Calculus
In which it is determined whether a sequence converges
Find the area enclosed by four curves three different ways
In which the flux of a vector field over a closed surface is computed directly
The same flux problem as above except that the divergence theorem is used instead
Find the volume of a solid with given base and cross sections.
Find the arc length of a parametric curve between two points
In which a line integral is used to compute the mass of a rod whose density varies along its length.
Lagrange multipliers
Using Green's Theorem to calculate a line integral about a closed region
Convergence of power series
Calculus notes
1.1: A Preview of Calculus
1.2: Finding Limits Graphically and Numerically
1.3: Evaluating Limits Analytically
1.4: Continuity
1.5: Infinite Limits
2.1: The Derivative and the Tangent Line Problem
2.2: Basic Differentiation Rules and Rates of Change
2.3: Product and Quotient Rules and Higher-Order Derivatives
2.4: The Chain Rule
2.5-2.6: Implicit Differentiation and Related Rates
3.1-3.4: Extrema, Concavity, and the Mean Value Theorem
3.5-3.9: Infinite limits, Curve Sketching, Optimization, Newton's Method, Differentials
4.1-4.2: Antiderivatives and Area Integrals
4.3-4.6: Riemann Sums and the Fundamental Theorem of Calculus
5.1-5.3: The Natural Logarithm and Inverse Functions
5.4-5.8: Exponential Functions, Inverse Trig Functions, and Hyperbolic Functions