MATH 2135-001 (Linear Algebra for mathematics majors)

MATH 2135-001 (Fall 2020)
Instructor: Dr Green
Venue: MWF 9.10, CASE E380
Office: Zoom Meeting ID 977 9848 5789; see me for the password.
Email: rmg [AT]
Office Hours: MWF 10.20-11.10, or by appointment
Linear Algebra and its applications by David C. Lay, Steven R. Lay, and Judi J. McDonald (fifth edition)
Introduction to Discrete Mathematics (MATH 2001 or MATH 2002) and Calculus 2 (MATH 2300 or APPM 1360). Credit not granted for this course and MATH 2130 or APPM 3310. Formerly MATH 3135.
Course Contents
Basic properties of systems of linear equations, matrices and matrix algebra, determinants, vector spaces, subspaces, linear independence of vectors, basis and dimension of subspaces, linear transformations, eigenvalues and eigenvectors of a matrix, orthogonality of vectors, inner product and length of vectors.
Your grade will be computed from:
Students will obtain the full 5% for class conduct by default. Points may be deducted for repeated unexcused absences.
Due to the uncertainty of the current situation, it may be necessary to change the way the course is assessed after it has started, including changing the weightings of the components of the course.
When determining your letter grade, I will take into account (a) your attendance and punctuality, (b) the effort you put into the course and (c) your improvement during the course.
To get a good grade in this course, you should do the following:
All tests will be open book exams. You will be allowed to use calculators, formula sheets, notes, and books. You will not be allowed to use other people or the internet as resources. You must show all steps in your work.
The first midterm is an open book exam, which will be assigned on Wednesday October 7 and due on Wednesday October 14 at the beginning of class, via Canvas. You may download it from the Canvas site, or from here.
The second midterm will be an open book exam, which will be assigned on approximately Wednesday October 28. You may download it from the Canvas site, or from here.
The final will be an open book exam, which will be due on Saturday, December 12, 2020 at 4pm, which is the end of the officially designated examination time.
The first midterm may be something like this.
The second midterm may be something like this.
The final may be something like this.
Homework is due at the beginning of class. Some, but not all of the problems will be graded. Justify all your answers. You should assume that late work will not be graded.
All homework assignments from Assignment 5 onwards must be submitted via Canvas at
Collaborating with other students on the homework, or referring to the answers in the textbook to the odd-numbered problems is acceptable. However, copying your homework answers from sites such as Chegg, Course Hero, Slader, etc., is cheating. The solutions on these sites are sometimes wrong in very specific ways, and this can reveal when a student is copying from them. Furthermore, if you copy from these sites, you will learn very little. This is likely to lead to you being unable to pass midterms 2 and 3, and failing the course.
Accommodation for Disabilities
If you qualify for accommodations because of a disability, please submit your accommodation letter from Disability Services to your faculty member in a timely manner so that your needs can be addressed. Disability Services determines accommodations based on documented disabilities in the academic environment. Information on requesting accommodations is located on the Disability Services website. Contact Disability Services at 303-492-8671 or for further assistance. If you have a temporary medical condition, see Temporary Medical Conditions on the Disability Services website.
Missed Exams
If you know that you are going to miss an exam at the scheduled time, please notify your instructor at least two classes in advance. If you miss one (and only one) midterm exam for any acceptable reason (e.g. religious obligation, documented illness), that midterm exam score will be replaced by an estimated score based on your position in the class on the other two midterms. You may not reschedule an exam after the exam has started.
In order to be excused from an exam for medical reasons, you must either produce a note from a doctor, or you must obtain prior permission from the instructor to miss the exam. Self diagnosis and self medication are acceptable for this purpose only if you think you may have COVID-19.
Religious Holidays
Campus policy regarding religious observances requires that faculty make every effort to deal reasonably and fairly with all students who, because of religious obligations, have conflicts with scheduled exams, assignments or required attendance. In this class, you should inform your professor of any conflict as soon as possible, and at least a week in advance.
In the case of conflicts with exams, if you do not inform your instructor of the conflict at least two classes in advance of the exam, you must provide documentary evidence of the religious obligation.
Student Classroom and Course-Related Behavior
Both students and faculty are responsible for maintaining an appropriate learning environment in all instructional settings, whether in person, remote or online. Those who fail to adhere to such behavioral standards may be subject to discipline. Professional courtesy and sensitivity are especially important with respect to individuals and topics dealing with race, color, national origin, sex, pregnancy, age, disability, creed, religion, sexual orientation, gender identity, gender expression, veteran status, political affiliation or political philosophy. For more information, see the policies on classroom behavior and the Student Code of Conduct.
Please, no open yawning or sleeping in class! If you are having a problem with some aspect of the course, you should discuss it with me in a civil manner. Outbursts directed at the instructor or grader for this course will not be tolerated.
CU Boulder recognizes that students' legal information doesn't always align with how they identify. Students may update their preferred names and pronouns via the student portal; those preferred names and pronouns are listed on instructors' class rosters. In the absence of such updates, the name that appears on the class roster is the student's legal name.
Requirements for COVID-19
As a matter of public health and safety due to the pandemic, all members of the CU Boulder community and all visitors to campus must follow university, department and building requirements, and public health orders in place to reduce the risk of spreading infectious disease. Required safety measures at CU Boulder relevant to the classroom setting include:
Students who fail to adhere to these requirements will be asked to leave class, and students who do not leave class when asked or who refuse to comply with these requirements will be referred to Student Conduct and Conflict Resolution. For more information, see the policies on COVID-19 Health and Safety and classroom behavior and the Student Code of Conduct. If you require accommodation because a disability prevents you from fulfilling these safety measures, please see the "Accommodation for Disabilities" statement on this syllabus.
Before returning to campus, all students must complete the COVID-19 Student Health and Expectations Course. Before coming on to campus each day, all students are required to complete a Daily Health Form.
Students who have tested positive for COVID-19, have symptoms of COVID-19, or have had close contact with someone who has tested positive for or had symptoms of COVID-19 must stay home and complete the Health Questionnaire and Illness Reporting Form remotely.
Statement on Discrimination and Harassment
The University of Colorado Boulder (CU Boulder) is committed to fostering a positive and welcoming learning, working, and living environment. CU Boulder will not tolerate acts of sexual misconduct intimate partner abuse (including dating or domestic violence), stalking, protected-class discrimination or harassment by members of our community. Individuals who believe they have been subject to misconduct or retaliatory actions for reporting a concern should contact the Office of Institutional Equity and Compliance (OIEC) at 303-492-2127 or Information about the OIEC, university policies, anonymous reporting, and the campus resources can be found on the OIEC website.
Honor Code
All students enrolled in a University of Colorado Boulder course are responsible for knowing and adhering to the Honor Code. Violations of the policy may include: plagiarism, cheating, fabrication, lying, bribery, threat, unauthorized access to academic materials, clicker fraud, submitting the same or similar work in more than one course without permission from all course instructors involved, and aiding academic dishonesty. Incidents of academic misconduct may be reported to the Honor Code (; 303-492-5550). Students found responsible for violating the academic integrity policy will be subject to nonacademic sanctions from the Honor Code as well as academic sanctions from the faculty member. Additional information regarding the Honor Code academic integrity policy can be found at the Honor Code Office website.

Homework assignments

Assignment 1 (assigned Mon 24 Aug, due Mon 31 Aug)
1.1: 4, 9, 10, 12, 13, 23, 28, 29, 32
1.2: 1, 2, 11, 12, 25, 26, 27
Assignment 2 (assigned Mon 31 Aug, due Wed 9 Sep)
1.3: 11, 12, 17, 18, 25, 26, 33, 34
1.4: 11, 12, 25, 26, 35, 36
Assignment 3 (assigned Wed 9 Sep, due Mon 14 Sep)
1.5: 5, 6, 15, 16, 29, 30, 35, 36
1.6: [none]
1.7: 5, 12, 19, 20, 28, 33, 36
Assignment 4 (assigned Mon 14 Sep, due Mon 21 Sep)
1.8: 9, 10, 19, 20, 31, 32, 33, 34
1.9: 5, 6, 18, 19, 29, 30
1.10: [none]
Assignment 5 (assigned Mon 21 Sep, due Mon 28 Sep)
2.1: 1, 2, 19, 20, 27, 28
2.2: 1, 3, 14, 17, 18, 24, 31, 32
Assignment 6 (assigned Fri 25 Sep, due Fri 2 Oct)
2.3-2.7: [none]
2.8: 1, 2, 7, 8, 31, 32
2.9: 3, 4, 11, 12, 20, 21, 24, 25
Assignment 7 (assigned Fri 2 Oct, due Mon 12 Oct)
3.1: 9, 10, 25, 37, 38
3.2: 5, 6, 28, 29, 31, 34
3.3: 11, 12, 18
Assignment 8 (assigned Fri 9 Oct, due Mon 19 Oct)
4.1: 5, 6, 7, 8, 16, 20
4.2: 11, 12, 15, 16, 30, 32, 33, 34
Assignment 9 (assigned Mon 19 Oct, due Mon 26 Oct)
4.3: 11, 12, 20, 23, 24, 26, 33, 34
4.4: 8, 10, 11, 14, 27, 30
4.5: 6, 28
Assignment 10 (assigned Mon 26 Oct, due Mon 2 Nov)
4.6: 3, 4, 6, 10, 19, 20, 28
4.7: 6, 7, 8, 13, 14
Assignment 11 (assigned Mon 2 Nov, due Mon 9 Nov)
5.1: 5, 6, 11, 12, 15, 19, 20, 25, 26, 31, 32
Assignment 12 (assigned Mon 9 Nov, due Mon 16 Nov)
5.2: 9, 10, 17, 18, 19, 20, 24
5.3: 1, 4, 5, 6, 11, 12, 25, 26, 28
Assignment 13 (assigned Mon 16 Nov, due Mon 23 Nov)
5.4: 3, 4, 6, 8, 11, 14, 20, 22, 23
6.1: 6, 14, 20, 28, 31
Assignment 14 (assigned Mon 23 Nov, due Fri 4 Dec)
6.2: 9, 10, 15, 16, 20, 26, 27, 28
6.3: 1, 8, 12
6.4: 1, 5, 12