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Lecture Notes



Lecture Notes

These lecture notes represent a summary of the topics discussed in class. Each lecture includes a list of homework problems from the assigned problem set which can be completed using the material from that session's lecture. The practice problems for each lecture are not to be written up or turned in. These are assigned only for practice, and are entirely voluntary.

All Lecture Notes in One File (PDF - 1.4 MB)


ses #TOPICS
1Velocity and Rates of Change (PDF)
2Slope and Derivative

Limits and Continuity (PDF)
3Differentiation Formulas: Products and Quotients (PDF)
4Chain Rule and Implicit Differentiation (PDF)
5The Derivatives of Exponential and Logarithm Functions (PDF)
6The Derivatives of Trigonometric Functions (PDF)
7Review for Exam 1 (PDF)
8Approximations (PDF)

Mean Value Theorem
9Curve Sketching (PDF)
10Max-Min Problems (PDF)
11Related Rates (PDF)
12Inequalities, Zeros, and Newton's Method (PDF)
13Differentials and Indefinite Integrals (PDF)
14Definite Integrals (PDF)
15The Fundamental Theorem of Calculus (PDF)
16Properties of Definite Integrals (PDF)
17Differential Equations and Separation of Variables (PDF)
18Numerical Integration and Review of Unit 3 (PDF)
19Areas between Curves, Volumes of Revolutions, and Slicing (PDF)
20Volumes by Shells and Average Values (PDF)
21Parametric Equations and Arc Length (PDF)
22Surface Area and Polar Coordinate Graphs (PDF)
23Area and Arc Length in Polar Coordinates (PDF)
24Inverse Trigonometric Functions and Hyperbolic Functions (PDF)
25Integration by Inverse Substitution (PDF)
26Integration by Partial Fractions (PDF)
27Integration by Parts (PDF)
28Indeterminate Forms and L'Hospital's Rule (PDF)
29Improper Integrals (PDF)
30Infinite Series (PDF)
31Power Series (PDF)
32-33Final Review (PDF)

 








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