a Spring 2014 - AMS 212B - Classes - Jack Baskin School of Engineering, UC Santa Cruz Skip Navigation
Jack Baskin School of EngineeringUC Santa Cruz

AMS 212B SYLLABUS, Spring 2014


General Information
Class and Exams Schedule
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General Information
  • Required Textbook:  "Perturbation methods for Engineers and Scientists" by Alan. W. Bush. We should be getting affordable copies in the bookstore shortly.
  • 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.
  • 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:
    • Apr 1: Chapter 1: Introduction to perturbation methods through examples.
    • Apr 3: (continued)
  • Week 2:
    • Apr 8: Chapter 2: General considerations on asymptotic expansions.
    • Apr 10: (continued)
  • Week 3:
    • Apr 15: (continued). Chapter 3: Method of strained coordinates for IVPS.
    • Apr 17: (continued)
  • Week 4:
    • Apr 22: (continued)
    • Apr 24: Chapter 4: Method of multiple scales for IVPs.
  • Week 5:
    • Apr 29: (continued)
    • May 1: Chapter 5: 2-pt BVPs and boundary layers.
  • Week 6:
    • May 6: (continued)
    • May 8: (continued)
  • Week 7:
    • May 13: Chapter 6: The method of dominant balance and the WKB approximation
    • May 15: (continued)
  • Week 8:
    • May 20: (continued)
    • May 22: Chapter 7: Asymptotic expansions of integrals
  • Week 9:
    • May 27: (continued)
    • May 29: (continued)
  • Week 10:
    • Jun 3: (continued)
    • Jun 5: Review
  • Week 11:
    • FINAL: Tuesday, June 10th, 12:00PM -- 3:00PM, classroom.