MATH3130 (Linear Algebra)

Text

Linear Algebra and its applications by David C. Lay (third edition)

Prerequisites

MATH2400, Calculus 3

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.

Grading

Your grade will be computed from:

• Homework: 1/6 of final grade;
• Two Midterms: 1/4 of final grade each;
• Final Exam: 1/3 of final grade.

When determining your letter grade, I will take into account (a) your attendance in class (including not walking out early!) (b) the number of homework assignments you completed and (c) improvement during the course.

Tests

The two midterms will be held during class on Wednesday, June 18 and Wednesday, July 9, 2008.

The final exam is on Friday, July 25, 2008 from 9.15 to 10.45, in the usual classroom. (Check that this agrees with your other sources of information!)

Bring your CU student ID to all of your tests.

Homework

Homework is due at the beginning of class on Mondays and Thursdays. Some, but not all of the problems will be graded. The homework component of your grade will be based on your best 10 assignments. Late work will not normally be graded. Justify all your answers.

Students With Disabilities

If you qualify for accommodations because of a disability, please submit to your instructor a letter from Disability Services in a timely manner so that your needs may be addressed. Disability Services determines accommodations based on documented disabilities. Contact: 303-492-8671, Willard 322, and www.Colorado.EDU/disabilityservices.

Disability Services' letters for students with disabilities indicate legally mandated reasonable accommodations. The syllabus statements and answers to Frequently Asked Questions can be found at www.colorado.edu/disabilityservices

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 one or two midterm exams for any acceptable reason (e.g. religious obligation, documented illness), that midterm exam score will be replaced by the average of the remaining score(s). If you miss all three exams for acceptable reasons, your course grade will be based entirely on your final exam score. If you miss the final exam and have not rescheduled it in advance, you will score zero on the final, and you should expect to fail the course.

Religious Obligations

Campus policy regarding religious observances requires that faculty make every effort to reasonably and fairly deal with all students who, because of religious obligations, have conflicts with scheduled exams, assignments or required attendance. In this class, you should notify your instructor of any conflict at least two weeks in advance. See full details at http://www.colorado.edu/policies/fac_relig.html.

Student Classroom and Course-Related Behavior

Students and faculty each have responsibility for maintaining an appropriate learning environment. Students 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 differences of race, culture, religion, politics, sexual orientation, gender variance, and nationalities. Class rosters are provided to the instructor with the student's legal name. Your instructor will gladly honor your request to address you by an alternate name or gender pronoun. Please advise your instructor of this preference early in the semester so that appropriate changes may be made to the records. Please, no open yawning, sleeping in class, or walking out early! See policies at http://www.colorado.edu/policies/classbehavior.html and at http://www.colorado.edu/studentaffairs/judicialaffairs/code.html#student_code

Honor Code

All students of the University of Colorado at Boulder are responsible for knowing and adhering to the academic integrity policy of this institution. Violations of this policy may include: cheating, plagiarism, aid of academic dishonesty, fabrication, lying, bribery, and threatening behavior. All incidents of academic misconduct shall be reported to the Honor Code Council (honor@colorado.edu; 303-735-2273). Students who are found to be in violation of the academic integrity policy will be subject to both academic sanctions from the faculty member and non-academic sanctions (including but not limited to university probation, suspension, or expulsion). Other information on the Honor Code can be found at http://www.colorado.edu/policies/honor.html and at http://www.colorado.edu/academics/honorcode/

Statement on Discrimination and Harassment

The University of Colorado at Boulder policy on Discrimination and Harassment (http://www.colorado.edu/policies/discrimination.html), the University of Colorado policy on Sexual Harassment and the University of Colorado policy on Amorous Relationships applies to all students, staff and faculty. Any student, staff or faculty member who believes s/he has been the subject of discrimination or harassment based upon race, color, national origin, sex, age, disability, religion, sexual orientation, or veteran status should contact the Office of Discrimination and Harassment (ODH) at 303-492-2127 or the Office of Judicial Affairs at 303-492-5550. Information about the ODH, the above referenced policies and the campus resources available to assist individuals regarding discrimination or harassment can be obtained at http://www.colorado.edu/odh.

Homework assignments

Assignment 1 (assigned Mon 2 Jun, due Thu 5 Jun)

1.1: 4, 11, 14, 15, 18, 19, 22, 31

1.2: 2, 7, 9, 12, 15, 17, 19, 31

Graded: 1.1.14 (2), 1.1.18 (3), 1.2.12 (2), 1.2.19 (3)

Assignment 2 (assigned Thu 5 Jun, due Mon 9 Jun)

1.3: 4, 5, 10, 11, 18, 21, 24

1.4: 8, 10, 18, 21, 25, 26

Graded: 1.3.10 (2), 1.3.18 (3), 1.4.18 (3), 1.4.26 (2)

Assignment 3 (assigned Mon 9 Jun, due Thu 12 Jun)

1.5: 4, 6, 12, 13, 21, 28

1.6: [skipped]

1.7: 5, 14, 32, 33, 38

Graded: 1.5.6 (4), 1.5.12 (3), 1.7.14 (3)

Assignment 4 (assigned Thu 12 Jun, due Mon 16 Jun)

1.8: 9, 16, 17, 31, 32

1.9: 1, 4, 16, 17, 31, 32

1.10: [skipped]

2.1: 2, 10, 12, 15, 27

Graded: 1.8.17 (3), 1.9.4 (3), 1.9.16 (2), 2.1.12 (2)

Assignment 5 (assigned Mon 16 Jun, due Thu 19 Jun)

2.2: 3, 6, 7, 9, 10, 14, 15, 18, 19, 22, 30, 31

2.3, 2.4, 2.5, 2.6, 2.7: [all skipped]

Graded: 2.2.6 (2), 2.2.10 (3), 2.2.18 (2), 2.2.31 (3)

Assignment 6 (assigned Thu 19 Jun, due Mon 23 Jun)

2.8: 7, 8, 9, 10, 25, 26

2.9: 1, 2, 3, 4, 13, 17, 20, 25

Graded: 2.8.8 (3), 2.8.10 (2), 2.9.13 (3), 2.9.20 (2)

Assignment 7 (assigned Mon 23 Jun, due Thu 26 Jun)

3.1: 3, 4, 9, 10, 37, 38

3.2: 1, 4, 11, 19, 26, 28, 29

3.3: 11, 12, 20

Graded: 3.1.9 (3), 3.2.19 (2), 3.3.12 (3), 3.3.20 (2)

Assignment 8 (assigned Thu 26 Jun, due Mon 30 Jun)

4.1: 1, 2, 5, 6, 7, 8, 11, 12, 20, 32

4.2: 11, 12, 30, 33, 34

Graded: 4.1.2 (3), 4.1.8 (3), 4.2.34 (4)

Assignment 9 (assigned Mon 30 Jun, due Thu 3 Jul)

4.3: 1, 2, 15, 20, 21, 29, 30, 34

4.4: 1, 2, 8, 10, 11, 14

4.5: 6, 20

Graded: 4.3.20 (2), 4.3.30 (2), 4.4.14 (3), 4.5.6 (3)

Assignment 10 (assigned Thu 3 Jul, due Mon 7 Jul)

4.6: 3, 4, 10, 13, 18, 28

Graded: 4.6.4 (5), 4.6.10 (2), 4.6.18 (3)

Assignment 11 (assigned Mon 7 Jul, due Thu 10 Jul)

4.7: 6, 13, 14

5.1: 1, 2, 5, 6, 11, 12, 15, 19, 20, 26

Graded: 4.7.14 (4), 5.1.12 (3), 5.1.20 (3)

Assignment 12 (assigned Thu 10 Jul, due Mon 14 Jul)

5.2: 3, 4, 9, 10, 17, 20, 24, 26

5.3: 1, 4, 5, 6, 7, 8, 11, 12, 22

Graded: 5.2.10 (3), 5.3.4 (3), 5.3.12 (4)

Assignment 13 (assigned Mon 14 Jul, due Thu 17 Jul)

5.4: 1, 3, 6, 8, 11, 13, 14, 20, 27

6.1: 6, 14, 20, 23, 28

Graded: 5.4.6 (4), 5.4.14 (3), 6.1.20 (3)

Assignment 14 (assigned Thu 17 Jul, due Mon 21 Jul)

6.2: 6, 7, 10, 11, 16, 17, 20, 27

6.3: 1, 9, 12

6.4: 1, 5, 12

Graded: 6.2.10 (3), 6.3.12 (3), 6.4.12 (4)