Calculus II (MAC 2312) — Fall 2016

Instructor: Christopher Stover (webpage)
Email: cstover (at) math (dot) fsu (dot) edu
Office: MCH 402F
Office Hours: WF 12:00pm to 1:30pm or by appointment
Meeting Location: 102 LOV
Meeting Times:
Mondays ‐ 5:30pm to 6:05pm
Tuesdays & Thursdays ‐ 5:30pm to 6:15pm
Final Exam:
Thursday, December 15, 5:30pm to 7:30pm
Syllabus: .pdf
Required Text:
Calculus: Early Transcendentals, 7th Edition, by James Stewart. (Amazon)
Supplementary Resources:
  • Slack Show Details

    Slack is an organization-centered chat tool that allows largescale collaboration, discussion, and interaction. Think of it as a chat room on steroids!

    While I'll always be available (unless otherwise noted) during office hours and via email, Slack will allow evveryone the opportunity to chat with me + other classmates, both in real-time and asynchronously. It's an extremely valuable resource!

    Slack can be used directly from any Internet browser. Our class's room info is:

    To get started, you should:

    1. Navigate to the signup page
    2. Enter your 
      my.fsu.edu
      email address; make sure you're able to check the email address you enter or else you'll miss any confirmation emails, etc.
    3. Feel free to email me at any time if you have trouble signing up.

    Note: Slack can be used directly from any Internet browser with no installation needed. However, you can also install it on any computer, phone, tablet, etc., so that you have access to our course chat at all times. For more information about installing Slack, see: https://slack.com/downloads.

  • Blackboard Show Details

    I'll make use of Blackboard for announcements, sharing of documents, and gradebook maintenance. My goal is to keep this webpage synced up with all of that data except the gradebook, however, so by and large, you likely won't need to check both this site and the Blackboard page.

    As of now, you should all be added to the Blackboard site automatically. If you're not sure how to find it, you should:

    1. Navigate to MyFSU.
    2. Sign in with your FSU username and password.
    3. Click on the BlackBoard icon in the left column.
    4. Locate course number 
      MAC2312-0011
      under FSU Class Schedule.

  • Web Assign Show Details

    WebAssign is an online homework and grading system used in various courses at FSU. It contains problem sets for which students can receive immediate feedback as well as an online copy of the textbook.

    For our class, the WebAssign problem sets will be additional practice which will not be directly factored into the homework/quiz portion of your final grade. However, you should note that:

    • Doing lots of problems is a proven way to succeed in math courses, and WebAssign will provide that opportunity along with instant feedback.
    • WebAssign will be a convenient tool for me to use to pick problems to put on homework/quizzes/exams. For that reason, the more problems you do on WebAssign, the more familiar you'll be with stuff I'm likely to give you later.

    You can access WebAssign directly from our Blackboard site:

    Alternatively, you can log in directly from the WebAssign login page using your username (presumably, your 
    my.fsu.edu
    user name), our institution code (
    fsu
    ), and your password (whatever you chose for that). If you forget your password, you can reset it here: WebAssign Password Reset.
Below is a calendar highlighting the important dates for our class this semester. To access it from a web browser and/or to import it into your personal apps, use the HTML and/or iCal link(s):   HTML Link   –   iCal Link
Homework 1: Handout
Homework 2: Handout
Homework 3: Handout   Solutions
Homework 4: Handout   Solutions: 1 2 3 4 5 6

Corrections:

3(d): Increasing: $(\pi/2,\pi)\cup(3\pi/2,2\pi)$; Decreasing: $(0,\pi/2)\cup(\pi,3\pi/2)$;

3(e): $\frac{d^2y}{dx^2}=\csc^3(t)$.
Homework 5: Handout   Solutions

Corrections:

4(h): This limit does not exist. I'd wanted to ask about the limit without the $(-1)^n$ term there, in which case the sequence converges to $1/3$ (prove it!).

8(c): $s_2=\frac{1}{4}; s_4=\frac{1}{3}; s_6=\frac{3}{8}$

8(d): $s_2=\frac{154}{9}; s_4=\frac{20020}{81}; s_6=\frac{2434894}{729}$
Homework 6: Handout   Solutions
Final-Related:
Formula Sheet: .pdf
Power series example: .pdf

Note: This note works (in detail) the interval and radius of convergence for the power series $\sum_{n=0}^\infty\frac{x^n}{n\left(\ln(n)\right)^{1/2}}$.
Sequences & Series:
Various Laws/Theorems/Rules About Sequences: .pdf
Series Tests: .pdf
How to Determine Series Convergence (Step-By-Step): .pdf   short A4-version
Parametric & Polar Stuff:
Parametric Curves You Should Know: .pdf
Curves You Should Know: .pdf
Polar Regions Related to HW4 #13(a): .pdf  (see also)
Integral Stuff:
Integrals & Integration Techniques You Should Know: .pdf
Trig Integrals: .pdf
Trig Substitution: .pdf
Sample Questions for Approximate Integration: .pdf
Exams:
Exam 1: .pdf   Solutions
Exam 2: .pdf   Solutions
Exam 3: .pdf   Solutions
Exam 4: .pdf   Solutions
Miscellaneous Handouts:
First-Day Handout: .pdf
My Schedule: .pdf
Section 11.2: Notes

Addendum:

$\circ$ Geometric series: The indices for geometric series can be written as either $\sum_{n=0}^\infty ar^n$ or as $\sum_{n=1}^\infty ar^{n-1}$.

$\circ$ Convergence: Note that convergence is a statement about the eventual behavior of the series. In particular, $\sum_{n=1}^\infty a_n$ converges if and only if $\sum_{n=N}^\infty a_n$ converges for all finite integers $N\geq 1$. This will be important in subsequent sections.
Section 11.3: Notes
Section 11.4: Notes
Section 11.5: Notes
Why $dy/dx$ is kinda sorta a fraction but not really: 1 (!!!)  2  3  4  5  6

And similar stuff about differentials $dx$, $dy$, etc.: 1  2  3  4

...and other related things about $d/dx(y)$ and $dy/dx$ about how $dy/dx(dx)=dy$ and...: 1  2  3
Families of parametric curves Wolfram|Alpha knows:
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