PREREQ. REVIEW

Graphing 
Trigonometry 
Graphing Calculator 
Exponential Function Review 
Logarithmic Function Review 
UNIT 1 
Limits of Functions 
Limits Containing Trigonometric Functions 
Continuity & 1Sided Limits 
Intermediate Value Theorem 
Infinite Limits 
Limits to Infinity 
UNIT 2 
Limit Definition of Derivative 
Differentiability 
Basic Differentiation Rules 
Average & Instantaneous Rate of Change 
Product & Quotient Rules 
Chain Rule 
Implicit Differentiation 
Related Rates 
UNIT 3 
Differentiation of Exponential Functions 
Differentiation of Logarithmic Functions 
Inverse Functions & Slope 
Differentiation of Inverse Trigonometric Functions 
L'Hopitals Rule 
UNIT 4 
Extrema on an Interval 
Rolle’s Theorem & Mean Value Theorem(MVT) 
Inc./Dec. Functions & The 1st Derivative Test 
Concavity & the Second Derivative Test 
Linearization and Tangent Line Approximation 
Optimization 
UNIT 5 
Area of a Region using Left/Right/Mp/Trap. Sums 
The Definite Integral and Riemann Sums 
Antidifferentiation & Indefinite Integration 
Differential Equations and Slope Fields 
Applications of the Definite Integral 
The 1st and 2nd Fundamental Theorem of Calculus 
The Mean Value Theorem for Integrals 
UNIT 6 
Integration by Substitution 
Logarithmic Functions and Integration 
Integration of Exponential Functions 
Inverse Trig. Functions and Integration 
UNIT 7 
Area of a Region Between Curves 
Volume of Rotational Solids(Disc and Washer Method) 
Volume of Known Cross Sections 
Volume of Rotational Solids(Shell Method)* 
Arc Length & Area of Surfaces of Revolution* 
UNIT 8 
Other Methods of Integration* 
Integration by Parts* 