Mr. Carver
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Video Lecture
Calendar Chapter 4
Calendar Chapter 5 (5.1 - 5.5)
Calendar Chapter 5 (5.6 - 5.9)
Calendar Chapter 6
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1.3 Evaluating Limits Analytically
1.4 One Sided Limits and Continuity
2.2 Basic Differentiation Rules
2.2 Projectile Motion
2.3 Product/Quotient Rule
2.4 The Chain Rule
2.4 Simplification of Derivatives
2.5
Implicit Differentiation
2.6 Related Rates
3.1 Absolute Extrema over a Closed Interval
3.2 - Mean Value Thm
3.2 Mean Value Thm - Part 2
3.2 Rolle's Thm
Sketching f (x) from f ' (x)
3.3 Intervals of Increase/Decrease
3.4 Concavity
3.5 Limits at Infinity
Sketching f (x) from f ' (x)
3.6 A Summary of Curve Sketching
3.6 A Summary of Curve Sketching
- Slant Asymptote
3.7
Optimization
3.8 Newton's Method
3.9 Differential Approximation Intro
3.9 Differential Approximation
4.1 Indefinite Integration
4.2 Area Part 1 - Summation Notation
4.2 Area Part 2 - Area with Summation Notation
4.4 First Fundamental Theorem of Calculus, Mean Value for Integrals and Average Value
4.4 Second Fundamental Theorem of Calculus
4.5 Integration by
substitution
4.5 Integration with Substitution - Part II
4.6 Trapezoid and Simpson's Rule
5.1 Natural Log Functions: Differentiation
5.2 Natural Logarithmic Functions: Integration
5.3 Inverse Functions
5.4 Natural Exponential Functions: Integration and Differentiation
5.5 Bases other Than e: Differentiation
5.5 Bases other Than e: Integration
5.6 Exponential Growth/Decay
5.6/5.7 Differential Equations
5.8 Arc Trig Functions - No Calculus Yet
5.8 Arc Trig Functions: Deriving Lesson Video
5.9 Arc Trig Functions: Integration
5.9 Arc Trig Functions: Integration Lesson
Video - Day 2
6.1 Area Between Curves
6.2 Volumes of Solids of Revolution (Disc/Washer Method)
6.2 Volumes of Solids with Known Cross-Sections
6.3 Volumes of Solids of Revolution (Shell Method)
6.4 Surface Area/Arc Length
6.5 Work
6.7 Fluid Force
7.2
Integration by Parts
7.3 Trigonometric Integrals
7.4 Trigonometric Substitution
7.7 Limits and L'Hopital's Rule
7.8 Improper Integrals
8.1 Sequences
8.2 Infinite Series and Convergence
8.3 Infinite Series: Integral Test and P-Series Test
8.4 Limit Comparison and Direct Comparison Tests
8.5 Alternating Series Test
8.5 Alternating Series Remainder Thm
8.6 Ratio/Root Tests
8.7 Taylor/MacLauren Polynomial Estimation (class notes start around the 30:00 mark)
8.8 Power Series: Interval of Convergence
8.8 Power Series Integration and Differentiation
8.9 Representation of Functions by Power Series Video Lesson
8.9
Representation of Functions by Power Series/Integration and Differentiation
8.10 Taylor and MacLauren Power Series
9.1 Conic Sections Overview video
9.1
Determining Hyperbola Equations from Attributes, Advanced
9.1
Graphing Hyperbolas, Determining Equation from Attributes
9.1 Video on Eccentricity of Conic Sections
9.2 Parametric Equation Lesson Video
9.2 Writing Conic Equations in Parametric Form Video
9.3 Parametric Equations - slope, concavity, arc length, surface area lesson video
9.4 Polar Coordinates and Conversions Video
9.4 Special Polar Graphs/Rect. Slope and Polar Graphs
9.4 Tangents to the Pole Lesson Video
9.5 Polar Graphs, Area, Arc Length, Surface Area Video
AP Review: Euler's Method
Trapezoid Rule Project