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Zitur AP Calculus AB
Zitur's site for AP™Calculus AB
0. Intro To AP Calculus AB
AP Calculus Review
1) Total Distance Traveled vs Displacement (Net Change)
10) Average Rate of Change vs Average Value
2) Riemann Sums/Trapezoidal Sums
3) Arbitrary Point Problem
6) Definition of Derivative
7) Absolute Value into Piecewise
8) Tangent Line Approximations
9) Second FTC
zPractice Tests
Sem1 Review
Unit 1 Limits
Section 1.2 Limits: Intro
Section 1.3 Limits: Direct Substitution
Section 1.4 Continuity
Section 1.5/3.5 Limits:Asymptotes
Unit 1 Review
Unit 2 The Derivative
Ch 2 Review
Particle Problems using Differentiation
Section 2.1 Derivative and Tangent Line Problem
Section 2.2 Basic Derivative Rules
Section 2.3/2.4 Product Rule, Quotient Rule 2.4 Chain Rule
Unit 3 Applications of Differentiation
Section 3.1 Absolute Extrema
Section 3.2 Mean Value Theorem/ Rolle's Theorem
Section 3.3 First Derivative Test for Relative Extrema
Section 3.4 Concavity
Section 3.6 Curve Sketching
Section z3.1-3.6 REVIEW AP Problems/Speed
Unit 4- Derivative Applications II
Section 4.1 (2.5) Implicit Differentiation
Section 4.2 (2.6) Related Rates
Section 4.3 (3.7) Optimization
Section 4.4 Apps- Tangent line approximation/L'Hopital's rule
Section z3.7, 2.6 Tangent Line approximations REVIEW
Unit 5 and Unit 6 The Integral
Section 4.1 Antidifferentiation
Section 4.2, 4.3 and 4.6 Riemann Sums and Trapezoidal Method
Section 4.4 Fundamental Theorems Of Calculus
Section 4.5 U-substitution
zCh 4 Review
Unit 7 Inverse, Logarithmic and Exponential Functions
Section 5.1 The Derivative of ln(x)
Section 5.2 Integral of 1/x is ln(x)
Section 5.3 Inverse Functions
Section 5.4 Derivative and anti-derivative of e^x
Section 5.5 Bases other than e
Section 5.6/5.7 Derivatives/Integrals of Inverse Trig Functions
Unit 8 Slope Fields/Diff EQ
Ch 5/6 Review
Section 6.1 Slope Fields
Section 6.2 Differential Equations
Section 6.3 Solving Diff Eq by Separation of Variables
Unit 9 Area Between Curves/ Volumes
Section 7.1 Area Between 2 Curves
Section 7.2 Additional- Volumes by cross sections
Section 7.2 Disk Method for Volumes of Revolution
Section 7.3 Shell Method for Volumes of Revolution
Workshop notes
ETC 2012- Flipped Classroom
Seoul AP Workshop Nov 2013
zz Mr Ganske's Page
Zitur AP Calculus AB
6) Definition of Derivative
Here is a 7+minute video on the definition of the derivative and how it may be used on the AP test.
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