$\newcommand{\diff}{\,\text{d}}$

Calculus

PDF icon In which it is determined whether a sequence converges
PDF icon Find the area enclosed by four curves three different ways
PDF icon In which the flux of a vector field over a closed surface is computed directly
PDF icon The same flux problem as above except that the divergence theorem is used instead
PDF icon Find the volume of a solid with given base and cross sections.
PDF icon Find the arc length of a parametric curve between two points
PDF icon In which a line integral is used to compute the mass of a rod whose density varies along its length.
PDF icon Lagrange multipliers
PDF icon Using Green's Theorem to calculate a line integral about a closed region
PDF icon Convergence of power series

Calculus notes

PDF icon 1.1: A Preview of Calculus
PDF icon 1.2: Finding Limits Graphically and Numerically
PDF icon 1.3: Evaluating Limits Analytically
PDF icon 1.4: Continuity
PDF icon 1.5: Infinite Limits
PDF icon 2.1: The Derivative and the Tangent Line Problem
PDF icon 2.2: Basic Differentiation Rules and Rates of Change
PDF icon 2.3: Product and Quotient Rules and Higher-Order Derivatives
PDF icon 2.4: The Chain Rule
PDF icon 2.5-2.6: Implicit Differentiation and Related Rates
PDF icon 3.1-3.4: Extrema, Concavity, and the Mean Value Theorem
PDF icon 3.5-3.9: Infinite limits, Curve Sketching, Optimization, Newton's Method, Differentials
PDF icon 4.1-4.2: Antiderivatives and Area Integrals
PDF icon 4.3-4.6: Riemann Sums and the Fundamental Theorem of Calculus
PDF icon 5.1-5.3: The Natural Logarithm and Inverse Functions
PDF icon 5.4-5.8: Exponential Functions, Inverse Trig Functions, and Hyperbolic Functions