Math S1102 Calculus II
Summer 2017

Instructor: C.-M. Michael Wong
Last updated: Jul 19, 2017

Time MTWTh 1:00–2:35 pm

Location 520 Mathematics Building

Office hours MW 2:45– 3:45 pm in 408 Math, or by appointment

E-mail cmmwong [at] math [dot] university-name [dot] edu

Teaching Assistant Xuan Wu. Help Room hours: W 5:00–8:00 pm, Th 9:30 am–12:30 pm

Textbook Calculus: Early Transcendentals, 8th edition by James Stewart, with WebAssign. The cheapest option to purchase the text is from the publisher's website here. For more information, click here.

Prerequisites Calculus I.

Main topics covered Advanced integration techniques, such as integration by parts, trigonometric substitution and partial fractions. Computation of arc lengths and areas of surfaces of revolution. Introduction to differential equations. Parametric equations and polar coordinates. Series and tests for convergence. Taylor series.

Grading The final grade will be computed from the following components:
Homework This section requires students to use WebAssign, an on-line system integrated with the course textbook. You must purchase the access to the WebAssign system. See "textbook" above. (Some other sections do not require the use of WebAssign.) Late homework will not be accepted, but the two lowest scores will be dropped.

Students with disabilities 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 at www.health.columbia.edu/ods. 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.

Missed exams If you have a conflict with any of the exam dates, you must contact me ahead of time so we can make arrangements. (At least a week ahead is preferable.) If you are unable to take the exam because of a medical problem, you must go to the health center and get a note from them – and contact me as soon as you can.

Getting help Here are some places where you can get help.
Other advice You should
Schedule The following schedule is tentative and may be modified as the course progresses. Please read the relevant textbook sections before the lecture.
Date Material Textbook Announcements
05/22 Introduction. Review of integrals. Fundamental Theorem of Calculus. §5.1–5.4
05/23 Substitution. §5.5
05/24 Integration by parts. §7.1
05/25 Trigonometric integrals. §7.2
05/29
Memorial Day - University Holiday
05/30 Trigonometric substitution. §7.3
05/31 Partial fractions I. §7.4
06/01 Partial fractions II. §7.4, 7.5 Mid-Term Exam 1 will cover §5.5, 7.1–7.5.
06/02
Mid-Term Exam 1 (Makeup Date for Memorial Day)
06/05 Volumes. §6.2, 6.3
06/06 Arc length. Area of a surface of revolution. §8.1, 8.2
06/07 Introduction to differential equations. §9.1
06/08 Separable equations. §9.3
06/12 Exponential and logistic growth. §9.4 Read §9.6 also.
06/13 Linear equations. §9.5 Mid-Term Exam 2 will cover §6.2–6.3, 8.1–8.2, 9.1, 9.3–9.5.
06/14
Mid-Term Exam 2
06/15 Sequences. Series. §11.1, 11.2
06/19 Integral test. Comparison test. §11.3, 11.4 Last day to drop class or pass/fail.
06/20 Alternating series. Absolute convergence. §11.5, 11.6
06/21 Ratio test. Root test. §11.6, 11.7
06/22 Power series. §11.8
06/26 Functions as series. §11.9
06/27 Taylor series I. §11.10
06/28 Taylor series II. §11.10 Read §11.11 also.
06/29
Final Exam