Syllabus for Math 140

Fall Term 2005 9:50 MWF Mr. Gregg

Course Description and Objectives

Math 140 begins the calculus sequence at Lawrence. In this course we will study the mathematical concepts of limit and derivative, and begin our study of the integral. Although I will be putting a heavy emphasis on understanding underlying concepts, we will still be spending a considerable amount of time studying practical calculation techniques and applications in a variety of fields.

How this Course is Structured

We will meet three times a week for lectures. The lectures will usually cover the important ideas in one or more sections in the text. My feeling about lectures is that they should give an overview of the material in the sections and provide context and guidance for your learning of the material. What this means is that you will need to attend the lectures and read the text.

After each lecture I will assign homework problems. Between the end of that lecture and the start of the next, you should read the section yourself and do the homework problems. I will collect the homework each week and have it graded. Because my lectures often will not cover all of the material in a particular section, you will need to read the section carefully yourself before doing the exercises. If you have trouble with one or two of the problems, don’t worry too much. I will usually spend the first ten or fifteen minutes of class going over those problems that caused trouble. If you find yourself having trouble with more than just one or two problems in a section, come see me.

We will have three midterm exams and a final exam. Midterm exams are scheduled for October 7, October 28, and November 16. The final will be on December 6 at 8:30 AM.

Grading Policy

Assignments and exams have the following weights:

Homework - 20% Midterm exams - 17% each Final exam - 29%

Textbook

Our text is Calculus, Early Transcendentals, Fifth Edition by James Stewart.

Office Hours

My office hours this term are 8:30-9:40 MWF, 2:50-3:40 MWF and 1:30-3:30 TTh. You are welcome to stop in at other times as well, but please call first. My office is Briggs 413. My extension is 6736 and my email address is greggj@lawrence.edu.

Office hours are meant to be an integral part of your learning experience in this course. Please do not put off coming to see me until you are completely confused or lost. I expect to be able to help you with more pedestrian difficulties and to do so with some regularity. By all means, if there is some idea in the text or in lecture that you are struggling with, please come see me.

Course Web Site

The course web site is at http://www.lawrence.edu/fast/greggj/math140.html. The web site will feature lecture notes and other supplementary materials.

Schedule of Lectures and Exams

Date Topic Sections
9/21 Exponential and Logarithmic Functions 1.5, 1.6
9/23 Introduction to Limits 2.1, 2.2
9/26 Calculating Limits 2.3
9/28 Continuity 2.5
9/30 Limits at Infinity 2.6
10/3 The Derivative 2.7, 2.8
10/5 The Derivative 2.8, 2.9
10/7 First Midterm
10/10 Derivatives of Polynomials and Exponentials 3.1
10/12 Product and Quotient Rules 3.2
10/14 Derivatives of Trigonometric Functions 3.4
10/17 Chain Rule 3.5
10/19 Implicit Differentiation 3.6
10/21 Higher Derivatives 3.7
10/24 Derivatives of Logariths, Linear Approximation 3.8, 3.11
10/26 Review
10/28 Second Midterm
10/31 Maximum and Minimum Values 4.1
11/2 Mean Value Theorem, L’Hôpital’s Rule 4.2, 4.4
11/7 Graphing 4.3
11/9 Graphing, Optimization Problems 4.5, 4.7
11/11 Newton’s Method 4.9
11/14 Review
11/16 Third Midterm
11/18 Areas and Distances 5.1
11/21 The Definite Integral 5.2
11/28 Fundamental Theorem of Calculus 5.3
11/30 Antiderivatives, Fundamental Theorem 4.10, 5.3
12/2 Review

Date	Topic	Sections
9/21	Exponential and Logarithmic Functions	1.5, 1.6
9/23	Introduction to Limits	2.1, 2.2
9/26	Calculating Limits	2.3
9/28	Continuity	2.5
9/30	Limits at Infinity	2.6
10/3	The Derivative	2.7, 2.8
10/5	The Derivative	2.8, 2.9
10/7	First Midterm
10/10	Derivatives of Polynomials and Exponentials	3.1
10/12	Product and Quotient Rules	3.2
10/14	Derivatives of Trigonometric Functions	3.4
10/17	Chain Rule	3.5
10/19	Implicit Differentiation	3.6
10/21	Higher Derivatives	3.7
10/24	Derivatives of Logariths, Linear Approximation	3.8, 3.11
10/26	Review
10/28	Second Midterm
10/31	Maximum and Minimum Values	4.1
11/2	Mean Value Theorem, L’Hôpital’s Rule	4.2, 4.4
11/7	Graphing	4.3
11/9	Graphing, Optimization Problems	4.5, 4.7
11/11	Newton’s Method	4.9
11/14	Review
11/16	Third Midterm
11/18	Areas and Distances	5.1
11/21	The Definite Integral	5.2
11/28	Fundamental Theorem of Calculus	5.3
11/30	Antiderivatives, Fundamental Theorem	4.10, 5.3
12/2	Review