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Zitur AP® Calculus BC
Zitur's site for AP™ Calculus BC
Course Resources
UNIT 1
1-1 Trig Review, Limits, Continuity
1-2 More Limits, More Continuity, Intermediate Value Theorem, Graphing Adjustments
1-3 Infinite Limits, Limits at Infinity, Curve Sketching
1-4 Limit Definition of the Derivative, Alternate Form, Trig Review
1-5 Derivative Rules (Short Cuts), Tangent Lines, Differentiability, Rates of Change
1-6 Position, Velocity, Acceleration, Calculator Differentiation
Unit 1 Summary/Review
UNIT 2
2-1 Product and Quotient Rules, Differentiating Trigonometric Functions
2-2 Chain Rule
2-3 Implicit Differentiation
2-4 Related Rates
2-5 Absolute Extrema and the Mean Value Theorem
2-6 Increasing/Decreasing Functions, First Derivative Test for Relative Extrema
Unit 2 Summary/Review
UNIT 3
3-1 Concavity and Points of Inflection, the Second Derivative Test
3-2 Curve Sketching with Extrema and Points of Inflection
3-3 Graphing Derivatives and Antiderivatives from Graphs
3-4 Optimization
3-5 Approximating with the Tangent Line
3-6 Antidifferentiation, Indefinite Integrals
Unit 3 Summary/Review
UNIT 4
4-1 Reverse Chain Rule and u-Substitution
4-2 The Fundamental Theorem of Calculus, Definite Integrals, Calculator Integration
4-3 The Second Fundamental Theorem, Rate Graphs, Average Value of a Function
4-4 Riemann Sums, The Trapezoidal Rule
4-5 Area Between Curves
4-6 Volumes of Solids with Known Cross Sections (including Discs and Washers)
Unit 4 Summary/Review
UNIT 5
5-1 (Shell Method Volume), Arc Length
5-2 Differentiating and Integrating Exponential Functions
5-3 Derivatives of Inverse Functions
5-4 Logarithmic Functions, Differentiating Logarithmic Functions
5-5 Integration Involving the Natural Log Function
5-6 Differential Equations, Exponential Growth and Decay
Unit 5 Summary/Review
UNIT 6
6-1 Slope Fields, Euler’s Method
6-2 Inverse Trigonometric Functions
6-3 Integration by Parts
6-4 Partial Fractions, Mixed Integration
6-5 Logistic Equations
6-6 L’Hopital’s Rule
Unit 6 Summary/Review
UNIT 7
7-1 Improper Integrals
7-2 Sequences
7-3 Series Convergence, Geometric Series, nth Term Test
7-4 Power Series
7-5 Taylor Series
7-6 Elementary Series, Alternating Series
Unit 7 Summary/Review
UNIT 8
8-1 Error Approximations
8-2 Integral Test, p-Series
8-3 Comparison Tests
8-4 Ratio Test
8-5 Interval of Convergence
8-6 Absolute vs Conditional Convergence, Review
Unit 8 Summary/Review
UNIT 9
9-1 Parametric Equations
9-2 Polar Graphs
9-3 Polar Area
9-4 Polar Arc Length, Vector Definitions
9-5 Calculus of Vector Valued Functions
9-6 Review
Unit 9 Summary/Review
z Review videos for First Semester
Zitur BC Calculus
Zitur AP® Calculus BC
2-5 Absolute Extrema and the Mean Value Theorem
Error in the summary for #8 below. Abs min is 0 and occurs at x=2.
Abs Extrema on the TI-Nspire
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