# SYLLABUS

## Honor Calculus III (Math 2411) Spring 2014, Georgia Tech

Lecture
M W F 1:05-1:55 Skiles 317

Dawei He

### 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.

### Textbooks

Vector Calculus, by Susan Colley (Fourth Edition), Pearson 2012.

### Homework

There will be homework assignments due every Thursday, which will be graded and returned the following Tuesday.

### Assignments

 # Due Date Problems 1 Jan 16 1.1) 16, 17, 22, 26; 1.2) 14, 16, 28, 34, 46; 1.3) 8, 14, 18, 25, 32, 33. 2 Jan 23 1.4) 14, 18, 20, 21, 23, 26; 1.5) 4, 6, 28, 33, 38; 1.6) 7, 10, 11, 12. 3 Jan 30 1.7) 6, 12, 24, 42; p.78-79) 27, 30; 2.1) 16, 18, 38, 42; 2.2) 8, 14, 23, 30, 46. 4 Feb 6 2.3) 2, 18, 28, 38, 42, 62; 2.4) 6, 10, 28, 31. 5 Feb 13 2.5) 2, 6, 20, 31, 32; 2.6) 2, 6, 12, 14, 22, 36. 6 Feb 20 3.1) 8, 16, 20, 22, 27, 30; 3.2) 4, 10, 12, 15, 16. 7 Feb 27 3.2) 21, 28, 33; 3.3) 2, 4, 18, 20, 25; 3.4) 2, 8, 18, 23; 4.1) 2, 10. 8 Mar 6 4.1) 22, 36; 4.2) 6, 8, 28, 32, 34; 4.3) 4, 22, 26, 28. 9 Mar 13 5.1) 4, 8, 10; 5.2) 6, 16, 26, 29; 5.3) 4, 14; 5.4) 6, 9, 10, 12, 15. 10 Mar 27 5.5) 8, 16, 18, 20, 33; 5.6) 2, 12, 18, 22; p. 403) 11. 11 Apr 3 6.1) 2, 8, 18, 24, 34, 39; 6.2) 4, 10, 14, 17, 19, 28; 6.3) 4, 26, 37. 12 Apr 10 7.1) 2, 8, 22, 24, 28, 32; 7.2) 6, 8, 10, 20, 28. 13 Apr 17 7.3) 4, 8, 10, 12, 16, 20, 26, 27; 7.4) 12, 13. 14 Apr 24 8.1) 2, 4, 8, 12, 14, 22; 8.2) 6, 12, 14, 15.

### Attendance Policy

Students are required to attend all lectures.