Mathematics 161A :: 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 common final exam will be Monday, December 10 at 6:30pm.

Problem Sets (arranged by due date)

[PS 01] Frid,, Sept 07: 2.1#1,4,7,8; 2.2#2,3,5,6
[PS 02] Tue., Sept 11: 2.2#14-22,37,41,55,56; 58,61,65
[PS 03] Frid., Sept 14: 2.4#2,3,5,16,17,52,55,62; 2.5#5,11,18,21,34
[quiz 1: solutions]
[PS 04] Tue., Sept 18: 2.6#1-4,6,7,16,17,18,39,40; 46,47
[PS 05] Frid., Sept 21: 2.7#7,11; 3.1#1,3,13,27-30; 3.2#1,4,7,10,12,14,15
[quiz 2: solutions]
[PS 06] Tue., Sept 25: 3.2#18,19,21,27,30,32,36,47,48; 3.3#1,8,16
Suggested review problems for Midterm 1: Review 1
[PS 07] Frid., Sept 28: 3.4#2,3,6,8,10,11,14,18,29
[PS 08] Tue., Oct 02: 3.5#2,4,5,14,18,22,24,35,42,49,55,67,73; 3.6#1,2,3,8,12,33
[PS 09] Frid., Oct 05: 3.7#16,19,21,22,25,28,32,34,35,70,71,72,73; Derivative Droodle
[quiz 3: solutions]
[PS 10] Tue., Oct 09: 3.8#21,24,25,27,30,33,34,37,41,45*; 3.10#2,11,13
[quiz 4: solutions]
[PS 11] Frid., Oct 12: 3.9#6,11,13,15,17; 21,22
[PS 12] Tue., Oct 16: page 228#6-10; 4.1#3,4,7-10,11-14; 39,41,46
[quiz 5: solutions]
Suggested review problems for Midterm 2: Review 2
[test 2: solutions]
[PS 13] Mond., Oct 22: 4.2#2,5,10,28,32,45
[PS 14] Frid., Oct 26: 4.3#3,4,6,13,15,18,47; 4.4#1,2,11,16,67,71
[PS 15] Tues., Oct 30: 4.5#5,7,8,20a; 28,29,31; handout
[PS 16] Frid., Nov 02: 4.6#4,6,13,14,17,21,26,44,45,46,62; 4.7#2,3,8
[PS 17] Tues., Nov 06: 4.8#2,9,27,30,35,36,46,47; 5.1#5,12,13,19
Suggested review problems for Midterm 3: Review 3
[test 3: solutions]
[PS 18] Tues., Nov 13: 5.2#2,3,8,14,15,17; 3.1#7; 3.3#2,12 5.3#6,7,10,11,15,17,19,40,42,43,48,49
[PS 19] Frid., Nov 16: 5.4#1,2,7,8,15,16,29,31,57,58; 23,25,33,34,35,37,43,75,77
[PS 20] Tue., Nov 20: 5.5#9,10,13,19,22,25,30,49,52,65; 5.6#4,7,13,25,39,53,54,55,58
[PS 21] Tue., Nov 27: 5.7#5,6,19,22,31,36,47; 6.1#5,8,15,19,34,35
[PS 22] Wed., Nov 28: 6.2#3,6,15
[PS 23] Mon., Dec 03: 6.3#1,4,11,18,21a; 6.6#2,3,7,10,15,19
Suggested review problems for Midterm 4: Review 4
[test 4: solutions]

Handouts, Demonstrations, etc.

[2.1: Tangent line; demo]
[2.4: End behavior model; example]
[2.7: Tangent line; demo]
[3.1: Derivative demo]
[3.2: Derivative example]
Tutorials for the Calculus Phobe : Product Rule, Quotient Rule, Chain Rule
Derivative Puzzle
Derivative and the Tangent Line
Newton method : sqrt(2)
Newton method : minnesota
Newton method : furman
[5.1: lower-upper sums example]
[5.4: FTOC-Part 1 example]
[6.1: Volumes by slicing example]
[6.3: Arc length demo]


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