AMS 212B SYLLABUS, Spring 2016
General Information
Class and Exams Schedule
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General Information
Tentative schedule (this will be updated as the course proceeds)
Class and Exams Schedule
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General Information
- Recommended Textbook: "Perturbation methods for Engineers and Scientists" by Alan. W. Bush. You can probably get used copies from last year's AMS students.
- Supplemental material:
- "Perturbation methods" by John Hinch
- "Advanced mathematical methods for scientists and engineers" by Bender and Orszag
- Homework: Homework will be given every week, but will not be graded.
- Exams: There will one take-home midterm and one in-class final.
- Grading Policy:
- Midterm 1: 30 % of total grade.
- Midterm 2: 30 % of total grade.
- Final exam: 40 % of total grade.
Tentative schedule (this will be updated as the course proceeds)
- Week 1:
- Mar 29: Chapter 1: Introduction to perturbation methods through examples.
- Mar 31: (continued)
- Week 2:
- Apr 5: Chapter 2: General considerations on asymptotic expansions.
- Apr 7: (continued)
- Week 3:
- Apr 12: (continued). Chapter 3: Method of strained coordinates for IVPS.
- Apr 14: (continued)
- Week 4:
- Apr 19: (continued)
- Apr 21: Chapter 4: Method of multiple scales for IVPs.
- Week 5:
- Apr 26: (continued)
- Apr 28: Chapter 5: 2-pt BVPs and boundary layers.
- Week 6:
- May 3: (continued)
- May 5: (continued)
- Week 7:
- May 10: Chapter 6: The method of dominant balance and the WKB approximation
- May 12: (continued)
- Week 8:
- May 18: (continued)
- May 20: (continue)
- Week 9:
- May 24: Chapter 7: Asymptotic expansions of integrals
- May 26: (continued)
- Week 10:
- May 30: (continued)
- Jun 2: Review
- Week 11:
- FINAL: Tuesday, June 7th, time 8:00AM-11:00AM, classroom.