Continue down the road to mastering calculus with this step-by-step guide to Calculus II, taught by an award-winning Professor of Mathematics.
Understanding Calculus II: Problems, Solutions, and Tips
Overview
Syllabus
- By This Professor
- 01: Basic Functions of Calculus and Limits
- 02: Differentiation Warm-up
- 03: Integration Warm-up
- 04: Differential Equations-Growth and Decay
- 05: Applications of Differential Equations
- 06: Linear Differential Equations
- 07: Areas and Volumes
- 08: Arc Length, Surface Area, and Work
- 09: Moments, Centers of Mass, and Centroids
- 10: Integration by Parts
- 11: Trigonometric Integrals
- 12: Integration by Trigonometric Substitution
- 13: Integration by Partial Fractions
- 14: Indeterminate Forms and L'Hopital's Rule
- 15: Improper Integrals
- 16: Sequences and Limits
- 17: Infinite Series-Geometric Series
- 18: Series, Divergence, and the Cantor Set
- 19: Integral Test-Harmonic Series, p-Series
- 20: The Comparison Tests
- 21: Alternating Series
- 22: The Ratio and Root Tests
- 23: Taylor Polynomials and Approximations
- 24: Power Series and Intervals of Convergence
- 25: Representation of Functions by Power Series
- 26: Taylor and Maclaurin Series
- 27: Parabolas, Ellipses, and Hyperbolas
- 28: Parametric Equations and the Cycloid
- 29: Polar Coordinates and the Cardioid
- 30: Area and Arc Length in Polar Coordinates
- 31: Vectors in the Plane
- 32: The Dot Product of Two Vectors
- 33: Vector-Valued Functions
- 34: Velocity and Acceleration
- 35: Acceleration's Tangent and Normal Vectors
- 36: Curvature and the Maximum Bend of a Curve
Taught by
Bruce H. Edwards
