Calculus I (Fall 2020)


Time: MW 4:10pm-5:25pm (New York)
Office Hour: 5:30pm-6:30 pm (New York)
Location: Zoom
Instructor: Chung-Hang (Kevin) Kwan
Email: ck2854 "at" columbia "dot" edu

Teaching Assistant: NIL
Email: NIL
Help Room: Zoom
(For more information about the Help Room, see here .)

Textbook: James Stewart, Calculus: Early Transcendentals, 8th Edition
(More information about the textbook is available here. Please make sure you have access to the corrrect edition when working on the homework problems.)

WebAssign: The class key for this section is columbia 3547 6521 .
(More information about WebAssign is available here.)

Course Description: Limit, Differentiation, Integration, and their Applications (Chapters 1 to 6 of Stewart.)
Prerequisites: Precalculus. (See here) Moreover, you have to be good at algebraic manipulations. For review of pre-calculus, see Paul's Online Notes

Important Dates: For more details, please refer to the academic calendar.

Final Announcement

Midterm II Announcement

Midterm I Announcement


Homework: There will be weekly homework consisting of a WebAssign component and a written problem set. Generally, it is posted every Wednesday and due the next Wednesday before the class (i.e., Wed 4: 10 pm, New York Time).

Examinations: There will be two midterms (20% each) and one final (30%). The topics to be covered in each exam will be announced later. The use of books, notes, cell phones, calculators, or other electronic devices is not permitted in any of the exams. If you have a conflict with any of the exam dates, you must contact me at least one week in advance for alternative arrangements. In case of medical or family emergency, you must contact me as soon as possible and provide a note from your doctor or dean.

Plagiarism: Any work plagiarized from outside sources or between classmates will receive no credit and potentially result in disciplinary actions.


Canvas: All course materials (homework, solutions, supplementary notes, etc.) and grades will be posted on Canvas. Important announcements will also be sent out via Canvas.

Help Room: The Help Room is open 10 am to 6 pm Mondays through Thursdays, and 10 am to 4 pm on Fridays (New York Time). The full schedule is available here . Feel free to seek help from any TA's who are on duty.

WebAssign: WebAssign is required in this section. Please refer to the information here. I recommend that you take advantage of the Personal Study Plan for additional practice problems.

Disability Services: In order to receive disability-related academic accommodations, students must first be registered with the Disability Services (DS). More information on the DS registration process is available online here. Registered students must present an accommodation letter to the instructor before exam or other accommodations can be provided. Students who have, or think they may have, a disability are invited to contact DS for a confidential discussion.

Tutoring Services: Information is available here.


Syllabus and Schedule

The following is subject to change as the course moves along.

  Date  Topics  Reading  Homework 
Lecture 1  Sep 9(Wed)  Course Logistics & Motivating Questions in Calculus   § 1.1   Homework 1 due on Sep 23 (Wed): WebAssign
Lecture 2  Sep 14 (Mon)  Review of Functions: domain, range, Examples of Elemenary Functions and their Graphs   § 1.1-1.3  
Lecture 3  Sep 16 (Wed)  Constructions, Transformations, Properties & Inverses of functions   § 1.5  
Lecture 4  Sep 21 (Mon)  Limits of Functions, Continuous Functions & Examples, Limits of Indeterminate Forms   § 2.2, 2.3, 2.5  Homework 2 due on Sep 30 (Wed): WebAssign
Lecture 5  Sep 23 (Wed)  More Examples in Computing Limits, Discontinuous functions, One-sided limits   § 2.2, 2.3, 2.5, 2.6  
Lecture 6   Sep 28 (Mon)  Limit Laws, Infinite Limits, (Vertical/Horizontal) Asymptotes   § 2.3, 2.6   Homework 3 due on Oct 14 (Wed): WebAssign
Lecture 7  Sep 30 (Wed)  Asymptotes, Limits at Infinity (Cont'd), Differentiation from the First Principle   § 2.1, 2.6, 2.7  
Lecture 8   Oct 5 (Mon)  Review   §   Practice Midterm 1
Lecture 9   Oct 7 (Wed)  Midterm   §  
Lecture 10   Oct 12 (Mon)  Sum/Difference/Product/Quotient/Power Rules; Differentiation of Rational Functions   § 3.1-3.2  
Lecture 11   Oct 14 (Wed)  Relationships between Continuity and Differentiability; Geometric Meaning of Differentiability; Chain Rule   § 3.4   Homework 4 due on Oct 21 (Wed): WebAssign
Lecture 12   Oct 19 (Mon)  Chain Rule and its Examples   § 3.4  
Lecture 13  Oct 21 (Wed)  Differentiation of Elementary Functions (Exponential, Logarithmic, Trigomometric, Inverse Trigonometric), Inverse Functions, Miscellaneous Examples   § 3.3, 3.5, 3.6  Homework 5 due on Oct 28 (Wed): WebAssign
Lecture 14  Oct 26 (Mon)  Implicit Differentiation & More Examples   § 3.5  
Lecture 15   Oct 28 (Wed)  Logarithmic Differentiation; Preview of Applications of Differentiation; Critical Points, Min/Max   § 3.6, 4.1   Homework 6 due on Nov 4 (Wed): WebAssign
NO CLASS!   Nov 2 (Mon)    §  
Lecture 16   Nov 4 (Wed)  Curve Sketching: First Derivative Test   § 4.1, 4.3, 4.5  
Lecture 17   Nov 9 (Mon)  Curve Sketching (Cont'd): Second Derivative Test, Concavity, Points of Inflection, Slant Asymptotes; Optimization   § 4.1, 4.3, 4.5  Practice Midterm 2
Lecture 18   Nov 11 (Wed)  L' Hopital's Rule  § 4.4  
Lecture 19   Nov 16 (Mon)  Review   §  
Lecture 20   Nov 18 (Wed)  Midterm 2  §  
Lecture 21   Nov 23 (Mon)  L' Hopital's Rule (Cont'd)   § 4.4   Homework 7 (Due Dec 2)
NO CLASS   Nov 25 (Wed)    §  
Lecture 22   Nov 30 (Mon)   Definite Integral: Geometric Interpretation   § 5.1-5.2  
Lecture 23   Dec 2 (Wed)  Fundamental Theorem of Calculus & Antiderivatives   § 4.9, 5.3-5.4   Homework 8 (Due Dec 9)
Lecture 24  Dec 7 (Mon)  Integration by Substitution & Area Between Curves   § 5.5, 6.1 
Lecture 25   Dec 9 (Wed)  Area Between Curves (Cont'd)  § 6.1   Homework 9 (Due Dec 18)
Lecture 26   Dec 14 (Mon)  Final Review   §  
Final Exam   Dec 21 (Mon) 4:10 pm- 6:40 pm   §  

Last updated: December 16, 2020.

Back to my homepage