MATH220 - Linear Algebra
Course Code: MATH220 Course ID: 4538 Credit Hours: 3 Level: Undergraduate
This course presents vectors, matrices, determinants, eigenvalues, and eigenvectors; and how these concepts may be used and applied. The emphasis of the course will be on understanding the concepts and methods of linear algebra, as well as solving problems and understanding how linear algebra is used in real world applications. (Prerequisite: MATH225)
|Registration Dates||Course Dates||Session||Weeks|
|05/21/21 - 10/29/21||11/01/21 - 12/26/21||Fall 2021 Session I||8 Week session|
|06/28/21 - 12/03/21||12/06/21 - 01/30/22||Fall 2021 Session D||8 Week session|
|07/27/21 - 12/31/21||01/03/22 - 02/27/22||Winter 2022 Session B||8 Week session|
|08/31/21 - 02/04/22||02/07/22 - 04/03/22||Winter 2022 Session I||8 Week session|
|09/28/21 - 03/04/22||03/07/22 - 05/01/22||Winter 2022 Session D||8 Week session|
|10/26/21 - 04/01/22||04/04/22 - 05/29/22||Spring 2022 Session B||8 Week session|
After successfully completing this course, you will be able to
CO-1. Apply basic operations of vectors, matrices, and determinants.
CO-2. Calculate inner and outer products
CO-3. Apply inner products to evaluating orthogonality.
CO-4. Evaluate systems of linear equations.
CO-5. Apply eigenvalues, eigenvectors and determinants to real world problems.
CO-6. Apply vector spaces to linear transformations.
CO-7. Apply linear algebra techniques to various real world situations.
Your course grade will be determined as follows:
There will be an Introductory Forum worth 2.5% of the final grade and 7 other Forums, one in each of Weeks 2, 3, 4, 5, 6, 7 and 8, worth 2.5% each for a total altogether of 20% of the final grade.
Your weekly discussion forum posts must meet the minimum requirement for the number of posts and the content for that assignment:
An initial response post and at least two student replies are required for each weekly forum. Posts should be made as indicated in the forum instructions. Typically, this will consist of an “initial post” in response to the question posed in the forum description, and at least two responses to what other students (or the instructor) say in the forum. Be sure to click on the link “Read Full Description” that appears below each forum name, since sometimes the requirements for a particular forum will be different. (Note that the grading and description for a particular forum override this general introduction, so be sure to read it carefully for each individual forum.) Typically, a discussion forum is graded using a 10 point scale and you will receive 6 points for your response to the forum question or assignment, and 2 points for each student response.
To receive full credit, a post must be substantive in content. This means initial posts which contain at least 250 words and respond in a focused and substantial manner to the question assigned. Single sentence responses such as “Now I understand” or “Thank you for your help” do not constitute significant posts. For student responses, replies of at least 100 words or more are generally required.
Grading for each forum will follow the point structure outlined in the description for each forum.
Introductory Forum: It is very important that you submit a post to, and participate in, the Introductory Forum. Please introduce yourself to me and the class. Share where you work or plan to work after completing your program, your family, and any hobbies or special interests. Also tell us why you are taking this course and what you hope to gain from obtaining your degree. In addition, please take a look at the course objectives in the syllabus and discuss the relevance to your career goals.
Instructions: Your initial post should be at least 250 words. Please respond to at least 2 other students. Responses should be a minimum of 100 words. This forum submission serves as your official entry into the course and that is why we have drawn special attention to this assignment. You will be reminded of this Forum again in the Week 1 Lesson Module, but please keep in mind that this Introduction Forum must be submitted by 11:55 p.m., ET, on Sunday of Week 1 to maintain your registration in the course.
Also be sure to complete the Honor Code and Pledge in the Assignments area no later than Sunday night, the end of week 1.
There will be seven (7) homework assignments in Weeks 1-7 assigned from the course textbook. Each is worth 2% of your final grade, for a total of 14%. The assigned homework is located in MyMathLab, so be sure to go to MyMathLab each week to complete it.
Note that the homework in MyMathLab each week is a graded assignment and is required before you will be allowed to take that week’s test.
In addition, there are problems located at the end of each chapter in the textbook, which I very strongly urge you to do in addition, in order to further test your understanding. This is especially critical in a subject like Linear Algebra, where many of the concepts will be strange and unfamiliar. The MyMathLab homework, by its very nature, is cookie-cutter and “one size fits all”.
So you are sure to find that in one topic area or another, you need additional practice. The textbook problems located at the end of each chapter in the textbook are the best way to obtain that additional practice. The answers – not the solutions, but the answers -- are located in the back of the book, so that you can test your understanding and make sure that you master thoroughly all the topics covered in each chapter, before you go on to the test.
Again a reminder – you will not be allowed to take that week’s test until you have completed the homework assigned for that week in MyMathLab.
Weekly Practice Tests
Each week you will see a Weekly Practice Test (Week 1 Practice Test, etc.). These are assignments you must complete before taking the “real” test that week for the first time. Even though they have no points assigned and do not count for your final grade, they will give you valuable practice at taking the “real” weekly test. Note that you must take and complete the practice test (as well as the homework) before you will be allowed to take the “real” weekly test.
Besides being ungraded, one other difference you will note is that the practice test is not timed. My advice, however, is to attempt it under “test conditions” and give yourself only the same amount of time that you are permitted on the real tests (3.5 hours).
There will be 7 weekly Tests, for weeks 1-7, worth 6% each for a total of 42% of the final grade. Tests are located in MyMathLab, so be sure to go to MyMathLab to complete the test each week. Remember to complete that week’s homework, as well as that week’s practice test; both are located in MyMathLab. Both must be completed before you will be allowed to take the test for that week.
Please complete each test by the due date noted in the syllabus and in the classroom. These are 3.5 hour, open-book and open-note tests, but they are not collaborative efforts.
These are dual-access tests. You may access each test twice, and the higher score will automatically be recorded in the MML gradebook. Once you have accessed the test twice however, it cannot be made up. Also once you enter the test for any reason, whether or not you complete it, an “attempt” is recorded and reduces the number of tries you have left by one. So once you open the test, you will be expected to complete it – there is no option to “Save for later”.
Also remember that no help or assistance from anyone else is allowed on any weekly test. Tests are due Sunday night at 11:55pm ET of the week they are assigned to.
There will be a Final Exam in week 8, worth 20% of the Final Grade, and it is located in MyMathLab (MML).
Note that it is required that you take the Practice Final in MML before attempting the actual Final Exam. Even though the Practice Final is not worth any points towards your final grade, it will give you very valuable practice in taking the final exam, and let you know if you are prepared to do so. Besides being ungraded, one other difference you will note is that the Practice Final is not timed. My advice, however, is to attempt it under “test conditions” and give yourself only the same amount of time that you are permitted on the real tests (4.0 hours).
The final exam is four hours long. It is to be completed during the last week of the term and will be open-book and open-notes. Note you may not receive help from anyone. The final exam will consist of all material covered during the entire term. You will not need a proctor to take the final exam.
Unlike the weekly tests, the final exam is single-access, that is you may only access the final exam once. As with the weekly tests, once you enter the final exam for any reason, whether or not you complete it, an “attempt” is recorded – so be sure that you do not open the exam until you are ready to take and complete it in one sitting.
The final exam is due Sunday night at 11:55pm ET of week 8 (that is, the last day of the course).
There is one writing assignment worth 4% of your final grade, and it is due at the end of week 8. A detailed description of this assignment may be found posted in the week 1 announcement on the writing project, and also in the Lessons area of the classroom under Course Guidance, along with the grading rubric that will be used to evaluate it.
The Writing Project should be submitted to the Assignments area in the Sakai classroom in APA format and include a complete list of references.
Students are expected to submit classroom assignments by the posted due date and to complete the course according to the published class schedule. The due date for each assignment is listed under each Assignment. A schedule of all assignments (homework, tests and exams, readings, discussion, and any other assignments), and the weeks they are due, is included in the syllabus below. All assignments are due Sunday night of the week noted. You should also check the announcements, as they may contain reminders of what assignments are due each week. However, be sure to not rely on the announcements to remind you; in all cases the syllabus (and the homework schedule at the end of it) function as the class contract.
Students are expected to submit classroom assignments by the posted due date and to complete the course according to the published class schedule. For late assignments, students need to contact the faculty member ahead of time about their individual situation.
While tests and exams, and homework, may be submitted late (subject to possible late penalties) up to the last day of class, all discussion postings and all discussion forum assignments are due the week that the discussion forum is active. No late discussion postings, or assignment postings to a discussion forum, are permitted. Be sure to plan your work and week accordingly. If you will be out of internet contact entirely for the whole week and it is due to circumstances beyond your control, be sure to contact the faculty member ahead of time about your individual situation. Work submitted late without prior faculty member approval will not count for credit.
All assignments, tests, and exams must be submitted by the last day of class unless you have an approved, school-issued course extension.
|Weekly Tests||42.00 %|
|Week 1 Test||6.00 %|
|Week 2 Test||6.00 %|
|Week 3 Test||6.00 %|
|Week 4 Test||6.00 %|
|Week 5 Test||6.00 %|
|Week 6 Test||6.00 %|
|Week 7 Test||6.00 %|
|Final Exam||20.00 %|
|Final Exam||20.00 %|
|Week 1 Forum||2.50 %|
|Week 2 Forum||2.50 %|
|Week 3 Forum||2.50 %|
|Week 4 Forum||2.50 %|
|Week 5 Forum||2.50 %|
|Week 6 Forum||2.50 %|
|Week 7 Forum||2.50 %|
|Week 8 Forum||2.50 %|
|Honor Code||0.00 %|
|APUS Honor Code and Pledge||0.00 %|
|Weekly Homework||14.00 %|
|Week 1 Homework||2.00 %|
|Week 2 Homework||2.00 %|
|Week 3 Homework||2.00 %|
|Week 4 Homework||2.00 %|
|Week 5 Homework||2.00 %|
|Week 6 Homework||2.00 %|
|Week 7 Homework||2.00 %|
|Week 8 Writing Project||4.00 %|
Required Readings and Additional Resources
All students will be provided access to an e-Book available through the VitalSource e-reading platform. Please remember that you must validate your cart to get access
to your VitalSource e-book(s). If you need to, instructions for doing this are available here - http://apus.libguides.com/bookstore/undergraduate
MyMathLab is an online system that provides you with powerful learning tools and is provided to you by the University. The lectures and practice exercises are tied to your course textbook to provide you with material that will assist your learning and comprehension of the concepts.
Students will also benefit from having a calculator (either a physical calculator or an online calculator) to successfully complete this course. The calculator should include a memory, a square root function and a power function xn (generally these are labeled “scientific calculators”). Students may make use of calculators for all graded assignments and exams during the course.
In addition to the required course texts, the following public domain web sites are useful. Please abide by the university’s academic honesty policy when using Internet sources as well. Note web site addresses are subject to change.
Web Site URL/Address
http://www.apus.edu/media/mathWV/index.htm Note: Choose the “Contemporary Math” option.
The Khan Academy
Note: Type “Linear Algebra” into the search box in the upper right hand corner of the screen, to see a lengthy list of videos on linear algebra that are available.
“A First Course in Linear Algebra”
This is a free textbook, available online. You can download it as a PDF file for offline reading, or read it online, where it has fully worked out (and highly detailed) examples that “open up”
when you click on the link. Some of the examples also invite you to work out your own solution, and then give online feedback. On the downside, the topics are somewhat limited; but it is a very interesting supplement to check out.
Video Tutorials by APUS
Note: Selected topics on matrices, and solving systems of linear equations, may be useful.
|Book Title:||Linear Algebra with Applications: An Open Textbook - link provided inside the classroom|
|Publication Info:||Lyryx Learning|
|Author:||W. Keith Nicholson|
Not current for future courses.