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 6.1-6.5, 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 7.2-7.6, and 8.1-8.3
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, 9.1-9.7
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 6-10 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 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
- 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)
Algebra/Trigonometry Resources
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:
- 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, 9.1-9.6)
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
1-27 all, 33-37 all )
- Previous Midterm
3 and Key
- 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)
- Completing
the Square technique