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Precalculus          Business Calculus     Calculus I    Calculus II   Calculus III

All Classes

Scientific Notation

Using a graphing calculator (basics) (TI-84, but the 83 would be the same thing)

Using the table feature of a calculator

Properties of exponents

Negative exponents

Precalculus

Properties of logarithms

Completing the square

Trigonometry

Properties of logarithms

Revenue, Cost, & Profit example (including break-even)

Linear regression

Basic idea of a limit

Calculating a limit by factoring

Evaluating limits at infinity

Definition of the derivative

Basic Derivatives

Finding equations of tangent line (don't watch the last example!)

Marginal Analysis

Finding extrema graphically

Finding critical values

Concavity

Derivatives of Average Cost and Profit functions

Integration with u-substitution

Average value of a function

Calculus I

Basic idea of a limit

Calculating a limit by factoring

Calculating a limit using common denominators

Squeeze Theorem

Evaluating limits at infinity

Limits at infinity involving a radical

Intermediate Value Theorem

Definition of the derivative

Basic Derivatives

Finding equations of tangent line

Product Rule

Quotient Rule

Finding extrema graphically

Concavity

Differentials and approximations

Definite Integral (as area under curve) and using Riemann sums and finishing the Riemann sums example

Fundamental Theorem of Calculus Part I

Area between two curves

Average value of a function

Work

Calculus II

Derivatives of exponential functions

Logarithmic differentiation

Derivatives of inverse trig functions

Integrals of inverse trig functions

L'Hospital's Rule (basic 0/0 or ∞/∞)

L'Hospital's Rule (0×∞)

L'Hospital's Rule (∞-∞)

L'Hospital's Rule (involving powers)

Integration by parts and harder problems and the hardest type of problem and another integration by parts with more examples

Integrating with trig substitution and another example

Completing the square

Integration by partial fractions and a harder one

Improper integrals

Summation notation

Areas in polar coordinates

Calculus III