## Online Calculus Course

Choose a unit to get started

##### Unit 1: Limits and Continuity

Introduction to limits, Limits from graphs, Evaluating limits, Limits at infinity, Piecewise functions, Continuity, Intermediate Value Theorem, Limit definition of derivative

##### Unit 2: The Derivative

Rules of differentiation, Chain rule, Trig derivatives, Slope of a tangent line, Higher order derivatives, Graphs of derivatives

##### Unit 3: Advanced Derivatives

Implicit differentiation, Inverse functions, Inverse trig derivatives, Derivatives of exponential and logarithmic functions, Logarithmic differentiation

##### Unit 4: Applications of Derivatives

Particle motion, Critical values, First and second derivative tests, Absolute and relative extrema, Mean value theorem, Optimization, Related rates, Local linear approximations, L'Hospital's rule

##### Unit 5: The Integral

Riemann sums, The fundamental theorem of calculus, Properties of integrals, Definite vs indefinite integrals, Rules of integration, U-substitution

##### Unit 6: Applications of Integrals

Particle motion, Area between curves, Differential equations, Average value theorem, Disc and washer method for finding volume, Shell method