Calculus III - AP

Department of Mathematical Sciences
WORCESTER POLYTECHNIC INSTITUTE
MA 1023, Calculus III - AP, Term A00
Sections: A05A, A06A, A08A, A09A, A10A

Main Instructor: B. Doytchinov Office: SH105D Office hours: Th 10:00am-noon, Fr 10:00am-11:00am e-mail:bogdand@wpi.edu

Teaching Assistant: Donna LaValley Office: SH204 Office hours: We noon-2:00pm, Th 10:00am-noon e-mail:djlv@wpi.edu

Teaching Assistant: Andre Freeman Office: SH204 Office hours: We 10:00am - noon, Th 1:00-3:00pm e-mail:afreeman@wpi.edu

Remark: One of the TA conducts the conference sections, while the other conducts the labs for the course. However, his office hours are not restricted to lab questions - any calculus questions can be brought to him.

TEXT

COURSE CONTENTS

• Ideterminate Forms and Improper Integrals. Indeterminate forms, L'Hopital's rule, improper integrals.
  Chapter 9.
• Sequences and series. Sequences, series, absolute and conditional convergence, tests of convergence, power series and operations with them, Taylor and MacLaurin series.
  Chapter 10.
• Numerical Methods and Approximations. Taylor polynomials, numerical integration, numerical solutions of equations.
  Chapter 11.
• Polar Coordinates, Curves and Vectors in 2D Polar coordinates, calculus and graphing in polar coordinates, parametric curves, vectors in the plane -- geometric and algebraic approach.
  Sections 6 -- 8 of Chapter 12, and Sections 1 -- 3 of Chapter 13.

LECTURES, CONFERENCES, and LABS

You are supposed to attend all lectures, conferences and labs. If you miss a class, it is your responsibility to make a copy of the classnotes from another student and make sure you learn what you have missed.

HOMEWORK

Homework will never be collected or graded, but if you don't do it on time, you will not get enough practice, and this will ultimately hurt your grade. As an incentive to do your homework, every Friday there will be a short quiz made entirely from homework problems. There will be 7 quizzes altogether. The five best of them will count toward the final grade; the two lowest quiz grades will be dropped.

TESTS and FINAL EXAM

No make-up tests will be given. However, you will have a chance to re-take one test in the following two cases:

• if you missed a test for a documented legitimate reason (illness, family emergency, etc.)
• if you got 70% or more on at least two of the tests during the term (this means at least 70% on each of the two -- not the average).

GRADES

The final grade for the course will be calculated in the following way:

• 30% of the grade come from the final exam
• 40% of the grade come from the three tests,
• 20% of the grade come from the Maple labs,
• 10% of the grade come from the 5 best quizzes.

These scores are combined to give a final number of points, between 0 and 100. Point ranges for the final grades are approximately given by:
A: 100-90
B: 89-80
C: 79-65
These cutoffs might go down a bit due to curving, but not by much. They will not go up. (In other words, 90 points guarantee you an A, etc).

Ancillary materials. On tests, you may bring a standard 8 1/2 by 11" sheet with handwritten notes on one side - no photographic copies of material are allowed. Calculators will be allowed on tests, but the problems will not assume you have one.

• Course Schedule.
• Maple Labs Page
• Calculus Tutoring Schedule for term A00.
• Final Exam with solutions as pdf file.

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