# Mid Term Exammr. Mac's Class Website

## Course Information

Math1220-01 (8:35 am class)Math1220-04 (12:55 pm class)
Syllabus-01Syllabus-04
Course Outline-01 (Schedule) Course Outline-04 (Schedule)

• Suggested Homework Assignments
• Mgf 1106 Midterm Exam. Mac's Math Class. 70 Church Street, Millbrook, New York 12545, United States. Start studying Mac Study Guide. Learn vocabulary, terms, and more with flashcards, games, and other study tools.

• Calculus Book Information
• Instructions on how to get points back for your daily Canvas Quizzes

### Class Notes

• Chapter 6 Notes
• Chapter 7 Notes
• Chapter 8 Notes
• Chapter 9 Notes
• 10.5 - 10.7 Notes

• ### Mid Term Exammr. Mac's Class Websites

Calculus 2 Lecture Videos (Note: All videos listed below by name refer to videos on this link.)

## 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.

## 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 sequencesand 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