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MTH125E Fall 2012 Syllabus

WeekDatesText
Section
Topic(s)Suggested Problems
1   8/30 8/31 1.1Four ways to represent a function 6th: 2, 5-8, 11, 21, 23*-25, 28, 30, 37, 38, 43*, 49*, 53*, 56*
7th : 4, 7-10, 13, 25, 27*-30, 32, 34, 43, 44, 49*, 55*, 59*, 62*
1.2Essential functions 6th: 4, 5, 8*, 14
7th : 4, 5, 8*, 14
2 9/4 9/6 9/7 1.3New functions from old 6th: 1, 2, 3, 4, 6*, 7*, 11, 15, 24, 42, 43*, 53*
7th : 1, 2, 3, 4, 6*, 7*, 10, 15, 23, 42, 43*, 53*
1.5Exponential Functions 6th: 7, 11, 15, 18, 19, 26
7th : 12, 15, 19, 22, 19, 30
1.6Inverse Functions and Logarithms 6th: 1, 2ac, 6, 23, 25, 33, 34, 38, 51, 53
7th : 1, 2ac, 8, 23, 25, 35, 36, 40, 55, 57
3 9/11 9/13 9/14 2.1Tangent and Velocity Problems 6th and 7th : 5
2.2Limits 6th: 1, 3, 4, 7, 8, 16*, 25, 29
7th: 1, 3, 4, 7, 8, 18*, 29, 33
2.3Limit Laws 6th: 1, 3, 12, 18, 19, 22, 26, 27*, 36, 37, 61**
7th: 1, 3, 12, 19, 20, 21, 26, 27*, 38, 39, 63**
2.4Precise Definition of a Limit 6th and 7th : 1, 4, 13, 15*, 16*
4 9/18 9/20 9/21 2.4Precise Definition of a Limit (continued) 
2.5Continuity 6th: 3, 5, 10*, 17, 30*, 36*, 43*, 49*, 50*
7th: 3, 5, 12*, 19, 34*, 40*, 47*, 53*, 54*
2.6Limits at Infinity6th : 2, 4, 7, 15, 17, 22, 23, 25, 28, 41, 58*, 66*
7th : 2, 4, 7, 15, 17, 22, 23, 25, 28, 41, 58*, 66*
2.7Derivatives and Rates of Change6th : 3ab, 4ab, 5, 7, 13*, 21, 27*, 30*
7th : 3ab, 4ab, 5, 7, 13*, 21, 27*, 30*
5 9/25 9/27 9/28 2.8The Derivative as a Function6th: 1, 3, 4, 9, 14, 16, 19*, 20*, 35, 41*
7th: 1, 3, 4, 9, 14, 16, 21*, 22*, 37, 45*
3.1Derivatives of Polynomials and Exponentials6th: 3, 4, 5, 8, 10, 15, 21*, 23*, 30*, 32*, 34, 50ab, 52*, 55*, 59**, 78**
7th: 3, 4, 5, 8, 10, 13, 21*, 23*, 30*, 32*, 34, 48ab, 51*, 55*, 59**, 78**
-Review
Exam I Friday, September 28th (Chapters 1 and 2)
6 10/2 10/4 10/5 3.2Product and Quotient Rules6th: 1, 3-7, 11, 18*, 22*, 26*, 27, 41, 43*, 46*, 51**
7th: 1, 3-7, 11, 18*, 22*, 26*, 27, 41, 43*, 46*, 53**
3.3Trigonometric Derivatives6th: 1, 2, 6, 10, 13, 18*, 22, 33, 37**
7th: 1, 2, 4, 8, 12, 18*, 22, 33, 37**
3.4The Chain Rule6th: 1, 2, 3, 5, 7, 9, 11, 18, 22, 29, 32*, 34*, 41**, 42**, 53, 61*, 70*
7th: 1, 2, 3, 5, 7, 9, 11, 16, 19, 31, 37*, 34*, 41**, 42**, 53, 61*, 72*
7   10/11 10/12 3.5Implicit Differentiation6th: 1,5,7,12,19,24,27,35,43,47
7th: 5,7,8,12,16,17,19,24,29,37,47,51
3.6Derivatives of Logs6th: 2, 7, 16, 20*, 29, 33
7th: 2,6,11,19,29,33
3.7Rates of Change in Science6th: 5, 9, 11
7th: 5, 9, 11
3.8Exponential Growth and Decay 6th: 1, 3, 9, 13
7th: 1, 3, 9, 13
8 10/16 10/18 10/19 3.9Related Rates6th: 2, 4, 6, 10*, 13*, 15, 21*, 38**
7th: 2, 4, 6, 10*, 13*, 15, 21*, 40**
3.10Linear Approximation and Differentials 6th: 5, 9, 11, 23, 25, 27, 31, 33
7th: 5, 9, 11, 23, 25, 27, 31, 33
3.11Hyperbolic Functions6th: 1, 7, 31, 32
7th: 1, 7, 31, 32
9 10/23 10/25 10/26 -Review 
Exam II Thursday, October 25th (Chapter 3)
4.1Maxima and Minima 1, 3, 7, 29, 33, 35*, 41*, 47, 49, 53
10 10/30 11/1 11/2 4.2Mean Value Theorem 1, 11, 15, 17*
4.3Derivatives and Graphs 1, 5*, 8*, 9, 12, 33, 45, 72**, 73**
4.4Indeterminate Forms and L'Hospitals Rule 1-4, 5, 9, 16, 18*, 40, 43*, 51*, 53*, 59*, 69**, 70**
11 11/6 11/8 11/9 4.5Curve Sketching1, 6, 9, 19
4.7Optimization3, 5, 9, 10, 17, 22, 30, 50
12 11/13 11/15 11/16 4.8Newton's Method5, 11, 15
4.9Antiderivatives1, 4, 5, 12, 15, 21, 29, 35, 51
5.1Areas and Distances1a, 4b, 20, 22
13 11/20 11/22
No
Classes
11/23
No
Classes
5.2The Definite Integral2, 5a, 17, 19, 29, 38, 42, 50
14 11/27 11/29 11/30 5.3The Fundamental Theorem of Calculus5, 8, 11, 13, 14, 19, 24, 35, 40, 44, 53
Exam III Friday November 30th
(Chapter 4; Sections 5.1, 5.2, and 5.3)
15 12/4 12/6 12/7 5.4Indefinite Integrals2, 6, 9, 27, 33
5.5Substitution2, 5, 8, 16, 17, 21, 26, 42, 46, 52, 63
16 12/12     N/AReview 
Final Exam Thursday December 20th 1:30 PM Duffy 220