1502- Calculus
II (Fall 2007)
Calendar
August 21st &
23th:
(main
page)
Taylor
Polynomials anD Taylor Series,
SH&E
Sections 12.6-12.7 (back)
Reading: Salas-Hille-Etgen
Sections 12.6-12.7
(back
to course outline)
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 27th, 12:05PM
August 28th & 30th:
(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.
(back
to course outline)
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 5th, 12:05PM (Sept. 3rd is a
school holiday)
September 4th & 6th :
(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 outline)
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 10th, 12:05PM
September
11th:
(main
page)Infinite
Series II,
SH&E
Sections 12.4-12.5,
September
13th:
(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 outline)
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: 1,3,4,5,7,8,13,15,1,23,26,27,42,49,51,56
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 17th, 12:05PM
September 18th:
(main
page)Numerical
Integration,
SH&E
Sections 8.7
September 20th:
(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.
(back
to course outline)
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 24th, 12:05PM
September 25th:
Reviewing Analysis,
Salas-Hille-Etgen All previous sections
(main
page) Wednesday
September
26th, during
the recitation 12:05-12:55PM,
September 27th:
(main
page) Introduction
to Vectors and
Matrices II, C2 Chapter
1 Sections
3-4
Reading: C2
Chapter
1 Sections 3-4
(back
to course outline)
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 October 1st, 12:05PM
October 2th & 4th :
(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.
(back
to course outline)
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 :
Wednesday October 12th, 12:05PM (Oct. 8th is a
school holiday)
October 11th (Fall recess Oct 8-9):
(main
page) Systems
of Linear Equations
& Row Reduction I, C2 Chapter
2 Sections
1-2
Reading: C2 Chapter
2 Sections
1-2
Quiz 6 : 15 minutes, during recitations or
lectures.
(back
to course outline)
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 :
Monday October 15th, 12:05PM
October 16th & 18th:
(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.
(back
to course outline)
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 22nd, 12:05PM
October 23th:
(main
page) Systems
of Linear Equations
& Row Reduction III,
C2 Chapter
2 Section 5;
October 25th:
(main
page) Kernel,
Image, Subspaces, &
Least Squares I,
C2 Chapter
3 Section
1-2
Reading: C2 Chapter
2 Sections
4-5; Chapter
3 Section
1-2
Quiz 8 : 15 minutes, during recitations or
lectures.
(back
to course outline)
Homework 10 : C2 p.151-156 Exercises 5.2, 5.4, 5.6, 5.7, 5.8, 5.10
p.167
Exercises 1.2, 1.3, 1.5, 1.7, 1.8, 1.10, 1.11, 1.12
Due date :
Monday October 29th, 12:05PM
October 30th & November 1st:
(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 outline)
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 5th, 12:05PM
(main
page) Monday
November 5th, during
the recitation 12:05-12:55PM
on
C2 Chapters 1 & 2, Chapt 3 Sect 1-2
November 6th & 8th:
(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 outline)
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 12th, 12:05PM
November 13th & 15th:
(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.
(back
to course outline)
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 19th, 12:05PM
November 20th: (Thanksgiving is on the 22nd)
(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.
(back
to course outline)
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
Due date : Wednesday November 28th, 12:05PM (Nov 26 is Monday after Thanksgiving)
November 27th:
(main
page) Determinants & Cross-product II,
C2 Chapter
4 Section
3,
November 29th:
(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.
(back
to course outline)
Homework 15 : C2 p.292-295 Exercices 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.9
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 3rd, 12:05PM
December 4th & 6th:
(main
page) Eigenvalues,
Eigenvectors &
Diagonalization II, C2 Chapter
5 Section 3-4-5
C2 Chapter
5 Section 3-4-5
Reading: C2 Chapter
5 Section 3-4-5
Quiz : No quiz
(back
to course outline)
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) Wednesday December
12, 8:00am-10:50am,
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.