Math UN1102: Calculus II (Spring 2018, Section 5)

Logistics

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.


Grading

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.


Resources

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.


Syllabus and Schedule

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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