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Jack Baskin School of EngineeringUC Santa Cruz

AMS 212B SYLLABUS, Spring 2016


General Information
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.