Calculus

Updated 10-03-14

I am not currently teaching this course so this page is unlikely to be updated.

Back to home:  Ms. Walkup's Home Page  

Classroom documents: 

• Syllabus:  Download

• Classroom Expectations:  Download

• Class Participation Rubric: Download

• Home Work Rubric: Download

Grading: 

Homework, Classwork, and Participation:  15%

Tests & Quizzes 70%

Quarterly Assessments:  15%

Online Resources:

Sosmath.com.  I discovered this site in college and have been a huge fan ever since:  http://sosmath.com

MIT Open Courseware:  If you need a second look at what we covered in class, take a look at some of the video lectures here:  MIT Calculus

Kahn Academy:  http://www.khanacademy.org/

e Math Help:  A great resource for Algebra 2 to Calculus!  http://www.emathhelp.net

A graphing calculator simulator:  http://www.emathhelp.net/calculators/calculus-1/online-graphing-calculator/

Documents from class:

Limits:

Limit Laws:  

Some notes on limits and continuity:  

Limits and Continuity - Limits to Infinity:  

MIT videos on discontinuity:  Link

Limits Part 2 - Review Problems:  

Limits Part 2 - Answers to Review Problems (2 documents): Download 1,  Download 2

Chapter 2:  Definition of Derivative:

Derivatives of Sin & Cos videos:  Link

2.6 Continuity and Differentiability:  Look at the "Recitation video" here:  Link

Chapter 3:  Differentiation:

As we move into using the definition of derivative to find more derivative shortcuts, you may find sessions 9, 10, and 11 helpful for review:  Link

For extra background working with a^x, you may wish to review the videos here:  Link

3.1 - 3.3 Classwork, homework, and answers:  

3.4:  The MIT site has a very good discussion of the Chain Rule:  Link

3.4 Chain Rule and 3.5 Trig Functions HW with answers:  

If you came here for the HW answers and are looking for some entertaining reading, check out this "What If" article:  http://what-if.xkcd.com/20/

3.6  Chain Rule and Inverse Functions - If you need to see this one more time, MIT does it here:  MIT Link

3.7  Implicit Differentiation - If you need to see this one more time, MIT does it here:  MIT Link

3.6, 3.7 CW / HW sheet with answers:  

3.9 - Linear approximations - For MIT's take on them, look over this session and the next:  Link

Chapter 4:  Applications of Derivatives 

4.1 - This is the pdf I will be using in class: .

4.2 - Here is a brief demonstration of translating / transforming families of graphs.  Link.  

       -  Here is MIT's take on curve sketching.  Link.

       - Here is the document from the other book I had up in class. . 

4.5 - Here is the answer to #20 done out: .

      -  Here are the 4.5 Angry Mike Worksheet answers:   

Q2 PRACTICE Common Task:  Here is the practice common task prompt:  

                       And here are the practice common task solutions:   

4.6 - MIT's video lesson on Related Rates:  Link.

4.5, 4.6 - Here are a few sample problems from the book's selected sample test questions.  Answers with shown work are included. .

4.7 - Answers to Page 311 / 312 wkst:  Download.  The problem sheets are below with the attachments.

Chapter 5:  The Definite integral

Some spiffy Calculus apps from your book:  http://higheredbcs.wiley.com/legacy/college/hugheshallett/0470089148/applets/HHapplets.htm

There is a nice one for section 5.1 in there.

Here's where MIT starts dealing with definite integrals:  Link.

Holy grail of math class:  http://www.wolframalpha.com

Chapter 6:  Constructing Antiderivatives

6.1, 6.2:  Here are some sample homework and classwork problems with answers: 

6.4:  Second Fundamental Theorem of Calculus:  I recommend checking out MIT's introductory videos on this concept, especially the recitation videos.  Link

        You may be wondering why we need two variables in our integrals.  Here's a good explanation of why:  Link.

Chapter 7:  Antiderivatives

7.1:  Antiderivatives through substitution via MIT:  Link.

7.2:  Integration by parts:  Short and sweet.  http://xkcd.com/1201/

        For those of you wondering about tabular integration from the other class, here is a good link explaining how to do it:   Link.