CalculusBC: Tentative Schedule Fall 2005

CalculusBC Syllabus - Fall 2005 

The primary materials for this course will be a set of notes that will be both distributed in class and available on this webpage. In addition, you may like to purchase a textbook and keep it at home for a reference, but this is not required. We will have daily homework, computer classwork for interactive visualization and problem solving, and quizzes every other week on Wednesday. Dates for the quizzes are posted below and on the Upper School Test Calendar.

 
Review Material you might enjoy browsing: 

• Michael Kelley's Into. to Limits: Tutorial 1
• Michael Kelley's Into. to Limits: Tutorial 2
• Calculus Exploration 1 (Java Applet) Visual Limits & Continuity
• Calculus Exploration 1 (pdf file) Examples & Exercises
• Michael Kelley's Into. to Limits: Tutorial 3
• Michael Kelley's Into. to Limits: Tutorial 4
• Calculus Exploration 2 (Maplet - mws file) Algebraic Limit Rules
• Calculus Exploration 2 (pdf file) Examples & Exercises
• Michael Kelley's Into. to Limits: Tutorial 5
• Calculus Exploration 3 (mws file) Tangents as Limits of Secant Lines
• Calculus Exploration 3 (pdf file) Examples & Exercises
• Michael Kelley's Into. to Derivatives: Tutorial 1
  This is useful, but some things aren't quite correct. What are they?
• Review Assignment (pdf file) Selected Homework 0 (SHW 0)
• SHW 0 (Plus 6-10) Answers

Assignment 1.  

• Volumes of Solids of Revolution: The Disk Method
• Volumes of Solids of Revolution: The Shell Method
• Volumes of Solids of Revolution: The Washer Method
• Calculus Exploration 10 (mws file) Disk & Shell Methods
• Calculus Exploration 10B (mws file) Disk & Shell Methods Rotating about a Line
• Calculus Exploration 10 Exercises (pdf file) SHW 1
• Quiz 1 is Wednesday, September 14, 2005.

Assignment 2.

• Approximating Arc Length 1 (Jim Carlson - U. of Utah)
• Approximating Arc Length 2 (D. Kreider, D. Lahr, and S. Diesel)
• Arc Length - Sketch of Theorem (mecca.org)
• Arc Length - Formulas (Larry Husch - UTK)
• Calculus Exploration 11 (mws file) Arc Length
• Calculus Exploration 11 Exercises (pdf file) SHW 2
• Calculus Exploration 11 More Exercises (pdf file) SHW 3
• Calculus Exploration 12 (mws file) Parametric Curve Length
• Calculus Exploration 8 (mws file) Indefinite & Definite Integrals Solver
• SHW3 Student Solutions (pdf file)
• Quiz 2 Cheat Sheet (pdf file)
• Quiz 2 is Wednesday, September 28, 2005.
• Quiz 2 Student Solutions (pdf file)

• Indefinite Integrals: Trig Substitution Exercises (pdf file) SHW 4
• Arc Length & Surface Area Exercises (pdf file) SHW 5
• Calculus Exploration 8 (mws file) Indefinite & Definite Integrals Solver
• Calculus Exploration 11 (mws file) Arc Length
• Calculus Exploration 12 (mws file) Parametric Curve Length
• Calculus Exploration 13 (mws file) Area of Surface of Revolution
• SHW4 Student Solutions (pdf file)
• Pop Quiz 1 - Team 1 (pdf file)
• Pop Quiz 1 - Team 2 (pdf file)
• Quiz 3 is Wednesday, October 12, 2005.
• SHW5 Student Solutions - Work in Progress (pdf file)
• Quiz 4 is Wednesday, October 26, 2005.

• Calculus Exploration 12A (mws file) Visualizing Motion on a Parametric Curve SHW 6
  The instructions for SHW 6 are contained in the Maple file. In addition to publishing
  the solutions using the smartboard, we will also post the student created parametric
  curves here on the website.
• Calculus Exploration 12 (mws file) Parametric Curve Tangent & Normal Lines
  
  

Assignment 5.

• Calculus Exploration 12B (mws file) 3D Vector Algebra and Geometry
• Cross Product (applet)
• 3D Vector Analysis: Notes and Exercises (pdf file) SHW 7 & 8

Assignment 6.

• SHW 9 Limits and l'Hospital's Rule
• SHW 10 Improper Integrals