AM/ACM 127 - Spring 2015










Instructor
Prof. Kaushik Bhattacharya
Keith-Spaulding 223
x8306
bhatta@caltech.edu

TA

Lincoln Collins
Keith-Spaulding 221
lcollins@caltech.edu

Schedule

Tues/Thurs
1 PM - 2:25 PM
308 Firestone


Textbook

Introduction to the Calculus of Variations, 2nd. Ed.; Bernard Dacorogna

Office Hours

Day

Time


Location

Thursday

4-5PM

Lincoln

SFL 326

TBA

TBA

Prof. Bhattacharya

KS 223


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Announcements

Refer to the class website at Piazza, and please create an account: 

https://piazza.com/caltech/spring2015/amacm127/




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Notes

Euler Lagrange, Higher Dimensions

Policies

Course grade composition

HW: 6 sets worth 10 points each. Final: 40 points

Homework

You are welcome to discuss the homework problems with each other as well as with the teaching assistant/instructor. However, you should only submit your own work that reflects your understanding of the problems. The honor code is in effect, do not seek out solutions to assigned problems. 

Late submission

No late homework will be accepted except (i) in the case of genuine documented emergencies or (ii) permission of the instructor at least one week before the due date.


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Homework

HW

Assigned

Due

Homework (pdf)

Solutions (pdf)

HW 01

04.07

04.14

See Piazza site.

See Piazza site.

HW 02





HW 03





HW 04





HW 05





HW 06





Finals





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Course Outline

31 Mar

Intro to Classical Method

2, 7 Apr

Euler-Lagrange Equation (2.2)

9 Apr

Hamiltonian Formulation (2.2)

14, 16 Apr

Field Theories (2.6)

21, 23 Apr

Lp Spaces (1.3)

28 Apr

Sobolev Spaces (1.4)

30 Apr

Convex Analysis (1.5) 

5 May

Direct Method (3.2)

7, 12 May

Existence Theory (3.3)

14, 19 May

Vectorial Case (3.5)

21 May

Relaxation (3.6)

26, 28 May

Examples 

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Questions? lcollins@caltech.edu

Last updated: March 27, 2015