- Instructor: Libao Jin
- Email: ljin1@uwyo.edu
- Office: Ross Hall 205
- Class: M-F 10:35 AM - 12:35 PM, Engineering Building, Room 2102
- Office Hour: M-F 02:00 PM - 03:00 PM
- Syllabus
- Discord Calculus Study Group

## Announcements

- 07/07:
- Final Exam Grade is available on both WyoCourses and MyLab Math.
- Solution to Final Exam is available.

- 07/02: Sample for Midterm Exam 3 and the corresponding Solution are available.
- 07/01:
- Homework 13 is now available and is due on Thursday, July 04, 11:59 PM.
- Final Exam will be held in Business Building (BU 121) during 10:00 AM - 12:00 PM, Friday, July 05th, 2019.

- 06/27: Homework 12 is now available and is due on Monday, July 01, 11:59 PM.
- 06/26: Homework 11 is now available and is due on Friday, June 28, 11:59 PM.
- 06/25: Homework 10 is now available and is due on Thursday, June 27, 11:59 PM.
- 06/22:
- Solution to Midterm Exam 2 is available.
- Midterm Exam 2 Grade is available on both WyoCourses and MyLab Math.

- 06/19:
- Solution to Midterm Sample Exam 2 is available.
- Midterm Exam 2 will be held in Business Building (BU 121) during 10:00 AM - 12:00 PM, Friday, June 21st, 2019.

- 06/18:
- Sample for Midterm Exam 2 is available.
- Homework 9 is now available and is due on Thursday, June 20, 11:59 PM.

- 06/17: Homework 8 is now available and is due on Thursday, June 20, 11:59 PM.
- 06/14: Homework 7 is now available and is due on Monday, June 17, 11:59 PM.
- 06/12: Homework 6 is now available and is due on Sunday, June 17, 11:59 PM.
- 06/11:
- Homework 5 is now available.
- Homework 4 and Homework 5 are both due on Sunday, June 17, 11:59 PM.

- 06/10:
- Homework 4 is now available and is due on Wednesday, June 12, 11:59 PM.
- Midterm Exam 1 Grade is available on both WyoCourses and MyLab Math.
- Solution to Midterm Exam 1 is available.
- Regular office hours resume: 02:00 PM - 03:00 PM (M - F).

- 06/06:
- Solution to Midterm Sample Exam 1 is available.
- Midterm Exam 1 will be held in Business Building (BU 121) during 10:00 AM - 12:00 PM, Friday, June 7th, 2019.
- The syllabus is updated.

- 06/05: Homework 2 grade has been synchronized to WyoCourses from MyLab Math.
- 06/03:
- Midterm Sample Exam 1 is available.
- Homework 1 grade has been synchronized to WyoCourses from MyLab Math.
- Homework 2 is now due on Tuesday, June 04, 11:59 PM.
- Homework 3 is now available on MyLab Math and is due on Thursday, June 06, 11:59 PM.
- Office hour (June 03 - June 07) has been moved to 04:30 PM - 05:30 PM (M - F).

- 05/30: Homework 2 is due on Monday, June 03, 11:59 PM.
- 05/28: Homework 1 is due on Friday, May 31, 11:59 PM.
- 05/28: Class begins on 05/28.

## Lecture Notes

- Sigma Notation, Riemman Sum, and Definite Integral (Ch 5.1 & 5.2)
- Fundamental Theorem of Calculus, Integrals of Even and Odd Functions (Ch 5.3 & 5.4)
- Mean Value Theorem for Integrals, Substitution Rule for Integrals (Ch 5.4 & 5.5)
- Substitution Rule using Properties of Trig Functions, Area between Two Curves (Ch 5.5 & 6.2)
- Area of the Region between Two Curves, Volume of Solid by Slicing (Ch 6.2 & 6.3)
- Volume by Shell Method, Arc Length of Curves, Area of Surface of Revolution (Ch 6.4, 6.5, 6.6)
- Area of Surface of Revolution, Physical Applications (Ch 6.6 & 6.7)
- Review for Midterm Exam 1: Integration and Its Applications (Ch 5.1 - 5.5, Ch 6.2 - 6.7). Review Slides
- Integration Techniques: Integration by Parts (Ch 7.1 & 7.2).
- Integration Techniques: Trigonometric Integrals and Substitution (Ch 7.3 & 7.4).
- Integration Techniques: Partial Fractions (Ch 7.5).
- Integration Techniques: Numerical Integration (Ch 7.7). Computer Algebra Demo.
- Integration Techniques: Improper Integrals (Ch 7.8).
- Introduction to Differential Equations (Ch 7.9).
- Recurrence Relation, Explicit Formula, Limit of a Sequence (Ch 8.1).
- Limit Laws for Sequences, Infinite Series, Geometric Series (Ch 8.2 - 8.3).
- Review for Midterm Exam 2: Integration Technique, Sequences and Series (Ch 7.1 - 8.3). Review Slides
- Telescoping Series, Divergence Test, and Integral Test (Ch 8.3 - 8.4).
- $p$-Series, Ratio Test, and Root Test (Ch 8.4 - 8.5).
- Comparison Test, Limit Comparison Test, and Alternating Test (Ch 8.5 - 8.6).
- Convergent Series, Power Series, Interval/Radius of Convergence (Ch 8.6 & 9.2).
- Convergence of Power Series, Combining/Differentiating/Integrating Power Series (Ch 9.2).
- Taylor Polynomial, Taylor Series, and MacLaurin Series (Ch 9.3).
- MacLaurin Series, and Remainder of Series/Alternating Series (Ch 8.6 & 9.3).
- Review for Final Exam: Sequences, Infinite Series, and Power Series (Ch 8 & 9). Review Slides