Text: Applied Calculus, second edition, by Hughes-Hallett, Gleason, Lock, Flath, et al., John Wiley & Sons, Inc.

Calculator: A graphing calculator is required for this course. The Math Department highly recommends and provides support for the TI-83+ and TI-84+ models.

It should be noted that Math 125 satisfies the Quantative Reasoning Requirement$ the University Undergraduate Council: Quantitative Reasoning (2 courses): In today's world, arguments and claims often rely for support on scientific studies and statistical evidence. Students should possess the mathematical and quantitative skills to evaluate such evidence. Furthermore, students should possess the skills both to recognize the quantitative dimension of problems and to use mathematical reasoning to formulate and solve the problem. Finally, students need strong quantitative skills because they are indispensable in managing everyday-life situations. This requirement may be completed by either (1) taking two math or statistics courses from the list below, or (2) taking one math course from the list and one course designated in the undergraduate catalog as having a quantitative component (Q). Math 110, 115, 123, 125, 141, 142, 147, 148, 151, 152, 202 Stat 201, 207.

Note:All students must take the final exam!

Web supplements:  To request for eGrade to set up a course for your class click here.
 

lecture	section	topic: suggested homework problems
1	1.3	Rates of Change:  5,6,7,8,9,13,15,16,21,22,24,26,27,30
2	1.4	Applications of Functions to Economics: 2,3,4,5,9,13,15,19,21,23,24,26
3	1.5	Exponential Functions:  1,3,4,5,7,9,10,11,13,15,24
4	1.6	The Natural Logarithm: 3,5,9,11,17,19,22,25,36
5,6	1.7	Exponential Growth and Decay: 4,5,6,7,8,9,10,13,16,19,20,26
7		Review Chapter 1
8	2.1	Instantaneous Rate of Change: 2,3,4,5,6,9,13,15,16,18,19,23
9,10	2.2	The Derivative Function: 1,2,3,4,5,7,8,9,11,12,13,14,15,16,19,21,23,24,25,26
11	2.3	Interpretations of the Derivative: 1,3,6,9,11,12,13,17,19,20,21,23
12	2.4	The Second Derivative:  1,3,4,7,9,11,13,15,16,17,18,19,23
13	2.5	Marginal Cost and Revenue:  1,2,3,5,6,10,11,12,13
14		Review Chapter 2
15		Exam 1
16	3.1	Derivative Formulas for Powers and Polynomials: 1,5,9,13,14,16,17,18,19,27,31,35,38,39,41,42,45,49
17	3.2	Exponential and Logarithmic Functions (differentiation): 1,4,7,9,11,15,16,21,25,26,31,33
18	3.3	The Chain Rule:  3,6,7,11,13,15,17,18,21,23,29,34,37,40
19	3.4	The Product and Quotient Rules:  3,6,8,13,15,16,17,18,19,22,23,24,25,26,27,32,35,37,38
20		Focus on Practice, p. 163:  1,3,5,7,9,10,12-17,21,22,29,31,33,37,38,41,45,48,50,53,55
21	4.1	Local Maxima and Minima: 1,3,7,8,11,16,17,24,26
22	4.2	Inflection Points: 1,3,5,7,9,11,12,13,14,16,18,24
23	4.3	Global Maxima and Minima: 1,3,5,7,9,11,13,17,19,21
24,25	4.4	Profit, Cost and Revenue: 2,3,4,5,6,7,8,9,13,14
26	4.5	Average Cost: 1,2,3,4,7,9,10,11,13
27		Review Chapters 4 and 5
28		Exam 2
29	5.1	Accumulated Change: 1,2,3,7,8,13,14,16,18
30,31	5.2	The Definite Integral: 1,5,6,7,8,11,13,15,16,24,25,26
32	5.3	The Definite Integral as Area: 1,3,5,7,9,12,14,17,22,23,25,27
33,34	5.4	Interpretations of the Definite Integral: 1,2,5,7,10,11,15,16,17,18
35	5.5	The Fundamental Theorem of Calculus:  1,3,4,5,7,8
36		extra day: Project 1, Carbon Dioxide in Pond Water, page 250 (if time allows)
37	6.2	Consumer and Producer Surplus: 1,2,4,5,7,8
38	7.1	Constructing Antiderivatives Analytically: 1,5,7,9,11,13,14,15,27,29,33,35,37,38,39,41,43,47
39		Review Chapter 5, 6.2, 7.1
40		Exam 3
41	7.3	Using the Fundamental Theorem to Find Definite Integrals:  3,5,6,7,9,11,12,13,14,15,17,25,28,32,33
42	7.4	Analyzing Antiderivatives Graphically and Numerically: 1,2,3,4,5,9,10,12,14,18,22,23,24
43		Review for final exam
exam day		COMPREHENSIVE FINAL

• Math 125 Basic Calculus at UTK Home Page
• Information for the Math 125 Basic Calculus Instructor

Mathematics Department, University of Tennessee, Knoxville

This document was last modified 08/05/02.