Day and Time: TR 11:40 am - 12:55 pm
Location: 407 Mathematics
Instructor: Pak-Hin Lee
Email: phlee "at" math.columbia.edu
Office: 408 Mathematics
Office Hours: Tuesdays 3 pm - 4 pm
Teaching Assistant: None
Help Room: 333 Milbank
(For more information about the Help Room, see below.)
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 9172 7396.
(More information about WebAssign is available here.)
Course Description: Techniques and applications of integration. Differential equations. Parametric equations and polar coordinates. Infinite sequences and series. Taylor's theorem. (Chapters 6 to 11 of Stewart.)
Prerequisites: Calculus I. (Chapters 1 to 5 of Stewart.)
Important Dates: For more details, please refer to the academic calendar.
Homework: There will be weekly homework consisting of a WebAssign component and a written problem set (15% each), due generally every Thursday at 1 pm.
Examinations: There will be two midterms (20% each) and one final (30%) held in class. 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, with links on this webpage. 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. 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.
The following is subject to change as the course moves along.
Date | Topics | Reading | Homework | |
Jan 16 (Tue) | Canceled due to illness (make-up on Jan 19) | |||
Lecture 1 | Jan 18 (Thu) | Introduction; Review of integration and the Fundamental Theorem of Calculus | §5.1 - 5.4 | Homework 1 due on Jan 25 (Thu): WebAssign; §5.3: 61, 78; §5.5: 92, 93 (Solutions) |
Lecture 2 | Jan 19 (Fri) | The substitution rule | §5.5 | |
Lecture 3 | Jan 23 (Tue) | Integration by parts | §7.1 | Homework 2 due on Feb 1 (Thu): WebAssign; §7.1: 48; §7.2: 20, 31, 50 (Solutions) |
Lecture 4 | Jan 25 (Thu) | Trigonometric integrals | §7.2, App. D | |
Lecture 5 | Jan 30 (Tue) | Trigonometric substitution | §7.3 | Homework 3 due on Feb 8 (Thu): WebAssign; §7.3: 18, 36 (no need to graph); §7.4: 21, 74 (Solutions) |
Lecture 6 | Feb 1 (Thu) | Integration of rational functions by partial fractions | §7.4 | |
Lecture 7 | Feb 6 (Tue) | Integration of rational functions by partial fractions | §7.4 | Homework 4 due on Feb 15 (Thu) (turn in by Feb 13 (Tue) to view solutions): WebAssign; §7.4: 35; §7.8: 52, 56, 57, 61 (Solutions) |
Lecture 8 | Feb 8 (Thu) | Improper integrals | §7.8 | |
Lecture 9 | Feb 13 (Tue) | Review | §7.5 | |
Lecture 10 | Feb 15 (Thu) | Midterm Exam 1 (Solutions) | Announcement; Practice Exam and Solutions | |
Lecture 11 | Feb 20 (Tue) | Sequences | §11.1 | Homework 5 (with hint) due on Mar 1 (Thu): WebAssign; §11.1: 52, 69, 79, 80 (Solutions) |
Lecture 12 | Feb 22 (Thu) | Sequences | §11.1 | |
Lecture 13 | Feb 27 (Tue) | Series | §11.2 | Homework 6 (with hint) due on Mar 9 (Fri): WebAssign; §11.2: 48, 75; §11.3: 32, 40 (Solutions) |
Lecture 14 | Mar 1 (Thu) | Integral test; Statement of comparison test | §11.3, 11.4 | |
Lecture 15 | Mar 6 (Tue) | Comparison tests; Alternating series (covered by Ivan Danilenko) | §11.4, 11.5 | Homework 7 (with hint) due on Mar 22 (Thu): WebAssign; §11.4: 44; §11.5: 32; §11.6: 38, 40 (Solutions) |
Lecture 16 | Mar 8 (Thu) | Absolute convergence; Ratio and root tests (covered by Ivan Danilenko) | §11.6 | |
No class | Mar 13 (Tue) | Spring Recess | ||
Mar 15 (Thu) | ||||
Lecture 17 | Mar 20 (Tue) | Power series; Functions as power series | §11.8, 11.9 | Homework 8 (with hint) due on Mar 29 (Thu): WebAssign; §11.8: 22, 31, 37; §11.9: 42(b) (Solutions) |
Lecture 18 | Mar 22 (Thu) | Functions as power series; Introduction to Taylor series | §11.9, 11.10 | |
Lecture 19 | Mar 27 (Tue) | Taylor and Maclaurin series | §11.10 | Homework 9 due on Apr 10 (Tue): WebAssign; §11.10: 80, 82; Review (P.785): 38, 39 (Solutions) |
Lecture 20 | Mar 29 (Thu) | Review; Strategy for testing series | §11.7 | |
Lecture 21 | Apr 3 (Tue) | Midterm Exam 2 (Solutions) | Announcement; Practice Exam and Solutions | |
Lecture 22 | Apr 5 (Thu) | Areas between curves; Volumes | §6.1, 6.2 | Homework 10 (with hint) due on Apr 19 (Thu): WebAssign; §6.2: 63, 72; §6.3: 48(b) (Solutions) |
Lecture 23 | Apr 10 (Tue) | Volumes by disks and washers; Volumes by cylindrical shells (formula) | §6.2, 6.3 | |
Lecture 24 | Apr 12 (Thu) | Volumes by cylindrical shells (examples); Arc lengths; Areas of surfaces of revolution | §6.3, 8.1, 8.2 | Homework 11 (with instructions and hint) due on Apr 26 (Thu): WebAssign; §8.1: 39; §8.2: 32; §10.2: 64 (Solutions) |
Lecture 25 | Apr 17 (Tue) | Parametric curves; Tangents of parametric curves | §10.1, 10.2 | |
Lecture 26 | Apr 19 (Thu) | Calculus with parametric curves; Introduction to differential equations | §10.2, 9.1 | |
Lecture 27 | Apr 24 (Tue) | Separable equations; Orthogonal trajectories | §9.3 | Homework 12 (with hint) due on May 4 (Fri): WebAssign; §9.4: 22 (except part (c)); §9.5: 26 (Solutions) |
Lecture 28 | Apr 26 (Thu) | Linear equations; Models for population growth | §9.5, 9.4 | |
May 3 (Thu) | Review | |||
May 10 (Thu) | Final Exam (4:10 pm - 7:00 pm) | Announcement; Practice Exam and Solutions |
Last updated: May 15, 2018.
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