Honors Calculus Study Guide
The final will cover material from chapters 1,2,3,4 and parts of 5 and 6.
Ch 1:
Linear equations
Domain and range
Trig and unit circle
Ch 2:
Limits, limits, limits.
End behavior
Graph analysis
Continuity
Ch 3:
Slopes of tangents and secants
THE DERIVATIVE
Rates of change, velocity, acceleration
The Chain Rule
Implicit Differentiation
Ch 4:
First and second derivative tests. Increasing, decreasing, cc up cc down, inflection
local and global max and min, critical points.
Mean Value Theorem
Optimization
Related rates
Ch 5 and 6:
RAM
Antiderivatives
Definite and indefinite integrals
u-substitution
Area under a curve
Area between two curves.
Average value