1512-Honor Calculus
II (Fall 2004)
MATH 1512
Instructor:
Location and Schedule:
(Spring
2004)
Jean
Bellissard
Lectures: Skiles 202 Tuesday-Thursday 9:35-10:55PM
Professor of Mathematics and
Physics
Recitations: Monday-Wednesday
10:05-10:55AM,
School of Math, Skiles
132 , Physics Howey W511
83240, Skiles 170, Teaching Assistant Miles Stoudenmire,
Phone: (404)
385-2179 (Math), 404-385-2509 (Phys)
83759, Skiles 149,
Teaching Assistant Serguei
Norine,
Fax: (404)
894-4409
From:
August 16th till
December 2nd 2004
e-mail: jeanbel@math.gatech.edu
Office Hours: Skiles 132 Tuesday 4:30-5:30PM
Final Exam: Thursday December 9th 8:00-10:50AM Skyles 202
The Final exams will be made of short questions for 2/3 of the time,
covering Spivak, Calculus, Chapter IV sections 20-24
and Henry Helson, Linear Algebra, Chapter 1-4,
A one-hour problem will be proposed, with self contained questions,
which might include material from Henry Helson, Linear Algebra, Chapter 5.
The final exam represents 40% of the final grade (see Final Grade below).
Practice test: students who want to practice more before the exam
are advised to solve the exercises of the Carlen Carvalho book, including
exercises of Chapter 5.
Final Exam: answers and solutions (pdf) (ps)
Course outline
Description
Taylor Approximation
Infinite Series and Power Series
Linear
Algebra, the theory of linear functions and equations in several
variables
Textbooks
Spivak, Calculus, Chapter IV sections 20-24
(The book used in 1502 is Calculus, by
Salas, Hille and Etgen, 9th edition, Sections 8 & 10-11)
Henry Helson, Linear Algebra,
15 The Crescent, Berkeley CA 94708, helson@socrates.berkeley.edu,
(510) 848-8629
Eric Carlen, Maria
Conceição Carvalho, Beginning with Linear Algebra,
Final Exam
December 9th, 8:00-10:50AM Skyles 202.
Final Grade
The homeworks need not be turned in. Check will be made in quiz and
tests.
Quiz
25%
One Hour Tests
35%
Final
40%
Calendar
Lectures August 17th &
19th: Approximation
by polynomials, Spivak
Chapter 20
Reading: Spivak Chapter
20
Homework 1 : Spivak p.
427-433, Problems 1, 2, 3, 6, 8, 10, 16, 19
Due date : Monday August
23rd, 10:00AM
Quiz 1 : Wednesday
August 25th, 15-20 minutes, during the recitation 10:00AM
Lectures August 24th
& 26th: Spivak Chapter
22
Reading: Spivak Chapter
21 & 22
Homework 2 : Spivak p.
453-462, Problems 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 20, 27, 30
Quiz 2 : Wednesday
September 1st, 15-20 minutes, during the recitation 10:00AM
Lectures August 31th
& September 2nd: Spivak Chapter
23
Reading: Spivak Chapter
23
Homework 3 : Spivak p.
482-490, Problems 1, 2, 3, 4, 5, 7, 9, 10, 12, 13, 15, 18, 21, 25, 26,
27
(Sept. 6th is a school holiday)
Quiz 3 : Wednesday
September 8th, 15-20 minutes, during the recitation 10:00AM
Lectures September 7th
& 9th: Spivak Chapter
24
Reading: Spivak Chapter
24
Homework 4 : Spivak p.
508-516, Problems 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 19, 21, 25, 27,
31
One
hour test #1
: Wednesday September 15th, during the recitation 10:00AM,
on Spivak Chapters 20-24
Lecture
September 21st: Reviewing
Chapters 20-24 in Spivak's book
Lecture
September 23rd: Helson
Chapter 1.1-1.2 pages 1-12
Reading: Helson Chapter 1
1/2- hour test 1 : Wednesday September 22nd, during the
recitation 10:00AM, on Spivak Chapters 20-24
Homework 5 : Helson p. 5-6, Problems 1, 2, 3, 4, 5, 6, Helson
p.13-14: Problems 1, 2, 3, 4, 5, 6, 7
Lecture September 28th & 30th: Helson Chapter 1.3,1.4,1.5,1.6 pages 6-32
Reading: Helson Chapter 1.3, 1.4, 1.5, 1.6
Quiz 4 : Wednesday
September 29th, during the recitation 10:00AM , on homework #5
Homework 6 : Helson p.
17-18, Problems 1, 2, 3, 4, 5, p. 23-24: Problems 1, 2, 3, 4;
p.32-33 Problems
1,3,4,5,7,8,9,10,
Lecture October 5th & 7th: Helson Chapter 2.1-2.2-2.3-2.4 pages 37-58
Reading: Helson Chapter 2.1-2.2-2.3-2.4
Quiz 5 : Wednesday
October 6th, during the recitation 10:00AM, on homework #6
Homework 7 : Helson p.
34-35, Problems 1, 2, 3, 4, 5, 6, 7; p. 41-42: Problems 1, 2, 3, 4, 5,
6;
p.46-47 Problems 1,3,4,5,8,9,
Lecture October 12th & 14th: Helson Chapter 2.5-2.6-2.7-2.8 pages 59-81
Reading: Helson Chapter 2.5-2.6-2.7-2.8
Quiz 6 : Wednesday October
13th, during the recitation 10:00AM, on homework #7
Homework 8 : Helson p. 52,
Problems 1, 2, 3, 4, 5; p. 58: Problems 3, 4, 5, 6;
p.60-61 Problems
1,2,3,4; p.67-68 Problems 1,5,6,8,9
Lecture October 21st (Fall
recess on 18-19th): Helson Chapter 2.9-3.1 pages 82-93
Reading: Helson Chapter 2.9-3.1
: Wednesday October
20th,
during the recitation 10:00AM, on Helson Chapters 1 & 2.1-2.8
Homework 9 : Helson p.
75-76, Problems 1,4,5,7,11,12; p. 81: Problems 1,3,4; p.86 Problems
1,2,3,6;
p.87-88 Problems
1,4,6,7,8,11
Lecture October 26th &
28th:
Helson Chapter
2.6-2.7-2.8-2.9 pages 61-86
Reading: Helson Chapter 2.6-2.7-2.8.2.9
Quiz 7: Wednesday October
27th, during the recitation 10:00AM, on homework #8
Homework 10 : All problems from Section 2
Lecture November 2nd &
4th:
Helson Chapters 3.1-3.2-3.3-3.4
Reading: Helson Chapters 3.1-3.2-3.3-3.4
Quiz 8: Wednesday November
3rd, during the recitation 10:00AM, on Section 2
Homework 11 : Helson all problems from Sections 3.1-3.2-3.3-3.4
Lecture November 9th &
11th:
Helson Chapter 3.4-3.5-4.1-4.2 pages 107-130.
Reading: Helson Chapter 3.4-3.5-4.1-4.2
Quiz 9: Wednesday November
10th, during the recitation 10:00AM, on homework #11
Homework 12 : Helson all problems from Sections 3.4-3.5-4.1-4.2
Lecture November 16th &
18th:
Helson Chapter 4.1-4.2-4.3 pages
Reading: Helson Chapter 4.1-4.2-4.3
:
Wednesday November 17th, during the recitation
10:00AM, on Helson Chapters 2, 3
Homework 13 : Helson all problems from Section 4.1-4.2-4.3.
Lecture November 23th: Helson Chapters 4.4-4.5 pages
(Thanksgiving week)
Reading: Helson Chapters 4.4-4.5
Quiz 10:
Wednesday November 24th, CANCELED
Homework 14 : Review all problems of Section 4 and Sections 5.1-5.2
Lecture November 30th &
December 2nd: Helson Chapter 4.5-4.6-5.1-5.2 pages
Reading: Helson Chapter 5 entirely (this Chapter will not be taught entirely in course)
Quiz 11:
Wednesday December 1st, during the recitation
10:00AM, on homework #14
Homework 15 : all problems of Section 5, including sections 5.7-5.8-5.9
: week December 6-10,
Review : Spivak Chapter 20-24 and Helson Chapters 1-4 (reading Chapter 5 will help).
The Final exams will be made of short questions for 2/3 of the time,
covering Spivak, Calculus, Chapter IV sections 20-24
and Henry Helson, Linear Algebra, Chapter 1-4,
A one-hour problem will be proposed, with self contained questions,
which might include material from Henry Helson, Linear Algebra, Chapter 5.
The final exam represents 40% of the final grade.