MATH 2135-200 (Linear Algebra for mathematics majors)

MATH 2135-200, Summer 2024 (Term B)
Instructor: Dr Green
Venue: M-F 9.20-10.55, EKLY E1B75
Office: MATH 313
Email: rmg [AT]
Office Hours: M-F 11-12.30
Linear Algebra and its Applications by David C. Lay, Steven R. Lay, and Judi J. McDonald (sixth edition)
Requires a prerequisite course of (MATH 2300 or APPM 1360) and (MATH 2001 or MATH 2002) (all minimum grade C-). 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.
In this class, an overall score of 90% or more gets an A; 80% or more gets at least a B; 70% or more gets at least a C; and 60% or more gets at least a D. You may receive a more generous grade than this, but bear in mind that plus and minus grades are not associated with particular numerical ranges. Plus grades are rarely used, and the grade of D+ is almost never used.
To get a good grade in this course, you should do the following:
The two midterms will be held during class on Wednesday, July 17 and Monday, July 29, 2024.
The first midterm might be something like this.
The final examination is on Friday, August 9, 2024 in the usual classroom at the usual class time.
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 midterms 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 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 or cannot take the final exam at the scheduled time, please notify your instructor at least two weeks in advance. If you miss a midterm exam for any acceptable reason (e.g. religious obligation, 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 after the final has started.
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.
See the campus policy regarding religious observances for full details.
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. 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.
Please, no open yawning or sleeping in class!
Statement on Discrimination and Harassment
The University of Colorado Boulder (CU Boulder) is committed to fostering an inclusive and welcoming learning, working, and living environment. CU Boulder will not tolerate acts of sexual misconduct (harassment, exploitation, and assault), intimate partner violence (dating or domestic violence), stalking, or protected-class discrimination or harassment by or against 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 email Information about OIEC, university policies, reporting options, and the campus resources can be found on the OIEC website.
Please know that faculty and graduate instructors have a responsibility to inform OIEC when made aware of incidents of sexual misconduct, dating and domestic violence, stalking, discrimination, harassment and/or related retaliation, to ensure that individuals impacted receive information about their rights, support resources, and reporting options.
Honor Code
All students enrolled in a University of Colorado Boulder course are responsible for knowing and adhering to the Honor Code academic integrity policy. Violations of the Honor Code may include, but are not limited to: 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. All 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 on the Honor Code website.

Homework assignments

Assignment 1 (assigned Tue 9 Jul, due Thu 11 Jul)
1.1: 4, 7, 8, 12, 13, 23, 28, 29, 32
1.2: 1, 2, 11, 12, 25, 26, 27
Assignment 2 (assigned Wed 10 Jul, due Fri 12 Jul)
1.3: 11, 12, 17, 18, 27, 28, 33, 34
1.4: 11, 12, 25, 26, 35, 36
Assignment 3 (assigned Thu 11 Jul, due Mon 15 Jul)
1.5: 5, 6, 19, 20, 30, 32, 33, 34
1.6: [none]
1.7: 5, 15, 16, 19, 20, 37, 38
Assignment 4 (assigned Fri 12 Jul, due Tue 16 Jul)
1.8: 5, 6, 7, 8, 19, 20, 40, 41
1.9: 5, 6, 18, 19, 31, 32
1.10: [none]
Assignment 5 (assigned Tue 16 Jul, due Fri 19 Jul)
2.1: 1, 2, 11, 12, 31, 32
2.2: 1, 3, 13, 17, 18, 24, 31, 32
Assignment 6 (assigned Thu 18 Jul, due Mon 22 Jul)
2.3-2.7: [none]
2.8: 1, 2, 7, 8, 31, 32
2.9: 3, 4, 15, 16, 27, 28, 31, 32
Assignment 7 (assigned Fri 19 Jul, due Tue 23 Jul)
3.1: 9, 10, 22, 23, 24
3.2: 5, 6, 29, 30, 41, 42
3.3: 11, 12, 18