Mathematics 161A&D :: Fall 2006 :: 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 11 at 6:30pm.

Problem Sets (arranged by due date)

Frid,, Sept 08: 2.1#1,4,7,8; 2.2#2,3,5,6
Tue., Sept 12: 2.2#14-22,37,41,55,56,58,69a; 2.4#2,3,5
Frid., Sept 15: 2.4#16,17,52,55,62; 2.5#5,11,18,21,34
Tue., Sept 19: 2.6#1-3,6,7,16,17,18,39,40,46,47
Frid., Sept 22: 2.7#7,11; 3.1#1,3,13,27-30; 3.2#1,4,7,10,12,14,15
Tue., Sept 26: 3.2#17,19,21,27,30,32,36,47,48; product rule handout
Frid., Sept 29: 3.4#2,3,6,8,10,11,14,18,29
Tue., Oct 03: 3.5#2,4,5,14,18,22,24,35,42,49,55,67; 3.6#1,2,3,8,12,32
Frid., Oct 06: 3.7#16,19,22,25,28,32,34,35,70,71; 3.8#21-45 (multiples of 3); Derivative Droodle
Tue., Oct 10: 3.10#2,11,13; 3.5#95-100; 3.9#6,11,15,17
Frid., Oct 13: 3.9#21,22,27,32; Page 228#6-10; 4.1#3,4,7-10,11-14
Tue., Oct 17: Page 228#3-5,86; 4.1#23,47; 4.2#2,5,10,28,32
Fri., Oct 27: 4.3#3,4,6,15,18,21,47; 4.4#1,2,11,16,67,71; 4.5#5,7,8,20a
Tue., Oct 31: 4.5#28,29,31; 4.6#4,6,13,14,17,26,44,46,62
Thr., Nov 02: 4.7#2,3,8; Page 307#4,7; 4.8#2,9,27,30,35,36,46,47
Tue., Nov 07: 4.8#43,44,56,78,83; 5.1#5,12,13,19
Frid., Nov 10; 5.2#2,3,8,14,15; handout
Tue., Nov 14: 5.3#6,7,10,11,15,17,19,40,42,43,48,49,56,59; 5.4#1,2,7,8,15,16,29,31,57,58
Frid., Nov 17; 5.4#23,25,33,34,35,37,43,75,77; 5.5#9,10,13,19,22,25,30,49,52
Wed., Nov 22: 5.6#4,7,13,25,39,53,54,55,58
Tue., Nov 28: 5.7#5,6,19,22,36,47; 6.1#5,8,15,18,19,34,35
Frid., Dec 01: 6.2#3,6,15,24; 6.3#1,4,11,18,21(a)
Tue., Dec 05 6.6#2,3,7,10,15,19

[midterm 3: solutions]
[midterm 4: solutions]

Handouts, Demonstrations, etc.
[2.1: Tangent line; demo]
[2.4: End behavior model; example]
[3.1: Derivative demo]
Tutorials for the Calculus Phobe : Product Rule, Quotient Rule, Chain Rule
[product rule handout: solutions]
[midterm 1: solutions]
Related Rates Tutorial
Derivative Puzzle
Derivative and the Tangent Line
[midterm 2: solutions]
Tim Pennings & Elvis
Newton method : sqrt(2)
Newton method : furman
[5.1; lower-upper sums example]
[6.1; volumes by slicing examples]
[6.2; volumes by shells]


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