Calculus

/Week 1/

1 - 11 - 1.10 What is the limit of (x2 - 1)-(x-1) [848].mp4

1 - 12 - 1.11 What is the limit of (sin x)-x [610].mp4

1 - 13 - 1.12 What is the limit of sin (1-x) [817].mp4

1 - 14 - 1.13 Four Examples of Limits [710].mp4

1 - 15 - 1.14 Morally what is the limit of a sum [614].mp4

1 - 16 - 1.15 What is the limit of a product [213].mp4

1 - 17 - 1.16 What is the limit of a quotient [917].mp4

1 - 18 - 1.17 How fast does a ball move [1642].mp4

1 - 2 - 1.01 Cat-Years vs. Human-Years [819].mp4

1 - 3 - 1.02 The Greatest Integer Function [408].mp4

1 - 4 - 1.03 Linear Functions [906].mp4

1 - 5 - 1.04 When are two functions the same [557].mp4

1 - 6 - 1.05 How can more functions be made [325].mp4

1 - 7 - 1.06 What are some real-world examples of functions [656].mp4

1 - 8 - 1.07 Inverses of Functions [1009].mp4

1 - 9 - 1.08 What is the domain of square root [1556].mp4

/Week 2/

2 - 10 - 2.08 What is the difference between potential and actual infinity [249].mp4

2 - 11 - 2.09 What does continuous mean [501].mp4

2 - 12 - 2.10 Wild Functions [906].mp4

2 - 13 - 2.11 Could a One-Sided Limit Not Exist [313].mp4

2 - 14 - 2.12 What is the intermediate value theorem [223].mp4

2 - 15 - 2.13 Mirko and Roxy Like Food [533].mp4

2 - 16 - 2.14 How can I approximate root two [1020].mp4

2 - 17 - 2.15 Why is there an x so that f(x) x [512].mp4

2 - 18 - 2.16 BONUS What is the official definition of limit [334].mp4

2 - 19 - 2.17 BONUS Why is the limit of x2 as x approaches 2 equal to 4 [459].mp4

2 - 2 - Office Hours From Week 1 [1605].mp4

2 - 20 - 2.18 BONUS Why is the limit of 2x as x approaches 10 equal to 20 [217].mp4

2 - 3 - 2.01 What is a one-sided limit [345].mp4

2 - 4 - 2.02 What does lim f(x) infinity mean [524].mp4

2 - 5 - 2.03 Four More Examples of Limits [427].mp4

2 - 8 - 2.06 What are Asymptotes [1116].mp4

2 - 9 - 2.07 Why is infinity not a number [621].mp4

/Week 3/

3 - 10 - 3.08 Why is sqrt(9999) so close to 99.995 [543].mp4

3 - 11 - 3.09 What information is recorded in the sign of the derivative [413].mp4

3 - 12 - 3.10 Why is a differentiable function necessarily continuous [601] .mp4

3 - 13 - 3.11 What is the derivative of a constant multiple of f(x) [453].mp4

3 - 14 - 3.12 Why is the derivative of x2 equal to 2x [1221].mp4

3 - 15 - 3.13 What is the derivative of xn [731].mp4

3 - 16 - 3.14 What is the derivative of x3 x2 [507].mp4

3 - 17 - 3.15 What is the derivative of sqrt(x3) [532].mp4

3 - 18 - 3.16 What about exponential functions [1034].mp4

3 - 19 - 3.17 Why is the derivative of a sum the sum of derivatives [448].mp4

3 - 2 - Office Hours From Week 2.mp4

3 - 20 - 318 Basic derivative race [319].mp4

3 - 3 - 3.01 Slope and derivatives [447].mp4

3 - 4 - 3.02 What is the definition of derivative [634].mp4

3 - 5 - 3.03 What is a tangent line [328].mp4

3 - 6 - 3.04 What can you say now [351].mp4

3 - 7 - 3.05 Why is the absolute value function not differentiable [238].mp4

3 - 8 - 3.06 What is the derivative of the greatest integer function [624].mp4

3 - 9 - 3.07 How does wiggling x affect f(x) [329].mp4

/Week 4/

4 - 1 - Office Hours From Week 3.mp4

4 - 10 - 4.8 A plot of an unknown function [716].mp4

4 - 11 - 4.9 An example of sketching a curve [1122].mp4

4 - 12 - 4.10 Cats-A-Lot [655].mp4

4 - 13 - 4.11 ZOMBIE ATTACK [815].mp4

4 - 14 - 4.12 What is a function which is its own derivative [901].mp4

4 - 15 - 4.13 What is the derivative of f(x) g(x) [646].mp4

4 - 16 - 4.14 Four examples of the product rule [414].mp4

4 - 17 - 4.15 Morally why is the product rule true [615].mp4

4 - 18 - 4.16 How does one justify the product rule [610].mp4

4 - 19 - 4.17 What is the quotient rule [409].mp4

4 - 20 - 4.18 Four examples of the quotient rule [458].mp4

4 - 21 - 4.19 How can I remember the quotient rule [557].mp4

4 - 3 - 4.01 What is the meaning of the derivative of the derivative [1103].mp4

4 - 4 - 4.02 What does the sign of the second derivative encode [426].mp4

4 - 5 - 4.03 What does d-dx mean by itself [405].mp4

4 - 6 - 4.04 What are extreme values [722].mp4

4 - 7 - 4.5 How can I find extreme values [954].mp4

4 - 8 - 4.6 Do all local minimums look basically the same when you zoom in [355].mp4

4 - 9 - 4.7 How can I sketch a graph by hand [728].mp4

/Week 5/

5 - 1 - Office Hours From Week 4.mp4

5 - 10 - 5.08 How does the derivative of the inverse function relate to the derivative of the original function [1020].mp4

5 - 11 - 5.09 What is the derivative of log [655].mp4

5 - 12 - 5.10 What is logarithmic differentiation [424].mp4

5 - 13 - 5.11 Four examples of logarithmic differentiation [826].mp4

5 - 14 - 5.12 Discover-e [803].mp4

5 - 15 - 5.13 How can we multiply quickly [848].mp4

5 - 16 - 5.14 How do we justify the power rule [1117].mp4

5 - 17 - 5.15 How can logarithms help to prove the product rule [328].mp4

5 - 18 - 5.16 How do we prove the quotient rule [501].mp4

5 - 19 - 5.17 BONUS How does one prove the chain rule [648].mp4

5 - 3 - 5.01 What is the chain rule [1032].mp4

5 - 4 - 5.02 What is the derivative of (12x)5 and sqrt(x2 0.0001) [704].mp4

5 - 5 - 5.03 Four examples of the chain rule [403].mp4

5 - 6 - 5.04 What is implicit differentiation [534].mp4

5 - 7 - 5.05 What is the folium of Descartes [440].mp4

5 - 8 - 5.06 Differentiating the astroid [503].mp4

5 - 9 - 5.07 Differentiating the kampyle of Eudoxus [418].mp4

/Week 6/

6 - 1 - Office Hours From Week 5.mp4

6 - 10 - 6.09 What is the derivative of sin(x2) [436].mp4

6 - 11 - 6.10 Four examples of derivatives involving trigonometric functions [343].mp4

6 - 12 - 6.11 What are inverse trigonometric functions [432].mp4

6 - 13 - 6.12 What are the derivatives of inverse trig functions [1026].mp4

6 - 14 - 6.13 The derivative of arcsec(x) [908].mp4

6 - 15 - 6.14 Why do sine and cosine oscillate [439].mp4

6 - 16 - 6.15 How can we get a formula for sin(ab) [415].mp4

6 - 17 - 6.16 How can I approximate sin 1 [325].mp4

6 - 18 - 6.17 How can we multiply numbers with trigonometry [411].mp4

6 - 19 - 6-18 In calculus, we use radians [7-34].mp4

6 - 2 - 6.01 A geometric interpretatation of the quotient rule [941].mp4

6 - 3 - 6.02 The quotient rule via the product rule [337].mp4

6 - 4 - 6.03 Why does trigonometry work [312].mp4

6 - 5 - 6.04 Why are there these other trigonometric functions [448].mp4

6 - 6 - 6.05 What is the derivative of sine and cosine [1004].mp4

6 - 7 - 6.06 Trigonometric functions from different viewpoints [1058].mp4

6 - 8 - 6.07 What is the derivative of tan x [925].mp4

6 - 9 - 6.08 What are the derivatives of the other trigonometric functions [535].mp4

/Week 7/

7 - 1 - Office Hours From Week 6 [30-05].mp4

7 - 10 - 7.08 A beacon problem [5-57] (1).mp4

7 - 11 - 7.09 How fast does the ladder slide down the building- [3-50].mp4

7 - 12 - 7.10 A plane problem [7-12].mp4

7 - 13 - 7.11 How quickly does a bowl fill with green water- [4-07].mp4

7 - 14 - 7.12 A cyclist problem [5-06] (1).mp4

7 - 14 - 7.12 A cyclist problem [5-06].mp4

7 - 15 - 7.13 How quickly does the water level rise in a cone- [7-00].mp4

7 - 16 - 7.14 A swing problem [4-58].mp4

7 - 17 - 7.15 How quickly does a balloon fill with air- [3-45].mp4

7 - 18 - 7.16 A baseball problem [6-16].mp4

7 - 3 - 7.01 How can derivatives help us to compute limits- [9-26].mp4

7 - 4 - 7.02 How can l-'Hôpital help with limits not of the form 0-0- [14-43].mp4

7 - 5 - 7.03 Examples of l-'Hospital-'s rule [13-36].mp4

7 - 6 - 7.04 Why shouldn-'t I fall in love with l-'Hôpital- [8-14].mp4

7 - 7 - 7.05 How long until the gray goo destroys Earth- [3-46].mp4

7 - 8 - 7.06 What does a car sound like as it drives past- [3-57].mp4

7 - 9 - 7.07 How fast does the shadow move- [5-11].mp4

/Week 8/

8 - 1 - Office Hours from Week 7 [9-28].mp4

8 - 10 - 8.06 How large can xy be if x + y = 24- [5-42].mp4

8 - 11 - 8.08 A box problem [9-09].mp4

8 - 12 - 8.07 How do you design the best soup can- [10-32].mp4

8 - 13 - 8.09 Light from a window [7-47] (1).mp4

8 - 14 - 8.10 Where do three bubbles meet- [12-45].mp4

8 - 15 - 8.11 A trucking problem [14-55].mp4

8 - 16 - 8.12 How large of an object can you carry around a corner- [10-32].mp4

8 - 17 - 8.13 An oil pipeline problem [13-31].mp4

8 - 18 - 8.14 How short of a ladder will clear a fence- [4-03].mp4

8 - 3 - 8.01 What is the extreme value theorem- [8-56].mp4

8 - 4 - 8.02 How do I find the maximum and minimum values of f on a given domain- [9-06].mp4

8 - 5 - 8.03 Why do we have to bother checking the endpoints- [4-15].mp4

8 - 6 - 8.04 Why bother considering points where the function is not differentiable- [7-17].mp4

8 - 7 - 8.05 A rectangle with the smallest perimeter for a given area [8-05].mp4

8 - 8 - 8.06 How can you build the best fence for your sheep- [8-49].mp4

8 - 9 - 8.07 A rectangle inside a semicircle [9-30].mp4

/Week 9/

9 - 10 - 9.08 Why is log 3 base 2 approximately 19-12- [10-21].mp4

9 - 11 - 9.09 Approximating the 10 root of 1000 with differentials [6-08].mp4

9 - 12 - 9.10 What does dx mean by itself- [5-38].mp4

9 - 13 - 9.11 What is the volume of an orange rind- [6-40].mp4

9 - 14 - 9.12 Painting a sphere [3-00].mp4

9 - 15 - 9.13 What is Newton-'s method- [9-55].mp4

9 - 16 - 9.14 What is a root of the polynomial x^5 + x^2 - 1- [6-55].mp4

9 - 17 - 9.15 How can Newton-'s method help me to divide quickly- [7-24].mp4

9 - 18 - 9.16 How could Newton-'s method fail- [6-45].mp4

9 - 19 - 9.17 What is the mean value theorem- [6-51].mp4

9 - 2 - Office Hours from Week 8.mp4

9 - 20 - 9.18 Why does f-'(x) - 0 imply that f is increasing- [5-10].mp4

9 - 21 - 9.19 How many roots could this function have- [9-39].mp4

9 - 22 - 9.20 Should I bother to find the point c in the mean value theorem- [4-27].mp4

9 - 3 - 9.01 Where does f(x+h) = f(x) + h f-'(x) come from- [5-59].mp4

9 - 4 - 9.02 Approximating a fractional exponent [5-53].mp4

9 - 5 - 9.03 Guest Lecturers [2-17].mp4

9 - 6 - 9.04 Guest Lecturer- Stephaine Force, Approximating the 10th root of 1000 [4-00].mp4

9 - 7 - 9.05 Guest Lecturer- Brittany Black, Linear approximations, not so fast [3-28].mp4

9 - 8 - 9.06 When are linear approximations good approximations- [9-06].mp4

9 - 9 - 9.07 What happens if I repeat linear approximation- [10-33].mp4

/Week 10/

10 - 1 - Office Hours from Week 9.mp4

10 - 10 - 10.08 How difficult is factoring compared to multiplying- [5-30].mp4

10 - 11 - 10.09 What is an antiderivative for e^(-x^2)- [4-49].mp4

10 - 12 - 10.10 What can we say- [5-41].mp4

10 - 13 - 10.11 What is the antiderivative of f(mx+b)- [5-18].mp4

10 - 14 - 10.12 An initial value problem [2-43].mp4

10 - 15 - 10.13 Knowing my velocity, what is my position- [3-16].mp4

10 - 16 - 10.14 Knowing my acceleration, what is my position- [4-24].mp4

10 - 17 - 10.15 An airplane problem [8-33].mp4

10 - 18 - 10.16 Goofy threads [2-55].mp4

10 - 19 - 10.17 What is the antiderivative of sine squared- [3-18].mp4

10 - 20 - 10.18 What is a slope field- [4-56].mp4

10 - 21 - 10.19 Analyzing a slope field [5-39].mp4

10 - 3 - 10.01 How do we handle the fact that there are many antiderivatives- [5-26].mp4

10 - 4 - 10.02 What is the antiderivative of a sum- [3-42].mp4

10 - 5 - 10.03 What is an antiderivative for x^n- [7-36].mp4

10 - 6 - 10.04 What is the most general antiderivative of 1-x- [4-14].mp4

10 - 7 - 10.05 What are antiderivatives of trigonometric functions- [5-44].mp4

10 - 8 - 10.06 What are antiderivatives of e^x and natural log- [2-44].mp4

10 - 9 - 10.07 Guessing antiderivatives [8-08].mp4

/Week 11/

11 - 1 - Office Hours from Week 10.mp4

11 - 10 - 11.09 What does area even mean- [7-09].mp4

11 - 11 - 11.10 How can I approximate the area of a curved region- [9-57].mp4

11 - 12 - 11.11 What is the definition of the integral of f(x) from x = a to b- [5-48].mp4

11 - 13 - 11.12 What is the integral of x^2 from x = 0 to 1- [8-08].mp4

11 - 14 - 11.13 What is the integral of x^3 from x = 1 to 2- [8-35].mp4

11 - 15 - 11.14 Monty Carlo integration [6-26].mp4

11 - 16 - 11.15 When is the accumulation function increasing- Decreasing- [4-44].mp4

11 - 17 - 11.16 Changing the order of the limits [3-35].mp4

11 - 18 - 11.17 What sorts of properties does the integral satisfy- [4-42].mp4

11 - 19 - 11.18 Is the product of the integrals equal to the integral of the products- [2-00].mp4

11 - 2 - 11.01 Integrals as signed area [5-29].mp4

11 - 20 - 11.19 What is the integral of sin x dx from -1 to 1- [3-15].mp4

11 - 3 - 11.02 Integrals as average value [4-30].mp4

11 - 4 - 11.03 Geometry and integration [4-26].mp4

11 - 5 - 11.04 How can I write sums using a big Sigma- [5-10].mp4

11 - 6 - 11.05 What is the sum 1 + 2 + ... + k- [6-11].mp4

11 - 7 - 11.06 What is the sum of the first k odd numbers- [4-15].mp4

11 - 8 - 11.07 What is the sum of the first k perfect squares- [6-47].mp4

11 - 9 - 11.08 What is the sum of the first k perfect cubes- [5-57].mp4

/Week 12/

12 - 10 - 12.08 What is the area between the graphs of y = sqrt(x) and y = x^2- [6-26].mp4

12 - 11 - 12.09 What is the area between the graphs of y = x^2 and y = 1 - x^2- [6-30].mp4

12 - 12 - 12.10 What is the accumulation function for sqrt(1-x^2)- [8-39].mp4

12 - 13 - 12.11 Why does the Euler method resemble a Riemann sum- [4-29].mp4

12 - 14 - 12.12 In what way is summation like integration- [2-31].mp4

12 - 15 - 12.13 Sums to integrals [8-23].mp4

12 - 16 - 12.14 What is the sum of n^4 for n = 1 to n = k- [9-24] .mp4

12 - 17 - 12.15 Physically, why is the fundamental theorem of calculus true- [4-00].mp4

12 - 18 - 12.16 What is d-da integral f(x) dx from x = a to x = b- [5-06].mp4

12 - 19 - 12.17 Loans [2-47].mp4

12 - 2 - Office Hours from Week 11.mp4

12 - 20 - 12.18 Bacteria Growth [4-54].mp4

12 - 3 - 12.01 What is the fundamental theorem of calculus- [5-32] .mp4

12 - 4 - 12.02 How can I use the fundamental theorem of calculus to evaluate integrals- [6-06].mp4

12 - 5 - 12.03 The Fundamental theorem in action [3-49].mp4

12 - 6 - 12.04 What is the integral of sin x dx from x = 0 to x = pi- [3-32].mp4

12 - 7 - 12.05 What is the integral of x^4 dx from x = 0 to x = 1- [4-15].mp4

12 - 8 - 12.06 Four examples of integrals [4-59].mp4

12 - 9 - 12.07 Watch out! [2-04].mp4

/Week 13/

13 - 10 - 13.07 What is the integral of x - (x+1)^(1-3) dx- [3-54].mp4

13 - 11 - 13.08 What is the integral of dx - (1 + cos x) - [4-16].mp4

13 - 12 - 13.09 What is d-dx integral sin t dt from t = 0 to t = x^2- [3-51].mp4

13 - 13 - 13.10 Formally, why is the fundamental theorem of calculus true- [6-31].mp4

13 - 14 - 13.11 Without resorting to the fundamental theorem, why does substitution work- [3-47].mp4

13 - 15 - 13.12 What antidifferentiation rule corresponds to the product rule in reverse- [5-04].mp4

13 - 16 - 13.13 What is an antiderivative of x e^x- [4-13].mp4

13 - 17 - 13.14 How does parts help when antidifferentiating log x- [2-02].mp4

13 - 18 - 13.15 What is an antiderivative of e^x cos x- [6-12].mp4

13 - 19 - 13.16 What is an antiderivative of e^(sqrt(x))- [3-24].mp4

13 - 2 - Office Hours from Week 12.mp4

13 - 20 - 13.17 What is an antiderivative of sin^(2n+1) x cos^(2n) x dx- [5-50].mp4

13 - 21 - 13.18 What is the integral of sin^(2n) x dx from x = 0 to x = pi- [8-01].mp4

13 - 22 - 13.19 What is the integral of sin^n x dx in terms of sin^(n-2) x dx- [11-33].mp4

13 - 23 - 13.20 Why is pi - 22-7- [8-25].mp4

13 - 3 - If it ain-'t broke....mp4

13 - 4 - 13.01 How does the chain rule help with antidifferentiation- [5-31].mp4

13 - 5 - 13.02 When I do u-substitution, what should u be- [7-09].mp4

13 - 6 - 13.03 How should I handle the endpoints when doing u-substitution- [5-13].mp4

13 - 7 - 13.04 Might I want to do u-substitution more than once- [4-22].mp4

13 - 8 - 13.05 What is the integral of dx - (x^2 + 4x + 7)- [9-04].mp4

13 - 9 - 13.06 What is the integral of (x+10)(x-1)^10 dx from x = 0 to x = 1- [5-36].mp4

/Week 14/

1 - 1 - Week 14 Intro [1-12].mp4

1 - 10 - 14.08 What is the volume of a sphere with a hole drilled in it- [7-37].mp4

1 - 11 - 14.09 What does --length-- even mean- [4-16].mp4

1 - 12 - 14.10 On the graph of y^2 = x^3, what is the length of a certain arc- [4-14].mp4

1 - 13 - 14.11 Circumference [6-54].mp4

1 - 14 - 14.12 The Work-Energy Theorem [8-48].mp4

1 - 15 - 14.13 Improper integrals [6-55].mp4

1 - 16 - 14.14 Lunch money [10-45].mp4

1 - 17 - 14.15 Speedometer=odometer [11-57].mp4

1 - 18 - 14.16 Gabriel-'s Horn [8-40].mp4

1 - 19 - 14.17 This is the beginning....mp4

1 - 2 - Week 14 Office Hours [8-31].mp4

1 - 3 - 14.01 What happens when I use thin horizontal rectangles to compute area- [6-37].mp4

1 - 4 - 14.02 When should I use horizontal as opposed to vertical pieces- [5-45].mp4

1 - 5 - 14.03 What does --volume-- even mean- [4-47].mp4

1 - 6 - 14.04 What is the volume of a sphere- [6-03].mp4

1 - 7 - 14.05 How do washers help to compute the volume of a solid of revolution- [5-19].mp4

1 - 8 - 14.06 Volume of a Cup [12-02].mp4

1 - 9 - 14.07 What is the volume of a thin shell- [7-48].mp4

15 - 2 - 14.01 What happens when I use thin horizontal rectangles to compute area- [6-37].mp4

15 - 3 - 14.02 When should I use horizontal as opposed to vertical pieces- [5-45].mp4

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