MATH231 Spring 2022: Calculus II

Course Information

Instructor: Xinran Yu

Office: Altgeld Hall 108

Email: xinran4@illinois.edu (Please include "MATH231" in your email subject line.)

Course Webpage: https://xinrany.github.io/home/teaching/math231-spring2025.html

Campuswire: This course utilizes Campuswire for posting and answering questions. I will monitor the page during my office hours.

Textbook: James Stewart, Calculus: Early Transcendentals, 8th edition

Syllabus: Access the syllabus. The course will cover Chapters 7, 8, 10, and 11. You can also refer to the department syllabus.

Class & Office Hours

Class Schedule: MWF 10:00 - 10:50 AM, 9 FAR

Office Hours: Thursdays 3:00 - 4:00 PM, 108 Altgeld Hall (floor plan)

Key Dates

• Spring Break: March 12–20 (No classes)
• Reading Day: May 4

Homework & Extra Practice

Homework

Homework assignments

Extra Practice

If additional practice is needed, you can refer to the following online resources:

• Paul's Online Notes
• Calculus Problems with Step-by-Step Solutions (Prof. Kouba)
  Includes practice from the "Beginning Integral Calculus" section.
• Prof. Frinkle's Math Page

Lecture Notes

Lecture Notes (Current Version: Mar 12, updates ongoing throughout the semester)

Spring 2022 Notes (Covers nearly the same material)

• Calculus I Review
• Chapter 7
• Chapter 8
• Chapter 10
• Chapter 11

Supplementary Resources

Optional resources for additional insights, proofs, and strategies (not required for exams or homework):

• Simpson's (1/3) Rule:
  • Proof of Simpson's Rule
  • Proof of the Error Bound
• Proofs of Limit Laws (using the definition of a limit of a sequence)
• Ratio and Root Tests:
  • Proof of Ratio Test and Intuition
  • Proof of Root Test and Intuition
• Flowchart for Testing Series Convergence
• Arc Length and Surface Area Summary (in rectangular, parametric, and polar coordinates)

Exam Information

No calculators are allowed for midterms or the final exam.

Midterms

Midterms will be held during our usual class time. Each midterm will be timed for 45 minutes and will consist of 6 questions.

• Midterm 1 will be held during the 5th week on Friday. It will cover Ch7.
• Midterm 2 will be held during the 8th week on Friday. It will cover Ch8-Ch11.4.
• Midterm 3 will be held during the 12th week on Friday. It will cover Ch11.4-11.9.

Final Exam

Final exam will be held on May 9th, 1:30pm - 4:30pm at 9 FAR.
Past Exams

Materials to Memorize

• Chapter 7: Substitution Rule, Integration by Parts, Trigonometric Identities, Improper Integrals
• Chapter 8: Arc Length and Surfaces of Revolution
• Chapter 10: Parametrization, Arc Length, Surfaces of Revolution
• Chapter 11:
  • Geometric Series, Harmonic Series
  • Comparison Tests for Series (Divergence Test, Integral Test, etc.)
  • Absolute and Conditional Convergence

Grading

Grades will be posted via Moodle. Moodle will automatically calculate your raw score once all grading is complete. Homework and exams will not be curved individually, but final grades will be adjusted based on the overall distribution.

Homework (30%)

• I'll assign handwritten homework rather than online homework to help you become familiar with the format of paper-based exams.
• There will be eight handwritten homework assignments, all due by the end of class on Friday.
• Missed homework will generally be addressed by dropping the lowest two scores.
• Late homework will be worth 50% of the grade earned.

Midterms (40%)

• There will be three midterms.
• Midterms will be held during regular class time.
• No conflict exams or make-up exams will be given.
• The lowest midterm score will be dropped.

Final Exam (30%)

Extra Credit (up to 3 points)

• Extra credit is offered to encourage participation in class.
• You can earn a maximum of 3 points toward your final grade.
• Earn extra credit by solving problems (e.g., homework problems or exercises from lectures) on the board.
• Each solved problem is worth 1 point.

Grading Scale