Review Calculus I (1 week)

Limits, Continuity, Derivatives

Riemann Sums and Fundamental Theorem of Calculus

Integrals and u-Substitution

Transcendental Functions (3 weeks)

Derivative of Inverse Function

Logarithmic and Exponential Functions

Separable Differential Equations/ Laws of Growth and Decay

Inverse Trigonometric Functions

Indeterminate Forms and l'Hôpital's Rules

Techniques of Integration (2 weeks)

Integration By Parts

Trigonometric Integrals

Trigonometric Substitution

Partial Fraction Decomposition

Improper Integrals and Their Applications

Infinite Sequences and Series (3 weeks)

Sequences

Series

Positive-Term Series

Ratio and Root Tests

Alternating Series/Absolute Convergence

Tests for convergence

Power series

Maclaurin and Taylor series

Parametric Equations (1 week)

Parametric Equations

Arc Length

Polar Coordinates