MATH V2010:
Linear Algebra
Spring 2001
This page is
www.math.columbia.edu/~bayer/S01/linalg
Section 001 (Bayer)
Tuesdays and Thursdays, 10:35am-11:50am
202 Altschul Hall (Barnard)
Dave Bayer (x42643, 426 Mathematics,
www.math.columbia.edu/~bayer)
Bulletin page |
Directory of Classes :
Mathematics
Office Hours:
@readfile("http://www.math.columbia.edu/~bayer/officehours");?>
Final grades: I have posted an anonymous version of the
spreadsheet
used to compute final grades. If your midterm grades do not uniquely identify you, or if you
believe that they may have been entered incorrectly, please email me to ask for your ID
for this spreadsheet.
The letter grades for each individual exam are computed using the standard high school percentage
scale. I make no use of these letter grades; they are only there to make
you feel fortunate that I instead graded using a
curve based on class rank.
Section 002 (Etingof)
Tuesdays and Thursdays, 2:40pm-3:55pm
312 Mathematics Building
Pavel Etingof (x44756, 523 Mathematics)
Bulletin page |
Directory of Classes :
Mathematics
Office Hours:
@readfile("http://www.math.columbia.edu/~etingof/officehours");?>
Prerequisites: Math
V1106 Calculus IIS or Math
V1201 Calculus IIIA or the equivalent.
Text:
Linear Algebra with Applications Fifth Edition, by Steven J. Leon.
Prentice Hall, 1998, ISBN 0138493081.
University bookstore or
AddALL.
This semester we will cover chapters 1, 2, 3, 4, 5, 6.
Exams: There will be two exams (30 points each) and a final (40 points).
- First Exam, Thursday, February 15, in class
- Second Exam, Section 001 (Bayer) Thursday, March 29, in class
- Second Exam, Section 002 (Etingof), Tuesday, April 3, in class
- Final, Section 001 (Bayer), Tuesday, May 8, 9:00am-NOON
- Final, Section 002 (Etingof), Thursday, May 10, 1:10pm-4:00pm
These dates do not coincide with any religious holiday which causes suspension of
New York City's alternate side parking regulations; see
NYC Parking Calendar.
See also bnaibrith.org/caln.html.
Please discuss other conflicts with me well in advance of the exam in question.
Master University Examination Schedule
2000-2001 University Academic Calendar
Course materials: Course materials are posted in Acrobat PDF format. Your browser
can be trained to automatically open these files with Acrobat Reader, a free program which you can
download from http://www.adobe.com/products/acrobat/readermain.html.
- inverse.pdf describes a quick hand method for computing
3 by 3 inverses.
Class Schedule and Homework Assignments
Tuesday, January 16
1.1 Systems of Linear Equations. Exercises 1-8
Thursday, January 18
1.2 Row Echelon Form. Exercises 1-3, 5, 6, 19
Tuesday, January 23
1.3 Matrix Algebra. Exercises 1-10, 12, 20, 30
Thursday, January 25
1.4 Elementary Matrices. Exercises 1-5, 7, 9, 15
Tuesday, January 30
1.5 Partitioned Matrices. Exercises 4, 5, 7-10
Thursday, February 1
2.1 The Determinant of a Matrix. Exercises 1-4, 6, 10
Tuesday, February 6
2.2 Properties of Determinants. Exercises 1, 3, 4, 7, 10
Thursday, February 8
2.3 Cramer's Rule. Exercises 1-6
Tuesday, February 13
Thursday, February 15
Tuesday, February 20
3.1 Vector Spaces. Exercises 1-10
Thursday, February 22
3.2 Subspaces. Exercises 1-8
Tuesday, February 27
3.3 Linear Independence. Exercises 1-9
Thursday, March 1
3.4 Basis and Dimension. Exercises 1-8, 11
3.5 Change of Basis. Exercises 1-5, 8-10
Tuesday, March 6
3.6 Rowspace, column space. Exercises 1-7
Thursday, March 8
4.1 Linear transformations, definitions and examples. Exercises 1, 3-5, 12
Tuesday, March 13
Thursday, March 15
Tuesday, March 20
4.2 Matrix representation of linear transformations. Exercises 1-5
Thursday, March 22
4.3 Similarity. Exercises 1, 3-6
Tuesday, March 27
Thursday, March 29
Tuesday, April 3
5.1 The scalar product. Exercises 1-8
5.2 Orthogonal subspaces. Exercises 1, 2
Thursday, April 5
5.3 Inner product spaces. Exercises 1-4
5.4 Least squares problems. Exercises 1-6
Tuesday, April 10
5.5 Orthonormal sets. Exercises 1, 2, 4, 7, 8
5.6 The Gram-Schmidt orthogonalization process. Exercises 1-4
Thursday, April 12
6.1 Eigenvalues and eigenvectors. Exercises 1-5
6.2 Systems of linear differential equations. Exercise 1
Tuesday, April 17
6.3 Diagonalization. Exercises 1-4
Thursday, April 19
6.4 Hermitian matrices. Exercises 1, 4
6.5 Quadratic forms. Exercises 1, 3
Tuesday, April 24
6.6 Positive definite matrices. Exercises 1, 3, 4
Thursday, April 26
Tuesday, May 8
Final Exam, Section 001 (Bayer), 9:00am-NOON
Thursday, May 10
Final Exam, Section 002 (Etingof), 1:10pm-4:00pm