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Khan Academy Video Links
Limits
LimitsIntroduction to limits
Limit at a point of discontinuity Limit properties Limit example 1 Limits 1 Onesided limits from graphs Onesided limits from graphs 
Book Section Number2.1
2.1 2.1 2.1 2.1 2.1 2.1 
Continuity using limitsLimits to define continuity
Limit and function defined at point of discontinuity Fancy algebra to find a limit and make a function continuous Defining a function at point to make it continuous Continuity 
Book Section Number2.3
2.3 2.3 2.3 2.3 
Old limits tutorialIntroduction to Limits
Limit Examples (part 1) Limit Examples (part 2) Limit Examples (part 3) Limit Examples w/ brain malfunction on first prob (part 4) More Limits Limits 1 
Book Section Number 2.1
2.1 2.2 2.1 & 2.2 2.1 & 2.2 2.2 2.1 
Limits and infinity Limits and infinity
Limits at positive and negative infinity More limits at infinity Limits with two horizontal asymptotes Limits 
Book Section Number 2.2
2.2 2.2 2.2 2.2 
Squeeze Theorem Squeeze Theorem
Proof: lim (sinx)/x 
Book Section Number 2.1 & 2.2
2.1 
Epsilon delta definition of limit Building the idea of epsilondelta definition
Epsilondelta definition of limits Proving a limit using epsilondelta definition Limits to define continuity Epsilon Delta Limit Definition 1 Epsilon Delta Limit Definition 2 
Book Section Number2.1
2.1 2.1 2.3 2.1 2.1 
Taking Derivatives
Introduction to differential calculus
Newton Leibniz and Usain Bolt

why study calculus

Using secant line slopes to approximate tangent slope
Slope of a line secant to a curve
Slope of a secant line example 1 Slope of a secant line example2 Slope of a secant line example 3 Approximating instantaneous rate of change word problem Approximating equation of tangent line word problem Slope of secant lines 
Book Section Number
2.4
2.4 2.4 2.4 2.4 2.4 2.4 
Introduction to derivatives

All videos are sec 3.1

Visualizing graphs of functions and their derivatives

All videos are sec 3.1

Power rule

All videos are sec 3.3

Chain rule

All videos are sec 3.6

Product and quotient rules

All videos are sec 3.3

Implicit differentiation

All videos are sec 3.7

Proofs of derivatives of common functions

All videos are sec 3.9

Derivative applications
Minima, maxima, inflection points, and criticial points
Minima, maxima and critical points
Testing critical points for local extrema Identifying minima and maxima for x^312x5 Concavity, concave upwards and concave downwards intervals Recognizing concavity exercise Recognizing concavity Inflection points Graphing using derivatives Another example graphing with derivatives 
Book Section Number
4.1
4.1 4.1 4.3 4.3 4.3 4.3 4.3 4.3 
Optimization with calculus

All videos are sec 4.4

Related Rates

All videos are sec 4.6

Mean value theorem

All videos are sec 4.2

L'Hopital's Rule

Covered after ap exam. Sec 8.1

Indefinite and definie integrals
Indefinite integrals as antiderivative Antiderivatives and indefinite integrals
Indefinite integrals of x raised to a power Antiderivatives of hairer expression Basis trid and exponenial antiderivatives Antiderivative of x^(1) 
Book Section Number 6.1
6.1 6.1 6.1 6.1 
Riemann sums and definite integration Simple Riemann approximation using rectangles
Generalizing a left Riemann sum with equally spaced recatangles Rectangular and trapezoidal Riemann approximations Trapezoidal approximation of area under curve Riemann sums and integrals 
Book Section Number 5.1
5.1 5.1, 5.5 5.5 5.2 
Usubstitution 
All videos are sec 6.2 
Integration by parts 
Calculus BC topic. Section 6.3
Covered after ap exam 
Definite integrals Riemann sums and integrals
Intuition for Second Fundamental Theorem of Calculus Evaluating simple definite integral Definite integrals and negative area Area between curves Area between cuves with multiple boundaries Challenging definite integration Introduction to definite integrals Definite integrals (part II) Definite integrals (area under a curve) (part III) Definite Integrals (part 4) Definite Integrals (part 5) Definite integrals with substitution 
Book Section Number 5.2
5.4 5.2 5.2 7.2 7.3 BC Topic 5.2 5.2 5.2, 5.4 5.4, 7.2 5.4, 7.2 6.2 
Tigonometric Substitution 
Calculus BC topic. Will not be covered 
Fundamental Theorem of Calculus Fundamental Theorem of Calculus
Applying the fundamental theorem of calculus Swapping the bounds for definite integral Both bounds being a function of x Proof of Fundamental Theorem of Calculus Connecting the first and second fundamental theorem of caclulus 
Book Section Number 5.3, 5.4
5.4 5.4 5.4 5.4 5.4 
Improper integrals 
Calculus BC topic. Will not be covered 
Solid of revolution
Disk method 
All 12 videos are section 7.3 
Shell method 
All 7 videos are section 7.3 
Solid of revolution volume 
All 8 videos are section 7.3 