MTH125E Fall 2013 Syllabus

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MTH125F Fall 2013 Syllabus

Week	Dates			Text Section	Topic(s)	Suggested Problems
1		8/29	8/30	1.1	Four ways to represent a function	4, 7-10, 13, 25, 27-30, 32, 34, 43, 44, 49, 55, 59, 62*
				1.2	Essential functions	4, 5, 8*, 14
2	9/3	9/5	9/6	1.3	New functions from old	1, 2, 3, 4, 6, 7, 10, 15, 23, 42, 43, 53
				1.5	Exponential Functions	12, 15, 19, 22, 19, 30
				1.6	Inverse Functions and Logarithms	1, 2ac, 8, 23, 25, 35, 36, 40, 55, 57
3	9/10	9/12	9/13	2.1	Tangent and Velocity Problems	5
				2.2	Limits	1, 3, 4, 7, 8, 18*, 29, 33
				2.3	Limit Laws	1, 3, 12, 19, 20, 21, 26, 27, 38, 39, 63*
				2.4	Precise Definition of a Limit	1, 4, 13, 15, 16
4	9/17	9/19	9/20	2.4	Precise Definition of a Limit (continued)
				2.5	Continuity	3, 5, 12, 19, 34, 40, 47, 53, 54
				2.6	Limits at Infinity	2, 4, 7, 15, 17, 22, 23, 25, 28, 41, 58, 66
				2.7	Derivatives and Rates of Change	3ab, 4ab, 5, 7, 13, 21, 27, 30*
5	9/24	9/26	9/27	2.8	The Derivative as a Function	1, 3, 4, 9, 14, 16, 21, 22, 37, 45*
				3.1	Derivatives of Polynomials and Exponentials	3, 4, 5, 8, 10, 13, 21, 23, 30, 32, 34, 48ab, 51, 55, 59, 78
				-	Review
				Exam I Friday, September 27th (Chapters 1 and 2)
6	10/1	10/3	10/4	3.2	Product and Quotient Rules	1, 3-7, 11, 18, 22, 26, 27, 41, 43, 46, 53*
				3.3	Trigonometric Derivatives	1, 2, 4, 8, 12, 18, 22, 33, 37*
				3.4	The Chain Rule	1, 2, 3, 5, 7, 9, 11, 16, 19, 31, 37, 34, 41, 42, 53, 61, 72
7	10/8	10/10	10/11	3.5	Implicit Differentiation	5,7,8,12,16,17,19,24,29,37,47,51
				3.6	Derivatives of Logs	2,6,11,19,29,33
				3.7	Rates of Change in Science	5, 9, 11
				3.8	Exponential Growth and Decay	1, 3, 9, 13
8		10/17	10/18	3.9	Related Rates	6^th: 2, 4, 6, 10, 13, 15, 21, 40*
				3.10	Linear Approximation and Differentials	5, 9, 11, 23, 25, 27, 31, 33
				3.11	Hyperbolic Functions	1, 7, 31, 32
9	10/22	10/24	10/25	-	Review
				Exam II Thursday, October 24th (Chapter 3)
				4.1	Maxima and Minima	1, 3, 7, 29, 33, 35, 41, 47, 49, 53
10	10/29	10/31	11/1	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	11/5	11/7	11/8	4.5	Curve Sketching	1, 6, 9, 19
				4.7	Optimization	3, 5, 9, 10, 17, 22, 30, 50
12	11/12	11/14	11/15	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	11/19	11/21	11/23	5.2	The Definite Integral	2, 5a, 17, 19, 29, 38, 42, 50
				5.3	The Fundamental Theorem of Calculus	5, 8, 11, 13, 14, 19, 24, 35, 40, 44, 53
14	11/26	11/28 No Classes	11/29 No Classes	5.4	Indefinite Integrals	2, 6, 9, 27, 33
15	12/3	12/5	12/6	5.5	Substitution	2, 5, 8, 16, 17, 21, 26, 42, 46, 52, 63
				N/A	Review
				Exam III Friday December 6th (Chapter 4; Sections 5.1, 5.2, and 5.3)
16	12/10			N/A	Review
Final Exam Thursday December 19th 1:30 PM Student Union 104