1. Differentiation

	Power rule
	General power rule
	Product rule
	Quotient rule
	Chain rule
	Derivative of trigonometric functions (sine, cosine, tangent, secant, cosecant)
	Derivative of exponential and logarithm functions
	Implicit Differentiation
	Logarithmic Differentiation
	Partial derivatives of functions of two or more variables

2. Integration

	Fundamental theorem (statement, not proof)
	Power rule
	Integral involving sine and cosine
	Integral involving exponential or logarithm functions
	Antiderivative
	Definite integrals and area
	Integration by substitution
	Integration by parts
	Integration by first performing algebraic simplification
	Integral giving rise to logarithm functions

Very Important Topics:

	Finding critical points
	First and second derivative tests
	Finding inflection points
	Solving optimization problems (not problems related to inventory control)
	Exponential growth and decay
	Area bounded by curves
	Improper integrals
	Separation of variables in differential equations
	Lagrange multipliers for functions of two or three variables
	Expected value and variance of a random variable (discrete and continuous)

Important Topics:

	Computing limits
	Finding tangent line at a point
	Graphing functions
	Continuous interest
	Volume of solid of revolution
	Average value of a function
	Second derivative test for functions of two variables
	Properties of sine and cosine
	Calculating probability
	Exponential density function

Less Important Topics:

	Marginal revenue, cost and profit
	Consumers' surplus and producers' surplus
	Future value of a continuous income stream
	Least squares
	Production functions in economics
	Level curves
	Properties of sine and cosine
	Integration involving tangent, cosecant, secant and cotangent functions
	Present value of a continuous income stream
	Constant solution of a differential equation

Related Topics:

	Calculation of derivative using limit definition
	Optimization problems related to inventory control
	Compound interest
	Riemann sum
	Total population in a ring around the city center
	Normal random variables