1502- Calculus II  (Fall 2008)   ( to main page)


Calendar

        August 19th & 21st:   (main page) Taylor Polynomials anD Taylor Series, SH&E Sections 12.6-12.7
Reading: Salas-Hille-Etgen Sections 12.6-12.7
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Homework 1 :  
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 :    Monday August 25th,


August 26th & 28th: (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
Quiz 1 : 15 minutes, during recitations or lectures.
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Homework 2 :
   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 :    Wednesday September 3rd
(Sept. 1st is a school holiday)


September 2nd & 4th : (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.
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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 8th

September  9th: (main page)Infinite Series II, SH&E Sections 12.4-12.5,
  
September 11th:  (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.
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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 15th

September 16th: (main page)Numerical Integration, SH&E Sections 8.7
  
September 18th: (main page)Introduction to Vectors and Matrices I,   C2 Chapter 1 Sections 1 & 2
Reading: Salas-Hille-Etgen Sections 8.7  &  C2 Chapter 1 Sections 1 & 2
Quiz 4 :
15 minutes, during recitations or lectures.
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Homework 5 :
Salas-Hille-Etgen p. 440-441  Ex. 8.7: 1,2,3,5,8,10,15,17,20,25
                       C2  p.13-16   Exercises: 1.1 to 1.14 and
                      
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 September 22nd



September 23rd: Reviewing Analysis, Salas-Hille-Etgen All previous sections
One hour test #1:  (main page) Wednesday September 24th, during the recitation
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September 25th: (main page) Introduction to Vectors and Matrices II,   C2 Chapter 1 Sections 3-4
Reading:
C2 Chapter 1 Sections 3-4
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Homework 6 :
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
Due date :   
Monday September 29th


September 30th & October 2th: (main page)
Introduction to Vectors and Matrices III,  C2 Chapter 1 Sections 5-6
Reading:
C2 Chapter 1 Sections 5-6
Quiz 5 :
15 minutes, during recitations or lectures.
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Homework 7 : 
C2  p.70-73  Exercises: 5.4, 5.6, 5.10, 5.11, 5.14, 5.17, 5.20, 5.25, 5.26
                         
  p.83-84  Exercises: 6.2, 6.3, 6.5, 6.6, 6.7,
Due date :    Monday October 6th


October 7th & 9th : (main page) Systems of Linear Equations & Row Reduction I,
C2
Chapter 2 Sections 1-2-3
Reading:
C2 Chapter 2 Sections 1-2-3
Quiz 6 :
15 minutes, during recitations or lectures.
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Homework 8 :
C2  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 15th (Oct. 13th is a school holiday)




October 16th (Fall recess Oct 13-14): (main page) Systems of Linear Equations & Row Reduction II, C2 Chapter 2 Sections 3-4
Reading:
C2 Chapter 2 Sections 3-4-5
Quiz 7 : 
15 minutes, during recitations or lectures.
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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 20th


October 21st: (main page) Systems of Linear Equations & Row Reduction III, C2 Chapter 2 Section 5;
   
October 23rd: (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.
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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 October 27th


October 28th & 30th: (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.
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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 :  Prepare for Test #2,  
Monday November 3th,



One hour test #2:  (main page) Monday November 3rd, during the recitation
on C2  Chapters 1 & 2, Chapt 3 Sect 1-2
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November 4th & 6th: (main page) Kernel, Image, Subspaces, & Least Squares III, C2 Chapter 3 Section 3-4-5
Reading:
C2 Chapter 3 Section 3-4-5
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Homework 12 :
C2   p.196-198  Exercises 4.2, 4.3, 4.6, 4.9, 4.11, 4.14, 4.19, 4.20     
Due date :   
Monday November 10th


November 11th & 13th: (main page) Orthogonal Projections, Gram-Schmidt, QR Factorization II, C2 Chapter 3 Section 5-6-7
Reading:
C2 Chapter 3 Section 5-6-7
Quiz 10 : 
  15 minutes, during recitations or lectures.
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Homework 13 :
C2  p.218         Exercises 5.1, 5.2, 5.3, 5.5, 5.6, 5.7,
                              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 17th


November 18th & 20th: (main page) Determinants & Cross-product I & II, C2  Chapter 4 Section 1-2-3    
Reading:
C2 Chapter 4 Section 1-2-3
Quiz 11 :
   15 minutes, during recitations or lectures.
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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 24th, 12:05PM



November 25th (Thanksgiving is on the 27th) : (main page) 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. (Last quiz of the semester, may be offered on Monday)
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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 1st, 12:05PM


December 2th & 4th: (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
(Since this is the last week of teaching before the final exam, this homework is strongly recommended
 but there is no possibility to turn it in. However the Chapters 4 & 5 will be part of the final exam)



        Final exam: (main page)   (back to course informations)
       Section D:  Tuesday December 9,  8:00am-10:50am Howey L4

       Section K:  Friday December 12,  11:30am-2:20pm
  Howey L4
        Review : Salas-Hille-Etgen Chapter 8.7-11.5 to 11.7-12 and Carlen-Carvalho Chapters 1-5 .
        The Final exams will be made of short questions for 2/3 of the time,
        A 55-minutes problem will be proposed, with self contained questions,
        The final exam represents 40% of the final grade.