# Math 1232: Single-Variable Calculus II Section 11 Spring 2021

#### Contact Info Spring 2021

Office: Blackboard
Email: jaydaigle@gwu.edu

Office Hours:

#### Course Information

Lecture:

• TR 4:45 PM–6:00 PM
• on Blackboard

TA

Office Hours:

• TBD
• Online

Official textbook:

• Calculus, 8th Edition
• James Stewart
• ISBN: 1-978-1285740621

Other references:

###### Recitations

Section 33:

• F 8:00 AM–8:50 AM
• Online

Section 34:

• F 9:35 AM–10:25 AM
• Online

Section 34:

• F 11:10 AM–12:00 Noon
• Online

## Daily Assignments

##### May 4: It’s over!
• Final Exam due May 4 at midnight
• New WeBWorK 13 due
• All old WeBWorKs have been reopened, and will close on this date
• Final Exam due

### Week 15 Office hours

• Monday 1:30 – 3:30 on Discord
• Tuesday 5 – 7 on Zoom
• Wednesday 5:30 – 7:30 on Discord
• Thursday 2:30 – 4:30 on Zoom
• Friday 5 – 7 on Zoom
• Saturday 5 – 7 on Discord

### Week 14

Slides

##### April 21: WeBWorK due
• Request a topic for this week’s mastery quiz if you want to retest something before topic 1

Slides

### Week 13

Slides

• Read one of:
##### April 14: WeBWorK due
• Request a topic for this week’s mastery quiz if you want to retest something before topic 17 (Now actually live as of 3 AM April 14, sorry)
• I realize the WeBWorK is open through the 16th; that was a mistake on my part. I’m going to leave it open, but encourage you to try to finish for today as usual.
##### April 13: Applications of Taylor Series

Slides

• Read one of:
• §5.5 of the online notes (Posted 28 March)
• Stewart §11.11
• Strang and Herman §6.4
• Read the solutions to Mastery Quiz 10

### Week 12

Slides

##### April 7: WeBWorK due
• Request a topic for this week’s mastery quiz if you want to retest something before topic 15
##### April 6: Taylor Series

Slides

• Read one of:
• §5.3 of the online notes (Posted 28 March)
• Stewart §11.10
• Strang and Herman §6.3
• Read the solutions to Mastery Quiz 9

### Week 11

##### April 1: Power Series as Functions

Slides

• How is it April already?
• Read one of:
##### March 30: Power Series

Slides

• Read one of:
• Read the solutions to Mastery Quiz 8

### Week 10

##### March 25: Absolute Convergence and the Ratio and Root tests

Slides

• Read one of:
• §4.6-7 of the online notes
• Stewart §11.6 (And 11.7 might be helpful review)
• Strang and Herman second half of §5.5 and all of §5.6
##### March 24: WeBWorK due
• Request a topic for this week’s mastery quiz if you want to retest something before 11

Slides

### Week 9

Slides

##### March 10: WeBWorK due
• Request a Topic for this week’s mastery quiz, if you want to reattempt a topic before topic 9

Slides

### Week 8

##### March 5: WeBWorK not due today

Got it up late so I just made the whole thing due next Tuesday.

Slides

##### March 2: Midterm due 7 PM EST.
• Read the solutions to mastery quiz 6.
• No class meeting, but I will be in the Blackboard during our usual class time. If you want to take the test and know I’ll be available to answer questions, this is a good time to do it.
• Midterm due at 7 PM

### Week 7

##### February 26: Mastery Quiz Due

(Updated Feb 25 3:15! Fixed typo in 11a)

Slides

##### February 24: WeBWorK due
• Request a topic for this week’s mastery quiz, if you want to reattempt a topic before topic 7

Slides

### Week 6

Slides

##### February 17: WeBWorK due

I know it’s set to due on the 19th in the system. I’m not going to change that but you should aim to have it done on Wednesday anyway.

Slides

Slides

Slides

Slides

Slides

Slides

Slides

### Week 2

Slides

##### January 19: Derivatives with Exponentials and Logarithms

Slides

• Test WeBWorK set due
• Read one of:

### Week 1

##### January 14: The Exponential and the Logarithm

Slides

• Read one of:
• §1.2 of the online notes
• Stewart §6.2 and §6.3, ignoring the derivative and integral sections
• Strang and Herman Volume 1 §1.5
• WeBWorK due January 19 and another due January 20.
##### January 12: Syllabus and Inverse Functions

Slides

• Claim your account on WeBWorK. Username is your gwu email at gwu.edu (with no “gwmail” in the address!) and password is your student ID (please change this!)
• Read Professor Bonin’s advice on study skills
• Read one of:
• Bonus material:
• Video on how the inverse of a function involves reflecting the graph across the line $y=x$.

## Course Goals

This is the second semester of a standard year-long sequence in single-variable calculus. The main topics are the behavior, derivatives, and integrals of inverse functions; advanced techniques of integration; sequences, series, and Taylor series; some applications of the integral; differential equations; and parametrized curves and polar coordinates. This corresponds to Chapters 6–11 of Stewart (primarily 6, 7, 11) and Chapters 1–7 of Herman–Strang (primarily 3, 5, 6).

By the end of the course, students will acquire the following skills and knowledge: Students will Define logarithm, exponential, and inverse trigonometric functions, explain their basic properties (continuity, derivatives, asymptotes, etc.) and recognize their graphs; Apply these functions to word problems, and correctly interpret the results; Solve integrals using integration by parts, trigonometric substitution and partial fractions; Analyze, create and recognize polar and parametric graphs; Categorize the convergence of an infinite series; Express algebraic and transcendental functions using Maclaurin and Taylor series.

The course syllabus is available here.

## Mastery Quizzes

The topics for the quizzes are:

1. Inverse Functions
2. Exponential and Logarithm
3. Derivatives of Exponentials and Logarithms
4. Integrals involving Exponentials and Logarithms
5. Inverse Trigonometric Functions
6. L’Hospital’s rule
7. Integration by Parts
8. Trigonometric Integrals
9. Partial Fractions
10. Numeric Integration
11. Improper Integrals
12. Arc Length and Surface Area
13. Separable Differential Equations
14. Sequences
15. Geometric and Telescoping Series
16. Divergence and Integral Tests
17. Comparison Test and Limit Comparison Test
18. Absolute and Conditional Convergence
19. Power Series
20. Power Series as Functions
21. Theory of Taylor Series
22. Computing Taylor Series
23. Applications of Taylor series
24. Parametrization

## Tests

Graphing calculators will not be allowed on tests. Scientific, non-programmable calculators will be allowed. I will have some to share, but not enough for everyone.

## Textbook

The official textbook for Math 1232 is Calculus, 8th edition by James Stewart (ISBN-13: 978-1285740621, ISBN-10: 1285740629). It is a very good (and very expensive) textbook. If you go on to take Calculus 2 or Multivariable Calculus at GW, you will also need this book for those classes.

Another perfectly fine book is Calculus 2, by Gilbert Strang and Jed Herman. It is available for free online here.

I will be loosely following Stewart, and will attempt to give references to both books whenever I can. I will not assign problems from either book, but both will contain many problems for if you need extra practice.

Do not purchase Calculus: Early Trancendentals, also by Stewart: it is not the same book as Calculus and it is not used in any mathematics course at GW.

This section of Math 1232 will not use WebAssign.