MTH 215 Linear Algebra

MTH 215 COURSE INFORMATION

Software for the course

Sakai is being used in part for this course. The Sakai site will contain your grades and any details on class activities (e.g. projects) You can access Sakai at the following web address: https://sakai.uri.edu/portal/ Use your e-campus id and your URI Webmail password.

Syllabus

Course and Section number: MTH 215 Section 01
Course Title: Linear Algebra
Semester and Year: Fall 2018
Class Day(s)/Time:: MWF, 12:00pm to 12:50pm
Class Location: Lippitt Hall 205
Instructor: James Baglama
Office Location: Lippitt Hall 200
Office Hours: MW 11:00am to 11:50am
Contact Information Phone:401.874.2709 and Email:j(mylastname)(AT)uri.edu

Course Description: LEC: (3 crs.) Detailed study of finite dimensional vector spaces, linear transformations, matrices, determinants and systems of linear equations.

Prerequisite(s): C- or better in MTH 131, 141, 180, or equivalent.

General Education Area(s) and Outcome(s): None

Credit Hours: 3

Required Textbook(s): Linear Algebra and its Applications 5th edition by Lay et al, Pearson; ISBN-13: 978-0-321-98238-4

Other Required Material(s): You may use a calculator for homework and exams to do routine calculations. You will need to use Octave or Matlab for the project(s). Octave online: http://octave-online.net/

Course Goals: Linear algebra is a branch of mathematics that studies systems of linear equations, vector spaces, linear transformations, and the properties of matrices. Students will be able to apply the concepts and methods of linear algebra that play an essential role in mathematics and in many technical areas of modern society, such as computer science, data science, engineering, physics, environmental science, economics, statistics, business management, and social sciences.

Learning Outcomes: At the end of the course the student should be able to:

1. solve a linear system of equations by using row operations;
2. represent linear systems in different formats;
3. compute basis vectors and detemine linear independence of vectors;
4. write general solutions to linear systems;
5. perform matrix and vector operations (e.g. addition, subtraction, multiplication, and scalar multiplication);
6. compute the inverse of matrix;
7. compute rank and null space of a matrix;
8. work with linear transformations;
9. work within vector spaces and subpsaces;
10. compute determinants;
11. compute eigenvalues and eigenvectors;
12. use technology to analyze methods and perform calculations;
13. communicate effectively in written form mathematical ideas and conclusions, by stating in a complete, clear, concise, and organized manner steps, calculations, solution strategy, conclusions, and when appropriate, interpreting results in practical or applied terms.

 15% Projects See Projects below 15% Homework See Calendar and Slides below 40% Exams Three exams (10/5,11/2,12/10) 30% Final Exam Friday December 14 from 11:30am - 2:30pm in Lippitt 205

 92 - 100 A 72 - 76 C 90 - 91 A- 70 - 71 C- 87 - 89 B+ 67 - 69 D+ 82 - 86 B 60 - 66 D 80 - 81 B- 0.00 - 59 F 77 - 79 C+

Instructor Policies for the Course:

• Assignments
Homework will be assigned for section of the textbook we cover. A list of homework problems is posted on this website. Do NOT email your homework to me! Homework must have
• chapter and section number
• list of problems assigned
• complete solution (answers only will be given no credit)
• multiple pages stapled or corners folded with pages numbered and your name on each page.
If I cannot read it or follow the solution, then it is marked incorrect. Pencils only please. I will not accept ANY late or incomplete homework assignments.
• Attendance
Attendance is a vital and necessary part of this course. While there is no formal attendance policy, we cover a lot of information at a rapid pace; missing a class will result in a large amount of material missed. Students are responsible for all missed work, regardless of the reason for absence. It is also the absentee's responsibility to get all missing notes or materials.
• Expectations
• You are expected to attend every lecture, and to submit your work on time. Late homework is not accepted.
• It is your responsibility to clearly communicate your solutions for homework, projects, and exams. Your results (answers) must display a strong understanding of the material and be written in a correct, complete, coherent, and well-organized fashion.
• The rapid pace of the class requires that you spend time every day doing homework, reviewing notes, reading the textbook, and working out extra problems.
• Makeup Policy
Makeup exams may be scheduled in the event you are unable to attend exams under the following conditions. See University Manual sections 8.51.10 to 8.51.14 for guidelines.
• If your reason for missing the exam as scheduled is (i) a University sanctioned event for which verifiable documentation can be provided, (ii) a responsibility to an employer that cannot be rescheduled (with documentation from your employer), or (iii) Religious holidays, then you must inform your instructor 48 hours in advance of the exam and provide documentation if requested. Makeup exams will be scheduled after the actual exam, and preferably before the class period when exams are to be handed back, but no later than one week after the original date.
• If the reason for missing the exam as scheduled is due to (i) illness (with verifiable documentation from a medical provider if requested), or (ii) an emergency (with appropriate documentation if requested), then you must contact your instructor within 24 hours of the exam. Makeup exams may be scheduled no later than a week after the original date, unless the illness or emergency precludes this, in which case we will follow the University Manual sections 8.51.10 to 8.51.14.
• Failure to notify your instructor within 7 calendar days of your absence will result in a 0 for the exam, see section 8.51.14 Univeristy Manual.
Students that miss course work (not exams) under the same the conditions mentioned above will be given an opportunity to make up the course work.
• Electronic Devices
Cell phones, ipads, ipods, etc. should be turned off during class. Excepted from this are electronic devices used for notetaking.
• Other Policies
• All class materials (e.g. notes, projects, exams, lectures, etc.) are property of URI and the instructor. Copying, video taping, taking pictures, or posting this material is not allowed without consent of the instructor and URI.
• Please come to class prepared by reading over the section of text that will be covered and by bringing your book, notebook and pencil.
• You are here to learn, so please give class your full attention, ask questions if you do not understand and be respectful and courteous to your fellow students and professor.

Academic Honesty Policy: Cheating is defined in the University Manual section 8.27.10 as the claiming of credit for work not done independently without giving credit for aid received, or any unauthorized communication during examinations. Students are expected to be honest in all academic work. The resolution of any charge of cheating or plagiarism will follow the guideline set forth in the University Manual 8.27.10-8.27.21, http://web.uri.edu/manual/chapter-8/chapter-8-2/.

Special Needs: Any student with a documented disability should contact your instructor early in the semester so that he or she may work out reasonable accommodations with you to support your success in this course. Students should also contact Disability Services for Students: Office of Student Life, 302 Memorial Union, 401-874-2098. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.

Incomplete Grade: University of Rhode Island regulations concerning incomplete grades will be followed. See University Manual sections 8.53.20 and 8.53.21 for details.

Religious holidays: It is the policy of the University of Rhode Island to accord students, on an individual basis, the opportunity to observe their traditional religious holidays. Students desiring to observe a holiday of special importance must provide written notification to your instructor.

Standards of behavior: Students are responsible for being familiar with and adhering to the published Community Standards of Behavior: University Policies and Regulations" which can be accessed in the University Student Handbook ( http://web.uri.edu/studentconduct/university-student-handbook/). If you must come in late, please do not disrupt the class. Please turn off all cell phones or any electronic devices.

Projects The goals of a project are to use the concepts from linear algebra to solve real life applications. You can work in groups, no more than 4 students per group. You must use a computer software system to solve these applications. Octave is very easy to use and is free. You can also use Matlab. You can NOT use a graphing calculator or code written by someone who is not in your group. All projects must be submitted through Sakai using the Assignment tool and ALL members of the group must upload the project. Do NOT email the projects to me! Projects must have a list of all the names of students in your group. I will not accept ANY late or incomplete projects.
 Project Due Date 1 Project 1 (GPS Linear Systems) 11:55pm Fri. Sept. 28 2 Project 2 (Graphs) 11:55pm Fri. Oct. 26 2 Project 3 (Error detect/correct) 11:55pm Fri. Nov. 30

Calendar and Slides

The following calendar gives a timetable for the course. We might be slightly behind or ahead at any given time. Check here often, as the Calendar will be updated according to the pace of the class. Note: In the problem lists, a notation like 3-9 means that all the problems 3,4,5,6,7,8,9 are assigned.
 Week Events Resources/Practice Section/Notes Homework Problems Due Date 1 Sept. 3 - Sept. 7 First Day Wed. Sept. 5 2x2 Linear system graph Example 1 Example 2 Example 2-Ans Example 2a Traffic Flow Section 1.1 (Section 1.1) 1, 2, 7, 8, 11, 13, 19-22, 25, 30, 31, 32 (1.1) Sept. 12 2 Sept. 10 - Sept. 14 Example 3 Example 4 Adding vectors Linear combinations(1) Linear combinations(2) Section 1.2 Section 1.3 (Section 1.2) 1, 3, 7-12 15, 17,20, 23, 28 (Section 1.3) 1, 3, 5, 11, 13, 17, 19, 25 (1.2) Sept. 17 (1.3) Sept. 24 3 Sept. 17 - Sept. 21 Project 1Discussion Practice Practice in Span Plan in R3 Section 1.4 Section 1.5 (Section 1.4) 1, 3, 5, 9, 12, 13, 15, 17, 21, 25, 32 (Section 1.5) 3, 5, 9, 11, 13, 17, 19, 21, 29-33 (1.4) Sept. 24 (1.5) Sept. 28 4 Sept. 24 - Sept. 28 Project 1 Fri. Sept. 28 Linear Independent? Graph Transformation ski.txt Section 1.7 Section 1.8 (Section 1.7) 3, 5, 7, 9, 13, 15, 16, 19, 26, 27, 33 (Section 1.8) 1, 3, 7, 9, 11, 13, 17, 19, 27, 31, 32 (1.7) Oct. 1 (1.8) Oct. 5 5 Oct. 1 - Oct. 5 Exam 1 (Chapter 1) Fri. Oct. 5 Office hours 12pm-2pm Thurs. 10/4 Practice Practice-Ans Matrix Transformation Section 1.9 (Section 1.9) 1, 2, 5, 7, 9, 17, 19 (1.9) Oct. 12 6 Oct. 8 - Oct. 12 No Class Mon. Oct. 8 Abe.txt Project 2 Discussion Graph Erdős Number Matrix Prod (row) Section 2.1 (Section 2.1) 1, 3, 5, 7, 9, 13, 17, 23, 24, 27 (2.1) Oct. 22 7 Oct. 15 - Oct. 19 Compute Matrix Inverse Practice Inverse Section 2.2 Section 2.3 (Section 2.2) 1, 3, 5, 7, 8, 12, 13, 17, 18, 24, 31, 33 (Section 2.3) 1, 3, 7, 8, 9, 13, 15-17, 22 (2.2) Oct. 29 (2.3) Oct. 29 8 Oct. 22 - Oct. 26 Project 2 Fri. Oct. 26 Flop cofactor Practice Det Sections 3.1 & 3.2 (Section 3.1) 1, 3, 5, 9, 11, 13, 20, 21, 25, 33-36 (Section 3.2) 3, 5, 9, 11, 13, 15, 23 , 25, 31 (3.1) Nov. 2(3.2) Nov. 2 9 Oct. 29 - Nov. 2 Exam 2 (Chapters 2 and 3) Fri. Nov. 2 Practice Exam 2 Practice Exam 2 Ans. Section 5.1 (Section 5.1) 1, 3, 5, 7, 9, 13, 17, 19, 25, 26, 38 (5.1) Nov. 9 10 Nov. 5 - Nov. 9 Compute Eigenvalues MatLab PageRank Google Eigenvector PageRank - Google actor.txt matrix-actor.txt Practice Eig Section 5.2 Section 5.3 (Section 5.2) 1, 3, 7, 9, 10, 15, 18, 23 (Section 5.3) 1, 3, 9, 13, 18, 27, 31 (5.2) Nov. 13 (5.3) Nov. 16 11 Nov. 12 - Nov. 16 No Class Mon. Nov. 12Mon. class meets Tues. Nov. 13 Example 4 Project 3 Discussion Section 4.1 Section 4.2 (Section 4.1) 1, 3, 7, 9, 13, 17, 21, 23, 24 (Section 4.2) 1, 3, 5, 7, 10, 17, 19, 23, 27 12 Nov. 19 - Nov. 23 Thanksgiving Break No Class Wed. Nov. 21 No Class Fri. Nov. 23 Section 4.3 (Section 4.3) 1, 3, 5, 9, 11, 15, 19, 23, 24, 37 ↓ UPDATED SCHEDULE ↓ 13 Nov. 26 - Nov. 30 Project 3 Fri. Nov. 30 Section 4.1 Section 4.2 Section 4.3 (Section 4.1) 1, 3, 7, 9, 13, 17, 21, 23, 24 (Section 4.2) 1, 3, 5, 7, 10, 17, 19, 23, 27 (Section 4.3) 1, 3, 5, 9, 11, 15, 19, 23, 24, 37 (4.1) Nov. 28(4.2) Nov. 30 (4.3) Dec. 5 14 Dec. 3 - Dec. 7 Last Day Mon. Dec. 10 Exam 3 (Chapters 4 and 5) Mon. Dec. 10 Practice Exam 3 Answer - page 1 Answer - page 2 Answer - page 3 Section 4.5 Section 4.6 (Section 4.5) 1, 3, 5, 7, 11, 13, 17, 21, 22 (Section 4.6) 1, 3, 5, 7, 11, 25, 26, 31 (4.5) Dec. 10(4.6) Dec. 10 15 Dec. 14 Final Exam (Chapters 1, 2, 3, 4, 5, and 6) 11:30 am - 2:30 pm Lippitt 205