Math 165: Linear Algebra with Differential Equations
Time: MTWR 9:00-11:15
Location: Hylan 1101
Instructor: Meg Walters
Office hours: MTWR 11:30-12:30 Hylan 1103.
email: mwalter4 at z dot rochester dot edu
Syllabus: First order differential equations. Matrices and systems of linear equations. Determinants. Vector spaces. Linear transformations. Higher order differential equations. Systems of differential equations.
Prerequisites: MTH 143, MTH 162, or MTH 172.
Textbook: Stephen Goode and Scott Annin, Differential Equations and Linear Algebra (3rd Edition), Pearson Prentice Hall, 2007. This book will be also on reserve at Carlson Library.
Exam Solutions
Midterm
Written Homework Solutions
Homework 1
Homework 2
Homework 3
Homework 4
Grading
The grading scheme for the course is as follows:
Webwork: 25% Written Homework 15% Midterm 25% Final Exam 35%
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.
Webwork
Webwork will be assigned biweekly on Sunday and Wednesday, to be due the following week on Tuesday and Friday evenings by 11:59pm respectively. There are 10 Webwork assignments in total. I strongly suggest that you do not wait until the day before they are due to start working on them. Of the 10 Webwork assignments, your lowest two scores will be dropped, meaning only 8 will count toward your final grade. Once a Webwork set has closed, I will not reopen it. Out of fairness to all students, this policy will not be changed, so make sure you know when each set is due.
Written Homework
Each Monday, I will hand out a short written homework assignment in class, which will be due the following Monday by 4pm. These may be turned in on Monday during class, or to the 165 box in the mailroom on the 9th floor of the Hylan building by 4. Late assignments will not be accepted. I will drop your lowest assignment. For these assignments, all work must be shown. While you are allowed to discuss the questions with other students in the class, you must turn in your own work. If I see papers with identical solutions, you will not receive credit for the assignment and these take home assignments will become in class quizzes. If you are absent on a Monday when I hand out the assignemt, it is your responsibility to ask me for the assignment. I will not come find you to give you the assignment when you return to class.
Exams
There will be two exams in this course, a midterm given on Thursday 7/17 in class and a final given on 8/7 from 9am-12.
The midterm exam will be in class on Thursday, July 17. A practice version of the midterm can be found here. (I know that it says practice final at the top, that is a typo)
The solutions to the practice midterm can be found here.
UPDATE: The solution to problem 5 found here is incorrect. The correct solution is posted here. The final exam will be in class on Thursday, August 7 from 9-12 (note the extended time!). A practice version of the final can be found here.
The solutions to the practice final can be found here.
If you would like more practice, here are two MTH 165 exams from previous years:
Practice 2. Omit question B5. You will not be repsonsible for this. Solutions.
Practice 3. Solutions.
Course Policies
1. There will be no make-up midterm exams unless you have a valid excuse. If you miss the midterm exam with a valid excuse (e.g. illness or emergency), you must notify me and provide supporting documentation as soon as possible. If this happens, the final exam will count as your make-up. If you miss an exam without a valid excuse, you will receive a score of 0 on that exam.
2. The use of electronic devices (including calculators), books, or formula cards/sheets is prohibited during any of the exams.
3. I will not be taking attendance for the class, but if you do miss a class, it is your responsibility to get the notes from another student. If you e-mail me, I will be happy to direct you to the textbook sections that we covered.
4. If you have an academic need related to a disability, arrangements can be made to accommodate most needs. For information, please contact the Center for Excellence in Teaching and Learning. To be granted alternate testing accommodations, you (the student) must fill out forms with CETL at least seven days before each and every exam. These forms are not sent "automatically". Instructors are not responsible for requesting alternative testing accommodations at CETL, and they are not obligated to make any accommodations on their own.
5. You are responsible for knowing and abiding by the University of Rochester's academic integrity code. Any violation of academic integrity will be pursued according to the specified procedures.
6. The practice problems given in the course schedule will not be graded, but you are strongly encouraged to work through them as extra practice for the material.
Weekly Schedule
Week of | Topic(s) | Practice Problems | Webwork(s) |
6/30 | 1.1-1.4, 1.6-1.7 | 1.1: 1-11 odd, 15-23 odd; 1.2: 2, 4, 5, 8, 13, 14, 16, 18, 19, 22, 23, 27, 32, 37, 41; 1.3: 2, 3, 6, 11, 17, 19, 22, 24; 1.4: 1, 3, 6, 10, 13, 15, 18, 22, 24; 1.6: 3, 6, 7, 11, 13, 16, 19, 22, 28, 29; 1.7: 1, 5, 6, 9, 11, 13. |
Webwork 1 |
7/7 | 2.1-2.6 | 2.1: 3, 6, 8, 11, 15, 19, 20, 21, 23; 2.2: 2, 3, 5, 11, 13, 15, 17, 27, 32, 37, 39, 43; 2.3: 3, 5, 6, 8, 9, 13, 15, 16; 2.4: 1, 4, 5, 8, 9, 11, 13, 17, 21, 25; 2.5: 1, 5, 9, 11, 14, 17, 20, 23, 33, 35, 43, 45, 49, 53; 2.6: 4, 8, 9, 15, 16, 19, 21, 25. |
Webwork 2, Webwork 3 |
7/14 | 3.1-3.3, 4.1-4.3 Midterm 7/17 in class |
3.1: 9, 11, 13, 15, 17, 21; 3.2: 5, 7, 9, 13, 15, 21, 23, 37, 39; 3.3: 5-19 odd; 4.1: 1, 3, 4; 4.2: 1, 3, 5, 7, 11, 13; 4.3: 3, 5, 7, 9, 15, 19, 21. |
Webwork 4, Webwork 5 |
7/21 | 4.4-4.6, 4.8-4.9, 5.1 |
4.4: 1, 3, 5, 9, 13, 15, 17, 23, 27; 4.5: 1, 3, 7, 9, 13, 15, 21, 23, 27, 31, 33, 35, 39; 4.6: 3, 5, 11, 13, 15, 21, 23, 27, 33; 4.8: 1, 3, 5, 7, 9; 4.9: 1, 3, 7, 9, 11, 13, 17; 5.1: 1, 6, 7, 9, 13, 15, 17, 19, 23, 25, 27, 30. |
Webwork 6, Webwork 7 |
7/28 | 5.3, 5.6-5.7, 6.1-6.3 |
5.3: 1, 3, 5, 12, 14, 15; 5.6: 9-25 odd; 5.7: 1-15 odd; 6.1: 9-12, 21-27 odd, 31, 33; 6.2: 5-35 odd; 6.3: 1-11 odd, 17, 19, 21, 25, 27. |
Webwork 8, Webwork 9 |
8/4 | 7.1-7.4 Final exam 7/7 9-12 |
7.1: 2, 5, 8, 10, 13, 14, 18; 7.2: 1, 4, 5, 7, 8, 12; 7.3: 1, 3, 5; 7.4: 1,3,5,7,9. |
Webwork10 |