The syllabus of the course will actually go through the
contents
of the first 7 chapters of the textbook :
Syllabus :
Linear Equations
- Linear Systems, Matrices, Vectors(*) and Gauss-Jordan Elimination :
1.1 , 1.2
- On the Solutions of Linear Systems , Matrix Algebra : 1.3
Linear Transformations
- Linear Transformations and their Geometry : 2.1 , 2.2
- Inverse of a Linear Transformation : 2.3
- Matrix Products : 2.4
Subspaces of R^n and Their Dimensions
- Image and Kernel : 3.1
- Bases and Linear Independence : 3.2
- Dimension : 3.3
MIDTERM 1 , Wednesday 2th March , See below for details
- Coordinates : 3.4
Linear/Vector Spaces
- Linear Spaces or Vector Spaces : 4.1
- Linear Transformations and Isomorphisms : 4.2
- Coordinates in a Linear Space : 4.3
Orthogonality and Least Squares
- Orthogonal Projections and Orthonormal Bases : 5.1
- Gram-Schmidt Process and QR Factorization : 5.2
- Orthogonal Transformations and Matrices : 5.3
- Inner Product Spaces : 5.5
MIDTERM 2 , Wednesday 13th April , See below for details
Determinants
- Introduction to determinants : 6.1
- Properties of determinants, Cramers Rule, Adjoint&Inverse of a matrix
: 6.2, part of 6.3
Eigenvalues and Eigenvectors
- Eigenvalues : 7.2
- Eigenvectors : 7.3
- Diagonalization : 7.4
FINAL , Monday May 16th at 8:00pm-10:30,
See below for details
(*)If you want to review vectors and their algebra, you may consult to
the appendix at the end of the book
Homework:
HW01 : 1.1-7,9,11,37
1.2-9,11,13,18,31,35
1.3-4,19,37,55,57,59
HW02 : 2.1-5,8,10,42
2.2-6,7,8,26,28
2.3-5,11
HW03 : 2.3-7,13,19,31
2.4-3,7,12,27,40
HW04 : 3.1-5,10,13,15,24,34,42
3.2-6,8,17,19,24,25,28,31,33
HW05 : 3.3-15,19,20,25,28
3.4-15,19,21,27,55,56,59
HW06 : 4.1-24,27,35,51
4.2-53,54,55,58,59,60
HW07 : 4.3-13,16,21,27,28,47,55,63
5.2-7,13
HW08 : 5.1-11,27
5.2-21,27
5.3-35,40
5.5-5,10,11,20,23,27
HW09 : 6.1-9,37,39
6.2-4,9,17,24
6.3-22,23,25,30,31
HW10 : 7.1-38
7.2-3,9,11
7.3-3,15
7.4-7,9,13,15,17,19,49
due monday , april 9th, at the
beginning of the class
MIDTERM 1 INSTRUCTIONS:
- Here are some practise problems for the
midterm,
try to study till you feel comfortable with those
- Midterm 1 covers the first 3 Chapters (3.4 excluded)
- There will be no new HW assignment on the week of midterm
- Midterm is going to take place in class , P113
- You're supposed to be ready in class at 6:45pm
- No calculators, books and notes are allowed. If you have your book or
notes with you, they should stay in a bag during the exam, not to be seen from
outside.
MIDTERM 2 INSTRUCTIONS:
- Here are some practise problems for the
midterm,
try to study till you feel comfortable with those
- Midterm 2 covers the sections 3.4 to 5.3, and 5.5
- There will be no new HW assignment on the week of midterm
- Midterm is going to take place in class , P113
- You're supposed to be ready in class at 6:45pm
- No calculators, books and notes are allowed. If you have your book or
notes with you, they should stay in a bag during the exam, not to be seen from
outside.
- Solutions to the midterm:
p1,
p2,
p3,
p4
FINAL INSTRUCTIONS:
- Here are some practise problems for the
final, try to study till you feel comfortable with those
- Final is cumulative with emphasis on the sections 5.5 and on.
- There'll be a problem session on Friday at 4:30 this week, in P131.
Come with questions
- Wednesday and Friday afternoons i'll be around for your questions,
especially in the office hour.
- Exam Location: Usual classroom , P113
- You're supposed to be ready in the exam place at 7:55pm
- No calculators, books and notes are allowed. If you have your book or
notes with you, they should stay in a bag during the exam, not to be seen from
outside.
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