MATH 2135-001 (Linear Algebra for mathematics majors)

MATH 2135-001 (Fall 2019)
Instructor: Dr Green
Venue: MWF 9, MUEN E064
Office: MATH 313
Email: rmg [AT]
Office Hours: M 2, W 3, F 10
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 repeatedly being late, repeatedly leaving early, sleeping or excessive yawning in class, very poor class attendance, or obnoxious behavior.
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:
The two midterms will be held during class on Wednesday, September 25 and Friday, November 1, 2019.
The final examination is on Wednesday, December 18, 2019 from 1.30pm to 4pm in the usual classroom.
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.
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 midterm 2 and the final, and failing the course.
Students With 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 (at least one week before the exam) 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 or injury, see Temporary Medical Conditions under the Students tab on the Disability Services website and discuss your needs with your professor.
Missed Exams
If you know that you are going to miss an exam or cannot take the final exam at the scheduled time, please notify your instructor at least two classes in advance. If you miss a 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 performance on the other midterm. If you miss both exams for acceptable reasons, your midterm scores will be replaced by estimated scores based on your performance on the final. If you miss the final exam and have not rescheduled it in advance, you will score zero on the final or receive an incomplete in the course, depending on the circumstances. You may not reschedule a final 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 not acceptable for this purpose.
Religious Obligations
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
Students and faculty each have responsibility for maintaining an appropriate learning environment. 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. Class rosters are provided to the instructor with the student's legal name. I will gladly honor your request to address you by an alternate name or gender pronoun. Please advise me of this preference early in the semester so that I may make appropriate changes to my records. 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.
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 academic integrity policy. 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 Council (; 303-735-2273). Students who are found responsible for violating the academic integrity policy will be subject to nonacademic sanctions from the Honor Code Council as well as academic sanctions from the faculty member. Additional information regarding the academic integrity policy can be found at the Honor Code Office website.

Homework assignments

Assignment 1 (assigned Mon 26 Aug, due Wed 4 Sep)
1.1: 4, 9, 10, 12, 13, 23, 28, 29, 32
1.2: 1, 2, 11, 12, 25, 26, 27
Assignment 2 (assigned Wed 4 Sep, due Mon 9 Sep)
1.3: 11, 12, 17, 18, 25, 26, 33, 34
1.4: 11, 12, 25, 26, 35, 36
Assignment 3 (assigned Mon 9 Sep, due Mon 16 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 16 Sep, due Mon 23 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 23 Sep, due Mon 30 Sep)
2.1: 1, 2, 19, 20, 27, 28
2.2: 1, 3, 14, 17, 18, 24, 31, 32
Assignment 6 (assigned Mon 30 Sep, due Mon 7 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 Mon 7 Oct, due Mon 14 Oct)
3.1: 9, 10, 25, 37, 38
3.2: 26, 28, 29, 31, 34
3.3: 11, 12, 18
Assignment 8 (assigned Mon 14 Oct, due Mon 21 Oct)
4.1: 5, 6, 7, 8, 16, 20
4.2: 11, 12, 15, 16, 30, 32, 33, 34
Assignment 9 (assigned Mon 21 Oct, due Mon 4 Nov)
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 4 Nov, due Fri 8 Nov)
4.6: 3, 4, 6, 10, 19, 20, 28
4.7: 6, 7, 8, 13, 14
Assignment 11 (assigned Wed 6 Nov, due Mon 11 Nov)
5.1: 5, 6, 11, 12, 15, 19, 20, 25, 26, 31, 32
Assignment 12 (assigned Mon 11 Nov, due Mon 18 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 18 Nov, due Mon 2 Dec)
5.4: 3, 4, 6, 8, 11, 14, 20, 22, 23
6.1: 6, 14, 20, 28, 31
Assignment 14 (assigned Mon 2 Dec, due Mon 9 Dec)
6.2: 9, 10, 15, 16, 20, 26, 27, 28
6.3: 1, 8, 12
6.4: 1, 5, 12