Calulus 2
Welcome to the course page for Math 199, i.e. merit discussion section AD1 as part of Math 231 (Calculus II), Spring 2022.
My name is Yigal Kamel, and I am the TA for this section. Make sure to read through the syllabus for details about the course and grading.

Meeting Information: Wednesday and Friday, 9am-10:50am, Room 159 in Altgeld.

Office Hours:
Monday, 10-11am, Room 173 Altgeld.
Tuesday, 5-6pm, Zoom: link

Email: ykamel2@illinois.edu

This page is where I plan to make all of the course materials for the Math 199 component of our section available.
This includes the worksheets/activities that we'll be working on in class, as well as the preparation assignments that you will work on at home.

In-Class Participation Assignments:
1/19/22: Introductions, syllabus, getting to know each other, recalling some topics from Calculus I.
1/26/22: Participation assignment 1 - Setting up definite integrals   (inspired by Prof. Robert Smyth's Calculus II class at Cooper Union, Spring 2017)
2/2/22: Participation assignment 2 - Adapting trigonometric substitution
2/4/22: Participation assignment 3 - Practicing integrals
2/9/22: Participation assignment 4 - Partial fractions
2/11/22: Mock Exam 1 - Integration
2/16/22: Participation assignment 5 - Improper integrals
2/23/22: Participation assignment 6 - Applications of integrals: (curved) length and area
3/2/22: Participation assignment 7 - Applications of integrals: computing physical quantities   -   edit explaining the physics error (in red)
3/4/22: Mock Exam 2 - to be uploaded soon
3/9/22: Participation assignment 8 - to be uploaded soon
3/23/22: Participation assignment 9 - Absolute and conditional convergence
3/30/22: Participation assignment 10 - Series of functions
4/6/22: Participation assignment 11 - "Hands-on" with Taylor series
4/8/22: Mock Exam 3 - Sequences and series
4/13/22: Participation assignment 12 - Taylor's theorem
4/20/22: Participation assignment 13 - Parametric curves and calculus

At-Home Preparation Assignments:
1/21/22: Preparation assignment 1 - Understanding integrals
1/28/22: Preparation assignment 2 - Trigonometric substitution
2/4/22: Preparation assignment 3 - Integration techniques
2/11/22: Preparation assignment 4 - Areas of infinite regions
2/18/22: Preparation assignment 5 - Approximating integrals
2/25/22: Preparation assignment 6 - Applications of integrals: the mass of the sun
3/4/22: Preparation assignment 7 - Sequences and series
3/11/22: Preparation assignment 8 - Alternating series (and conditional convergence)
3/25/22: Preparation assignment 9 - The ratio and root tests
4/1/22: Preparation assignment 10 - Towards Taylor series
4/8/22: Preparation assignment 11 - Stepping back: series
4/15/22: Preparation assignment 12 - Parametric equations
4/22/22: Preparation assignment 13 - Polar coordinates
4/29/22: Preparation assignment 14 - Back to everything

Miscellaneous notes/summaries:
2/2/22: Outline for using triangles to determine a good trigonometric substitution
2/18/22: A perspective on what the fundamental theorem of calculus says about integrals
2/23/22: Overview of arclength (take 1)
3/2/22: Center of mass (in one dimension)
4/13/22: What are parametric equations?

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