Math1220 Calculus 2
Summer, 2017
Class Notes
Class Schedule/Information
 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)
Monday, June 12
 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 13
 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 14
 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 15
 Midterm 1 tomorrow will cover sections 6.16.5, 6.8, 6.9, 7.1, 7.2
Friday, June 16
 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)
Monday, June 19
 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 20
 Quiz 6 tomorrow will cover sections 7.5, 7.6, and 8.1
 For tomorrow's lecture, watch videos:
15 Other Indeterminate Forms (8.2)
16A & B Improper Integrals (8.3)
Wednesday, June 21
 Quiz 7 tomorrow will cover sections 8.2 and 8.3
 For tomorrow's lecture, watch video:
17 Improper Integrals: Indefinite Integrands (8.4)
Thursday, June 22
 Midterm 2 tomorrow will cover sections 7.27.6, and 8.18.3
Friday, June 23
 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)
Monday, June 26
 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 27
 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 28
 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 29
 Midterm 3 tomorrow will cover sections 8.4, 9.19.7
Friday, June 30
 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)
27A & B Polar Coordinates (10.5)
Monday, July 3
 Quiz 13 on Wednesday will cover sections 9.8, 9.9 and 10.5
 For Wednesday's lecture, watch videos:
28 Graphs of Polar Equations (10.6)
29 Calculus of Polar Equations (10.7)
Tuesday, July 4
This is a school holiday...your assignment for today is to relax and have some fun!
Wednesday, July 5
 Quiz 14 tomorrow will cover sections 10.5, 10.6 and 10.7
 For tomorrow's lecture, start the final review assignment
(listed below).
Thursday, July 6
 The final exam tomorrow will cover
everything from chapters 610 that we have covered in this class.
Friday, July 7
 The final celebration of what you know from 1220 is today!
Extra Problems/Reference materials
 Completing
the Square technique
 Lecture
video on Completing the Square (watch #8B video or
look at 8AD 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)/(x1)?
 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
 Missing
Integral Tables from back of your book (pages 12)
 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)
Algebra/Trigonometry Resources
Exam Reviews
 Midterm 1
Review: (covers sections 6.16.5,
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:
 Midterm 2
Review: (covers sections 7.27.6,
and 8.18.3)
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, 9.19.6)
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 Book Assignment

Midterm 3 Review (Extra Problems) (problems
127 all, 3337 all )
 Previous Midterm
3 and Key
 Final
Review: (covers sections 6.16.5,
6.8, 6.9, 7.17.6, 8.18.4, 9.19.9, 10.510.7)
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)
 Completing
the Square technique