Math1220 Calculus 2
Summer, 2018

Class Schedule/Information

Before classes start

• Quiz 0 on Monday will be review quiz from Calculus 1 topics
  
• For Monday's lecture, watch videos:
     1A & B Natural Logarithm (6.1)
     2 Inverse Functions (6.2)
     3 Natural Exponential Function & Its Derivative (6.3)
  
  

  WEEK 1:

  
  

  Monday, June 11

• Quiz 1 tomorrow will cover sections 6.1 and 6.2
  
• For tomorrow's lecture, watch videos:
     4A & B General Exponential/Logarithmic Functions & Their Derivatives (6.4)
     5A & B Exponential Growth & Decay (6.5)
  
  

  Tuesday, June 12

• Quiz 2 tomorrow will cover sections 6.3, 6.4 and 6.5
  
• For tomorrow's lecture, watch videos:
     6A & B Inverse Trigonometric Functions & Their Derivatives (6.8)
     7A & B Hyperbolic Functions & Their Derivatives (6.9)
     8A & B Basic Integration Rules (7.1)
  
  

  Wednesday, June 13

• Quiz 3 tomorrow will cover sections 6.8, 6.9, and 7.1
  
• For tomorrow's lecture, watch video:
     9A & B Integration by Parts (7.2)
  and start the midterm 1 review assignment (listed below).
  
  

  Thursday, June 14

• Midterm 1 tomorrow will cover sections 6.1-6.5, 6.8, 6.9, 7.1, 7.2
  
  

  Friday, June 15

• Quiz 4 on Monday will cover section 7.2 and review from week 1 topics
  
• For Monday's lecture, watch videos:
     10A & B Trigonometric Integrals (7.3)
     11A & B Rationalizing & Trigonometric Substitutions (7.4)
  
  

  WEEK 2:

  
  

  Monday, June 18

• Quiz 5 tomorrow will cover sections 7.3 and 7.4
  
• For tomorrow's lecture, watch videos:
     12A & B Integration of Rational Functions (Partial Fraction Decomposition) (7.5)
     13 Strategies for Integration (7.6)
     14 Indeterminate Types: 0/0 (8.1)
  
  

  Tuesday, June 19

• Quiz 6 tomorrow will cover sections 7.5 and 7.6
  
• For tomorrow's lecture, watch videos:
     15 Other Indeterminate Forms (8.2)
     16A & B Improper Integrals (8.3)
  
  

  Wednesday, June 20

• Quiz 7 tomorrow will cover sections 8.1, 8.2 and 8.3
  
• For tomorrow's lecture, watch video:
     17 Improper Integrals: Indefinite Integrands (8.4)
  
  

  Thursday, June 21

• Midterm 2 tomorrow will cover sections 7.2-7.6, and 8.1-8.3
  
  

  Friday, June 22

• Quiz 8 on Monday will cover section 8.4 and review from week 2 topics
  
• For Monday's lecture, watch videos:
     18A & B Infinite Sequences (9.1)
     19A, B & C Infinite Series (9.2)
  
  

  WEEK 3:

  
  

  Monday, June 25

• Quiz 9 tomorrow will cover sections 8.4, 9.1, and 9.2
  
• For tomorrow's lecture, watch videos:
     20A & B Positive Series: Integral Test(9.3)
     21A, B & C Positive Series Tests (9.4)
  
  

  Tuesday, June 26

• Quiz 10 tomorrow will cover sections 9.3 and 9.4
  
• For tomorrow's lecture, watch videos:
     22 Alternating Series (9.5)
     23 Power Series (9.6)
  
  

  Wednesday, June 27

• Quiz 11 tomorrow will cover sections 9.5 and 9.6
  
• For tomorrow's lecture, watch videos:
     24A & B Operations on Power Series (9.7)
  
  

  Thursday, June 28

• Midterm 3 tomorrow will cover sections 8.4, 9.1-9.7
  
  

  Friday, June 29

• Quiz 12 on Monday will be a review from week 3
  
• For Monday's lecture, watch videos:
     25A, B, & C Taylor and Maclaurin Series (9.8)
     26A & B Taylor Approximations (9.9)
  
  
  

  WEEK 4:

  
  

  Monday, July 2

• Quiz 13 on Wednesday will cover sections 9.8 and 9.9
  
• For Tuesday's lecture, watch videos:
     27A & B Polar Coordinates (10.5)
     28 Graphs of Polar Equations (10.6)
     29 Calculus of Polar Equations (10.7)
  
  

  Tuesday, July 3

• Quiz 14 tomorrow will cover sections 10.5 and 10.6
  
• For Thursday's lecture, watch videos:
     29 Calculus of Polar Equations (10.7)
  
• And start the final review assignment (listed below).
  
  

  Wednesday, July 4

  This is a school holiday...your assignment for today is to relax and have some fun (and possibly start studying for the final exam)!
  
  

  Thursday, July 5

• The final exam tomorrow will cover everything from chapters 6-10 that we have covered in this class.
  
  

  Friday, July 6

• The final celebration of what you know from 1220 is today!
  
  

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  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 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
    
    

    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
    
    
  • Sample Reference Card #3
    
    
  • 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)
    
    

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  Exam Reviews

  • Midterm 1 Review: (covers sections 6.1-6.5, 6.8, 6.9, 7.1, 7.2)
    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 and Key
    
    
  • Other exams:
    1. exam 1 (do #1-5) and Key
       
       
    2. exam 2 (do #1-5 and 7) Key
       
       
    
    
  • Midterm 2 Review: (covers sections 7.2-7.6, and 8.1-8.3)
    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 (answer key is contained in that document)
    
    
  • More Integral Practice and the Key
    
    
    
  • Midterm 3 Review: (covers sections 8.4, 9.1-9.7)
    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.
    
    
  • 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 TWO 8.5x11 inch sheets 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