11:00-12:10
Monday-Wednesday-Friday, IC 310
Syllabus –
PDF File
POWER POINT
PRESENTATIONS
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Chapter 1: Functions and Limits
Section 1.4: The Tangent and Velocity Problems
Tangent Line Handout (PDF File)
A Tangent Line Applet
Section 1.5:
The Limit of a Function
Section 1.6:
Calculating Limits Using Limit Laws
Section 1.7:
The Precise Definition of a Limit
Section 1.8:
Continuity
Chapter 2: Derivatives
Section 2.1:
Derivatives and Rates of Change
Section 2.2:
The Derivative as a Function
Section 2.3:
Differentiation Formulas
Section 2.4:
Derivatives of Trigonometric Functions
Section 2.5:
The Chain Rule
Section 2.6:
Implicit Differentiation
Section 2.8: Related Rates
Additional
Related Problems (PDF File)
Section 2.9:
Linear Approximations and Differentials
Chapter 3: Applications of Differentiation
Section 3.1:
Maximum and Minimum Values
Section 3.2:
The Mean Value Theorem
Section 3.3:
How Derivatives Affect the Shape of a Graph
Section 3.4:
Limits and Inifinity; Horizontal Asymptotes
Section 3.5:
Summary of Curve Sketching
Notes for Section 3.5
(PDF File)
Section 3.7:
Optimization Problems
Section 3.8:
Newton's Method
Section 3.9:
Antiderivatives
Appendixes
Appendix E:
Sigma Notation
Chapter 4: Integrals
Section 4.1:
Areas and Distances
Handout for Section
4.1 (PDF File)
Section 4.2:
The Definite Integral
Section 4.3:
The Fundamental Theorem of Calculus
Section 4.4:
Indefinite Integrals and the Net Change Theorem
Section 4.5:
The Substitution Rule
Chapter 5: Applications of Integration
Section 5.1:
Areas between Curves
Examples for Section 5.1 (PDF File)
Section 5.2:
Volumes
Examples for Section 5.2 (PDF File)
Applet
for Solids of Revolution (Method of Disks/Washers)
Section 5.3:
Volumes by Cylindrical Shells
Examples for Section 5.2 (PDF File)
Handout Comparing the Disk and Shell
Methods (PDF File)
Section 5.5:
Average Value of a Function