Instructor: Dan-Andrei Geba
Course Number: 60901
Lectures: MWF 12:00-12:50pm, 115 Harkness Hall
Office hours: MWF 11:00-11:40am, 806 Hylan Building
E-mail: dangeba@math.rochester.edu
Syllabus: Vector spaces. Linear transformations and matrices. System of linear equations.
Determinants. Diagonalization. Inner product spaces.
Prerequisites: MTH 165
Textbook:
Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence,
Linear Algebra (4th Edition), Prentice Hall, 2002.
Apart from being a course in linear algebra, this is one of the first courses where you will be asked to write an argument in order to solve a problem. Some of you may have experience with this, but we will make sure everyone is comfortable with it by the end of this course. It is not as easy as it sounds.
We will also work on developing your independent reading skills in Mathematics. I certainly won't be able to cover in class all the material you will be required to learn. As a result, you will be expected to do a lot of reading. The reading assignments will be on topics to be discussed in the following lecture. This is will enable you to ask focused questions in the class and to better understand the material.
There will be NO MAKE-UP EXAMS. If you miss the Midterm, your Final will count as 70% of your grade. If you miss the Final, you are in trouble.
The final grade will not be based on a curve or on previously fixed marks for certain grades. It will reflect how well the class is doing, and will be high if everyone is working hard at the homework and doing well on the exams. Almost all the questions in the midterm or final will be in the same spirit with the homework questions. Therefore understanding how to do all the homework questions will enable you to do well on the exams.
Incomplete "I" grades are almost never given. The only justification is a documented serious medical problem or genuine personal/family emergency. Falling behind in this course or problems with workload on other courses are not acceptable reasons.
There will be 2 workshops in which you will be able to work in groups on the problems from the homework. The TA, Diane Panagiotopoulos, will be present at all times to coordinate them and answer questions whenever you get stuck. I will drop from time to time to see how is everybody doing. Food will be provided.
It is mandatory to register and attend one workshop per week. Attendance will be taken and, as a reward for perfect attendance, whenever you are in between grades at an exam, you will be given the higher grade.
| Time |
Location |
TA |
| Tuesday, 5:00-6:30PM | Hylan 1101 | Diane Panagiotopoulos |
| Thursday, 5:00-6:30PM | Hylan 1101 | Diane Panagiotopoulos |
Nothing but the blue books on which you write the solutions will be allowed in the exams.
The MIDTERM EXAM is on 10/23, in class. There will be a review session on 10/20.
The FINAL EXAM is on 12/17, in our classroom, 115 Harkness, at 7:15pm, with review sessions scheduled for 12/11 and 12/13. It will be mostly on the material covered after the midterm, though there will be some problems on earlier material.
Homework is due by the end of the Friday lecture, one week after it was assigned, with the exception of the one assigned on 11/17, due on 12/1. There will be 12 assignments, from which the best 10 will be counted toward your final grade. Therefore, late homework is not accepted.
There will be about 10 problems per homework from which 4, arbitrarily chosen, will be graded. Each of these problems is worth 2 points and, for a maximum grade of 10 per homework, 2 points will be awarded for substantial efforts on each of the problems from the set.
Example: If you do not solve correctly any of the 4 chosen problems, but you still give it a good try on all 10, your grade is a 2. If you do not solve correctly any of the 4 chosen problems and you skip 1 problem from the set (i.e. you do not write anything meaningful on it), your grade is a 0.
Homework 1 due 9/15: pg.6 ex. 1ab, 2bd, 3bd, 6; pg.14-15 ex. 7, 12, 18; pg.20-23 ex. 4, 5, 25, 28.
Reading assignment for Monday 9/11: section 1.3.
Reading assignment for Wednesday 9/13: section 1.4.
Homework 2 due 9/22: pg.33-35 ex. 2df, 3bd, 4bd, 12, 14, 15; pg. 41-42 ex. 9, 10, 14, 17, 20.
Homework 3 due 9/29: pg.54-58 ex. 4, 13, 14, 15, 20, 26, 30, 31, 32, 34a.
Homework 4 due 10/6: pg.74-77 ex. 3, 4, 6, 10, 11, 15, 18, 19, 26, 28.
Homework 5 due 10/13: pg.84-86 ex. 2b, 5, 9, 10, 13, 14, 16; pg.96-97 ex. 3, 11, 12, 13.
Homework 6 due 10/20: pg.98 ex. 15, 16; pg. 106-108 ex. 4, 5, 6, 7, 9, 10, 14, 15, 16, 17.
Homework 7 due 10/27: pg.116-118 ex. 3bdf, 5, 7, 9, 10, 13.
Homework 8 due 11/03: pg.151-152 ex. 2, 5, 9, 12; pg.166-167 ex. 3, 5bdfh, 7, 8.
Homework 9 due 11/10: pg. 167-168 ex. 11, 12, 14, 15, 17-22.
Homework 10 due 11/17: pg. 180-181 ex. 2bdf, 3bdf, 5, 6, 7bd, 8; pg. 196-198 ex. 6, 9, 10, 12. Reading assignment: Section 4.4.
Homework 11 due 12/1: pg. 228-229 ex. 9-12, 20, 21.
Homework 12 due 12/6: pg. 257-260 ex. 3bd, 8ab, 9-11, 17, 18; pg. 280-281 ex. 3bdf, 7, 11.
Homework 13 due 12/13: pg. 336-338 ex. 3, 11, 16b, 17, 20a; pg. 354-356 ex. 4, 9, 14, 19b.