Welcome to Calculus of Variations

News:

Article by Angelo Miele: Calculus of Variations in Applied Aerodymics and Flight Mechanics PDF

Homework 4 - Due Thursday, July 27

Textbook:

IM Gelfand and SV Fomin, Calculus of Variations, Dover 1991
Additional Reading: Pablo Pedregal, Introduction to Optimization, Springer 2004

Schedule:

Week 1. Chapter 1: Elements of the Theory.
HMW 1: # 14, 15, 18, 22

Week 2. Chapter 2: Further Generalizations
HMW 2: # 1, 2a, 11, 13, 18, 19

Week 3. Chapter 3: The General Variation of a Functional.
HMW 3: # 4, 6, 9, 12, 18

Midterm Exam PDF

Week 4. Chapter 4: The Canonical Form of the Euler Equations
HMW 4: # 1, 2, 3, 7

Week 5. Chapter 8: Direct Methods in the Calculus of Variations

Week 6. Additional Material: Optimal Control Theory and Numerical Methods

Final Exam

Grading:

Weekly Homework will be assigned and graded. HMW 30%, Midterm 30%, Final 40%

 

This is the second course on Scientific Computation, following the Math4567/5670 offered Fall 2016