Mathematics 161A&D :: Fall 2005 :: 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 12 at 6:30pm.

Homework and Tests
[hw 01: solution] : 1.1#1,4,5,7; 1.1 #9,10,11,12,17,23a,24a
[hw 02: solution] : 1.2#7,8,12,13,17
[hw 03: solution] : 1.2#1,2,6,16a,22,24,25; 1.3#7,8,9,10,15,16,21,22
[hw 04: solution] : 1.4#1,4,6,7,10,13,14
[hw 05: solution] : 1.4#19,20,21,24,25,35,36(EC); 1.5#3,6,9,13
[quiz 1: solution]
[hw 06: solution] : 2.1#7,8,10,13a,15--19,24,25
[test 1: solution] : for Section A (8am)
[test 1: solution] : for Section D (12:30pm)
[hw 07: solution] : 2.2#4,11,17;
[hw 08: solution] : 2.3#1,4,5,8,9,12,15,20,21; 2.4#2,3,6,8,10,11,13,14,18,29
[hw 09: solution] : 2.5#2,4,5,8,10,12,13,14,51,54,56
[hw 10: solution] : 2.5#17,23,24,27,30,32,59
[hw 11: solution] : 2.6#13,14,15,18,20,41; 2.7#6,11,15,17,21
[hw 12: solution] : 2.7#22,27,32; p.217#6-10; 3.1#3,4,7-10,11-14
[hw 13: solution] : 3.1#15,21,23,49; p.217#3,4,5; 3.2#2,6,10,11; p.217#41,42,49
[hw 14: solution] : p.217#2,10,18,20,26,56(abe),64,82
[test 2: solution]
[hw 15: solution] : 3.3#9,10,13,14,15,16; #6,7,8,18,20,21(EC),47
[hw 16: solution] : 3.5#5,7,8,20a,22,28,31
[hw 17: solution] : 3.7#2,3,8; page 305#2,3,8 (practice exercises)
[hw 18: solution] : 4.1#5,6,10,12,15,19,21,27,32,38
[hw 19: solution] : 4.2#5,8,11,14,17,18,19,28
[test 3: solution] : for Section D (12:30pm)
[hw 20: solution] : 4.3#5,13,21
[quiz 2: solution]
[test 3: solution] : for Section A (8:00am)
[hw 21: solution] : 4.4#2,3,6,8,13,17,18,23,24,27,30,32
[hw 22: solution] : 4.5#3,4,6,9,10,12,15,16,20,21,33,34,37,51
[hw 23: solution] : 4.6#3a,4a,11,23,24,30,31,35,39
[hw 24: solution] : 4.7#3,10,12,19,20; page 217#7,13,17,41,87
[hw 25: solution] : 6.1#5,6,7,9,10,20,26,28,29,32,33,37
[hw 26: solution] : 6.1#59,61,62,67,69; 6.2#2,4,6,9,13,15
[test 4: solution] : for Section A (8:00am)
[hw 27: solution] : 5.1#7,10,15,18,19,34,35,45; 5.2#3,6,15,24
[hw 28: solution] : 5.3#2,3,9,11,21; 6.2#22,24,25,34,35,38,53
[hw 29: solution] : 5.4#3,6,10,11,15,19; 6.3#2,5,8,9,13,23,25,34
[quiz 3: solution]

Handouts, Demonstrations, etc.
[demo] : 1.5 - Tangent Lines
Tutorials for the Calculus Phobe : Product Rule, Quotient Rule, Chain Rule
[sept 23 : handout]
Chain Rule Demo
Related Rates Tutorial
Derivative Puzzle
Derivative and the Tangent Line
Tim Pennings & Elvis
Newton method : sqrt(2)
Newton method : furman
[4.4 : Riemann Sums; demo]
[4.5 : FTOC, Part I; demo 1]
[4.5 : FTOC, Part I; demo 2]
[demo] : 5.1 - Volumes by Slicing

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