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

MTH 215 Linear Algebra

Summer 2021 - Course Webpage
James Baglama
Office: Lippitt Hall 200
Department of Mathematics

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

MTH 215 COURSE INFORMATION



CLICK HERE - CALENDAR/SCHEDULE - CLICK HERE



CLICK HERE - BRIGHTSPACE SITE LOGIN - CLICK HERE



CLICK HERE - WEBWORK - CLICK HERE



 

Software for the course
  • Geogebra Tools to help visualize concepts

    Example using Row ops in Matlab/Octave

    A = [1 2 3; 0 1 0; 1 1 1]

    and Matlab/Octave responds with

    A =

    1 2 3

    0 1 0

    1 1 1

    You enter row by row, separating rows with semicolons. Between row elements, you can use spaces or commas.

    Matlab/Octave elementary row operations.

    Ex. R1 <---> R3

    A([1 3],:) = A([3 1],:)

    Ex. 2*R3 ---> R3

    A(3,:) = 2*A(3,:)

    Ex. 5*R2 + R1 ---> R1

    A(1,:) = A(1,:) + 5*A(2,:)


  •  

    Applications


     

    Syllabus

    Course and Section number: MTH 215 Section 1000
    Course Title: Linear Algebra
    Semester and Year: Summer 2021
    Class Day(s)/Time:: Online asynchronous
    Class Location: Online asynchronous
    Instructor: James Baglama
    Office Location: Lippitt Hall 200
    Office Hours: appointment only - send email to schedule a Zoom meeting
    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 will 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.

    Grade Distribution:
    10% Project
    15% Worksheets
    15% WeBWorK Homework  
    30% Exams
    30% Final Exam
     
                Letter Grade Distribution:
    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 - 59 F
    77 - 79 C+

    Instructor Policies for the Course:

  • Attendance (online)
    Attendance online in the course is a vital and necessary part of this course. Absence from the online course as seen by not submitting course material and/or not present in the Brightspace course shell (using Brightspace login statistic tool) can result in being removed from the course. Removal from the course will follow the University Manual policy 8.33.13. A lot of information is covered at a rapid pace; students are responsible for keeping up with material and submitting work on time.
     
  • Expectations
    • You are expected to watch all of the lecture videos, use the lecture slides to take notes, and do all of the weekly assignments, worksheets and WeBworK problems. Late worksheet and WeBworK will not be accepted.
    • It is your responsibility to clearly communicate your solutions on worksheets, WeBwork, 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.
      • Answers that do not clearly display an understanding of material may require additional explanation. This is independent on whether the final answer is correct. You need to show you understand the material, not simply get the answer correct.
      • All multiple choice exam problems are subject to random verfication that you can explain how you got the final answer. Correct answer does not always indicate understanding.
    • 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 exam may be scheduled in the event you are unable to take an exam under the following conditions. See University Manual sections 8.51.10 to 8.51.14 for guidelines.
    • If the 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 or scheduled job interview that cannot be rescheduled, 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 (via email or phone) within 24 hours of the exam. If the illness or emergency prevents contact within 24 hours (with appropriate documentation if requested), then contact is require as soon as possible. Prolonged absence (e.g. missing 2 or more classes - week of classes) will require documentation for make-up work. 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.
    • Missing an exam for reasons not listed above and 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 (e.g. illness) will be given an opportunity to make up the course work. Due dates will be discussed and determined on an individual basis.
    • All course work except the final examination must be completed by the final class meeting. See University Manual section 8.51.17.
  • Intellectual Property
    All course materials students receive or to which students have online access are protected by copyright laws. Students may use course materials and make copies for their own use as needed, but unauthorized distribution and/or uploading of materials without the instructor's express permission is strictly prohibited. For example, uploading homework or other assignments to any study site constitutes a violation of this policy. Students who engage in the unauthorized distribution of copyrighted materials may be held in violation of the University Manual 8.27.22. and/or liable under Federal and State laws. University Manual 8.27.22. Course content and outlines, exams, and assignments created by instructors shall be considered the instructors' intellectual property. Course materials shall not be distributed, shared in any public domain or third party website, or sold without prior written consent of the instructor.
     
  • 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. All submitted work must be your own. Suspicious scores and/or answers will require additional explanation and verification of independent work. Students are expected to be honest in all academic work. A student's name on any written work, quiz or exam shall be regarded as assurance that the work is the result of the student's own independent thought and study. Work should be stated in the student's own words, properly attributed to its source. Students have an obligation to know how to quote, paraphrase, summarize, cite and reference the work of others with integrity. The following are examples of academic dishonesty.
    • Using material, directly or paraphrasing, from published sources (print or electronic) without appropriate citation
    • Claiming disproportionate credit for work not done independently
    • Unauthorized possession or access to exams
    • Unauthorized communication during exams
    • Unauthorized use of another's work or preparing work for another student
    • Taking an exam for another student
    • Altering or attempting to alter grades
    • The use of notes or electronic devices to gain an unauthorized advantage during exams
    • Fabricating or falsifying facts, data or references
    • Facilitating or aiding another's academic dishonesty
    • Submitting the same paper for more than one course without prior approval from the instructors
  • Accommodations for Special Needs: Students with Disabilities: Your access in this course is important. Please send me your Disability Services for Students (DSS) accommodation letter early in the semester so that we have adequate time to discuss and arrange your approved academic accommodations. If you have not yet established services through DSS, please contact them to engage in a confidential conversation about the process for requesting reasonable accommodations in the classroom. DSS is located in room 302 of the Memorial Union, 401-874-2098, https://web.uri.edu/disability/, dss@etal.uri.edu.
     
  • 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/
  • Anti-Bias: We respect the rights and dignity of each individual and group. We reject prejudice and intolerance, and we work to understand differences. We believe that equity and inclusion are critical components for campus community members to thrive. If you are a target or a witness of a bias incident, you are encouraged to submit a report to the URI Bias Response Team at www.uri.edu/brt. There you will also find people and resources to help.

  •  

    Project 10% of the total grade. The goals of the 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. The project must be submitted through Brightspace using the Assignment tool and ALL members of the group must upload the project. Do NOT email the project to me! The project must have a list of all the names of students in your group. I will not accept ANY late or incomplete project.
    ProjectDue Date
    Project (Graphs)
    11:55pm Fri. 6/18


     

    Worksheets 15% of the total grade. The goals of are to help learn and practice the concepts covered in a section of the textbook. There is a worksheet for every section of the textbook we cover. The calendar lists the due dates for all worksheets. All worksheets are due by 11:55pm on the due date. The worksheets will have one or two problems based on the lecture videos and notes that are provided with the course. All worksheets can be downloaded from the Assignment tool in Brightspace and MUST be be submitted through Brightspace using the Assignment tool. Do NOT email the worksheets to me! I will not accept ANY late or incomplete worksheets.


     

    WeBWork

    Textbook Problems (NOT GRADED - PRACTICE ONLY)
    The textbook practice problems will not be collected/graded for course. The problems are listed for you to practice, ask questions in the Brightspace Discussion and help prepare you for the GRADED WeBWork online homework sets and course exams.

    WebWork Homework (GRADED)
    15% of the total grade. Online homework will be administered using the free system WeBWorK.


    CLICK HERE - WEBWORK - CLICK HERE


    Your username is your URI 9-digit student ID number and your default password is the first eight letters of your last name in all lowercase letters. Ignore spaces and characters other than letters. Use your entire last name if it contains eight or less letters.

    Some examples:
    Tim Smith, Jr., password: smithjr
    Bob Jones-Smith, password: jonessmi
    John O'Sullivan, password: osulliva

    Please change your password as soon as you log in.

    WeBWork assignments will start on Monday May 24.

    Due dates are posted in the calendar. All assignments are due by 11:55pm on the posted due date. There is no late or partial credit for WeBworK. Each problem will allow 2 attempts. All problems are equally weighted (1 point).

    Grading: Answering 70% or more correctly will give you 100% for the WeBwork assginment (full 15%). Below 70% will be your total number of correct problems divide by 70% of the total number of problems. For example if there are 200 problems and you got 68% or 136 of them correct then your WeBwork score will be out of 70% of 200 or 140, i.e. 136/140 = 97%. This will be added into the Brightspace gradebook under the category WeBworK (15%). Any problem with technical issue will be removed altogether from the calculations.


     

    Exams and Final Exam Brightspace Quizzes or Assignment Tool will be used for all exams and the final exam.
    • 30% of the total grade. Exams and Final Exam will be made available for 3 days.
      • Exam 1 will be available 12:00am Wed. June 1 and due by 11:55pm Fri. June 4 Details on format, how to submit, etc. will be made available the week before the exam.
      • Exam 2 will be available 12:00am Wed. June 16 and due by 11:55pm Fri. June 18 Details on format, how to submit, etc. will be made available the week before the exam.
    • Final Exam 30% of the total grade The Final Exam will be 50 multiple choice questions and comprehensive - Covering all material The Final Exam will be available 12:00am Wed. June 23 and due by 11:55pm Fri. June 25 Details on format, how to submit, etc. will be made available the week before the exam.


     

    Student Resources
    • Video lectures and slides I have created short video lectures and provided lecture slides for all sections. The links are posted in the calendar and available the Brightspace course website. The video lectures are to help with worksheets, webwork, and exams. Please do let me know if there are errors or omissions in any of the videos. When finding an error, please send me the time mark when it occurred in the video.
    • Brightspace discussion This course is being taught online asynchronous, which means you work at your pace. If you have a question on the concepts being covered, I can guarantee other students have the same question. To help all students, I have created a discussion board for class questions. Please post your question in the Brightspace discussion and I will answer the question as soon as possible.
    • Technology Requirements To successfully complete this course, you will need access to a computer with reliable, high-speed Internet access and appropriate system and software to support the Brightspace learning platform.
    • Brightspace For this online course, Brightspace is our "classroom." Please refer to the Brightspace YouTube video tutorials before you get started and refer back to them as a resource as needed while you complete this course.
    • Academic Enhancement Center (AEC) Tutoring For more information on AEC services visit the AEC website at http://web.uri.edu/aec/.
    • Email instructor Please email me directly at j(lastname)(AT)uri.edu. If you use the Brightspace email system, change the settings and check Send a copy of each outgoing messages to j(lastname)(AT)uri.edu so that a copy is send to my regular URI email account.


     

    Calendar

    The following calendar gives a timetable for the course. The link under Chapter Section will take you to the website for that week, with connections to videos, slides, assignments, topics, and useful resources.

    Date
    (Week)
    Chapter
    Section
    Worksheet
    Due Date
    (11:55pm)
    Webwork
    Due Date
    (11:55pm)
    Textbook
    Problems
    (Practice/Not Graded)
    (Week 0) Introductory Video Please login to Webwork before 5/24
    5/24 - 5/28
    (Week 1)
    Sec. 1.1
    Sec. 1.2
    (1.1) Tues. 5/25
    (1.2) Tues. 5/25
    (1.1 and 1.2)
    Fri. 5/28
    (1.1) 1, 2, 7, 8, 11, 13, 19-22, 25, 30, 31, 32
    (1.2) 1, 3, 7-12 15, 17,20, 23, 28
    Sec. 1.3
    Sec. 1.4
    (1.3) Wed. 5/26
    (1.4) Wed. 5/26
    (1.3 and 1.4)
    Fri. 5/28
    (1.3) 1, 3, 5, 11, 13, 17, 19, 25
    (1.4) 1, 3, 5, 9, 12, 13, 15, 17, 21, 25, 32
    Sec. 1.5
    Sec. 1.7
    (1.5) Thurs. 5/27
    (1.7) Thurs. 5/27
    (1.5 and 1.7)
    Fri. 5/28
    (1.5) 3, 5, 9, 11, 13, 17, 19, 21, 29-33
    (1.7) 3, 5, 7, 9, 13, 15, 16, 19, 26, 27, 33
    6/1 - 6/4
    (Week 2)
    No Class 5/31
    Make-up 6/4
    Sec. 1.8
    Sec. 1.9
    (1.8) Wed. 6/2
    (1.9) Wed. 6/2
    (1.8 and 1.9)
    Fri. 6/4
    (1.8) 1, 3, 7, 9, 11, 13, 17, 19, 27, 31, 32
    (1.9) 1, 2, 5, 7, 9, 17, 19
    Exam 1 - Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.7, 1.8, 1.9 - (Wed. 6/1 - Fri. 6/4)
    Sec. 2.1
    Sec. 6.1
    (2.1) Fri. 6/4
    (6.1) Fri. 6/4
    (2.1 and 6.1)
    Fri. 6/4
    (2.1) 1, 3, 5, 7, 9, 13, 17, 23, 24, 27
    (6.1) 1, 5, 7, 10, 13, 23
    6/7 - 6/11
    (Week 3)
    Sec. 2.2
    Sec. 2.3
    (2.2) Tues. 6/8
    (2.3) Tues. 6/8
    (2.2 and 2.3)
    Fri. 6/11
    (2.2) 1, 3, 5, 7, 8, 12, 13, 17, 18, 24, 31, 33
    (2.3) 1, 3, 7, 8, 9, 13, 15-17, 22
    Sec. 3.1
    Sec. 3.2
    (3.1) Wed. 6/9
    (3.2) Wed. 6/9
    (3.1 and 3.2)
    Fri. 6/11
    (3.1) 1, 3, 5, 9, 11, 13, 20, 21, 25, 33-36
    (3.2) 3, 5, 9, 11, 13, 15, 23 , 25, 31
    Sec. 5.1
    Sec. 5.2
    (5.1) Thurs. 6/10
    (5.2) Thurs. 6/10
    (5.1 and 5.2)
    Fri. 6/11
    (5.1) 1, 3, 5, 7, 9, 13, 17, 19, 25, 26, 38
    (5.2) 1, 3, 7, 9, 10, 15, 18, 23
    6/14 - 6/18
    (Week 4)
    Sec. 5.3 (5.3) Tues. 6/15 (5.3)
    Fri. 6/18
    (5.3) 1, 3, 9, 13, 18, 27, 31
    Project - Due 11:55pm Fri. 6/18
    Exam 2 - Sections 2.1, 2.2, 2.3, 3.1, 3.2, 5.1, 5.2, 5.3, 6.1 - (Wed. 6/16 - Fri. 6/18)
    Sec. 4.1 (4.1) Thurs. 6/17 (4.1)
    Fri. 6/18
    (4.1) 1, 3, 7, 9, 13, 17, 21, 23, 24
    6/21 - 6/25
    (Week 5)
    Sec. 4.2
    Sec. 4.3
    (4.2) Tues. 6/22
    (4.3) Tues. 6/22
    (4.2 and 4.3)
    Fri. 6/25
    (4.2) 1, 3, 5, 7, 10, 17, 19, 23, 27
    (4.3) 1, 3, 5, 9, 11, 15, 19, 23, 24, 37
    Sec. 4.5
    Sec. 4.6
    (4.5) Wed. 6/23
    (4.6) Wed. 6/23
    (4.5 and 4.6)
    Fri. 6/25
    (4.5) 1, 3, 5, 7, 11, 13, 17, 21, 22
    (4.6) 1, 3, 5, 7, 11, 25, 26, 31
    Final Exam - Comprehensive - Covering all material - Wed. 6/23 - Fri. 6/25