Prof. Vladimir Dobrushkin
Department of Mathematics
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Syllabus

Intermediate Calculus with Analytic Geometry Spring 2010 MTH142

The following calendar gives a timetable for the course. Your class may be slightly behind or ahead at any given time.

Below is the calendar and syllabus

Some of these may be done in class, others as homework. You should attempt them all. (Note: In the problem lists, a notation like 3-9 means that all the problems 3,4,5,6,7,8,9 are assigned.)

Calendar

Week of
Events
Topis
Week of
Events
Topic
Jan 25 Gateway Exam 1,2
Mar 22
Spring Break  
Feb 1   3.4
Mar 29
Exam II, 3/31 20,21
Feb 8   5,6
Apr 5
  22,23,24
Feb 15 No class 2/15 7,8
Apr 12
  25,26,27
Feb 22 Exam I, 2/24 9,10
Apr 19
  28,29
Mar 1   11,12,13
Apr 26
Exam III, 4/27 30
Mar 8   14,15,16
May 3
Last class 5/3  
Mar 15   17,18,19      

Syllabus

 Topic  Outcomes  Reading Suggested Problems  WileyPlus
1 Substitution in integrals Sec 7.1 3-35 odd, 47-65odd, 69, 77, 79, 95, 103 1 -- 22
2 Integration by parts Sec 7.2 7-25 odd,31,33, 37,39, 47,49 1 -- 14
3 Using tables of integrals Sec 7.3 7, 11, 13, 17,21, 29 1 -- 16
4 Algebraic and Trig substitutions Sec 7.4 1-5, 8-12, 20, 21, 23, 55 1.4: 1 -- 12, 1.5: 1 -- 7
5 Numerical Integrqation 7.5, 7.6 7.5/ 1-6,9, 11,15-19; 7.6/2, 3*, 5,6 Exam 1, Feb 20
6 Imptoper Integrals Sec 7.7   1 -- 9
7 Comparison of improper integrals Sec 7.8   1 -- 15
8 Araes and Volumes Sec 8.1   1 -- 15
9 More on Volumes Sec 8.2    
10 Parametric Curves and Arc Length 4.8, 8.2    
11 Polar Coordinates Sec 8.3   Exam 2: Mar 27
12 Mass and Density Sec 8.4   3.1: 1 -- 30; 3.2: 1 -- 26
13 Compound Interest Sec 8.5   1 -- 36
14 Distributions and Densities Sec 8.7   1 -- 22
15 Probability Sec 8.8   1 -- 36
16 SEquences Sec 9.1   Exam 3, Apr 29
  Final exam     at 8:00am