MTH125F Fall 2011 Syllabus

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MTH125F Fall 2011 Syllabus

Week	Dates			Text Section	Topic(s)	Suggested Problems
1		9/1	9/2	1.1	Four ways to represent a function	6^th: 2, 5-8, 11, 21, 23-25, 28, 30, 37, 38, 43, 49, 53, 56*
						7^th : 4, 7-10, 13, 25, 27-30, 32, 34, 43, 44, 49, 55, 59, 62*
				1.2	Essential functions	6^th: 4, 5, 8*, 14
						7^th : 4, 5, 8*, 14
2	9/6	9/8	9/9	1.3	New functions from old	6^th: 1, 2, 3, 4, 6, 7, 11, 15, 24, 42, 43, 53
						7^th : 1, 2, 3, 4, 6, 7, 10, 15, 23, 42, 43, 53
				1.5	Exponential Functions	6^th: 7, 11, 15, 18, 19, 26
						7^th : 12, 15, 19, 22, 19, 30
				1.6	Inverse Functions and Logarithms	6^th: 1, 2ac, 6, 23, 25, 33, 34, 38, 51, 53
						7^th : 1, 2ac, 8, 23, 25, 35, 36, 40, 55, 57
3	9/13	9/15	9/16	2.1	Tangent and Velocity Problems	6^th and 7^th : 5
				2.2	Limits	6^th: 1, 3, 4, 7, 8, 16*, 25, 29
						7^th: 1, 3, 4, 7, 8, 18*, 29, 33
				2.3	Limit Laws	6^th: 1, 3, 12, 18, 19, 22, 26, 27, 36, 37, 61*
						7^th: 1, 3, 12, 19, 20, 21, 26, 27, 38, 39, 63*
				2.4	Precise Definition of a Limit	6^th and 7^th : 1, 4, 13, 15, 16
4	9/20	9/22	9/23	2.4	Precise Definition of a Limit (continued)
				2.5	Continuity	6^th: 3, 5, 10, 17, 30, 36, 43, 49, 50
						7^th: 3, 5, 12, 19, 34, 40, 47, 53, 54
				2.6	Limits at Infinity	6^th : 2, 4, 7, 15, 17, 22, 23, 25, 28, 41, 58, 66
						7^th : 2, 4, 7, 15, 17, 22, 23, 25, 28, 41, 58, 66
				2.7	Derivatives and Rates of Change	6^th : 3ab, 4ab, 5, 7, 13, 21, 27, 30*
						7^th : 3ab, 4ab, 5, 7, 13, 21, 27, 30*
5	9/27	9/29	9/30	2.8	The Derivative as a Function	6^th: 1, 3, 4, 9, 14, 16, 19, 20, 35, 41*
						7^th: 1, 3, 4, 9, 14, 16, 21, 22, 37, 45*
				3.1	Derivatives of Polynomials and Exponentials	6^th: 3, 4, 5, 8, 10, 15, 21, 23, 30, 32, 34, 50ab, 52, 55, 59, 78
						7^th: 3, 4, 5, 8, 10, 13, 21, 23, 30, 32, 34, 48ab, 51, 55, 59, 78
				-	Review
				Exam I Friday, September 30th (Chapters 1 and 2)
6	10/4	10/6	10/7	3.2	Product and Quotient Rules	6^th: 1, 3-7, 11, 18, 22, 26, 27, 41, 43, 46, 51*
						7^th: 1, 3-7, 11, 18, 22, 26, 27, 41, 43, 46, 53*
				3.3	Trigonometric Derivatives	6^th: 1, 2, 6, 10, 13, 18, 22, 33, 37*
						7^th: 1, 2, 4, 8, 12, 18, 22, 33, 37*
				3.4	The Chain Rule	6^th: 1, 2, 3, 5, 7, 9, 11, 18, 22, 29, 32, 34, 41, 42, 53, 61, 70
						7^th: 1, 2, 3, 5, 7, 9, 11, 16, 19, 31, 37, 34, 41, 42, 53, 61, 72
7		10/13	10/14	3.5	Implicit Differentiation	6^th: 1,5,7,12,19,24,27,35,43,47
						7^th: 5,7,8,12,16,17,19,24,29,37,47,51
				3.6	Derivatives of Logs	6^th: 2, 7, 16, 20*, 29, 33
						7^th: 2,6,11,19,29,33
				3.7	Rates of Change in Science	6^th: 5, 9, 11
						7^th: 5, 9, 11
				3.8	Exponential Growth and Decay	6^th: 1, 3, 9, 13
						7^th: 1, 3, 9, 13
8	10/18	10/20	10/21	3.9	Related Rates	6^th: 2, 4, 6, 10, 13, 15, 21, 38*
						7^th: 2, 4, 6, 10, 13, 15, 21, 40*
				3.10	Linear Approximation and Differentials	6^th: 5, 9, 11, 23, 25, 27, 31, 33
						7^th: 5, 9, 11, 23, 25, 27, 31, 33
				3.11	Hyperbolic Functions	6^th: 1, 7, 31, 32
						7^th: 1, 7, 31, 32
9	10/25	10/27	10/28	-	Review
				Exam II Thursday, October 27th (Chapter 3)
				4.1	Maxima and Minima	1, 3, 7, 29, 33, 35, 41, 47, 49, 53
10	11/1	11/3	11/4	4.2	Mean Value Theorem	1, 11, 15, 17*
				4.3	Derivatives and Graphs	1, 5, 8, 9, 12, 33, 45, 72, 73
				4.4	Indeterminate Forms and L'Hospitals Rule	1-4, 5, 9, 16, 18, 40, 43, 51, 53, 59, 69, 70*
11	11/8	11/10	11/11	4.5	Curve Sketching	1, 6, 9, 19
				4.7	Optimization	3, 5, 9, 10, 17, 22, 30, 50
12	11/15	11/17	11/18	4.8	Newton's Method	5, 11, 15
				4.9	Antiderivatives	1, 4, 5, 12, 15, 21, 29, 35, 51
				5.1	Areas and Distances	1a, 4b, 20, 22
13	11/22	11/24 No Classes	11/25 No Classes	5.2	The Definite Integral	2, 5a, 17, 19, 29, 38, 42, 50
14	11/29	12/1	12/2	5.3	The Fundamental Theorem of Calculus	5, 8, 11, 13, 14, 19, 24, 35, 40, 44, 53
				Exam III Friday December 2nd (Chapter 4; Sections 5.1, 5.2, and 5.3)
15	12/6	12/8	12/9	5.4	Indefinite Integrals	2, 6, 9, 27, 33
				5.5	Substitution	2, 5, 8, 16, 17, 21, 26, 42, 46, 52, 63
16	12/13			N/A	Review
FINAL EXAM				MTH125-F	Final Exam: Thursday, December 15th 1:30PM Duffy 207