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Calculus I with Applications -- Fall 1996

Mon Tue Wed Thu Fri
Aug 26
 27
 28
Introduction
Sections 1.1, 1.3
What's a Function?
Exponential Functions 		29
Meet in the PC lab
Windows 95 Tutorial
Maple New User's Tour 		30
Sections 1.4, 1.5
Power Functions
Inverse Functions
Sep 2

Labor Day Recess		 3
Group Problem
Presentations
Section 1.8
Notes on Compound Interest 		4
Sections 1.7, 1.9
The Number e and Natural Logarithms
New Functions from Old
 5
Maple labs		 6

Skills Exam
9
Section 1.10
The Trigonometric Functions 		10
Group Problem
Presentations
Section 1.10
The Trigonometric Functions 		11
Section 2.1
How Do We Measure Speed? 		12
Maple labs		 13
Section 2.3
The Derivative Function
2.4 Hwk Assigned
16
Section 2.4
Interpretations of the Derivative
Go over 2.4 homework for
most of the class. 		17
Group Problem
Presentations		 18
Catch up
Review 		19
Maple labs		 20

Essay Exam
23
Section 2.5 The Second Derivative 		24
Sections 2.6, Read 2.7, 2.8
Approximations and Local Linearity 		25
Sections 3.1, 3.2
How Do We Measure Distance Traveled?
The Definite Integral
 26
Maple labs		 27
Section 3.2 The Definite Integral
30
Section 3.3
The Definite Integral as Area and Average 		1
Group Problem
Presentations 		2
Section 3.4
The Fundamental Theorem of Calculus! 		3
Maple labs		 4
Sections 4.1, 4.2
Formulas for Derivative Functions
Powers and Polynomials
Oct 7
Sections 4.3
The Exponential Function 		8
Group Problem
Presentations 		9
Section 4.4
The Product and Quotient Rules 		10
Maple labs		 11
Section 4.5
The Chain Rule
14
Sections 4.6, 4.7
The Trigonometric Functions
Applications of the Chain Rule
Read 4.8, 4.9 		15
Group Problem
Presentations 		16
Section 5.1
Using the First Derivative 		17

Maple
Skills Exam 		18

Fall Break
21
Section 5.2
Using the Second Derivative 		22
Group Problem
Presentations 		23
Sections 5.3
Families of Curves 		24
Maple labs		 25
Section 5.4 Economic Applications
28
Section 5.5, 5.6, 5.7
Newton's Method 		29
Group Problem
Presentations 		30
Catch Up
Review 		31
Maple labs		 1

Skills Exam
Nov 4
Section 6.1
The Definite Integral Revisited 		5
Section 6.2
Properties of the Definite Integral 		6
Section 6.3
Constructing Anti-derivatives Graphically and Numerically 		7
Maple labs		 8
Section 6.4
Constructing Antiderviatives Algebraically
11
Section 6.5
Why Acceleration? 		12
Group Problem
Presentations 		13

Essay Exam 		14
Maple labs		 15
Section 7.1
Antiderivatives and the Fundamental Theorem
18
Sections 7.2, 7.3
Integration by substitution 		19
Group Problem
Presentations 		20
Section 7.4
Integration by parts 		21
Maple labs		 22
Section 7.6
Approximating Definite Integrals
25
Section 7.7
Approximation Errors and Simpson's Rule 		26
Group Problem
Presentations 		27
Curvature and Geometry 		28
Thanksgiving Recess		 29
Dec 2
Section 7.8
Improper Integrals 		3
Section 8.1
Setting up Riemann Sums 		4
Section 8.2
Applications to Geometry 		5
Maple labs		 6

Skills Exam
9
Section 8.3
Applications to Physics		 10
Group Problem
Presentations 		11
Section 8.4
Applications to Economics 		12

Maple
Skills Exam 		13
Review
16
 17
 18
Final Exam
8:00-10:00 a.m. 		19
 20