# SYLLABUS

## Calculus III (Math 2401 L) Fall 2008, Georgia Tech

Lecture Recitations
T TH 3:05-4:25 Howey Physics L3 L1: M W 3:05-3:55 pm Skiles 268
L2: M W 3:05-3:55 pm Skiles 270
L3: M W 3:05-3:55 pm Skiles 256
L4: M W 3:05-3:55 pm Skiles 243

### Course Description

We study calculus of vector valued functions. Main topics include Taylor's theorems, Lagrange multipliers and constrained optimization, parametrized curves and surfaces, change of variables formula and Jacobians, line and path integrals, surface integrals, theorems of Green, Gauss, Stokes, differential forms, and various applications to problems in Physics, Engineering, and Geometry.

Math 1502

### Textbooks

Calculus, One and Several Variables, by Salas, Hille, and Etgen (Tenth Edition); John Wiley and Sons, Inc., 2007, and Linear Algebra by Carlen and Carvalho, W. H. Freeman & Sons, Inc. 2007.

We will study chapters 13 to 18 of the text.

Topic Chapters Weeks
Review of Vectors, Dot Product, and Cross Product13 1
Vector valued functions, curves, and motion14 2
Functions of several variables, Partial derivatives 15 2
Grandients and Optimization Problems 16 3
Double and Triple Integrals 17 3
Line and Surface Integrals, Stokes Theorem184

### Homeworks and Quizzes

There will be homewark assignments due every Wednesday. Late Homeworks will not be accepted. Also there will be quizzes every Monday (on the previous weeks homework).

### Assignments

 # Due Date Problems 1 Aug 27 13.1) 2, 12, 18; 13.2) 2, 6, 14, 19, 26, 30, 31, 40; 13.3) 2, 8, 11, 40, 41, 46, 47, 48; 13.4) 2, 22, 24, 28, 37, 40, 47; 13.5) 2, 4, 10, 22, 34; 13.6) 4, 6, 16, 28. 2 Sep 3 14.1) 10, 16, 30, 42; 14.2) 8, 22, 32, 33; 14.3) 14, 22, 33, 34, 36; 14.4) 2, 16, 18, 22, 24. 3 Sep 10 14.5) 2, 6, 11, 12, 14, 32, 50, 52; 14.6) 4, 5, 6, 10, 11, 15; 14.7) 1, 2. 4 Sep 17 15.1) 2, 4, 32, 35; 15.2) 16, 20, 26, 28, 30, 44; 15.3) 2, 8, 20, 22, 37; 15.4) 2, 6, 18, 50, 56. 5 Sep 24 15.6) 2, 4, 18, 23, 26, 29, 30; 16.1) 4, 6, 10, 33, 34, 42, 43; 16.2) 2, 4, 10, 24, 32, 33, 34, 40. 6 Oct 1 16.3) 6, 8, 10, 20, 25, 26, 36, 45, 47, 52; 16.4) 10, 12, 32, 34; 16.5) 6, 12, 28, 30. 7 Oct 8 16.6) 2, 6, 16, 20, 26, 32; 16.7) 2, 12, 28, 30, 33; 16.8) 2, 18, 22, 26, 30, 34, 38. 8 Oct 15 17.1) 2; 17.2) 2, 4, 10, 14; 17.3) 4, 11, 14, 20, 33, 35, 38; 17.4) 4, 6, 10, 14, 24, 30. 9 Oct 22 17.5) 4, 8, 29, 31, 34; 17.7) 6, 19, 22, 26, 28, 34, 40, 46, 48. 10 Oct 29 17.8) 8, 10, 12, 22, 26, 27, 35, 36; 17.9) 2, 12, 14, 16, 32, 34; 17.10) 2, 8, 10, 11, 14, 20, 27. 11 Nov 5 18.1) 4, 8, 19, 31; 18.2) 2, 6, 21, 27; 18.3) 1, 4, 7, 8, 9. 12 Nov 12 18.4) 5, 6, 7, 17, 18, 19, 28, 29; 18.5) 2, 10, 17, 19, 27, 35. 13 Nov 19 18.6) 2, 6, 7, 15, 16, 18, 20, 30; 18.7) 2, 8, 17, 18, 19, 22, 32. 14 Nov 26 18.8) 2, 4, 16, 19, 22; 18.9) 2, 4, 6, 9, 10, 15, 16, 17, 22. 15 Dec 3 18.10) 2, 6, 8, 11, 12, 14, 15, 16.

### Attendance Policy

All students are required to attend all lectures and recitations.