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

Spivak, Calculus, Chapter IV sections 20-24

(The book used in 1502 is

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.

The homeworks need not be turned in. Check will be made in quiz and tests.

Quiz 25%

One Hour Tests 35%

Final 40%

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

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.