MATH 2130-004 (Linear Algebra for non-mathematics majors)

MATH 2130-004 (Fall 2021)
Instructor: Dr Green
Venue: MWF 12.40-1.30, CLRE 208
Office: MATH 313
Office: Zoom Meeting ID 977 9848 5789; see me for the password.
Email: rmg [AT]
Office Hours: M 1.50, W 11.30, F 10.20
Linear Algebra and its applications by David C. Lay, Steven R. Lay, and Judi J. McDonald (fifth edition)
MATH 2300 or APPM 1360. Credit not granted for this course and MATH 2135 or APPM 3310. Formerly MATH 3130.
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 22 and Wednesday, October 27, 2021.
The first midterm might be something like this.
The final examination is on Saturday, December 11, 2021 from 4.30pm to 7pm in the usual classroom. Bring your CU student ID to all of your tests.
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.
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.
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!
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 all public health orders in place to reduce the risk of spreading infectious disease. 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 policy on classroom behavior and the Student Code of Conduct. If you require accommodation because a disability prevents you from fulfilling these safety measures, please follow the steps in the "Accommodation for Disabilities" statement on this syllabus.
As of August 13, 2021, CU Boulder has returned to requiring masks in classrooms and laboratories regardless of vaccination status. This requirement is a temporary precaution during the delta surge to supplement CU Boulder's COVID-19 vaccine requirement. Exemptions include individuals who cannot medically tolerate a face covering, as well as those who are hearing-impaired or otherwise disabled or who are communicating with someone who is hearing-impaired or otherwise disabled and where the ability to see the mouth is essential to communication. If you qualify for a mask-related accommodation, please follow the steps in the "Accommodation for Disabilities" statement on this syllabus. In addition, vaccinated instructional faculty who are engaged in an indoor instructional activity and are separated by at least 6 feet from the nearest person are exempt from wearing masks if they so choose.
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. In this class, if you are sick or quarantined, you should alert your instructor immediately.
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 Mon 23 Aug, due Mon 30 Aug)
1.1: 4, 9, 10, 12, 13, 19, 20, 23
1.2: 1, 2, 11, 12, 15, 16, 25
Assignment 2 (assigned Mon 30 Aug, due Wed 8 Sep)
1.3: 5, 6, 11, 12, 17, 18, 25, 26
1.4: 11, 12, 21, 22, 25, 26
Assignment 3 (assigned Wed 8 Sep, due Mon 13 Sep)
1.5: 1, 2, 5, 6, 11, 12, 15, 16, 19
1.6: [none]
1.7: 5, 12, 19, 20, 21, 28
Assignment 4 (assigned Mon 13 Sep, due Mon 20 Sep)
1.8: 3, 6, 9, 10, 19, 20, 32, 33
1.9: 3, 4, 5, 6, 18, 19
1.10: [none]
Assignment 5 (assigned Mon 20 Sep, due Mon 27 Sep)
2.1: 1, 2, 7, 16, 18, 23
2.2: 1, 3, 5, 6, 9, 14, 31, 32