MAT 127 -- Calculus II
Fall, 2006

Text: The mathematics department at UM has selected "Calculus: Concepts and Connections" by Robert T. Smith and Roland B. Minton, published by McGraw Hill 2006, ISBN 0-07-282623-1. If you want the "MathZone" web-based tutorial package that goes with the text order it separately via ISBN 0-07-299439-8 or order the book with MathZone as a package using ISBN 0-07-301607-1. However, I do not insist that students purchase either product. If you have a different calculus text that you are comfortable with, it will probably be adequate. Contact me if you have any doubts.

Lectures: Mondays, Wednesdays and Fridays from 1:10-2pm in Merrill Hall 330; and Tuesdays from 1-1:50pm in Rogers 206. Certain class periods will be devoted to discussing homework problems as the need arises.

Math Help: The Math Lab in 419 Neville Hall will be staffed Monday through Thursday from noon until 4pm and Friday from noon until 3pm for the duration of the course. The Math Lab is an excellent gathering place to study and do homework.

Homework: Once the course gets underway, you should be able to access homework assignments at the URL http://webwork.umemat.maine.edu/webwork2/MAT127-Bradley/. Typically, your username will be your last name (all small letters) and your password your student ID number (SSN).

Tests: Take-home tests will be distributed one week before they are due. When completing tests, it is important to show appropriate supporting work. Since partial credit is granted for an answer that is correct except for minor details, this means the final answer is worth only a small fraction of the grade. Therefore, a solution that provides only the final answer will not earn full credit even if the answer is correct.

Syllabus:

Definition and Properties of the Integral Area under a Curve Riemann Sums The Definite Integral The Fundamental Theorem of Calculus Antidifferentiation Integration Techniques Substitution Integration by Parts Partial Fractions Tables of Integrals Improper Integrals Applications of Integration Area Between Curves, Volumes Arc Length, Surface Area Average Value of a Function Motion, Work, Pressure, Force Probability

Differential Equations Modeling with Differential Equations Direction Fields Separable Differential Equations Exponential Growth and Decay The Logistic Equation Infinite Sequences & Series Geometric and Monotonic Sequences Geometric, Harmonic and Alternating Series Conditional and Absolute Convergence Convergence Tests - Root, Ratio, Integral & Comparison Taylor Series, Binomial Series Interval and Radius of Convergence Using Series to Evaluate Integrals Using Series to Solve Differential Equations