Mathematics 159A :: Fall 2007 :: Differential and Integral Calculus

Instructor: Michael Bolt, 292 North Hall, x6-6719, mbolt@calvin.edu.

This course serves as an introduction to calculus. Topics include: functions, limits, derivatives, applications of derivatives, integrals, and applications of integrals. Historical and philosophical aspects of calculus are integrated with the development of the mathematical ideas, providing a sense of the context in which calculus was developed.
Important Dates

There will be four in-class tests on the following days:

The final exam will be Tuesday, December 11 at 1:30pm.

Problem Sets (arranged by due date)

[PS 01] Frid,, Sept 07: 1.1#2,3,4,5,6,7,13,14,17,18
[PS 02] Wed., Sept 12: 1.1#19,20,23,24,57,58; 1.2#49
[PS 03] Frid., Sept 14: 1.3#13,14,15,16,55,56 ; 1.4#7,8,13,14,19,29,3,5,21; 1.5#1-6,35,47
[PS 04] Wed., Sept 19: 2.1#1,4,7,8
[PS 05] Frid., Sept 21: 2.2#2,3,4,5,6;14-22,33,37,41
[PS 06] Wed., Sept 26: 2.4#2,3,5,8,12,16
Suggested review problems for Midterm 1: Review 1
[PS 07] Wed., Oct. 03: 2.4#43,45,55,56,58,62,65; 2.5#4,5,13,17,18,21,31
[PS 08] Frid., Oct. 05: 2.6#1,2,3,4,6,7,16,17,18,39,40,46,47
[quiz 3: solutions]
[PS 09] Wed., Oct. 10: 2.7#7,11
[PS 10] Frid., Oct. 12: 3.1#1,3,13,27-30
[quiz 4: solutions]
Suggested review problems for Midterm 2: Review 2
[test 2: solutions]
[PS 11] Thrs., Oct. 18: 3.2#1,4,7,10,12,14,15,18,19,21,27,30,32,36,47,48
[PS 12] Mond., Oct. 22: 3.4#2,3,6,8,10,11,14,18,29
[PS 13] Frid., Oct. 26: 3.5#2,4,5,14,18,22,24,35,42,49,55,67,73
[PS 14] Wed., Oct. 31: 3.3#1,6,8,16; 3.6#1,3,4,8
[PS 15] Fri., Nov. 02: 3.6#10,12,15,23
[PS 16] Wed., Nov. 07: 3.7#16,19,21,22,25,28,32,34,35,70,71,72,73; 3.8#21,24,25,27,30,33,34,37,41,45
Suggested review problems for Midterm 3: Review 3
[test 3: solutions]
[PS 17] Wed., Nov. 14: 3.9#6,11,13,15,17,21,22
[PS 18] Frid., Nov. 16: 3.10#1,2,11,13,15,17
[quiz 7: solutions]
[PS 19] Wed., Nov. 21: 4.1#3,4,7-10,11-14; 39,41,46
[PS 20] Wed., Nov. 28: 4.2#2,5,10,28,32,45; 4.3#3,4,6,13,15,18,21,47
[PS 21] Fri., Nov. 30: 4.4#1,2,11,16,67,71
Suggested review problems for Midterm 4: Review 4
[PS 22] Thur., Dec. 06: 4.5#5,7,8,20a; 28,29,31

Handouts, Demonstrations, etc.

[2.1: Tangent line; demo]
[2.4: End behavior model; example]
Tutorials for the Calculus Phobe : Product Rule, Quotient Rule, Chain Rule
[3.1: Derivative demo]
[3.1b: Derivative demo]
Derivative Puzzle
Derivative and the Tangent Line



You can view and use geogebra (.ggb) files using the free program Geogebra, available at http://www.geogebra.at/.
You can view notebook (.nb) files using the free program MathReader, available at http://www.wolfram.com/products/mathreader/.
Additional Links