# MTH 215 Linear Algebra

## MTH 215 COURSE INFORMATION

Syllabus

Course and Section number: MTH 215 Section 01
Course Title: Linear Algebra
Semester and Year: Spring 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(lastname)(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, 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 (addition, subtraction, multiplication, scalar multiplication, and dot product);
6. compute the inverse of matrix;
7. compute rank and nulll 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 Notes below 40% Exams Three exams (3/5, 4/6, 4/30) 30% Final Exam Friday May 4 from 3:00pm - 6:00pm 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
If I cannot read it or follow the solution, then it is marked incorrect. 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 communicate clearly in writing up solutions for homework, projects, and exams. Your results must display your understanding well and be written in a correct, complete, coherent, and well organized fashion. The rules of language still apply in mathematics, and they apply even when symbols are used in formulas, equations, etc.
• 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, all in addition to the time spent in class.
• 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 for guidelines.
• Failure to notify your instructor within 7 calendar days of your absence will result in a 0 for the exam, 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 pads 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 text to be covered and by bringing your book, notebook and pencil. Pencils only please.
• 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.
• The policy on extra credit is that it is not given. As a matter of fairness, there will be no special assignments given to some students to improve their grade.

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 each instructor.

Standards of behavior: Students are responsible for being familiar with and adhering to the published Community Stan- dards 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, excel, or code written by someone who is not in your group. All projects must be submitted through Sakai using the Assignment tool. 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) Wed. Feb. 28 2 Project 2 (Graphs) Fri. Mar. 30 2 Project 3 (Error detect/correct) Fri. Apr. 27

Calendar and Notes

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 Section/Notes Homework Problems 1 Jan. 22 - Jan. 26 First Day Mon. Jan. 22 Section 1.1 Example 1 Example 2 (Section 1.1) 1, 2, 7, 8, 11, 13, 19-22, 25, 30, 31, 32 Due: 1/31 2 Jan. 29 - Feb. 2 Section 1.2 Example 3 Section 1.3 (Section 1.2) 1, 3, 7-12 15, 17,20, 23, 28 Due: 2/5 (Section 1.3) 1, 3, 5, 11, 13, 17, 19, 25 Due: 2/9 3 Feb. 5 - Feb. 9 Section 1.4 Section 1.5 (Section 1.4) 1, 3, 5, 9, 12, 13, 15, 17, 21, 25, 32 Due: 2/12 (Section 1.5) 3, 5, 9, 11, 13, 17, 19, 21, 29-33 Due: 2/14 4 Feb. 12 - Feb. 16 Section 1.7 Practice-Answers (Section 1.7) 3, 5, 7, 9, 13, 15, 16, 19, 26, 27, 33Due: 2/21 5 Feb. 19 - Feb. 23 No Class Feb. 19 Section 1.8 ski.txt Section 1.9 (Section 1.8) 1, 3, 7, 9, 11, 13, 17, 19, 27, 31, 32 Due: 2/28 (Section 1.9) 1, 2, 5, 7, 9, 17, 19 Due: 3/2 6 Feb. 26 - Mar. 2 Project 1 Wed. Feb. 28 Section 2.1 data0.txt abe.txt Review for Exam 1 (Section 2.1) 1, 3, 5, 7, 9, 13, 17, 23, 24, 27 Due: 3/23 7 Mar. 5 - Mar. 9 Exam 1 Mon. Mar. 5 Section 2.2 (Section 2.2) 1, 3, 5, 7, 8, 12, 13, 17, 18, 24, 31, 33 Due: 3/26 Mar. 12 - Mar. 16 Spring Break 7 Mar. 19 - Mar. 23 3/21 (Wed.) - class canceled - snow Review Section 2.2 Section 2.3 (Section 2.2) 1, 3, 5, 7, 8, 12, 13, 17, 18, 24, 31, 33 Due: 3/26 (Section 2.3) 1, 3, 7, 8, 9, 13, 15-17, 22 Due: 3/30 8 Mar. 26 - Mar. 30 Project 2 Fri. Mar. 30 Sections 3.1 & 3.2 (Section 3.1) 1, 3, 5, 9, 11, 13, 20, 21, 25, 33-36 Due: 4/2 (Section 3.2) 3, 5, 9, 11, 13, 15, 23 , 25, 31 Due: 4/2 9 Apr. 2 - Apr. 6 Exam 2 Fri. Apr. 6 Section 4.1 Review for Exam 2 (Section 4.1) 1, 3, 7, 9, 13, 17, 21, 23, 24 Due: 4/11 10 Apr. 9 - Apr. 13 Section 4.2 Section 4.3 (Section 4.2) 1, 3, 5, 7, 10, 17, 19, 23, 27 Due: 4/16 (Section 4.3) 1, 3, 5, 9, 11, 15, 19, 23, 24, 37 Due: 4/20 11 Apr. 16 - Apr. 20 Section 4.5 Section 4.6 (Section 4.5) 1, 3, 5, 7, 11, 13, 17, 21, 22 Due:4/23 (Section 4.6) 1, 3, 5, 7, 11, 25, 26, 31 Due: 4/25 12 Apr. 23 - Apr. 27 Project 3 Fri. Apr. 27 MatLab PageRank Google Eigenvector Section 5.1 Section 5.2 Review for Exam 3 (Section 5.1) 1, 3, 5, 7, 9, 13, 17, 19, 25, 26, 38 Due: 4/30 (Section 5.2) 1, 3, 7, 9, 10, 15, 18, 23 Due: 4/30 13 Apr. 30 Last Day Exam 3 Mon. April 30 14 May 4 Final Exam 3:00pm - 6:00 pm Lippitt 205