The Calculus Lifesaver - Lecture Videos
By Princeton University
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Videos of 24 two-hour lectures accompanying "The Calculus Lifesaver" (Princeton University Press, 2007), given by the author, Adrian Banner. These lectures were originally given as review sessions for the Princeton University introductory calculus courses MAT103 and MAT104 during the 2006/7 academic year. Some of the topics are covered in a different order, and some sections of "The Calculus Lifesaver" aren't covered at all.
|1||VideoHow I Wrote "The Calculus Lifesave": An Interview with Adrian Banner||About the book||8/27/08||Free||View In iTunes|
|2||Video24. First order linear differential equations, first/second order constant coefficient linear differential equations||Sections 30.3 & 30.4||5/1/07||Free||View In iTunes|
|3||Video23. Complex numbers, separable first-order differential equations||Sections 28.1.1, 28.2, 28.3, 28.4, 30.1 & 30.2||4/24/07||Free||View In iTunes|
|4||Video22. More about power and Taylor series, introduction to complex numbers||Chapter 26, Section 28.1||4/17/07||Free||View In iTunes|
|5||Video21. Estimation using Taylor series, the remainder/error term, radius of convergence of power series||Section 24.2, Chapter 25, Section 26.1||4/10/07||Free||View In iTunes|
|6||Video20. Sequences and series, part 2, introduction to power||Sections 22.5.3, 22.5.4, 23.5, 23.6, 23.7 & 24.1||4/4/07||Free||View In iTunes|
|7||Video19. Sequences and series, part 1||Sections 22.1, 22.2, 22.5.1, 22.5.2, 23.1, 23.2, 23.3, & 23.4||4/3/07||Free||View In iTunes|
|8||Video18. Improper integrals, part 2||Sections 21.3, 21.4, & 21.5||3/13/07||Free||View In iTunes|
|9||Video17. Improper integrals, part 1||Chapter 20, Sections 21.1 & 21.3.1||3/6/07||Free||View In iTunes|
|10||Video16. Volumes of revolution, arc lengths, and surface areas||Chapter 29 (except 29.2)||2/27/07||Free||View In iTunes|
|11||Video15. Trig integrals, trig substitutions, and summary of integration techniques||Sections 19.2, 19.3 & 19.4||2/20/07||Free||View In iTunes|
|12||Video14. Partial fractions||Section 18.3||2/13/07||Free||View In iTunes|
|13||Video13. Substitution revisited, integration by parts, integrals involving trig limits||Sections 18.1, 18.2, & 19.1||2/6/07||Free||View In iTunes|
|14||Video12. Fundamental Theorems, integration by substitution||Chapter 17 / Section 18.1||12/12/06||Free||View In iTunes|
|15||Video11. Sigma notation, Riemann sums, integration, introduction to the Fundamental Theorems||Chapter 15 (except 15.1.2) / Chapter 16 (except 16.7) / Sections 17.1, 17.2, & 17.3||12/5/06||Free||View In iTunes|
|16||Video10. Optimization, L'Hopital's Rule||Sections 13.1 & 14.1||11/28/06||Free||View In iTunes|
|17||Video9. Classifying critical points, sketching graphs||Section 11.5 / Chapter 12||11/21/06||Free||View In iTunes|
|18||Video8. More on the differential, extrema, Rolle/Mean Value Theorem, critical points and the second derivatives||Section 13.2.2 / Chapter 11 (Note: The lecture stops suddenly but is made up at the beginning of the next video)||11/14/06||Free||View In iTunes|
|19||Video7. Inverse functions, inverse trig functions, linearization||Sections 10.1, 10.2 & 13.2 (except 13.2.4)||11/7/06||Free||View In iTunes|
|20||Video6. Exponentials, review of topics so far||Chapter 9 (except 9.6 & 9.7) / Section 14.2||10/24/06||Free||View In iTunes|
|21||Video5. Implicit differentiation, related rates||Chapter 8||10/17/06||Free||View In iTunes|
|22||Video4. Trig limits (continued), how to solve differentiation problems, trig derivatives, simple harmonic motion||Sections 7.1.3 & 7.1.4 / Chapter 6 (except 6.6 & 6.7) / Section 7.2, excluding 7.2.3||10/10/06||Free||View In iTunes|
|23||Video3. Continuity, differentiability, trig limits||Chapter 5 / Sections 7.1.1 & 7.1.2||10/3/06||Free||View In iTunes|
|24||Video2. Limits: theory and polynomial examples||Chapters 3 & 4||9/26/06||Free||View In iTunes|
|25||Video1. Functions, trig||Chapters 1 & 2||9/19/06||Free||View In iTunes|
Simply The Best Calculus Resource
This podcast is Awesome, It helped me a lot this past quarter in calculus and I hope it will help me again. The lectures are long, but worth every minute. And obviously it is a podcast so you can pause it or do what you like. The professor is very clear and helpful in explaining everything. If you are having a hard time with Calculus or not, this is the best resource to understand the material. Professor (Adrian , that is what I just read on the other review) is not dull at all and quite entertaining at times. I have been watching these videos for a couple of months and I will continue doing so until I finish calculus.
Thank You Adrian Banner!
I bought the book The Calculus Lifesaver last semester, and I found the podcast a couple of days ago. I love the book so much. It is well written, and it is a great partner to my calculus textbook. This podcast basically goes over the book! How amazing. I am so grateful to the author for making this podcast and for the book as well. I got my book at Borders and I recommend it to everyone. The podcast is great, too!
I am so thankful I have a resource such as this for my class. I do not go to Princeton, but the information is relavent to the class I am in now. Who knew there would be videos of Cal. classes on iTunes? Great idea. I downloaded them to my iPhone so I can watch them when I am not at my computer and I feel like studying. The instructor is great and the content is also great!