Math 8, Calculus of Functions of One and Several Variables (Winter 2010)

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General Information

Examinations Grades Instructor Scheduled Lectures Homework Policy
Textbook Honor Principle Tutorials Study Groups Disabilities

Examinations

There will be two midterm examinations and a final examination. These exams are scheduled as follows:

Midterm I
Silsby 028 Tuesday 2/2 5:00–7:00 pm
Midterm II
Silsby 028 Tuesday 2/23 5:00–7:00 pm
Final Exam
Filene Auditorium,
Moore Hall
Friday 3/12 3:00–6:00 pm

If you have a legitimate conflict with these exam dates and times, please contact your instructor as soon as possible. Please do not wait until shortly before the exam.

Grades

Midterm I 100
Midterm II 100
Final Exam 200
Webwork Homework
50
Handed-in Homework
50
Total 500

It is each student's responsibility to be aware of academic deadlines as stated by the Registrar.

Instructor

Vince Vatter
Office: 314 Kemeny Hall
Office hours: Tuesdays and Thursdays, 1-2pm
Phone: 646-3507
Blitzmail: vincent.vatter (preferred)

Scheduled Lectures

Section 1 MWF 12:30-1:35
(x-hour Tues 1:00-1:50)
Kemeny 007
Section 2 MWF 1:45-2:50
(x-hour Thurs 1:00-1:50)
Kemeny 007

The x-hour may be used occasionally and you will be informed in advance as to when it will be used.

Lecture Date Topics Reading
1 Monday 1/4 Taylor polynomials Notes 1.1
2 Wednesday 1/6 The Remainder Theorem Notes 1.2
3 Friday 1/8 Sequences and their limits Notes 2.1
4 Monday 1/11 An introduction to series
Homework #1 due
Notes 2.2
5 Wednesday 1/13 Geometric series Notes 2.3
6 Friday 1/15 The integral test Notes 2.4
Monday 1/18 Class cancelled for Martin Luther King Jr. Day
7 Tuesday 1/19 for Section 1
Wednesday 1/20 for Section 2
The comparison test Notes 2.5
Wednesday 1/20 Homework #2 due
8 Wednesday 1/20 for Section 1
Thursday 1/21 for Section 2
The ratio test Notes 2.6
9 Friday 1/22 Absolute vs. conditional convergence Notes 2.7 and 2.8
10 Monday 1/25 Radii and intervals of convergence for power series
Homework #3 due
Notes 3.1
11 Wednesday 1/27 Manipulation and derivation of power series Notes 3.2
12 Friday 1/29 Taylor and Maclaurin series Notes 3.3
13 Monday 2/1 Integration by substitution and by parts
Homework #4 due
Stewart 5.5 and 8.1
Tuesday 2/2 First Midterm Exam: 5:00–7:00pm
Covers lectures 1–12
14 Wednesday 2/3 Trigonometric integrals Stewart 8.2
15 Friday 2/5 Trigonometric substitution Stewart 8.3
16 Monday 2/8 Three dimensional coordinates and vectors
Homework #5 due
Stewart 13.1 and 13.2
17 Tuesday 2/9 for Section 1
Wednesday 2/10 for Section 2
The dot product Stewart 13.3
18 Wednesday 2/10 for Section 1
Thursday 2/11 for Section 2
Lines and planes I Stewart 13.5 (half)
Friday 2/12 Class cancelled for Winter Carnival
19 Monday 2/15 The cross product
Homework #6 due
Stewart 13.4
20 Wednesday 2/17 Lines and planes II Stewart 13.5 (half)
Friday 2/19 Class cancelled
21 Monday 2/22 Vector functions and their derivatives and integrals
Homework #7 due
Stewart 14.1 and 14.2
Tuesday 2/23 Second Midterm Exam: 5:00–7:00pm
Covers lectures 13–20
22 Wednesday 2/24 Motion in space, arc length, and an introduction to functions of several variables Stewart 14.3, 14.4, and 15.1
23 Friday 2/26 Partial derivatives Stewart 15.3
24 Monday 3/1 Tangent planes and the chain rule
Homework #8 due
Stewart 15.4 and 15.5
25 Wednesday 3/3 for Section 2 Directional derivatives Stewart 15.6
26 Friday 3/5 Maxima and minima Stewart 15.7
27 Monday 3/8 Maxima and minima
Homework #9 due
Stewart 15.7
Friday 3/12 Final Exam

Homework Policy

Textbook

The Honor Principle

Tutorials

Study Groups

Disabilities