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 problemsolving, 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 
GaussJordan 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 
GramSchmidt, 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
