# SYLLABUS

## Calculus III (Math 2401 M) Fall 2012, Georgia Tech

Lecture Recitations
M W 3:05-4:25 Howey Physics L3 M1: T R 3:05-3:55 pm Skiles 271
M2: T R 3:05-3:55 pm Skiles 270
M3: T R 3:05-3:55 pm Skiles 249
M4: T R 3:05-3:55 pm Engr Science 201

### Course Description

We study calculus of vector valued functions. Main topics include Taylor's theorem, 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, 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.

We will study chapters 13 to 18 of the text, according to the following (tentative) schedule:

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 Tuesday, although they will not be collected. Also there will be quizzes every Thursday (on the previous Tuesday's homework).

### Assignments

 # Due Date Problems 1 Jan 17 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 Jan 24 14.1) 10, 16, 30, 42; 14.2) 8, 22, 29, 32, 33; 14.3) 14, 22, 33, 34, 35, 36; 14.4) 2, 16, 18, 21, 22, 24. 3 Jan 31 14.5) 2, 6, 11, 12, 14, 32, 50, 52; 14.6) 4, 5, 6, 10, 11, 15; 14.7) 1, 2. 4 Feb 7 15.1) 2, 4, 32, 33, 34, 35; 15.2) 16, 20, 26, 30, 44; 15.3) 2, 8, 20, 22, 37; 15.4) 2, 6, 18, 50, 55. 5 Feb 14 15.6) 2, 4, 18, 23, 26, 29, 30; 16.1) 4, 6, 10, 33, 34. 6 Feb 21 16.2) 2, 4, 10, 24, 32, 33, 34, 40; 16.3) 6, 8, 10, 20, 25, 26, 36, 45, 47, 52; 16.4) 10, 12, 32, 34. 7 Feb 28 16.5) 6, 12, 28, 30. 16.6) 2, 6, 16, 20, 26, 32; 16.7) 2, 12, 28, 30, 33. 8 Mar 6 16.8) 2, 18, 22, 26, 30, 34; 16.9) 3, 6, 25, 31; 17.1) 2, 8; 17.2) 2, 3, 4, 10, 14. 9 Mar 13 17.3) 4, 11, 14, 20, 33, 35, 38; 17.4) 4, 6, 10, 14, 24, 32; 17.5) 4, 8, 29, 31, 34. 10 Mar 27 17.7) 6, 19, 22, 26, 28, 34, 48; 17.8) 8, 10, 12, 22, 26, 27, 35, 36; 17.9) 2, 12, 14, 16, 32, 34. 11 Apr 3 17.10) 2, 8, 10, 11, 14, 20, 27. 18.1) 4, 8, 19, 31; 18.2) 2, 6, 21, 27. 12 Apr 10 18.3) 1, 4, 7, 8, 9; 18.4) 5, 6, 17, 18, 19, 28, 29; 18.5) 2, 10, 17, 19, 27, 34, 35, 36. 13 Apr 17 18.6) 2, 6, 7, 15, 16, 18, 20, 30; 18.7) 2, 8, 17, 18, 19, 22, 32. 14 Apr 24 18.8) 2, 4, 16, 19, 22; 18.9) 2, 4, 6, 9, 10, 15, 16, 17, 22; 18.10) 2, 6, 8, 11, 12, 14, 15, 16.

### Attendance Policy

Students are required to attend all lectures and recitations.