Math 165: Linear Algebra with Differential Equations
Time: MTWR 9:00-11:15
Location: Hylan 1106B
Instructor: Dillon Ethier
Office hours: MW 13:00-14:00 or by appointment, Hylan 910.
email: dillon dot ethier at 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.
Grading
The grading scheme for the course is as follows:
Webwork: 25% Quizzes 20% Midterm 20% Final Exam 35%
Scale: 93-100: A, 90-92: A-, 87-89: B+, 83-86: B, 80-82: B-, 77-79: C+, 73-76: C, 70-72: C-, 67-69: D+, 63-66: D, 60-62: D-, 0-59: F
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 Monday and Thursday, to be due the following week on Wednesday and Saturday mornings 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 score will be dropped, meaning only 9 will count toward your final grade.
Exams and quizzes
There will be two exams in this course, a midterm given at the end of the week of 7/12 and a final given at the end of the final week.
Each Tuesday (with the exception of the first week) at the beginning of class I will give a 15 minute quiz. The question(s) on each quiz will be fairly basic examples similar to the assigned practice problems from the previous week. For this reason, I strongly suggest that you use the practice problems to test your understanding. Your lowest quiz grade will also be dropped, meaning that only 4 will count toward your final grade.
The midterm exam will be held in class on Thursday, July 16. A practice version of the midterm can be found here. Solutions are here.
The final exam will be in class on Thursday, August 6. The material will include everything that we covered up through section 6.3. A practice version will also be posted.
Course Policies
1. There will be no make-up exam or quiz unless you have a valid excuse. If you miss an exam or quiz 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. Similarly, if you miss a quiz with a valid excuse, the next quiz will count as your make-up. If you miss an exam or quiz without a valid excuse, you will receive a score of 0 on that exam or quiz.
2. The use of electronic devices (including calculators), books, or formula cards/sheets is prohibited during any of the exams and quizzes.
3. 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.
4. 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.
Weekly Schedule
Week of | Topic(s) | Practice Problems | Webwork(s) |
6/28 | 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 |
7/5 | 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 |
7/12 | 3.1-3.3, 4.1-4.3 Midterm |
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 |
7/19 | 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 |
7/26 | 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 |
8/2 | 6.5, 7.1-7.3 Final exam |
6.5: 5, 7, 9, 23-25, 28, 29; 7.1: 2, 5, 8, 10, 13, 14, 18; 7.2: 1, 4, 5, 7, 8, 12; 7.3: 1, 3, 5. |