Analytic Geometry and Calculus III (Honors) Math 0240 Spring 2011 Benedum Hall G26, MWF 12:00-12:50

Announcements

Final Exam: Friday Apr. 29, 08:00 - 09:50 Thackeray Hall 704

See below for the information about the second homework, second quiz and the midterm exam schedule.

Graded problems for the first homework are listed below in bold.

Topics to be covered on the second midterm exam:

Lagrange multiplier theorem with one constrain.
Double and triple integrals. Fubini theorem. An important problem is to set the limits of the integration and how to change the limits of the integration if we change the order of integration.
Integration in polar, cylindrical and spherical coordinates.
Applications: density of mass, moments and centers of mass, moment of interia.
Line integrals. Remember that there are two different kinds of line integrals: with ds and with dx, dy, dz.
Conservative vector fields: the integral is line independedt, the integral over a closed curve is zero.
How to check that a given vector field is conservative and how to find a potential function.
Green's theorem with applications. It can be used in two ways: to compute the line integral over a closed curve by switching to an integral over a domain and also to compute the integral over a domain by switching to an integral over the boundary. Also you need to know the Green theorem for domains with holes.

Instructor

Piotr Hajlasz
Office: Thaceray Hall 622
Office hours: MWF 11:10-12:00 am + by appointment.
E-mail: hajlasz@pitt.edu or hajlasz@gmail.com (preferred one)

Textbook J. Stewart, Essential Calculus. Early Transcendentals.

Exam schedule:

First midterm exam: February 18 in class. Mean: 68.6, Median: 68. Solutions

Second midterm exam: March 30 in class.

Final exam: Solutions

The general syllabus and schedule is similar as the one for the regular Calculus III course. The main difference will be in the difficulty of the problems and the depth. We will also cover some additional materail.

So far we covered:

Sections 10.1-10.7

Section 10.8 (without curvature)

Section 10.9 (without tangentional and normal components of accelerattion)

Section 9.5. We went very briefly over the material, but you should read the section very carefully to learn details.

Section 10.9 Kepler's laws of planetary motion.

Sections 11.1-11.4.

Some logic.

Grades will be determined as follows:

Two midterm exams 50% (25% each)
Final exam 35%
Homework and quizzes 15%

The course will be curved to have a right distribution of grades.

Homework

You have to submit solutions to all of the problems, but only selected problems will be graded. The selection of what problems will be graded will be announced after the due date. They will simply be highlighted in the bold font.

Exercise 1.2.4 means Exercise 4 at the end of Section 1.2.

HW#1: (Due date: Thursday January 20, recitations)

10.1.16,

10.2.24,

10.3.20, 10.3.36, 10.3.40, 10.3.45(b),

10.4.16, 10.4.26, 10.4.36.

HW#2 (Due date: Thursday January 27, recitations)

9.5.12,

10.5.30, 10.5.40, 10.5.51,

10.6.34

10.7.54(a), 10.7.56, 10.7.66,

10.9.16, 10.9.26,

Additional (obligatory) problem

HW#3 (Due date: Tuesday, February 15, recitations)

Quizzes

No makup quizzes, but the lowest two scores from the quizzes will be dropped (that allows you to miss two quizzes without penalty). Each quiz problem will be graded in the scale 0-2. 2 if a solutions is more or less correct. 1 if it is not really a solution, but the ideas are correct. 0 otherwise.

Quiz #1: Thursday, January 20. Sections 10.1-10.4. The quiz will consist of two problems taken directly from the homework.

Quiz #2: Thursday, January 27. Sections 10.5-10.9. There will be two problems. They will be based on examples discussed in class.

Quiz #3: Thursday, February 3. Section 11.1 and partial differential equations.

Quiz#4: Thursday, February 10. Functions of several variables: continuity, partial derivatives, differentiability, tangent plane.

Important links

Academic Calendar

The University of Pittsburgh Calculus