Currently covering in Math 75	Will cover with the early transcendentals book
Four ways to represent a function
Mathematical models: a catalog of essential functions
New functions from old functions
	Exponential functions
	Inverse functions and logarithms
The tangent and velocity problems
The limit of a function
Calculating limits using the limit laws
Continuity
	Limits at infinity; horizontal asymptotes
Tangents, velocities, and other rates of change
Derivatives
The derivative as a function
Differentiation formulas	Derivatives of polynomials and exponential functions
	The Product and quotient rules
Rates of change in the natural and social sciences
Derivatives of trigonometric functions
The chain rule
Implicit differentiation
Higher derivatives
	Derivatives of the logarithmic functions
Related rates
Linear approximations and differentials
Maximum and minimum values
The mean value theorem
How derivatives affect the shape of a graph
Limits at infinity; horizontal asymptotes
	Indeterminate forms and L'Hospital's rule
Summary of curve sketching
Optimization problems
Newton's method
Antiderivatives
Areas and distances
The definite integral
The fundamental theorem of calculus
Indefinite integrals and the net change theorem
The substitution rule
Areas between curves
Volumes
Volumes by cylindrical shells
Average value of a function