Math V1102 Calculus II
Fall 2014

Time TTh 6:10–7:25 pm

Location 407 Mathematics Building

Office Hours TTh 5:00–6:00 pm, in 528 Math

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

Textbook Calculus: Early Transcendentals, 7th 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 – 30%;
• Mid-term exam 1 – 20%;
• Mid-term exam 2 – 20%;
• Final exam – 30%.

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.

• Office hours. My office hours are a great opportunity for you to clear up concepts that you may not have perfectly understood. Do use them!
• Help room. The mathematics help room, at Milbank 333, is open from 10 am to 10 pm, Monday through Thursday, and between 1 pm and 5 pm on Friday. The TAs there will be able to help you with any problem you might have, especially with computation.
• Tutoring. Many graduate students offer tutoring services on a private, one-on-one basis. If you are interested, send an e-mail to tutoring20145@math.columbia.edu. In addition, the individual schools (e.g. Columbia College, Barnard, School of General Studies) also offer tutoring services. For more information, see the official webpage.

Other advice You should

• Read the material to be covered before each class. Make notes of things that confuse you.
• Ask a lot of questions during class. Active participation will help ensure you learn the material well. Almost always, students ask too few questions and allow things to go over their head for fear of looking silly or disrupting the class. Don't! If you are asking too many questions (or the wrong ones), I will let you know, but that is highly unlikely.
• Review the material covered on the same day after each class. This will help you retain whatever you have learned during class in your long-term memory.
• Start attempting the homework early. All too often, students rush into the help room a few hours before the problem set is due, hoping that the TAs will do their homework for them. Do not let this happen! The WebAssign problems are designed to give you an opportunity to practise; even if somebody does all the problems for you, you will not do well on the exams.
• Get help as soon as you need it. Do not wait. As soon as you are confused about something, come to office hours or go to the help room within a day or two. If you wait, you will be lost.
• Practise, practise, practise! This is the one and only one way to learn calculus well. Keep a list of hard problems to practise for your exams.

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
09/02	Introduction. Review of integrals. Fundamental Theorem of Calculus.	§5.1–5.4
09/04	Substitution.	§5.5
09/09	Integration by parts.	§7.1
09/11	Trigonometric integrals.	§7.2
09/16	Trigonometric substitution.	§7.3
09/18	Partial fractions I.	§7.4
09/23	Partial fractions II.	§7.4	Read §7.5 also. Learn to recognize which technique to use!
09/25	Volumes.	§6.2, 6.3
09/30	Arc length. Surfaces of revolution.	§8.1, 8.2	Mid-Term Exam 1 will cover §5.5, 7.1–7.5, 6.2–6.3.
10/02	Mid-Term Exam 1
10/07	Introduction to differential equations.	§9.1	Last day to drop class.
10/09	Separable equations.	§9.3
10/14	Exponential and logistic growth.	§9.4	Read §9.6 also.
10/16	Linear equations.	§9.5
10/21	Parametric equations.	§10.1, 10.2
10/23	Polar coordinates.	§10.3, 10.4
10/28	Conic sections.	§10.5	Mid-Term Exam 2 will cover §8.1–8.2, 9.1, 9.3–9.5, 10.1–10.4.
10/30	Mid-Term Exam 2
11/04	Election Day – University Holiday
11/06	Sequences. Series.	§11.1, 11.2
11/11	Integral test. Comparison test.	§11.3, 11.4
11/13	Alternating series. Absolute convergence.	§11.5, 11.6	11/14: Last day to pass/fail.
11/18	Ratio test. Root test.	§11.6	Read §11.7 also.
11/20	Power series.	§11.8
11/25	Functions as series.	§11.9
11/27	Thanksgiving Day - University Holiday
12/02	Taylor series.	§11.10	Read §11.11 also.
12/04	Review session.