calculus ii

week 01

Class 01 (March 29, 2021): Logistics, Introductions, Idea of a Function

Pre-class:

• None

In-class content

• Topics: Introductions, Measuring Distance
• Video of Class
• Handout: Measuring Distance

Class 02 (March 31, 2021): More measuring Distance

Pre-class:

• If you haven't already done so, make an account on edfinity.com and sign up for the Calc II class.

In-class content:

• Class: Video of class
• Handout: Distance traveled and accumulated change

Class 03 (April 1, 2021): The Definite Integral

Pre-class:

• none

In-class content

• Recording of Class
• Handout: The Definite Integral

Homework 01 (Due April 2, 2021)

• Homework 01, due Friday, April 2.

Week 02

Class 04 (April 5, 2021): The Fundamental Theorem

Pre-class:

• none

In-class content

• Recording of Class
• Handout: The Fundamental Theorem and Averages

Class 05 (April 7, 2021): More Fundamental Theorem and Interpretation of Integrals

Pre-class:

• none

In-class content

• Recording of Class
• Handout: The Fundamental Theorem, Averages, Interpretations
• Handout: Integral Interpretation Practice

Class 06 (April 8, 2021): Interpretation of Integrals, Constructing Anti-Derivatives

In-class content

• Recording of Class
• Handout: Constructing Anti-Derivatives

Homework 02 (Due April 9, 2021)

• Homework 02, due Friday, April 9. There are no textbook problems this week, but there is an Edfinity assignment.

Week 03

Class 07 (April 12, 2021): Constructing Anti-Derivatives Analytically

In-class content

• Recording of Class
• Handout: Constructing Anti-Derivatives Analytically

Class 08 (April 14, 2021): The Second Fundamental Theorem

In-class content

• Recording of Class
• Handout: The Second Fundamental Theorem

Class 09 (April 15, 2021): Substitutions

In-class content

• Recording of Class
• Handout: Substitutions

Homework 03 (Due April 16, 2021)

• Homework 03, due Friday, April 16.

Week 04

Class 10 (April 19, 2021): More Substitutions

In-class content

• Recording of Class
• Handout: Substitutions

Class 11 (April 21, 2021): Integration by Parts

In-class content

• Recording of Class
• Handout: Integration by Parts

Class 12 (April 22, 2021): Canceled

In-class content

• Recording of Class N/A

Homework 04 (Due April 23, 2021)

• Homework 04, due Friday, April 16. There are no textbook problems this week, only an Edfinity assignment.

Week 05

Class 13 (April 26, 2021): More Integration by Parts

In-class content

• Recording of Class
Handout: Integration by Parts

Class 14 (April 28, 2021): Improper Integrals

In-class content

• Recording of Class
• Handout: Cats Running Forever

Class 15 (April 29, 2021): More Improper Integrals

In-class content

• Recording of Class
• Handout: Cats Running Infinitely Fast

Homework 05 (Due April 30, 2021)

• Homework 05, due Friday, April 30.

Week 06

Class 16 (May 3, 2021): Comparing Integrals

In-class content

• Recording of Class
• Handout: Comparing Integrals

Class 17 (May 5, 2021): Applications of Integrals: Areas and Volumes

In-class content

• Recording of Class
• No handouts today.

Class 18 (May 6, 2021): Volumes of Revolution

In-class content

• Recording of Class
• Handout: Volumes and Such

Homework 06 (Due May 7, 2021)

• Homework 06, due Friday, May 7.

Week 7

Class 19 (May 10, 2021): Arc Length and Density

In-class content

• Recording of Class
• Handout: Arc Length and Density

Class 20 (May 11, 2021): Work

In-class content

• Recording of Class
• Handout: Work

Class 21 (May 13, 2021): Class Canceled: "Snow" day

In-class content: None

Homework 07 (Due May 21-ish, 2021)

• Homework 07, due Friday, May 21-ish.

Week 8

Class 22 (May 17, 2021): Sequences, Introduction to Geometric Series

In-class content

• Recording of Class
• Handout: Sequences

Class 23 (May 19, 2021): Geometric Series, Sigma Notation

In-class content

• Recording of Class
• Handout: Geometric Series
• Handout: Sigma Notation

Class 24 (May 20, 2021): Convergence of Series: p Series, Limit Comparison Test

In-class content

• Recording of Class
• Handout: Does it Converge?

Homework 08 (Due June 4-ish, 2021)

• Homework 08, due Friday, June 4-ish.

Week 9

Class 25 (May 24, 2021): Alternating Series Test, Ratio Test

In-class content

• Recording of Class
• Handout: More Testing for Convergence

Class 26 (May 26, 2021): Power Series

In-class content

• Recording of Class
• Handout: Introduction to Power Series

Class 27 (May 27, 2021): Taylor Polynomials

In-class content

• Recording of Class
• Handout: Taylor Polynomials

Week 10

Class 28 (May 31, 2021): Taylor Series

In-class content

• Recording of Class
• Handout: Taylor Series

Class 29 (June 02, 2021): Cancelled

In-class content

• Recording of Class: None
• Handout: None.

Class 30 (June 03, 2021): Conclusion and a Special Taylor Series

In-class content

• Recording of Class:
• Handout: Course Summary

Homework 09 (Due June 4-ish, 2021)

• Homework 09, due Friday, June 4-ish.