MTH 35, Spring 2017
Math 35
Syllabus
The departmental syllabi, as well as review materials are available in the Math department webpage: Math 35 Description
Note that the textbook we're using is different.
Textbook
We will be using: Vector Calculus (6th ed.), by J. Marsden and A. Tromba. There is a copy of the older 5th edition of the book, in reserve at the library. The 5th eidtion is also suitable, but we'll be officially following the 6th edition.
For the linear algebra part we'll losely follow A First Course in Linear Algebra, by Robert Beezer. The book is freely available online in the address above.
Plan of the class
| Date | Topic | Suggested Homework |
|---|---|---|
| Thursday February 2 | Euclidean Spaces, 1.1, 1.2 | 1.1: 11,13,15,18 |
| 1.2: 7,9,11 | ||
| Tuesday February 7 | Cross product and Determinants,1.3 | 1.3: 2,3,7, 11, 15 |
| Tuesday February 14 | Linear subspaces, Span | |
| Thursday February 16 | Systems of Linear Equations | |
| Tuesday February 20 | Linear independence, bases, dimension | |
| Thursday February 22 | Linear transformations, matrices | |
| Tuesday February 28 | Range and Kernel, rank and nullity | |
| Thursday March 2 | Inverse | |
| Tuesday March 7 | Eigenvalues | |
| Thursday March 9 | First Exam | |
| Tuesday March 14 | SNOW DAY | |
| Thursday March 16 | Differentiation, 2.3, 2.4, 2.5 | Page 115: 5-12, 17-20 |
| Page 124: 19-22 | ||
| Page 132: 3,6,15,18,22 | ||
| Tuesday March 21 | Constrained optimization, 3.4 | Page 201: 1-12, 21, 31 |
| Thursday March 23 | 3.4 Continued, 3.5 | |
| Tuesday March 28 | Implicit Function Theorem 3.5 | Page 210: 1-3, 5, 9, 19 |
| Thursday March 30 | Vector Valued Functions, Ch. 4 | Page 227: 1,3 |
| Page 234: 1,3 | ||
| Page 243: 11-14, 15, 17, 24 | ||
| Page 258: 1-15 odd, 29, 33 | ||
| Tuesday April 4 | Multiple integrals, Ch. 5 | Page 288: 1,5 |
| Page 293: 3,14 | ||
| Page 302: 11,16,17,18,21 | ||
| Thursday April 6 | Change of variables, Ch. 6 | Page 58: 3,8 |
| Page 313: 1,5-8 | ||
| Page 326: 3,4,10,11,19,23,25,32 | ||
| SPRING BREAK | ||
| Tuesday April 25 | Path Ingegrals, 7.1 | Page 356: 9-12, 15, 21 |
| Line Integrals, 7.2 | Page 373: 3-6, 17-20 | |
| Thursday April 27 | Parametrized Surfaces, 7.3 | Page 381: 1-6, 9-11, 19-21 |
| Area of a surfac, 7.4 | Page 391: 1, 4, 5, 9, 11 | |
| Tuesday May 2 | Surface integrals I, 7.5 | Page 398: 1, 2, 4, 9, 11, 13, 14, 23-25 |
| Surface integrals II, 7.6 | Page 410: 1,3, 7-13 odd | |
| Thursday May 4 | Green's Theorem, 8.1 | Page 437: 9-23 odd |
| Stoke's Theorem, 8.2 | Page 450: 7-19 odd, 29, 31, 33 | |
| Tuesday May 9 | Conservative Fields, 8.3 | Page 459: 5-11, 16, 17, 19, 28 |
| Thursday May 11 | Gauss' Theorem, 8.4 | Page 474: 1-11 odd, 15, 20, 22, 28 |
| Tuesday May 16 | Differential Forms, 8.5 | Page 439: 1-4, 6-8 |
| Thursday May 18 | REVIEW | |
| Friday May 19 | REVIEW |
Grades
Your grade in this class will be determined as follows: There will be homework, two in-class midterms, taking a whole session each, and a final exam. The homework counts for 20% of your grade, the midterms count cumulatively for 40% and the final exam counts for the remaining 40%. In sum:
| Homework | 20% |
| Tests | 40% |
| Final | 40% |
Homework
Homework will be suggested after every class. You can see that in the lesson plan above. Additionally, at the end of every week, I will be giving homework that you have to turn in.
Exams
Links
Note: This page is going to be updated regularly to reflect possible changes in the schedule and to include links to quizzes, handouts, reviews, etc. You should be checking this page regularly (at least once a week).