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Class Notes

Part 1

Section 1.1: Approximating Areas Under Curves

Section 1.2: The Definite Integral

Section 1.3: The Fundamental Theorem of Calculus

Section 1.4: The Net Change Theorem

Section 1.5: Integration by Substitution

Section 1.6: Integrals of Exponentials and Logs

Section 1.7: Integrals Resulting in Inverse Trig Functions

Part 2

Section 2.1: Areas Between Curves

Section 2.2: Volumes by Slicing & Volumes of Revolution

Section 2.3: Volumes of Revolution: Cylindrical Shells

Section 2.4:Arc Length and Surface Area

Section 2.5: Physics Applications: Density & Work

Section 2.9: Hyperbolic Functions

Part 3

Section 3.1: Integration by Parts

Section 3.2: Trigonometric Integrals

Section 3.3: Trigonometric Substitution

Section 3.4: Integration by Partial Fractions

Section 3.7: Improper Integrals

Section 3.6: Numerical Integration