Math1220 Calculus 2
Spring, 2018

Class Notes

Class Schedule/Information

Week 1 (January 8-12)

• For Monday's class: Intro/be prepared for review assignment
• For Tuesday's class: watch 1A & 1B Natural Logarithm lecture videos (6.1)
• For Wednesday's class: watch 2 Inverse Functions lecture video (6.2)
• For Friday's class: be prepared for class activity to review material.
  
  

  Week 2 (January 15-19)

• For Monday's class: relax, Monday is a holiday!
• For Tuesday's class: watch 3 Natural Exponential Function & Its Derivative lecture video (6.3)
• For Wednesday's class: watch 4A & 4B General Exponential/Logarithmic Functions & Their Derivatives lecture videos (6.4)
• For Friday's class: be prepared for class activity to review material.
  
  

  Week 3 (January 22-26)

• For Monday's class: watch 5A & 5B Exponential Growth & Decay lecture videos (6.5)
• For Tuesday's class: watch 6A & 6B Inverse Trigonometric Functions & Their Derivatives lecture videos (6.8)
• For Wednesday's class: watch 7A & 7B Hyperbolic Functions & Their Derivatives lecture videos (6.9)
• For Friday's class: be prepared for class activity to review material.
  
  

  Week 4 (January 29-February 2)

• For Monday's class: watch 8A & 8B Basic Integration Rules lecture videos (7.1)
• For Tuesday's class: be prepared to ask questions as review for first midterm.
• For Wednesday's class: be prepared to take the group portion of Midterm 1.
• For Friday's class: be prepared to take the Midterm 1.
  
  

  Week 5 (February 5-9)

• For Monday's class: watch 9A & 9B Integration by Parts lecture video (7.2)
• For Tuesday's class: watch 10A & 10B Trigonometric Integrals lecture videos (7.3)
• For Wednesday's class: watch 11A & 11B Rationalizing & Trigonometric Substitutions lecture videos (7.4)
• For Friday's class: be prepared for class activity to review material.
  
  

  Week 6 (February 12-16)

• For Monday's class: be prepared to do more examples from 7.4
• For Tuesday's class: watch 12A & 12B Integration of Rational Functions lecture videos (7.5)
• For Wednesday's class: watch 13 Strategies for Integration lecture video (7.6)
  Note: You can also watch 13.5A & 13.5B lecture videos for extra Integration practice
  
• For Friday's class: be prepared for class activity to review material.
  
  

  Week 7 (February 19-23)

• For Monday's class: relax, Monday is a holiday!
• For Tuesday's class: watch 14 Indeterminate Types: 0/0 lecture video (8.1)
• For Wednesday's class: watch 15 Other Indeterminate Forms lecture video (8.2)
• For Friday's class: be prepared for class activity to review material.
  
  

  Week 8 (February 26-March 2)

• For Monday's class: watch 16A & 16B Improper Integrals lecture videos (8.3)
• For Tuesday's class: be prepared to ask questions as review for second midterm.
• For Wednesday's class: be prepared to take the group portion of Midterm 2.
• For Friday's class: be prepared to take the Midterm 2.
  
  

  Week 9 (March 5-9)

• For Monday's class: watch 17 Improper Integrals: Indefinite Integrands lecture videos (8.4) Note: To be prepared for chapter 9, watch 17.5A & 17.5B Sequence/Series/Patterns Introduction & Practice lecture videos
• For Tuesday's class: watch 18A & 18B Infinite Sequences lecture videos (9.1)
  
• For Wednesday's class: watch 19A & 19B Infinite Series lecture videos (9.2)
• For Friday's class: be prepared for class activity to review material.
  
  

  Week 10 (March 12-16)

• For Monday's class: watch 20A & 20B Positive Series: Integral Test lecture videos (9.3)
• For Tuesday's class: be prepared to do more practice for sections 9.2-9.3
• For Wednesday's class: watch 21A & 21B & 21C Positive Series: Ordinary Comparison Test, Limit Comparison Test, Ratio Test lecture videos (9.4)
  
• For Friday's class: be prepared for class activity to review material.
  
  

  Spring Break: March 19-23 is Spring Break--there is NO school!

  
  

  Week 11 (March 26-30)

• For Monday's class: be prepared to do more practice for sections 9.2-9.4
• For Tuesday's class: watch 22 Alternating Series lecture video (9.5)
• For Wednesday's class: watch 23 Power Series lecture video (9.6)
• For Friday's class: be prepared for class activity to review material.
  
  

  Week 12 (April 2-6)

• For Monday's class: watch 24A & 24B Operations on Power Series lecture videos (9.7)
• For Tuesday's class: be prepared to ask questions as review for third midterm.
• For Wednesday's class: be prepared to take the group portion of Midterm 3.
• For Friday's class: be prepared to take the Midterm 3.
  
  

  Week 13 (April 9-13)

• For Monday's class: watch 25A Taylor and Maclaurin Series (part 1) lecture video (9.8)
• For Tuesday's class: watch 25B & 25C Taylor and Maclaurin Series (parts 2 and 3) lecture videos (9.8)
• For Wednesday's class: watch 26A & 26B Taylor Approximations (parts 1 & 2) lecture videos (9.9)
• For Friday's class: be prepared for class activity to review material.
  
  

  Week 14 (April 16-20)

• For Monday's class: be prepared to do more practice for sections 9.8 & 9.9
  
• For Tuesday's class: watch 27A & 27B Polar Coordinates (parts 1 & 2) lecture videos (10.5)
  
• For Wednesday's class: watch 28 Graphs of Polar Equations lecture video (10.6)
• For Friday's class: be prepared for class activity to review material.
  
  

  Week 15 (April 23-26)

• For Monday's class: watch 29A & 29B Calculus of Polar Equations lecture videos (10.7)
• For Tuesday's class: be prepared to do more practice for sections 10.6-10.7
  
  

  Week 16 (April 27-May 2) Final Exams Week
  Math1220-01 (8:35 am class)	Math1220-04 (12:55 pm class)
  Final Review, Monday, April 30, 9:30-11:00 am (JTB 140)	Final Review, Friday, April 27, 1:00-2:30 pm (JFB 102)
  Final Exam, Tuesday, May 1, 8:00-10:00 am	Final Exam, Monday, April 30, 1:00-3:00 pm

  
  
  

Extra Problems/Reference materials

Algebra/Trigonometry Resources

• Completing the Square technique
  
  
• Lecture video on Completing the Square (watch #8B video or look at 8A-D Post Notes)
  
  
• Unit Circle (Trigonometry)
  
  

  Miscellaneous Homework Problems or Examples

• Section 6.8 Homework Problems #71 and 73
  
  
• Chapter 7 Problems (7.2 #55 & 7.5 #33)
  
  
• 7.2 Notes Examples 3 and 6
  
  
• Cosecant and Secant integrals
  
  
• Section 7.5 Example 2 from notes
  
  
• Section 7.5 Example 3 from notes
  
  
• Section 8.4 #31 and 33
  
  
• Section 9.2 HW Problems #33 and 35
  
  
• Is tanh(x) same as 0.5ln|(x+1)/(x-1)|?
  
  
• 9.4 and 9.5 proof problems from book
  
  
• 9.9 Example 3b (from notes)
  
  
• Divisibility by 9 proof
  
  

  Sample Reference Cards/Formula Sheets

• Sample Reference Card #1 (Note: The derivatives of both arctan(x) and arccot(x) need the radical removed from denominator, and the derivative of arccot(x) needs to be multiplied by -1.)
  
  
• Sample Reference Card #2
  
  
• Missing Integral Tables from back of your book (pages 1-2)
  
  
• Missing Integral Table from back of your book (page 3)
  
  

  Infinite Series Resources

• Series Test Flow Chart
  
  
• Series Test Results
  
  
• nth Root Test (another positive series test)
  
  

Exam Reviews

• Midterm 1 Review: (covers sections 6.1-6.5, 6.8, 6.9, 7.1)
  Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.
  
  
• Midterm 1 Review Book Assignment
  
  
• Extra Review Problems (do all BUT 5a, 5e, 5m) and Key
  
  
• Several old 1220 exams from other faculty (Look mostly at exam 1 examples)
  
  
  
• Midterm 2 Review: (covers sections 7.2-7.6, and 8.1-8.4)
  Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.
  
  
• Midterm 2 Review Book Assignment
  
  
• Extra Review Problems (DO only #1-42) (answer key is contained in that document)
  
  
• More Integral Practice and the Key
  
  
• Several old 1220 exams (Look mostly at exam 2 examples)
  
  
  
• Midterm 3 Review: (covers sections 8.4, 9.1-9.6)
  Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.
  
  
• Midterm 3 Review Assignment (remember that the solutions to book problems are posted in the Files tab on Canvas)
  
  
• Midterm 3 Review (Extra Problems) (problems 1-27 all and 33-37 all )
  
  
• Several old 1220 exams (Look mostly at exam 2 or 3 examples and focus on the problems dealing with sequences and series)
  
  
  
• Final Review: (covers sections 6.1-6.5, 6.8, 6.9, 7.1-7.6, 8.1-8.4, 9.1-9.9, 10.5-10.7)
  Note: For the exam, you may bring one 8.5x11 inch sheet of paper of notes (front and back). No electronics allowed during the exam.
  
  
• Final Review Assignment
  
  
• Extra Final Review Problems
  
  
• One More Final Review (an old final exam)
  
  
  Someone else's old final exams that would be useful to complete/study:
  
  • Final Exam A and its Key
    
    
  • Final Exam B (do NOT do #10) and its Key
    
    
  • Final Exam C (do NOT do #10 or 13c) and its Key