May 19, 2013
Mr. Rudolph
Unit 1- Prerequisites of Calculus "A Quick Review"
Day 1- Introductions, Review of lines, Interval Notation, Calculator
Skills
Day 2- Review Trig, Review logarithms, Transformations on functions
Unit 2- Limits
Day 1- Def of Limit, Limits based on graphs
Day 2- Calculating Limits, Piece Wise Defined Limits, Limits as they go to
Infinity, End Behavior Models
Day 3- Finish Limits as they go to infinity, Continuity
Day 4- Limits and Continuity of Trig Functions
Unit 3- Derivatives
Day 1- Average values, Definition of a Derivative
Day 2- Alternate Definition of a Derivative, Graphs of Derivatives
Day 3- Differentiation Rules
Day 4- More Differentiation Rules
Day 5- Trig Derivatives
Day 6- Chain Rule
Day 7- Chain Rule (Multiple Substitutions)
Day 8- Implicit Differentiation
Day 9- Related Rates
Day 10- Related Rates
Day 11-Local Linear Approximations, Differentials
Day 12- Review Derivatives
Day 13- Test
Unit 4- Applications of Derivatives
Day 1- Increasing, Decreasing, Concavity
Day 2- First and Second Derivative Test
Day 3- Graphs
Day 4- Motion
Day 5- Motion
Day 6- Extreme Values
Day 7,8- Maximum and Minimum Situations
Day 9- Newton's Method
Day 10- Mean Value Theorem, Rolle's Theorem
Day 11- Review
Day 12- Test
Unit 5- Integration
Day 1-Estimating with Sums
Day 2- Trapezoidal Rule, The Integral
Day 3- Practice Integration
Day 4- Integration By Substitution
Day 5- Integration by Substitution, Initial Value Problems
Day 6- Definite Integrals
Day 7- Fundamental Theorem of Calculus
Day 8- Motion, Average Value
Day 9- Integrals by Substitution, Review
Day 10- Test
Unit 6- Applications of Integration
Day 1- Area between Two curves
Day 2- Volumes- Discs and washers
Day 3- Volumes - revolutions about other axis
Day 4- Volumes of Arbitrary Solids
Day 5- Integrals as an Accumulation
Unit 7- Exponential, Logarithmic, and Inverse Trigonometric Functions
Day 1- Review of functions
Day 2- Derivatives of Exponential and Logarithmic Functions
Day3- Integrals of Exponential and Logarithmic Functions
Day 4- Applications with Exponential and Logarithmic Functions
Day 5- Derivatives of Inverse Trig Functions
Day 6- Integrals of Inverse Trig Functions
Day 7 - L'Hopitals Rule
Day 8- Differential Equations and Slope Fields
Day 9- Review
Day 10- Test