MATH V1102: Calculus 2
Fall 2014

The most up-to-date information on this course can be found on the Courseworks page for this course.

Required Text Calculus: Early Transcendentals, 7th Edition, with WebAssign.
See this link for instructions on purchasing the text with Webassign and here for more information on WebAssign.

Time and place: MW 10:10-11:25 Location: 323 Milbank Hall (Barnard Campus)
Lecturer: Walter Neumann (x45074, 616 Mathematics, neumann@math.columbia.edu, www.math.columbia.edu/~neumann); office hours MW 12:30--1:30pm or by appointment
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.
Homework: There will be weekly homework using WebAssign.

Exams: There will be two 75-minute midterm exams and a final. Schedule:

If you have two final examinations scheduled at the same time, it is the responsibility of the other department to provide an alternate exam. Makeup Midterms will be given only under exceptional circumstances and need a note from a doctor or a dean.

Grading: The final course grade will be determined by:
    Homework: 25%
    Midterm exams each: 25%,
    Final exam: 25%.

Help: My office hours are MW 12:30-1:30 or by appointment. Help is also available without appointment in the Barnard Helproom (333 Milbank Hall).

Tentative Schedule: The following schedule may be modified as the course progresses.
Read the relevant textbook sections before the lecture.

Date Material Textbook Announcements
09/03 Introduction. Review of integrals. Fundamental Theorem of Calculus. §5.1–5.4
09/08 Substitution. §5.5
09/10 Integration by parts. §7.1
09/15 Trigonometric integrals. §7.2
09/17 Trigonometric substitution. §7.3
09/22 Partial fractions I. §7.4
09/24 Partial fractions II. §7.4
09/29 Volumes. §6.2, 6.3
10/01 Mid-Term Exam 1
10/06 Arc length. Surfaces of revolution. §8.1, 8.2 10/07: Last day to drop class
10/08 Introduction to differential equations. §9.1
10/13 Separable equations. §9.3
10/15 Exponential and logistic growth. §9.4, 9.5
10/20 Linear equations. §9.6
10/22 Parametric equations. §10.1, 10.2
10/27 Polar coordinates. §10.3, 10.4
10/29 Conic sections. §10.5
11/03 University Holiday
11/05 Sequences. Series. §11.1, 11.2
11/10 Mid-Term Exam 2
11/12 Integral tests. Comparison test. §11.3, 11.4 11/14: Last day to pass/fail.
11/17 Alternating series. Absolute convergence. §11.5, 11.6
11/19 Ratio test. §11.6
11/24 Power series. §11.8
11/26 Functions as series. §11.9
12/01 Taylor series. §11.10
12/03 Taylor series. §11.10
12/08 Review session.