Calculus II

This page contains links to the videos and screenshots of my Calculus II lectures.

The textbook is: James Stewart, Calculus, Metric Version, 8th Edition, Cengage Learning, 2015.

(Videos of Calculus I are here)

Videos of Week 01 Screenshots Title Exam Solutions
Day 01 Lecture 01 Day 01 Lecture 01 Vectors
Day 01 Lecture 02 Day 01 Lecture 02 Dot Product

Day 02 Lecture 03 Day 02 Lecture 03 Cross Product
Day 02 Lecture 04 Day 02 Lecture 04 Lines and Planes
 
Videos of Week 02 Screenshots Title Exam Solutions
Day 03 Lecture 05 Day 03 Lecture 05 Problems on Vectors
Day 03 Lecture 06 Day 03 Lecture 06 Parametric Curves

Day 04 Lecture 07 Day 04 Lecture 07 Arclength of Parametric Curves Quiz #1
Day 04 Lecture 08 Day 04 Lecture 08 Functions of Several Variables

 
Videos of Week 03 Screenshots Title Exam Solutions
Day 05 Lecture 09 Day 05 Lecture 09 Limits and Continuity-I
Day 05 Lecture 10 Day 05 Lecture 10 Limits and Continuity-II

Day 06 Lecture 11 Day 06 Lecture 11 Problems on Limits Quiz #2
Day 06 Lecture 12 Day 06 Lecture 12 Partial Derivatives

 
Videos of Week 04 Screenshots Title Exam Solutions
Day 07 Lecture 13 Day 07 Lecture 13 Partial Derivatives and Tangent Planes
Day 07 Lecture 14 Day 07 Lecture 14 Linear approximation

Day 08 Lecture 15 Day 08 Lecture 15 Chain Rule Quiz #3
Day 08 Lecture 16 Day 08 Lecture 16 Implicit Differentiation and Directional Derivatives

 
Videos of Week 05 Screenshots Title Exam Solutions
Day 09 Lecture 17 Day 09 Lecture 17 Gradient and the tangent planes
Day 09 Lecture 18 Day 09 Lecture 18 Min & Max of functions of several variables

Day 10 Lecture 19 Day 10 Lecture 19 The Second Derivative Test
Day 10 Lecture 20 Day 10 Lecture 20 Problems on Min/Max Quiz #4

 
Videos of Week 06 Screenshots Title Exam Solutions
Day 11 Lecture 21 Day 11 Lecture 21 More problems on min/max
Day 11 Lecture 22 Day 11 Lecture 22 Absolute min/max problems

Day 12 Lecture 23 Day 12 Lecture 23 Lagrange multipliers method
Day 12 Lecture 24 Day 12 Lecture 24 Problems on Lagrange Multipliers Midterm Exam-I

 
Videos of Week 07 Screenshots Title Exam Solutions
Day 13 Lecture 25 Day 13 Lecture 25 Double integrals over rectangles
Day 13 Lecture 26 Day 13 Lecture 26 Double integrals over general regions

Day 14 Lecture 27 Day 14 Lecture 27 Problems on double integrals
Day 14 Lecture 28 Day 14 Lecture 28 More problems on double integrals Quiz #5

 
Videos of Week 08 Screenshots Title Exam Solutions
Day 15 Lecture 29 Day 15 Lecture 29 Double integrals in polar coordinates
Day 15 Lecture 30 Day 15 Lecture 30 Problems on double integrals in polar coordinates

Day 16 Lecture 31 Day 16 Lecture 31 Triple integrals
Day 16 Lecture 32 Day 16 Lecture 32 Problems on triple integrals Quiz #6

 
Videos of Week 09 Screenshots Title Exam Solutions
Day 17 Lecture 33 Day 17 Lecture 33 Cylindrical coordinates and problems
Day 17 Lecture 34 Day 17 Lecture 34 More problems on cylindrical coordinates

Day 18 Lecture 35 Day 18 Lecture 35 Spherical coordinates
Day 18 Lecture 36 Day 18 Lecture 36 Change of variables in multiple integrals Quiz #7

 
Videos of Week 10 Screenshots Title Exam Solutions
Day 19 Lecture 37 Day 19 Lecture 37 Problems on multiple integrals
Day 19 Lecture 38 Day 19 Lecture 38 Sequences

Day 20 Lecture 39 Day 20 Lecture 39 Theorems on sequences
Day 20 Lecture 40 Day 20 Lecture 40 Problems on sequences Quiz #8

 
Videos of Week 11 Screenshots Title Exam Solutions
Day 21 Lecture 41 Day 21 Lecture 41 Series
Day 21 Lecture 42 Day 21 Lecture 42 The integral test

Day 22 Lecture 43 Day 22 Lecture 43 The comparison tests
Day 22 Lecture 44 Day 22 Lecture 44 Problems on series Quiz #9
Midterm Exam-II

 
Videos of Week 12 Screenshots Title Exam Solutions
Day 23 Lecture 45 Day 23 Lecture 45 Alternating series test
Day 23 Lecture 46 Day 23 Lecture 46 Problems on series

Day 24 Lecture 47 Day 24 Lecture 47 Absolute and conditional convergence
Ratio and root tests

Day 24 Lecture 48 Day 24 Lecture 48 Problems on series Quiz #10

 
Videos of Week 13 Screenshots Title Exam Solutions
Day 25 Lecture 49 Day 25 Lecture 49 Power series
Day 25 Lecture 50 Day 25 Lecture 50 More power series

 
Videos of Week 14 Screenshots Title Exam Solutions
Day 26 Lecture 51 Day 26 Lecture 51 Geometric series
Day 26 Lecture 52 Day 26 Lecture 52 Taylor series

Day 27 Lecture 53 Day 27 Lecture 53 Taylor series
Day 27 Lecture 54 Day 27 Lecture 54 tanx and binomial series Quiz #11

 
Videos of Week 15 Screenshots Title Exam Solutions
Day 28 Lecture 55 Day 28 Lecture 55 Binomial series
Day 28 Lecture 56 Day 28 Lecture 56 Applications & Irrationality of e Final Exam


Acknowledgments
This is only one section of the Calculus course that has 16 section 842 students. This giant body is masterfully coordinated by Okan (The Wizard) Tekman. His smooth and intelligent coordination relieves us free to concentrate on teaching alone. The videos are shot, edited and uploaded by Emre Müderrisoğlu who kindly agreed to prepare the screen-shots of each course on top of his usual work. I am indebted to these two gentlemen for being an example and inspiration of excellence for us all.



Ali Sinan Sertöz



For questions