AMS 212B SYLLABUS, Spring 2015
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
- Required 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, you will be required to present solution during Section.
- Exams: There will one in-class final.
- Grading Policy:
- Homework: 40 % of total grade.
- Final exam: 60 % of total grade.
Tentative schedule (this will be updated as the course proceeds)
- Week 1:
- Mar 31: Chapter 1: Introduction to perturbation methods through examples.
- Apr 2: (continued)
- Week 2:
- Apr 7: Chapter 2: General considerations on asymptotic expansions.
- Apr 9: (continued)
- Week 3:
- Apr 14: (continued). Chapter 3: Method of strained coordinates for IVPS.
- Apr 16: (continued)
- Week 4:
- Apr 21: (continued)
- Apr 23: Chapter 4: Method of multiple scales for IVPs.
- Week 5:
- Apr 28: (continued)
- Apr 30: Chapter 5: 2-pt BVPs and boundary layers.
- Week 6:
- May 5: (continued)
- May 7: (continued)
- Week 7:
- May 12: Chapter 6: The method of dominant balance and the WKB approximation
- May 14: (continued)
- Week 8:
- May 20: (continued)
- May 22: (continue)
- Week 9:
- May 26: Chapter 7: Asymptotic expansions of integrals
- May 28: (continued)
- Week 10:
- Jun 2: (continued)
- Jun 4: Review
- Week 11:
- FINAL: Monday, June 8th, time TBD, classroom.