Linear algebra, MA 415, Section N 13, Spring 2007
Instructor: Christian Rosendal, room 304 Altgeld Hall
Course webpage:
http://www.math.uiuc.edu/~rosendal/MA415.html
Exam syllabus:
Required text: Steven J. Leon; Linear Algebra, with applications;
7th edition; Pearson - Prentice Hall.
Course hours: Tuesday and Thursday 10:30-11:50 AM in Henry Building
156.
Office hours: Wednesday 10:30-11:50 AM in Altgeld Hall 304. For fairness,
I do not answer questions concerning homework still due.
Homework: There will be 9 homework sets in the course of the
semester. These are to be handed in at the latest at noon on the due date
and any homework handed in after this deadline will be credited for 0
points. The homework grade will be the average of the 8 highest scores,
so, e.g.,
if you have missed one homework set, then this will be counted as your
lowest score. There are no other exceptions possible.
Also, unless you can point out a specific mistake in the calculation of the homework score,
there will be no correction of this. I do not give extra credits for asking.
Midterms: There will be three midterms each taking place during
regular class hours.
These will take place on:
To be excused from a midterm you will need to provide a valid excuse and a
letter from the emergency dean to this effect. You will not have the
chance to make up an exam, so if you are excused from a midterm your
midterm grade will be the average of the remaining scores on your
midterms. It is your responsibility to be in time for an exam, not your alarm clock's.
Final exam: The final exam will take place Monday, May 7th, 8-11
AM.
Grade: Your grade will be a weighted average of your homework,
midterm, and final grades calculated as follows:
I do not use a curve when determining your grade, so your grade is
independent from the performance of other students. Also, during the semester it is impossible to
calculate or estimate your grade based on the homework sets or midterms, so don't ask. But I will
calculate average scores on the midterms, which will give you a vague idea.
Other course policies: Due to the number of students in class, I
will not be able to answer emails. If you have an administrative question, then either come and see me
during office hours or ask me immediately after class. Mathematical
questions should be posed during office hours.
Instructions for the midterms:
The midterm will take place in class during regular class hours.
You will not be allowed to bring any electronic devices, i.e., calculators etc.
The midterms are without books and notes, so just bring a pen or pencil.
The duration of the exam will be approximately 1 hour beginning at 10:30 AM. So be there on time.
The exercises in the midterm will be of the same sort as those given in the homeworks and other assigned exercises. So you will be required to do small proofs of various sorts and calculations on concrete objects.
Weekly programme:
The exercises assigned here are complementary to the ones assigned as homeworks. These are not to be handed in.
Jan. 22 - 28:
Read sections: 1.1, 1.2, 1.3, 1.4, 2.1.
Do exercises: 1.1.6; 1.1.10; 1.2.1; 1.2.2 (d); 1.2.3 (b),(c); 1.2.5 (i),(j); 1.3.2.
Jan. 29 - Feb. 4:
Read sections: 2.1; 2.2.
Do exercises: 1.3.10; 1.3.12; 1.3.13; 1.3.14; 1.4.3 (a),(c); 1.4.4 (c); 1.4.6; 1.4.8, 1.4.12 (a),(c).
Feb. 5 - 11:
Read sections: 3.1; 3.2; 3.3.
Do exercises: 2.1.3; 2.2.1; 2.2.6; 2.2.8; 2.2.13; 2.2.14; 2.2.15.
Feb. 12 - 18:
Read sections: 3.4; 3.5; 3.6.
Prepare for the first midterm: It will cover sections 1.1, 1.2, 1.3, 1.4, 2.1, 2.2, 3.1, 3.2, and 3.3.
Make sure you have done all the exercises above. Also do: 3.1.3; 3.1.5; 3.1.8; 3.1.13; 3.1.15; 3.1.16; 3.2.1; 3.2.4; 3.2.6; 3.2.12; 3.2.15; 3.2.18; 3.3.2; 3.3.4; 3.3.5; 3.3.7; 3.3.14.
Feb. 19 - 25:
Read sections: 3.4, 3.5, 3.6.
Feb. 26 - March 4:
Read sections: 4.1, 4.2, 4.3.
Do exercises: 3.4.3, 3.4.4, 3.4.10, 3.4.13, 3.4.14, 3.5.6, 3.5.7, 3.6.1, 3.6.2, 3.6.3, 3.6.4.
March 5 - March 11:
Read sections: 5.1, 5.2, 5.3.
Do exercises: 3.6.6, 3.6.9, 3.6.10, 3.6.25, 3.6.30, 4.1.1, 4.1.3, 4.1.10, 4.1.21, 4.2.2.
March 12 - March 18:
Read section 5.4 and prepare for the second midterm that takes places on Tuesday 13th. The material covered
in the midterm will be sections 3.1 - 3.6 and 4.1 - 4.3 and of course earlier material.
Do also exercises: 4.3.3, 4.3.5, 4.3.6, 4.3.8, 4.3.14, 5.1.3, 5.1.5, 5.1.13, 5.1.14.
March 26 - April 1:
Read sections 5.3 - 5.6.
April 2 - April 8:
Read sections 5.5, 5.6, 6.1, 6.3.
Do exercises 5.3.1, 5.4.4, 5.4.7, 5.4.10.
April 9 - April 15:
Prepare for the last midterm and read sections 6.1, 6.3, 6.4.
Midterm exam preparation: 5.5.2, 5.5.3, 5.5.5, 5.5.8, 5.5.9, 5.6.3, 5.6.4, 5.6.7, 5.6.13.
April 16 - April 22:
Read sections 6.5, 6.6.
Do exercises: 6.1.1, 6.1.3, 6.1.13, 6.3.1, 6.3.3,
April 23 - April 29:
Read sections 6.7, 6.8.
Do exercises: 6.4.2, 6.4.4, .6.4.5, 6.4.6.
April 30 - May 1.
Prepare questions for the last class Tuesday May 1st.
Homeworks:
Please hand in homeworks before noon on the due date in MY mailbox in Altgeld Hall 250. Not the campus mailbox outside.
All exercises are in Leon's book. Thus, 2.1.4 (i) refers to Chapter 2, Section 1, Exercise 4, Subquestion (i).
Important notice:
Homework set 1, due Tuesday Jan. 23:
1.1.1 (d); 1.1.7; 1.1.8; 1.2.2 (e),(f); 1.2.5 (g),(k); 1.3.1 (e),(f).
Homework set 2, due Tuesday Jan. 29:
1.3.15; 1.3.18; 1.4.8 (d); 1.4.9; 1.4.10 (g),(h); 1.4.11; 1.4.14.
Homework set 3, due Tuesday Feb. 6:
2.1.3 (f),(h); 2.1.8; 2.1.11; 2.1.13; 2.2.2 (a); 2.2.9
Homework set 4, due Tuesday Feb. 27:
3.4.5, 3.4.9, 3.5.5, 3.5.10, 3.6.1 (c), 3.6.3, 3.6.4 (d),(e).
Homework set 5, due Tuesday March 6:
3.6.7, 4.1.2, 4.1.13, 4.2.3 (c), 4.2.5, 4.2.15.
Homework set 6, due Tuesday March 27:
5.2.1, 5.2.13, 5.2.14, 5.2.16.
Homework set 7, due Tuesday April 3:
5.3.5, 5.3.6, 5.4.3, 5.4.8.
Homework set 8, due Tuesday April 17:
6.1.6, 6.3.1 (f), 6.3.10, 6.3.15.
Homework set 9, due Tuesday April 24:
6.4.2, 6.4.5 (c),(d), 6.4.11, 6.4.15.
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