1502- Calculus II  (Fall 2010)   ( to main page)


Calendar     to main page)


       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.
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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 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

50-min test #1:  (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 :  Prepare for Test #2,  
Monday November 8th,



50-min. test #2:  (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
(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: 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.