Department of Mathematics

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