| Instructor | Manabu Machida |
| Office | 3836 East Hall |
| Office hours |
TuWeTh 1pm–2pm (and by appointment) |
| Meeting times |
TuWeFr 9am–11am at 1096 EH |
Credit Exclusions: No credit granted to those who have completed
or are enrolled in MATH 214, 217, 419, or 420.
Prerequisites: Three courses beyond Math 110
Background and Goals:
This course is an introduction to the properties of and operations on
matrices with a wide variety of applications. The main emphasis is on
concepts and problem-solving, but students are responsible for some of
the underlying theory.
Content:
Matrix operations, echelon form, general solutions of systems of
linear equations, vector spaces and subspaces, linear independence and bases,
linear transformations, determinants, orthogonality,
characteristic polynomials, eigenvalues and eigenvectors,
and similarity theory.
Alternatives:
Math 419 (Linear Spaces and Matrix Theory) is an enriched version of
Math 417 with a somewhat more theoretical emphasis. Math 217 (Linear Algebra)
is also a more theoretical course which covers much of the material of
Math 417 at a deeper level. Math 420 is an Honors version of this course.
Subsequent Courses:
Math 420 is the natural sequel, but this course serves as prerequisite to
several courses: MATH 452, 462, 561, and 571.
Textbook:
Linear algebra with applications
by Otto Bretscher
Pearson Education 5th ed.
(ISBN: 9780321796974)
Exams:
-
Midterm Exam: Jul 25 (Fri), 9:10am–10:10am
@ 1096 EH [Chp.1, Chp.2, Chp.3]
-
Final Exam: Aug 14 (Thu), 10:30am–12:00pm
@ 1096 EH [Cumulative]
-
In the midterm exam you will be allowed to bring in one side of
a US Letter size (8.5''x11.0'') paper with notes on it. For the final
you will be allowed both sides of a US Letter size paper.
-
Calculators and other devices are not allowed in exams.
-
Exam dates are absolutely firm.
All students enrolled must plan to take exams at their scheduled times.
Grading Policy:
-
Homework, 27% :
Homework will be assigned on Friday and due the following Friday
at the beginning of the class. Late homework will not be accepted.
Lowest homework grade will be dropped.
You are encouraged to discuss the course material and
the assigned homework problems with your colleagues, but
are responsible for writing up your own solutions.
-
Matrix Project, 3%.
-
Midterm Exam, 30%; Final Exam, 40%.
Student Data Form:
Form
FAQ
Lecture Note:
Syllabus:
| 1: |
Fri, | Jun | 27 |
Gauss-Jordan elimination, Echelon form, Rank
first day handout
|
|
|
| 2: |
Tue, | Jul | 1 |
Linear transformations
|
|
|
| 3: |
Wed, | Jul | 2 |
Orthogonal projections
Homework Set 1 Due
(problems)
|
| |
Fri, | Jul | 4 |
Independence Day
|
| 4: |
Tue, | Jul | 8 |
Inverse
|
| 5: |
Wed, | Jul | 9 |
Matrix Project
(handout)
|
| 6: |
Fri, | Jul | 11 |
Image and kernel
Homework Set 2 Due
(problems)
|
| 7: |
Tue, | Jul | 15 |
Subspaces
|
| 8: |
Wed, | Jul | 16 |
Bases
|
| 9: |
Fri, | Jul | 18 |
Dimensions
Homework Set 3 Due
(problems)
|
|
|
| 10: |
Tue, | Jul | 22 |
Orthonormal bases
|
| 11: |
Wed, | Jul | 23 |
Gram-Schmidt, Orthogonal matrices
|
| |
Fri, | Jul | 25 |
Midterm Exam
|
| 12: |
Tue, | Jul | 29 |
Transpose, Least squares
|
|
|
| 13: |
Wed, | Jul | 30 |
Determinants
|
| 14: |
Fri, | Aug | 1 |
Geometrical interpretations of determinants
Homework Set 4 Due
(problems)
|
|
|
| 15: |
Tue, | Aug | 5 |
Eigenvalues and eigenvectors
|
| 16: |
Wed, | Aug | 6 |
Diagonalization
|
|
|
| 17: |
Fri, | Aug | 8 |
Symmetric matrices
Homework Set 5 Due
(problems)
|
| 18: |
Tue, | Aug | 12 |
Miscellaneous stuff
|
|
|
| |
Thu, | Aug | 14 |
Final Exam
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