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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
Section 3.1 Absolute Extrema
Section 3.1 will show how to find the absolute maximum and absolute minimum on an interval.
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