Reading:

• Hughes-Halett 5.1, 5.2, 5.3, 5.4, 5.5, 6.2, 6.3 (through p. 303)
• Multivariable integration excerpt (Hughes-Halett 16.1 from another book)
• It Slices, It Dices by Steven Strogatz (New York Times) (footnote 11 is especially important)
• StartR 6

Lessons (Asterisk indicates there is a checkpoint quiz in Moodle):

• Introduction to Accumulated Change*: Screencast – Slides
• Introduction to the Definite Integral*: Screencast – Slides
• Applications of Definite Integrals*: Screencast – Slides
• Fundamental Theorem of Calculus*: Screencast – Slides
• Evaluating Definite and Indefinite Integrals Algebraically*: Screencast – Slides
• Cumulation of Mutivariable Functions*: Screencast – Slides
• Definite Integrals in R: Screencast

Practice problems:

• 5.1.4, 7, 9, 12, 19
• 5.2.3, 6, 11, 26, 28
• 5.3.2, 9, 13
• 5.4.1, 4, 8, 10, 21, 28, 29
• 5.5.2, 7, 12
• 7.1.16, 17, 22, 36, 37, 65 (note, these are numbers from old edition)
• 16.1.2, 3, 6, 7, 8
• Answer key

 

In-Class Activities:

• R notes
• Definite integral practice problems (key)
• Basic antiderivative rules
• Antidifferentiation practice problems (key)
• Wolfram Alpha and Wolfram Alpha activity