1512-Honor Calculus II  (Fall 2004)

MATH 1512  Instructor:                                                                                          Location and Schedule: (Spring 2004)
Jean Bellissard                                                                                               LecturesSkiles  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: answers and solutions below !
 

 


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  CarvalhoBeginning 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

        One Hour Test #2:  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

        One hour test #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


        Final exam :  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.