|John Eggers||Instructor||APM email@example.com|
|Todd Kemp||Instructor||APM firstname.lastname@example.org|
|Prashant Singh||Teaching Assistant||MAYER email@example.com|
|Yiwei Sang||Teaching Assistantfirstname.lastname@example.org|
|Marc Loschen||Teaching Assistant||APM email@example.com|
|Ashwin Nayak||Teaching Assistant||APM firstname.lastname@example.org|
|Rose Elliott Smith||Teaching Assistantemail@example.com|
|Eric Lybrand||Teaching Assistant||APM firstname.lastname@example.org|
|Anirudh Ravichandran||Teaching Assistant||APM email@example.com|
|Xinyi Luo||Teaching Assistantfirstname.lastname@example.org|
We will be communicating with you and making announcements through an online question and answer platform called Piazza (sign up link: piazza.com/ucsd/winter2018/math18). We ask that when you have a question about the class that might be relevant to other students, you post your question on Piazza instead of emailing us. That way, everyone can benefit from the response. Posts about homework or exams on Piazza should be content based. While you are encouraged to crowdsource and discuss coursework through Piazza, please do not post complete solutions to homework problems there. Questions about grades should be brought to the instructors, in office hours. You can also post private messages to instructors on Piazza, which we prefer over email.
Our office hours can be found in the following calendar.
|Lecture A00 (Eggers)||Monday, Wednesday, Friday||8:00am - 8:50am||LEDDN AUD|
|Lecture B00 (Kemp)||Monday, Wednesday, Friday||10:00am - 10:50am||CENTR 119|
|Lecture C00 (Kemp)||Monday, Wednesday, Friday||12:00pm - 12:50pm||CENTR 119|
|Discussion A01 (Singh)||Thursday||8:00am - 8:50am||APM 2301|
|Discussion A02 (Singh)||Thursday||9:00am - 9:50am||APM 2301|
|Discussion A03 (Sang)||Thursday||10:00am - 10:50am||APM 2301|
|Discussion A04 (Sang)||Thursday||11:00am - 11:50am||APM 2301|
|Discussion A05 (Loschen)||Thursday||12:00pm - 12:50pm||APM 2301|
|Discussion A06 (Loschen)||Thursday||1:00pm - 1:50pm||APM 2301|
|Discussion B01 (Nayak)||Thursday||8:00pm - 8:50am||WLH 2208|
|Discussion B02 (Nayak)||Thursday||9:00am - 9:50am||WLH 2208|
|Discussion B03 (Elliott Smith)||Thursday||10:00am - 10:50am||WLH 2208|
|Discussion B04 (Elliott Smith)||Thursday||11:00am - 11:50am||WLH 2208|
|Discussion B05 (Lybrand)||Thursday||12:00pm - 12:50pm||WLH 2208|
|Discussion B06 (Lybrand)||Thursday||1:00pm - 1:50pm||WLH 2208|
|Discussion C01 (Ravichandran)||Thursday||2:00pm - 2:50pm||APM 2301|
|Discussion C02 (Ravichandran)||Thursday||3:00pm - 3:50pm||APM 2301|
|Discussion C03 (Luo)||Thursday||4:00pm - 4:50pm||APM 2301|
|Discussion C04 (Luo)||Thursday||5:00pm - 5:50pm||APM 2301|
|Discussion C05 (Ravichandran)||Thursday||6:00pm - 6:50pm||APM 2301|
|Discussion C06 (Ravichandran)||Thursday||7:00pm - 7:50pm||APM 2301|
|First Midterm Exam||Wednesday, Jan 31||8:00pm - 10:00pm||GH 242 & YORK 2622 & YORK 2722|
|Second Midterm Exam||Wednesday, Feb 28||8:00pm - 10:00pm||GH 242 & PETER 108 & PETER 110|
|Final Exam||Saturday, Mar 17||11:30am - 2:30pm||TBA|
Course: Math 18
Title: Linear Algebra
Credit Hours: 4 (Students may not receive credit for both Math 18 and 31AH.)
Prerequisite: Math Placement Exam qualifying score, or AP Calculus AB score of 2, or SAT II Math Level 2 score of 600 or higher, or Math 3C, or Math 4C, or Math 10A, or Math 20A, or consent of instructor.
Catalog Description: Matrix algebra, Gaussian elimination, determinants, Linear and affine subspaces, bases of Euclidean spaces. Eigenvalues and eigenvectors, quadratic forms, orthogonal matrices, diagonalization of symmetric matrices. Applications. Computing symbolic and graphical solutions using Matlab. See the UC San Diego Course Catalog.
Textbook: Linear Algebra and its Applications, by David C. Lay, Steven R. Lay, and Judi J. McDonald; published by Pearson (Addison Wesley).
Subject Material: We will cover parts of chapters 1-7 of the text.
Lecture: Attending the lecture is a fundamental part of the course; you are responsible for material presented in the lecture whether or not it is discussed in the textbook. You should expect questions on the exams that will test your understanding of concepts discussed in the lecture.
Reading: Reading the sections of the textbook corresponding to the assigned homework exercises is considered part of the homework assignment; you are responsible for material in the assigned reading whether or not it is discussed in the lecture.
Calendar of Lecture Topics: The following calendar is subject to revision during the term. The section references are only a guide; our pace may vary from it somewhat.
1.1 Systems of linear equations
|Jan 9||Jan 10
1.2 Row reduction & echelon forms
1.3 Vector equations
|Jan 16||Jan 17
1.4 Matrix equation
Ax = b
1.5 Solution sets
1.7 Linear independence
|Jan 23||Jan 24
1.8 Linear transformations
1.9 The matrix of a linear transformation
2.1 Matrix operations
|Jan 30||Jan 31
Catch up & Review
2.2, 2.3 Inverse of a matrix
Last Day to
Drop w/o 'W'
4.1 Vector spaces and subspaces
|Feb 6||Feb 7
4.2 Null spaces & column spaces
4.3 Linear independent sets; bases
|Feb 13||Feb 14
4.4 Coordinate systems
3.2 Properties of determinants
|Feb 20||Feb 21
3.3 Determinants and volume
5.1 Eigenvectors and eigenvalues
5.2 Characteristic polynomial
|Feb 27||Feb 28
Catch up & Review
6.1, 6.7 Inner product,
length, & orthogonality
|Mar 6||Mar 7
6.2 Orthogonal sets
6.3 Orthogonal projections
Last Day to
Drop w/o 'F'
6.4 Gram-Schmidt orthogonalization
|Mar 13||Mar 14
7.1 Spectral Theorem
Homework: Homework is a very important part of the course and in order to fully master the topics it is essential that you work carefully on every assignment and try your best to complete every problem. We will have two different kinds of homework assignments in this class: online homework (which will be graded) and "paper-and-pen" homework (which will not be graded).
MATLAB: In applications of linear algebra, the theoretical concepts that you will learn in lecture are used together with computers to solve large scale problems. Thus, in addition to your written homework, you will be required to do homework using the computer language MATLAB. The Math 18 MATLAB Assignments page contains all information relevant to the MATLAB component of Math 18. The first assignment is due in week 2 of the course. You can do the homework on any campus computer that has MATLAB. Questions regarding the MATLAB assignments should be directed to the TAs. There are also tutors available beginning Thursday or Friday of the first week of classes in B432 of AP&M. Please turn in your homework via Gradescope, as described on the MATLAB page, by 11:59pm on the indicated due date (as indicated on the Math 18 MATLAB Assignments page). In general, MATLAB homework will be accepted up to 48 hours after the deadline, but a 10% late penalty will be assessed if it is not uploaded before the deadline. In case you have to miss one MATLAB assignment, your lowest MATLAB homework score will be dropped. There will be a MATLAB quiz at the end of the quarter.
Midterm Exams: There will be two midterm exams given during the quarter. See above for the dates and times of the midterm exams. You may bring one 8.5 by 11 inch sheet of paper with handwritten notes (on both sides) with you to each midterm exam; no other notes (or books) will be allowed. No calculators, phones, or other electronic devices will be allowed during the midterm exams. There will be no makeup exams.
Final Examination: The final examination will be held at the date and time stated above.
Administrative Links: Here are two links regarding UC San Diego policies on exams:
Administrative Deadline: Your scores for all graded work will be posted to TritonEd.
Grading: Your course grade will be determined by your cumulative average at the end of the term and will be based on the following scale:
Academic Integrity: UC San Diego's code of academic integrity outlines the expected academic honesty of all students and faculty, and details the consequences for academic dishonesty. The main issues are cheating and plagiarism, of course, for which we have a zero-tolerance policy. (Penalties for these offenses always include assignment of a failing grade in the course, and usually involve an administrative penalty, such as suspension or expulsion, as well.) However, academic integrity also includes things like giving credit where credit is due, and treating your peers respectfully in class. In addition, here are a few of our expectations for etiquette in and out of class.
Here are some additional resources for this course, and math courses in general.
Here are the notes from the lectures (for each of lectures B and C). The "skeleton" of notes from before the lecture begins will be posted the day before the lecture (in case you wish to print it or view it as the lecture proceeds), while the completed notes will be posted soon after the lecture.