calculus ii

Schedule for Help Sessions

week 01

Class 01 (January 9, 2023): Logistics, Introductions, Change, Change Accumulation

In-class content

• Topics: Introductions, Course Overview, Change and Change Accumulation
• Unicorns and Soy Milk

Mini-Lab (January 9, 2023): Getting Set up with google colab and WeBWorK

In-class content

• Introduction to WeBWorK
• Introduction to Google colab
• Handout

Class 02 (January 12, 2023): More Change Accumulation: Numbers and Graphs

In-class content

• Topics: Introductions, Course Overview, Change and Change Accumulation
• Unicorns and Soy Milk, continued

Class 03 (January 12, 2023): Introduction to Lists, Functions, and Plotting in Python

In-class content

• Google colab notebooks shared via google classroom. Also available here
• Notebook 02: Plotting Part 0
• Notebook 03: Plotting Part I

Homework 01 (due January 13, 2023)

• Homework 01, due Friday, January 13

Week 02

Class 04 (January 16, 2023): Snow day!

• Actually, it was more of an ice and sleet day than a snow day.

https://colab.research.google.com/drive/1CAZ2X5Un3JCo8AXmJGOLlEot2zNLATNK?usp=sharing

Class 05 (January 19, 2023): More accumulating changes

• Handout: Accumulation changes via a function
• Google colab notebook available on google classrom and here: Calc II Notebook 03 Loops

Class 06 (January 19, 2023): More accumulating changes and python TBA

• Coming soon

Homework 02 (due January 20, 2023)

• Homework 02, due Friday, January 20

Week 03

Class 07 (January 23, 2023): Definite integrals

• Summary of Previous Class
• Change accumultation with graphs and functions and apple pie

Class 08 (January 26, 2023): Definite integrals as areas and averages

• Areas and averages and such

Class 09 (January 26, 2023): The Fundamental Theorem of Calculus

• The fundamental theorem of calculus. Amounts and rates.

Homework 03 (due January 27, 2023)

• Homework 03, due Friday, January 27

Week 04

Class 10 (January 30, 2023): Using the Fundamental Theorem of Calculus, Anti-derivatives, etc.

• Anti-derivatives: graphically and analytically.

Class 11 (February 2, 2023): Using the Fundamental Theorem of Calculus, Second Fundamental Theorem, etc.

• Using the fundamental theorem to evaluate definite integrals
• Deep exploration of a particular definite integral

Class 12 (February 2, 2023): Canceled due to Writing Candidate Presentation

• nothing

Homework 04 (due February 3, 2023)

• Homework 04, due Friday, February 3

week 05

Class 13 (February 6, 2023): Second Fundamental Theorem, Arc Length

• Second Fundamental Theorem Practice
• Arc Length

Class 14 (February 9, 2023): Areas and Volumes!

• Areas and Volumes

Class 15 (February 9, 2023): Canceled due to Writing Candidate Presentation

• nothing

Homework 05 (due February 10, 2023)

• Homework 05, due Friday, February 10

week 06

Class 16 (February 13, 2023): Volumes of Revolution

• Volumes of Revolution

Class 17 (February 16, 2023): Density

• Density

Class 18 (February 16, 2023): Probability Density

• Probability Density

Homework 06 (due February 17, 2023)

• Homework 06, due Friday, February 17

week 07

Class 19 (February 20 2023): More Probability Density: Means and the Normal Distribution. Also Improper Integrals

• Calculuating Means
• Improper Integrals

Class 20 (February 23 2023): Probability Density: Cumulative Distributions

• The Cumulative Distribution
• The Chain Rule Returns

Class 21 (February 23, 2023): The Central Limit Theorem! Also u substitutions.

• Intro to Substitutions
• Central Limit Theorem Exploration
• Colab Notebook Illustrating the Central Limit Theorem

Homework 07 (due February 24, 2023)

• Homework 07, due Friday, February 24

week 08

Class 22 (February 27, 2023): More Central Limit Theorem. More u substitutions. z scores and statistics.

• Table of Z scores
• Some Notes on the Central Limit Theorem and its use in Statistics
• More Substitutions
• Using the Central Limit Theorem

Class 23 (March 2, 2023): Sequences and Introduction to Geometric Series.

• On-Line Encyclopedia of Integer Sequences (OEIS)
• Sequences
• Introduction to Geometric Series

Class 24 (March 2, 2023): Sigma Notation and Series Explorations.

• Sigma Notation and Series Explorations

Homework 08 (due March 3, 2023)

• Homework 08, due Friday, March 3

week 09

Class 25 (March 6, 2023): Convergence of Series

• Pondering Convergence

Class 26 (March 9, 2023): Power Series

• Two Power Series to Explore

Class 27 (March 9, 2023): Taylor Series

• Some Taylor Series

Homework 09 (due March 10, 2023)

• Homework 09, due Friday, March 10

week 10

Class 28 (March 13, 2023): Using Taylor Series

• Using Taylor Series

Class 29 (March 16, 2023): Summary and Conclusion

• Course Summary

Class 30 (March 16, 2023): No class: Help Session

Final Assignment (due March 17, 2023)

• Final Assignment, due Friday, March 17

Some Useful Links

• Matplotlib Tutorial from W3Schools.com.
• Introduction to Matplotlib, a super helpful colab notebook with many examples. Developed by NASA.