Math1220 Calculus 2
Summer, 2015
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 15
 Quiz 1 tomorrow will cover sections 6.1, 6.2 and 6.3
 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 16
 Quiz 2 tomorrow will cover sections 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 17
 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 18
 Midterm 1 tomorrow will cover sections 6.16.5, 6.8, 6.9, 7.1, 7.2
Friday, June 19
 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 22
 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 23
 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 24
 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 25
 Midterm 2 tomorrow will cover sections 7.27.6, and 8.18.3
Friday, June 26
 Quiz 8 on Monday will be review quiz 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 29
 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 30
 Quiz 10 tomorrow will cover sections 9.3 and 9.4
 For tomorrow's lecture, watch videos:
22 Alternating Series (9.5)
Wednesday, July 1
 Midterm 3 tomorrow will cover sections 8.4, 9.19.4
Thursday, July 2
 Quiz 11 on Monday will be a review from week 3
 For Monday's lecture, watch videos:
23 Power Series (9.6)
24A & B Operations on Power Series (9.7)
Friday, July 3
This is a school holiday (July 4th observed)...your assignment for today is to relax and have some fun!
Monday, July 6
 Quiz 12 tomorrow will cover sections 9.5, 9.6 and 9.7
 For tomorrow'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)
Tuesday, July 7
 Quiz 13 tomorrow will cover sections 9.8 and 9.9
 For tomorrow's lecture, watch videos:
28 Graphs of Polar Equations (10.6)
29 Calculus of Polar Equations (10.7)
Wednesday, July 8
 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 9
 The final exam tomorrow will cover
everything from chapters 610 that we have covered in this class.
Friday, July 10
 The final celebration of what you know from 1220 is today!
Class Notes
 6.1  6.5, 6.8, 6.9, 7.1 Notes
 7.2  7.6 Notes
 8.1  8.4 Notes
 9.1  9.4 Notes
 9.5  9.9 Notes
 10.5  10.7 Notes
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)
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
and Key (answers to even numbered problems)

Extra Review Problems
and Key
 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 (what I handed out in class) and the Key
 Midterm 3
Review: (covers sections 8.4, 9.19.4)
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 3 Review Assignment

Midterm 3 Review (Extra Problems) (problems
15 all, 9, 10, 12, 13, 14, 16, 17, 19, 2227 all )
 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