Topics for midterm 1

• Functions: Numerical, Graphical, Formula, and Verbal
• Average rate of change - Instantaneous Rate of Change
• Secant Lines - Tangent Lines
• Limits - Numerical, Graphical, and Formula
• Limit Laws
• Infinite Limits - Vertical Asymptotes
• Limits as x goes to plus or minus infinity - Horizontal Asymptotes
• Continuity - Formal definition
• Continuity based on graphs and formulas
• The Derivative at a point

Topics for midterm 2

• Derivative rules
• Implicit Differentiation
• Derivative of an inverse function - inverse trig.
• Logarithmic differentiation
• Related rates
• Max/Min
• local and global optima
• 1st and 2nd derivative test
• Mean Value Theorem
• Graph and Derivative
• Increasing/Decreasing
• Concave up/down
• Applied Optimization

New topics for final

• Anti-derivatives / Indefinite Integrals
• Reimann Sums - Left, and right sums
• Over and underestimates
• The Fundamental Theorem of Calculus