Math 254 , Au 2009

Instructor: Rodica D. Costin

This web page is updated after each lecture. It contains the topics covered and other announcements (written homework due, interesting web resources, bonus problems, exam review guide, etc.).

The general course policy, as seen in the hand-out, is found at General Information (page which will not be changed).

Do take advantage of the Tutoring offered at MSLC.

W Sept. 23 Topics covered: Sec. 14.1.

F Sept. 25 Topics covered: Sec. 14.2

M Sept. 28 Topics covered: Sec. 14.3 part 1 (partial derivatives, geometric interpretation, implicit differentiation).

Homework write-ups due in recitation on Tuesday Sept. 28: HW1
Sec 14.1 # 8, 40, 60
Sec 14.2 # 8, 12, 36, 38
Sec 14.3 # 18, 24, 32, but: 50, 57 REMARK: problems 50, 57 should be left for next week.

W Sept. 30 Sec. 14.3 part 2: derivatives for functions of more variables, higher derivatives, partial differential equations. Besides examples like the ones in the textbook we solved problem 71 and 72.

F Oct. 2 Sec. 14.4

Homework #2:
section 14.3: #50, #57, #69.
section 14.4: #4, #14, #17, #29.
section 14.5: #12, #28, #51.

M Oct. 5 Sec. 14.5

W Oct. 7 Sec. 14.5 - more examples

F Oct. 9 Sec. 14.6

Review problems for Exam 1 Please look over the problems by Monday. The solutions will be discussed in lecture.

M Oct. 12 Review

W Oct. 14 Exam 1

F Oct. 16 Sec. 14.7

M Oct. 19 Problems from Sec. 14.7

W Oct. 21 14.8. We solved examples like Ex. 1,2,3. Please look over the other examples. too. See an example with two constraints.

Homework 3:
* 14.7: 11, 17, 27, 33
* 14.8: 5, 11, 19
* 15.1: 3, 9, 13
It's due on Tuesday.

F Oct. 23 One more example from 14.8 (like Ex. 4). Sec. 15.1. Read Example 1.

M Oct. 26 Sec. 15.2

W Oct. 28 Sec. 15.3

F Oct. 30 Sec. 15.3 - we solved problems 9, 25, 27, 28 and we have discussed symmetry and similarity

the homework problems are:
15.2 12, 26, 32.
15.3 6, 18, 44, 55.
15.4 10, 16, 26, 30.

due on Thursday

M Nov. 2 Sec. 15.4, and problems 12, 19, 22, Also look over 32 and the exmples in the textbook.

W Nov. 4 Sec. 15.5: density and mass, moments, center of mass, improper integrals (definition of the integral on the full plane, the calculation of the integral on the real line of exp(-x^2)). Please read moments of inertia and propbability.

F Nov. 6 Sec. 15.6

M Nov. 9 Sec. 15.7

W Nov. 11 No classes

F Nov. 13 Review of Sec. 14.7 to 15.7 See some Review problems and their solutions.

M Nov. 16 Exam II covers Sec. 14.7 to 15.7

W Nov. 18 Sec. 15.8. We also solved problem 35, and PLEASE do look over 38. We also discussed the change of coordinates from 15.9.

F Nov. 20 Sec. 16.1 and we started Sec. 16.2. Please look over Examples 1-4 and problems 1-8.

Plan:

M Nov. 23 Sec. 16.2 continued.

W Nov. 25 Sec. 16.3

F Nov. 27 Thanksgiving weekend

M Nov. 30 Sec. 16.4

W Dec. 2 more examples from Sec. 16.4

F Dec. 4 Review