August 24th & 26th: (main page) L'Hospital's Rule and Improper Integrals, SH&E Sections 11.5-11.6-11.7

Reading: Salas-Hille-Etgen Sections 11.5-11.6-11.7

(back to course informations)

Homework 1 : SH&E p. 558-559 Ex. 11.5: 1, 2, 11, 21, 28, 44, 48, 53

p. 563-565 Ex. 11.6: 1, 3, 10, 12, 29, 53

p. 571-573 Ex. 11.7: 1, 4, 7, 9, 14, 17, 29, 53

Due date : Monday August 30th

August 31st &
September 2nd:
(main
page)
Taylor
Polynomials and Taylor Series,
SH&E
Sections 12.6-12.7

Reading: Salas-Hille-Etgen
Sections 12.6-12.7

Quiz 1 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 2 : SH&E p. 611-612 Ex. 12.6: 1,2,3,5,7,9,11,12,13,14,15,17,19,25,50,51,58

p. 616 Ex. 12.7: 1,2,3,4,5,6,8,11,15,16,28,30,33,34 (omit (b))

Due date : Wednesday September 8th (September 6 is a school holiday)

September 7th & 9th : (main page)Infinite Series I, SH&E Sections 12.1-12.3

Reading: Salas-Hille-Etgen Sections 12.1-12.3

Quiz 2 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 3 : Salas-Hille-Etgen p. 577 Ex. 12.1: 4,5,13,16,23

p. 584-585 Ex. 12.2: 1,2,5,9,11,12,13,15,20,23,27,29,37,

p. 592-593 Ex. 12.3: 1,4,5,6,13,14,21,25,23,32,40,50,51

Due date : Monday September 13th

September 14th: (main page)Infinite Series II, SH&E Sections 12.4-12.5,

September 16th: (main page)Power Series, SH&E Sections 12.8-12.9

Reading: Salas-Hille-Etgen Sections 12.4-12.5 & 12.8-12.9

Quiz 3 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 4 : Salas-Hille-Etgen p. 596-597 Ex. 12.4: 1,3,4,5,6,7,31,32,42,45

p. 601 Ex. 12.5: 1,3,4,5,7,8,13,15,23,26,27,42,

p. 622-623 Ex. 12.8: 1,4,5,6,7,13,33,42.43,47

p. 632-633 Ex. 12.9: 1,3,4,7,9,13,23,25,27,31,44,47,49,50

Due date : Monday September 20th

September 21th: (main page)Reviewing Analysis, Salas-Hille-Etgen All previous sections

** **
(main
page)
(back
to course informations)
** **

Wednesday September 22nd, during the recitation

September 23th: (main page) Numerical Integration, SH&E Sections 8.7

Reading: Salas-Hille-Etgen Sections 8.7

Quiz 4 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 5 : Salas-Hille-Etgen p. 440-441 Ex. 8.7: 1,2,3,5,8,10,15,17,20,25

Due date : Monday September 27th

September 28th & 30th: (main page) Introduction to Vectors and Matrices I, C2 Chapter 1 Sections 1-2-3

Reading: C2 Chapter 1 Sections 1-2-3

(back to course informations)

Homework 6 : C2 p.13-16 Exercises: 1.1 to 1.14

C2 p.28-33 Exercises: 2.1, 2.2, 2.3, 2.4, 2.6, 2.7, 2.10, 2.11,2.12,

2.13, 2.14,2.16, 2.19, 2.22, 2.28, 2.29, 2.32,

Due date : Monday October 4th

October 5th & 7th: (main page)

Introduction to Vectors and Matrices II, C2 Chapter 1 Sections 3-4-5

Reading: C2 Chapter 1 Sections 3-4-5

Quiz 5 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 7 : C2 p.44-49 Exercises: 3.1, 3.2, 3.3, 3.9, 3.10, 3.11, 3.12, 3.13,

3.14, 3.15, 3.16, 3.17, 3.18, 3.19, 3.20,

p.58-61 Exercises: 4.4, 4.5 4.6, 4.8, 4.9, 4.14

p.70-73 Exercises: 5.4, 5.6, 5.10, 5.11, 5.14, 5.17, 5.20, 5.25, 5.26

Due date : Monday October 11th

October 12th & 14th: (main page) Systems of Linear Equations & Row Reduction I,

C2 Chapter 1 Section 6 and Chapter 2 Sections 1-2-3

Reading: C2 Chapter 2 Sections 1-2-3

Quiz 6 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 8 : C2 p.83-84 Exercises: 6.2, 6.3, 6.5, 6.6, 6.7,

p.94-99 Exercises 1.2, 1.3, 1.5, 1.8, 1.10, 1.11, 1.13, 1.17, 1.18, 1.22, 1.24, 1.27

p.104-105 Exercises 2.1, 2.2, 2.3, 2.4

Due date : Wednesday October 20th (Fall recess on Monday 18th)

October 21st (Fall recess Oct 18-19) : (main page) Systems of Linear Equations & Row Reduction II,

C2 Chapter 2 Sections 4

Reading: C2 Chapter 2 Sections 4

Quiz 7 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 9 : C2 p.116-118 Exercises from 3.1 to 3.15

p.135-138 Exercises 4.1, 4.2, 4.3, 4.7, 4.9, 4.10

Due date : Monday October 25th

October 26th: (main page) Systems of Linear Equations & Row Reduction III, C2 Chapter 2 Section 5;

October 28th: (main page) Cholesky decomposition, Image of a matrix I, C2 Chap. 2 Sec. 5, Chap. 3 Sec 1

Reading: C2 Chapter 2 Sections 4-5; Chapter 3 Section 1-2

Quiz 8 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 10 : C2 p.151-156 Exercises 5.2, 5.4, 5.6, 5.7, 5.8, 5.13, 5.14, 5.18, 5.22

p.167 Exercises 1.2, 1.3, 1.5, 1.7, 1.8, 1.10, 1.11, 1.12

Due date : Monday November 1st

November 2nd & 4th: (main page) Kernel, Image, Subspaces, & Least Squares II, C2 Chapter 3 Section 2-3-4

Reading: C2 Chapter 3 Section 2-3-4

Quiz 9 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 11 : C2 p.184-185 Exercises 2.1, 2.2, 2.3, 2.5, 2.6, 2.8

p.195-197 Exercises 3.2, 3.5, 3.8, 3.10, 3.13, 3.15

Due date : , Monday November 8th,

(main page) (back to course informations)

Monday November 8th, during the recitation

on C2 Chapters 1 & 2, Chapt 3 Sect 1-2

(back to course informations)

November 9th & 11th: (main page) Kernel, Image, Subspaces, & Least Squares III, C2 Chapter 3 Section 3-4-5

Reading: C2 Chapter 3 Section 3-4-5

(back to course informations)

Homework 12 : C2 p.218 Exercises 5.1, 5.2, 5.3, 5.5, 5.6, 5.7,

p.206-208 Exercises 4.2, 4.3, 4.6, 4.9, 4.11, 4.14, 4.19, 4.20

Due date : Monday November 15th

November 16th & 18th: (main page) Orthogonal Projections, Gram-Schmidt, QR Factorization, C2 Chapter 3 Section 6-7

Reading: C2 Chapter 3 Section 6-7

Quiz 10 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 13 : C2 p.230-233 Exercises 6.1, 6.2, 6.3, 6.4, 6.5, 6.10, 6.12

p.242-245 Exercises 7.1, 7.2, 7.3, 7.8

Due date : Monday November 22nd

November 23rd (Thanksgiving is on the 25th) : (main page) Determinants & Cross-product I, C2 Chapter 4 Section 1-2

Reading: C2 Chapter 4 Section 1-2

Quiz 11 : 15 minutes, during recitations or lectures on Monday November 22nd

(back to course informations)

Homework 14 : C2 p.271-272 Exercises from 1.1 to 1.7

p.283-284 Exercises 2.1, 2.2, 2.3, 2.4, 2.5, 2.6

p.292-295 Exercices 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.9

Due date : Monday November 29th

November 30th: (main page) Determinants & Cross-product II, C2 Chapter 4 Section 2-3

Reading: C2 Chapter 4 Section 2-3

December 2nd :Eigenvalues, Eigenvectors & Diagonalization I, C2 Chapter 5 Section 1-2

Reading: C2 Chapter 4 Section 3 & Chapter 5 Section 1-2

Quiz 12 : 15 minutes, during recitations or lectures. (The last quiz of the semester may be offered on Monday)

(back to course informations)

Homework 15 : p.321-324 Exercices 1.1, 1.2, 1.3, 1.5, 1.6, 1.7, 1.8, 1.13

p.329-331 Exercices 2.1, 2.2, 2.3, 2.6, 2.7, 2.11

Due date : Monday December 6th

December 7th & 9th: (main page) Eigenvalues, Eigenvectors & Diagonalization II,

C2 Chapter 5 Section 3-4-5

Reading: C2 Chapter 5 Section 3-4-5

Quiz : No quiz

(back to course informations)

Homework 16 : C2 p.342-344 Exercices 3.1, 3.2, 3.3, 3.9, 3.10

p.353-356 Exercices 4.1, 4.2, 4.3, 4.8, 4.11

p.371-372 Exercices 5.1, 5.2, 5.3, 5.5, 5.7

Quiz 1 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 2 : SH&E p. 611-612 Ex. 12.6: 1,2,3,5,7,9,11,12,13,14,15,17,19,25,50,51,58

p. 616 Ex. 12.7: 1,2,3,4,5,6,8,11,15,16,28,30,33,34 (omit (b))

Due date : Wednesday September 8th (September 6 is a school holiday)

September 7th & 9th : (main page)Infinite Series I, SH&E Sections 12.1-12.3

Reading: Salas-Hille-Etgen Sections 12.1-12.3

Quiz 2 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 3 : Salas-Hille-Etgen p. 577 Ex. 12.1: 4,5,13,16,23

p. 584-585 Ex. 12.2: 1,2,5,9,11,12,13,15,20,23,27,29,37,

p. 592-593 Ex. 12.3: 1,4,5,6,13,14,21,25,23,32,40,50,51

Due date : Monday September 13th

September 14th: (main page)Infinite Series II, SH&E Sections 12.4-12.5,

September 16th: (main page)Power Series, SH&E Sections 12.8-12.9

Reading: Salas-Hille-Etgen Sections 12.4-12.5 & 12.8-12.9

Quiz 3 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 4 : Salas-Hille-Etgen p. 596-597 Ex. 12.4: 1,3,4,5,6,7,31,32,42,45

p. 601 Ex. 12.5: 1,3,4,5,7,8,13,15,23,26,27,42,

p. 622-623 Ex. 12.8: 1,4,5,6,7,13,33,42.43,47

p. 632-633 Ex. 12.9: 1,3,4,7,9,13,23,25,27,31,44,47,49,50

Due date : Monday September 20th

September 21th: (main page)Reviewing Analysis, Salas-Hille-Etgen All previous sections

Wednesday September 22nd, during the recitation

September 23th: (main page) Numerical Integration, SH&E Sections 8.7

Reading: Salas-Hille-Etgen Sections 8.7

Quiz 4 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 5 : Salas-Hille-Etgen p. 440-441 Ex. 8.7: 1,2,3,5,8,10,15,17,20,25

Due date : Monday September 27th

September 28th & 30th: (main page) Introduction to Vectors and Matrices I, C2 Chapter 1 Sections 1-2-3

Reading: C2 Chapter 1 Sections 1-2-3

(back to course informations)

Homework 6 : C2 p.13-16 Exercises: 1.1 to 1.14

C2 p.28-33 Exercises: 2.1, 2.2, 2.3, 2.4, 2.6, 2.7, 2.10, 2.11,2.12,

2.13, 2.14,2.16, 2.19, 2.22, 2.28, 2.29, 2.32,

Due date : Monday October 4th

October 5th & 7th: (main page)

Introduction to Vectors and Matrices II, C2 Chapter 1 Sections 3-4-5

Reading: C2 Chapter 1 Sections 3-4-5

Quiz 5 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 7 : C2 p.44-49 Exercises: 3.1, 3.2, 3.3, 3.9, 3.10, 3.11, 3.12, 3.13,

3.14, 3.15, 3.16, 3.17, 3.18, 3.19, 3.20,

p.58-61 Exercises: 4.4, 4.5 4.6, 4.8, 4.9, 4.14

p.70-73 Exercises: 5.4, 5.6, 5.10, 5.11, 5.14, 5.17, 5.20, 5.25, 5.26

Due date : Monday October 11th

October 12th & 14th: (main page) Systems of Linear Equations & Row Reduction I,

C2 Chapter 1 Section 6 and Chapter 2 Sections 1-2-3

Reading: C2 Chapter 2 Sections 1-2-3

Quiz 6 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 8 : C2 p.83-84 Exercises: 6.2, 6.3, 6.5, 6.6, 6.7,

p.94-99 Exercises 1.2, 1.3, 1.5, 1.8, 1.10, 1.11, 1.13, 1.17, 1.18, 1.22, 1.24, 1.27

p.104-105 Exercises 2.1, 2.2, 2.3, 2.4

Due date : Wednesday October 20th (Fall recess on Monday 18th)

October 21st (Fall recess Oct 18-19) : (main page) Systems of Linear Equations & Row Reduction II,

C2 Chapter 2 Sections 4

Reading: C2 Chapter 2 Sections 4

Quiz 7 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 9 : C2 p.116-118 Exercises from 3.1 to 3.15

p.135-138 Exercises 4.1, 4.2, 4.3, 4.7, 4.9, 4.10

Due date : Monday October 25th

October 26th: (main page) Systems of Linear Equations & Row Reduction III, C2 Chapter 2 Section 5;

October 28th: (main page) Cholesky decomposition, Image of a matrix I, C2 Chap. 2 Sec. 5, Chap. 3 Sec 1

Reading: C2 Chapter 2 Sections 4-5; Chapter 3 Section 1-2

Quiz 8 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 10 : C2 p.151-156 Exercises 5.2, 5.4, 5.6, 5.7, 5.8, 5.13, 5.14, 5.18, 5.22

p.167 Exercises 1.2, 1.3, 1.5, 1.7, 1.8, 1.10, 1.11, 1.12

Due date : Monday November 1st

November 2nd & 4th: (main page) Kernel, Image, Subspaces, & Least Squares II, C2 Chapter 3 Section 2-3-4

Reading: C2 Chapter 3 Section 2-3-4

Quiz 9 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 11 : C2 p.184-185 Exercises 2.1, 2.2, 2.3, 2.5, 2.6, 2.8

p.195-197 Exercises 3.2, 3.5, 3.8, 3.10, 3.13, 3.15

Due date : , Monday November 8th,

(main page) (back to course informations)

Monday November 8th, during the recitation

on C2 Chapters 1 & 2, Chapt 3 Sect 1-2

(back to course informations)

November 9th & 11th: (main page) Kernel, Image, Subspaces, & Least Squares III, C2 Chapter 3 Section 3-4-5

Reading: C2 Chapter 3 Section 3-4-5

(back to course informations)

Homework 12 : C2 p.218 Exercises 5.1, 5.2, 5.3, 5.5, 5.6, 5.7,

p.206-208 Exercises 4.2, 4.3, 4.6, 4.9, 4.11, 4.14, 4.19, 4.20

Due date : Monday November 15th

November 16th & 18th: (main page) Orthogonal Projections, Gram-Schmidt, QR Factorization, C2 Chapter 3 Section 6-7

Reading: C2 Chapter 3 Section 6-7

Quiz 10 : 15 minutes, during recitations or lectures.

(back to course informations)

Homework 13 : C2 p.230-233 Exercises 6.1, 6.2, 6.3, 6.4, 6.5, 6.10, 6.12

p.242-245 Exercises 7.1, 7.2, 7.3, 7.8

Due date : Monday November 22nd

November 23rd (Thanksgiving is on the 25th) : (main page) Determinants & Cross-product I, C2 Chapter 4 Section 1-2

Reading: C2 Chapter 4 Section 1-2

Quiz 11 : 15 minutes, during recitations or lectures on Monday November 22nd

(back to course informations)

Homework 14 : C2 p.271-272 Exercises from 1.1 to 1.7

p.283-284 Exercises 2.1, 2.2, 2.3, 2.4, 2.5, 2.6

p.292-295 Exercices 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.9

Due date : Monday November 29th

November 30th: (main page) Determinants & Cross-product II, C2 Chapter 4 Section 2-3

Reading: C2 Chapter 4 Section 2-3

December 2nd :Eigenvalues, Eigenvectors & Diagonalization I, C2 Chapter 5 Section 1-2

Reading: C2 Chapter 4 Section 3 & Chapter 5 Section 1-2

Quiz 12 : 15 minutes, during recitations or lectures. (The last quiz of the semester may be offered on Monday)

(back to course informations)

Homework 15 : p.321-324 Exercices 1.1, 1.2, 1.3, 1.5, 1.6, 1.7, 1.8, 1.13

p.329-331 Exercices 2.1, 2.2, 2.3, 2.6, 2.7, 2.11

Due date : Monday December 6th

December 7th & 9th: (main page) Eigenvalues, Eigenvectors & Diagonalization II,

C2 Chapter 5 Section 3-4-5

Reading: C2 Chapter 5 Section 3-4-5

Quiz : No quiz

(back to course informations)

Homework 16 : C2 p.342-344 Exercices 3.1, 3.2, 3.3, 3.9, 3.10

p.353-356 Exercices 4.1, 4.2, 4.3, 4.8, 4.11

p.371-372 Exercices 5.1, 5.2, 5.3, 5.5, 5.7

(main page) (back to course informations)

Section D: Thursday December 16th, 8:00am-10:50am Howey L3

Section K: Tuesday December 14th, 2:50pm- 5:40pm Howey L4

Review : Salas-Hille-Etgen Chapters 8.7, 11.5 to 11.7, 12 and Carlen-Carvalho Chapters 1-5 .

The Final exams will be made of short questions: (i) 1/3 on Analysis, (ii) 1/3 on Linear Algebra,

A 55-minutes problem will be proposed, with self contained questions,

The final exam represents 40% of the final grade.