Calculus 2:

Integrals

• Riemann Sums and Trapezoidal Sums to calculate area under a curve
• Integration Rules for all functions using Indefinite Integrals
• Fundamental Theorem of Calculus 1 and 2
   – definite integrals
   – derivative of an integral
• Integration using Partial Fractions, Integration by Parts, and Improper Integrals
• Trig Substitution
• Advanced Trigonometric Integration

Application of Integrals

•  Area between curves
• Finding Volume using known cross sections
• Solids of Revolution (finding volume using the disk and washer methods)
• Particle Motion

Differential Equations

• Separable Differential Equations
• Slope Fields and Growth and Decay

Polar Functions

• Slope and Arc Length
• Area of Polar Functions

Parametric and Vector Functions

• Slope and Arc Length
• Horizontal and Vertical Tangents
• Particle Motion

Sequences and Series

•  Sequences
• Convergence and Divergence for Infinite Series (9 series tests)
• Radius and Interval of Convergence
• Taylor Polynomials and Expansions
• Error and Lagrange Error Bound