Course Exams
Exam 1 (Fri. 9/21)
Material covered: HW 1 - HW 5, lectures up to Mon. 9/17.
I highly suggest you prepare for the exam by reviewing Homeworks 1 - 4, making
sure you can answer those questions, and doing
Homework 5
before Wed. 9/19.
Check your answers for Homework 5 with the
Homework 5 Solutions,
and
bring any questions you may have (on anything in the course)
on Wednesday, which will be a review. You are also welcome to come by during
office hours.
Exam 2 (Fri. 10/26)
Material covered: HW 6 - HW 10 (roughly Chapter 4 excluding 4.7, Section 2.2,
applications of Chapter 4 to linear transformations). In particular, you
should be able to
- Solve a system of linear equations
- Determine if a set is a vector space
- Determine if a vector v is in span S or if span(S)=V
- Determine if S is linearly independent
- Determine if S is a basis for V
- Determine the dimension of a vector space
- Find the coordinate vector for v with respect to a basis
- Determine v from a coordinate vector
- Determine the image/rank of a linear transformation
- Determine the kernel/nullity of a linear transformation
As before, I suggest you prepare by reviewing HW 6-9 and doing
Homework 10
before Wed. 10/24. Check your answers with
Homework 10 Solutions
and bring any questions you have the Wednesday before the exam. You are
also welcome to come by during office hours. Note: the Thursday before the exam
I have to teach until 10:15 so office hours will start after that.
Here are the
Exam 2 Solutions.
Please look over them along with your exams and come see me if you have
any questions about the material.
Final Examination (Sec.1 : Dec. 11 at 10:30, Sec. 4: Dec. 13 at 8am)
The final exam is cumulative, though it will focus more on the latter part
of the course. I suggest you review, at the minimum, Homeworks 11-15, Exam 2
and go over
Homework 16
before the exam. Please try to do Homework 16 before the last day of class,
and bring your questions as before. I highly recommend you treat Homework 16
as a practice exam (study, then try it on your own without any help).
(Of course, the real exam will include more questions similar to those on
Exam 2 also.)
Then you may check your answers with mine:
Homework 16 Solutions.
Good luck!