1502- Calculus II  (Fall 2009)   ( to main page)


Calendar

       August 18th & 20th: (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
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        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 24th
        August 25th & 27th:   (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.
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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 :    Monday August 31st,



September 1st & 3rd : (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 :    Wednesday September 9th (September 7 is a school holiday)

September  8th: (main page)Infinite Series II, SH&E Sections 12.4-12.5,
   September 10th:  (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 14th

 September 15th: (main page)Numerical Integration, SH&E Sections 8.7
   September 17th: (main page)Reviewing Analysis, Salas-Hille-Etgen All previous sections

Reading: Salas-Hille-Etgen Sections 8.7
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 21st



 September 22rd: Introduction to Vectors and Matrices I,   C2 Chapter 1 Sections 1
Reading: C2 Chapter 1 Sections 1 & 2
One hour test #1:  (main page) Wednesday September 23th, during the recitation
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September 24th: (main page) Introduction to Vectors and Matrices II,   C2 Chapter 1 Sections 2-3
Reading: C2 Chapter 1 Sections 2-3
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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 September 28th



September 29th & October 1st: (main page)
Introduction to Vectors and Matrices III,  C2 Chapter 1 Sections 3-4-5
Reading: C2 Chapter 1 Sections 3-4-5
Quiz 5 : 15 minutes, during recitations or lectures.
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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 :    Wednesday October 7th (Monday October 5th is a School holiday)


October 8th (Fall recess Oct 5-6): (main page) Systems of Linear Equations & Row Reduction I,
C2 Chapter 1  Section 6 and Chapter 2 Sections 1-2
Reading: C2 Chapter 2 Sections 1-2
Quiz 6 : 15 minutes, during recitations or lectures.
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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
Due date :    Monday October 12th




October 13th & 15th : (main page) Systems of Linear Equations & Row Reduction II, C2 Chapter 2 Sections 3-4
Reading: C2 Chapter 2 Sections 2-3-4
Quiz 7 :  15 minutes, during recitations or lectures.
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Homework 9 :  C2 p.104-105  Exercises 2.1, 2.2, 2.3, 2.4
                                   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 19th


 October 20th: (main page) Systems of Linear Equations & Row Reduction III, C2 Chapter 2 Section 5;
    October 22nd: (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 26th


 October 27th & 29th: (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 2nd,



 One hour test #2:  (main page) Monday November 2nd, during the recitation
on C2  Chapters 1 & 2, Chapt 3 Sect 1-2
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November 3rd & 5th: (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.206-208  Exercises 4.2, 4.3, 4.6, 4.9, 4.11, 4.14, 4.19, 4.20     
Due date :    Monday November 9th


 November 10th & 12th: (main page) Orthogonal Projections, Gram-Schmidt, QR Factorization, 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 16th


November 17th & 19th: (main page) Determinants & Cross-product, 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 23rd



 November 24th (Thanksgiving is on the 26th) : (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 November 30th


December 1st & 3rd: (main page) Eigenvalues, Eigenvectors & Diagonalization II, 
C2 Chapter 5 Section 3-4-5
Reading: C2 Chapter 5 Section 3-4-5
Quiz : No quiz
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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)
       Wednesday December 9,  8:00am-10:50am Howey L3
        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: (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.