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AP Calculus
AB and BC Videos (BC at the bottom)
LIMITS
Intro to Limits - Khan Academy
Intro to Limits - Math BFF
Limits by Factoring - Khan Academy
Limits by Rationalizing Denominator - Khan Academy
Formal Definition of a Limit - Khan Academy (watch all successive videos)
Finding Limits, Multiple Techniques - Math BFF
Limits at Infinity - Math BFF
DERIVATIVES
Formal Limit Definition of a Derivative
Using Limit Definition of Derivative to find Derivative of y= x^2
Power Rule
Derivatives of Sine and Cosine
and e^x and lnx
Product Rule
Quotient Rule
Chain Rule
Chain Rule MathBFF
Implicit Differentiation Math BFF
INTEGRALS
Basic Anti-Derivatives - Math BFF
U-Substitution - Math BFF
Solids of Revolution
Disk Method Basics
Disk Method Part 2
Disk Method around a horizontal line that is NOT the x-axis
Washer Method Basics
Washer Method Part 2
Washer Method around a horizontal line that is NOT the x-axis Part 1
Washer Method around a horizontal line that is NOT the x-axis Part 2
Shell Method (revolving around the y-axis)
Shell Method Example
Cross-Section/Area Accumulation
BC Skills
Integration Techniques:
Integration by Parts Derivation - watch successive videos for examples
Partial Fraction Expansion Example
Improper Integrals (Integrals at Infinity) - watch successive videos for examples
Differential Equations
Euler's Method - watch successive videos
Logistic Differentials - watch all successive videos
Parametrics
Parametric Functions Review
Derivative of a Parametric Function Example
Polar Coordinates
Polar Coordinate Review
Polar Coordinates and Integrals - watch all successive videos
Geometric Series and Series Convergence
Formula for a Finite Geometric Series
Derivation for the Sum of an Infinite Geometric Series
Convergent vs. Divergent Series Examples and Concepts - watch all successive videos
nth Term Divergence Test
Integral Test for Convergence
Other Tests for Convergence/Divergence - watch all successive videos
Ratio Test
Alternating Series Remainder, Khan Academy
Taylor and Maclaurin Series
Taylor and Maclaurin Series, All Concepts - Watch all successive videos
AB Class Lessons and Work
Limits, Continuity, IVT
Calculus AB Lecture 2 (IVT)
Calculus AB Lecture 3 (limits at infinity)
Derivatives
Derivative Video 1
Derivative Video 2
AB - Derivative Quiz Part 1
AB - Derivative Quiz Part 2
AB - Derivative Quiz Part 3
Implicit Differentiation
Exponentials, Logs, and Implicit Diff. Practice with answer sheet
Derivative Study Guide Video 1
Derivative Study Guide Video 2
Derivative Study Guide Video 3
Midterm Material
Practice Midterm PDF
Integrals - Test 1
U-Substitution (with HW problems solved)
Motion and Integrals 1
Motion and Integrals 2
Definite Integral - Basic Concepts
Riemann Approximations 1
Riemann Approximations 2
Riemann Approximations 3
Riemann Approximations 4
The Definite Integral as The Limit of a Riemann Sum
Definite Integrals and Geometry 1
Definite Integrals and Geometry 2
Integral Test 1 Study Guide PDF
Integral Test 1 Study Guide with Answers (with some solutions) PDF
Integrals - Test 2
The Definite Integral and the Fundamental Theorem of Calculus
Fundamental Theorem of Calculus NMSI Packet PDF
FTC And Motion, Total Distance and Average Value
Motion Problem Solved
2nd Fundamental Theorem of Calculus
Rate in Rate out
Integration Review Videos and Worksheets
Integration Review 1
Integration Review 2
Integration Review 3
Integration Review Worksheet, PDF
4-Question Quiz - Link
Differential Equations and Slope Fields
Differentials Equations 1 - the basics and introduction to separable differential equations
Differential Equations 2 - more separable differential equations
ERROR ON VIDEO #2!!! When I work through #14, I put the constant on the WRONG SIDE! Doh!
Differential Equations 3 - general solutions to separable differential equations
Differential Equations 4 - general solutions continued
General Solutions to Separable Differential Equations Worksheet 1, PDF
Differentials Equations Quiz 1 - Link
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Differential Equations 5 - particular solutions to separable differential equations
Differential Equations 6 - more particular solutions problems worked out
Particular Solutions Worksheet 1, PDF
Particular Solutions Quiz 1 - Link
Differentials FRQ vid 1
Differentials FRQ vid 2
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Slope Fields Video 1
Slope Fields Video 2
Slope Field Generator on Desmos
Slope Fields Quiz - Link
BC Class Lessons and Work
AB Review Topics
Calculus BC - Implicit Differentiation
Calculus BC - Separable Diff. Eq. Example
Calculus BC - Slope Fields Basics
Integration by Parts
Calculus BC Lecture 1 (Integration by Parts)
Calculus BC Lecture 2 (Integration by Parts 2)
Inverse Trig Integrals
Calculus BC Lecture 3 (Inverse Trig Integrals)
Improper Integrals
Calculus BC Lecture 4 (Improper Integrals)
Logistic Differential Equations
Calculus BC - Logistic Differential Equations 1
Calculus BC - Logistic Differential Equations 2
Newton's and Euler's Method
Calculus BC - Newton's Method Bare Bones
Calculus BC - Newton's Method Part 2
Calculus BC - Euler's Method Basics
Calculus BC - Euler's Method MCQ
Calculus BC - Euler's Method FRQ Part a
Calculus BC - Euler's Method FRQ Part b
Calculus BC - Euler's Method FRQ Part c
Parametrics, Arc Length, Speed, Vectors
BC - Parametric Multiple Choice Solved
BC - Parametric Arc Length
BC - Speed From Vector Values Functions
BC - Speed FRQ Worked Through
BC - Parametric Study Guide Problems Solved (1st video)
Parametric FRQ from Study Guide Worked Out
Polar Curves
Polar Coordinates 2
Polar Derivatives
Finding Points of Intersection on a Polar Curve using TI-84
Midterm Problems Discussed
Additional Integration Techniques
Change of variable
Trig Substitution
Infinite Series
Geometric Series Basics (convergence and sums)
Series Basics, Partial Sums, The Harmonic Series, Nth term test
Integral Test and the P-Series
Direct Comparison "Test"
Limit Comparison Test
Ratio Test
BC Study Guide PDF
Taylor/Maclaurin Polynomials and Series
Taylors 1
Taylors 2
Taylors 3
Taylors 4
Taylor Remainders
Taylor Problem Worked Through
Quarter 4 Review Quizzes and AP Material
Taylors and Series Quiz - link
Are and Volume FRQS
- PDF
BC Intergrals FRQs - PDF
Differentials, Euler's, Logistics FRQs - PDF
Taylors and Series FRQs - PDF
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