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© Copyright 2006 by The University of Louisiana at Lafayette
Mathematics Department • University of Louisiana at Lafayette • 217 Maxim Doucet Hall • P.O. Box 41010 • Lafayette, LA 70504-1010 USA
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Our textbook concentrates on the most important topics of calculus with emphasis on the graphical and numerical representation of functions and other relations as well as the traditional use of symbolic formulas. The materials in our text are meant to be read thoroughly and carefully. The writing is plain and straightforward. Please include reading tomorrow's section in your assignment every day. The authors include several types of in-depth problems designed to develop conceptual understanding, rather than routine "drill" examples. The aim is to have you understand and apply the concepts, rather than mimic examples from the textbook. In this course, a graphing calculator is required for visualization and numerical computation.
| Lesson | Section/Topic | Assignment |
| 1 | 1.1 What Is a Function? 1.2 Linear Functions | 3, 4,
6-10, 14, 17, 20 3, 7, 9, 10, 11, 12, 13, 15 |
| 2 | 1.2 Linear Functions
(cont.) 1.3 Rates of Change |
18, 19, 20, 22, 23 1, 3, 5, 7, 8, 10, 12-16, 18, 21, 25 |
| 3 | 1.4 Applications of
Functions to Economics 1.5 Exponential Functions | 1, 3, 4, 7, 11, 16, 17, 19, 21, 22, 23,
24, 26, 27, 29, 30 1, 2, 5-9, 13, 17, 20 |
| 4 | 1.6 The Natural Logarithm
1.7 Exponential Growth and Decay | 3, 6, 12, 17-22, 25-28, 31-33, 40 1, 3, 4, 7, 10, 13, 15, 16, 18, 23, 24, 27 |
| 5 | 1.8 New Functions from
Old 1.9 Proportionality, Power Functions and Polynomials | 1, 3, 5, 6, 7, 12, 30 3, 4, 9, 12-16, 20, 29, 31, 33, 38 |
| 6 | REVIEW 2.1 Instantaneous Rate of Change |
1-7, 12, 13, 15, 18-21 |
| 7 | TEST 1 | Sections 1.1-1.9 |
| 8 | 2.2 The Derivative Function
2.3 Interpretations of the Derivative | 1, 2, 3, 6, 7, 10, 12, 13, 14, 18, 19, 22, 24, 25,
29, 30 2, 3, 4, 6, 8, 11-15, 18, 21-23 |
| 9 | 2.4 The Second Derivative
2.5 Marginal Cost and Revenue | 1, 3, 4, 6, 8, 9, 10-13, 15, 17, 18, 20, 24 1, 3, 4, 5, 7-12 |
| 10 | REVIEW 3.1 Derivative Formulas for Powers and Polynomials | 1, 5, 15, 18, 19, 22, 24, 25, 27, 28, 37, 38, 40, 44, 45, 46, 48, 51, 53-55 |
| 11 | TEST 2 | Sections 2.1-2.5 |
| 12 | 3.2 Exponential and
Logarithmic Functions 3.3 The Chain Rule | 1, 4, 9, 12, 16, 17, 19, 20, 24, 28, 31, 32, 33
3, 5, 7, 8, 12, 15, 21, 22, 26, 27, 33, 35, 36, 38, 41, 44, 45 |
| 13 | 3.4 Product and Quotient Rules | 1, 2, 7, 8, 12, 13, 14, 17, 20, 22, 24, 25, 27, 28, 35, 36, 37, 40, 41, 44 |
| 14 | Focus on Practice p.
173 4.1 Local Maxima and Minima | 5, 8, 10, 12-14, 20, 21, 30, 33, 38, 40-42, 52, 53,
55, 58 5, 8, 9, 12, 15-19, 21, 22 |
| 15 | 4.2 Inflection Points
4.3 Global Maxima and Minima | 3, 4, 5, 7, 8, 10, 13, 18, 19, 22, 23, 33 4, 5, 7, 9, 10, 13, 15, 17, 18, 23, 24, 30, 33, 37, 44 |
| 16 | 4.4 Profit, Cost, and
Revenue 4.5 Average Cost |
2, 4, 5, 7, 8, 10, 11, 13, 14, 15, 18 1-4, 6-10 |
| 17 | REVIEW 5.1 Distance and Accumulated Change | 1, 3, 6, 7, 9, 10, 15, 16, 18 |
| 18 | TEST 3 | Sections 3.1-3.4, 4.1-4.5 |
| 19 | 5.2 The Definite Integral | 1, 2, 4, 5, 7, 10, 11, 12, 14, 15, 20, 23, 25, 26, 29 |
| 20 | 5.3 The Definite Integral as Area | 1, 3, 4, 7, 8-16, 18, 19, 21, 23, 24, 25, 27, 30, 31 |
| 21 | 5.4 Interpretations of the
Definite Integral 5.5 The Fundamental Theorem of Calculus | 1, 2, 3, 6, 7, 8, 10-14 1, 2, 3, 4, 6, 7, 9, 11, 13 |
| 22 | 6.1 Average Value 6.3 Present and Future Value | 1, 2,
4, 8, 9, 12, 14, 15, 16, 19a, 21, 22 1, 3, 5, 11, 13 |
| 23 | 7.1 Constructing Antiderivatives Analytically | 18, 23, 30, 31, 33, 34, 36, 40, 42, 44-47, 50, 55, 63, 64, 65, 67, 68 |
| 24 | 7.3 Using the Fundamental
Theorem to Find Definite Integrals 7.4 Analyzing Antiderivatives Graphically and Numerically | 1, 2, 4, 7, 11, 13, 16, 26, 27, 29, 30, 35, 36
1-4, 16, 19, 22 |
| 25 | REVIEW | |
| 26 | TEST 4 | |
| 27 | REVIEW FOR FINAL | |
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