
Classes end on 12/13 Reading Days (12/14-12/15) Exam (between 12/16-12/23) |
Final Review Problems |
| Zoom information |
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Homework are submitted on the Canvas websites. There will be 13 homework. Not all problems are graded. The lowest 3 scores will be dropped. Each homework count for 5 points. The total homework points is 50=10*5.
There will be 4 quizzes given on Thursday. See schedule for the their time. The quiz may cover any topics covered in lecture since the previous quiz. The lowest or missed one quiz score will be dropped.
Video from MathWorks: Solving ODEs in MATLAB
You are expected to read the textbook sections each week. Reading Assignments will be posted on your section's Canvas site, and will be due prior to Tuesday's lecture. Each assignment will include two questions based on the textbook section(s). You are not expected to fully understand the topic just by reading the book, but you are supposed to know definitions and have a general sense of the material and the problem types that we are likely to discuss in class.
There are 2 scheduled midterm exams on Thursday The midterms are scheduled at the following dates:
All students in the course are expected to be familiar with and abide by the academic integrity policy. Violations of the policy are taken very seriously.
Rutgers is fully commited to compliance with the American with Disabilities Act; policies and procedures are indicated at http://ods.rutgers.edu/
Students who wish to request special accommodations must present a Letter of Accommodations to the instructor as early in the term as possible (see https://ods.rutgers.edu/letter-accommodation )
Counseling, ADAP & Psychiatric Services (CAPS) http://health.rutgers.edu/medicalcounseling- services/counseling/ , (848) 932-7884 / 17 Senior Street, New Brunswick, NJ 08901. CAPS is a university mental health support service that includes counseling, alcohol and other drug assistance, and psychiatric services staffed by a team of professional within Rutgers Health services to support students efforts to succeed at Rutgers University. CAPS offers a variety of services that include: individual therapy, group therapy and workshops, crisis intervention, referral to specialists in the community and consultation and collaboration with campus partners.
Violence Prevention & Victim Assistance (VPVA) www.vpva.rutgers.edu/ , (848) 932 1181, 3 Bartlett Street New Brunswick NJ 08901. The office for Violence Prevention and Victim Assistance provides confidential crisis intervention, counseling and advocacy for victims of sexual and relationship violence and stalking to students, staff and faculty. To each staff during office hours when the university is open or to reach an advocate after hours, call 848-932-1181.
Disability Services https://ods.rutgers.edu , (848) 445-6800/ Lucy Stone Hall, Suite A145, Livingston Campus, 54 Joyce Kilmer Avenue, Piscataway, NJ 08854. Rutgers University welcomes students with disabilities into all of the University’s educational programs. In order to receive consideration for reasonable accommodations, a student with a disability must contact the appropriate disability services office at the campus where you are officially enrolled, participate in an intake interview, and provide documentation: https://ods.rutgers.edu/students/documentation-guidelines . If the documentation supports your request for reasonable accommodations, your campus’s disability services office will provide you with a Letter of Accommodations. Please share this letter with your instructors and discuss the accommodations with them as early in your courses as possible. To begin this process, please compete the Registration form on the ODS web site at: https://ods.rutgers.edu/students/registration-form .
Scarlet Listeners https://rutgers.campuslabs.com/engage/organization/scarletlisteners (732) 214 9069. Free and confidential peer counseling and referral hotline, providing a comforting and supportive safe space.