Math 191 - Calculus I

Welcome to Calculus I! This is the place to check for in class problems, review sheets for exams, and Mathematica demonstrations.

e-Handouts

• Tuesday, August 19: Syllabus
• Tuesday, August 19: Pre-requisite problems
• Monday, August 25: Review of polynomials
• Tuesday, August 26: In class problems
• Wednesday, August 27: Review of exponential and logarithmic functions
• Wednesday, September 17: Derivatives of exponential functions
• Friday, September 19: Review for exam 1
• Monday, October 20: Computational Homework
• Tuesday, October 21: Iteration Lab
• Tuesday, October 21: Review for exam 2

Demos

Here's a few computer generated demonstrations to illustrate the ideas from class. The demos labeled "Notebook" are Mathematica Player documents. You can view and interact with them using either Mathematica or the free Mathematica Player. The demos labeled "HTML" are webpages exported from Mathematica. When possible, I'll replace the interactive portion with a Java applet generated by GeoGebra.

• Tuesday, August 19: Planetary speed - [ Notebook | HTML]
• Friday, August 22: Parabolic slope - [ Notebook | HTML]
• Friday, August 29: Exponential slope - [ Notebook | HTML]
• Friday, August 29: The basic trig functions
• Friday, August 29: The addition formula for the sine function
  Straight from the Wolfram Demonstrations site
• Wednesday, October 8: Plotting with Mathematica and Calculus - [ Notebook | HTML]
• Friday, October 10: Some graphs to analyze - [ Notebook | HTML]
• Wednesday, October 15: Iteration and Newton's method - [ Notebook | HTML]
• Wednesday, November 19: Differentiation vs Integration - [ Notebook | HTML]

Assignments

The textbook assignments are all taken from Calculus by Gilbert Strang, which is freely available online through MIT's open courseware project: http://ocw.mit.edu/ans7870/resources/Strang/strangtext.htm.

• Tuesday, August 19: The pre-req handout
• Wednesday, August 20: Section 1.1 - 1, 2, 7, 9, 13, 14, 19, 23, 25
• Friday, August 22: Section 1.3 - 1, 4, 6, 7
• Monday, August 25: All problems from the polynomial handout
• Wednesday, August 27: All problems from the exponential/logarithmic handout
• Wednesday, September 3: Section 2.1 - 3, 4, 6, 9, 10, 11, 12, 31
• Friday, September 5: Section 2.2 - 2-11, 14, 15, 21, 22, 27, 49
• Monday, September 15: Section 2.6 - 7, 8, 13, 14, 17-20, 25 (first two), 30-32
• Wednesday, September 17:
  • Section 2.6 - 1-6, 14, 23, 31, 32
    Note: Replace any sin(x) with e^x.
  • All problems from the exponential derivatives handout.
• Friday, September 26:
  • Section 1.5: 12, 14, 21-25, 33-35
  • Section 2.4: 2, 3
  • Section 2.5: 7-13
• Friday, October 3: Section 3.2 - 1-4, 6, 7, 17, 18, 19, 38, 41-44
• Monday, October 6:
  • Section 3.1: 2, 3, 5, 10, 12, 23, 25
  • Section 3.3: 11, 13, 15, 23, 27
• Friday, October 10: Section 3.4 - 3-17 (odd), 37
  Feel free to draw with a calculator or computer, but use the tools developed in class to generate more precise information.
• Wednesday, October 15: You'll need some type of computational tool for these problems. The October 15 demo above illustrates some Mathematica code to do these types of problems.
  • Section 3.6: 2, 3, 5, 21, 27
  • Section 3.7: 9, 13, 14
• Friday, October 20
  • Section 4.1: 1-25 (odd)
  • Section 3.8: 16, 17, 18, 21
  • For collection: The computational homework
• Friday, October 31: Section 4.2 - 1-10, 21-24
• Wednesday, November 5: Section 4.4 - 15-24 all
• Monday, November 10: Riemann Sum Handout
• Monday, November 17: Section 5.2 - 1-8, 25 all
• Wednesday, November 19: Section 5.4 - 1-15

The groovy class randomizer

• This is the coolest!