Midterm 2 will take place Wednesday, February 28, beginning at 8pm, in three lectures halls in Revelle College.**There is assigned seating for the exam.**You will find your assigned seat in TritonEd. Please note that**different lectures do not correspond to different rooms!**Lectures A00, B00, and C00 are mixed and randomized between the 3 rooms. Please make sure you know which room and seat you are in before you arrive at the exam. For more details about the seating arrangement, read here.- You may bring
**one 8.5x11 sheet**with hand-written notes (on both sides) to the exam.**No other notes or books are permitted.** **No electronic devices of any kind are permitted.**In particular, you may not use your phone as a time-piece. Clocks will be visible in the room. Remember that this is designed as a 50 minute exam, but you will have up to 2 hours to complete it.- You should write all your solutions on the exam paper, in the space allotted. Scratch paper will be provided if you need it, but the scratch paper will not be turned in or considered when grading the exams.
- Here are two sample midterms (from previous editions of this class): Sample Midterm 1 and Sample Midterm 2. They both cover very similar topics as the midterm you will write on Wednesday (with the exception of Problem 4(c) on Sample Midterm 2, which deals with change of basis matrix - a topic not covered in this course).
- Lecture on February 28 will be review for the midterm. We will work through a sample midterm, and then we will open the floor to questions, so bring your best questions (related to material for this midterm).

Screencast for Prof. Kemp's Lectures B00 and C00 is, unfortunately, unavailable for Lectures 1 and 7. The audio podcast is available, and the before/after slides are posted at the bottom of this page as usual.Welcome to Math 18: Linear Algebra, in "Winter" 2018!

Textbook : The required textbook for this course is

*Linear Algebra and its Applications, w/ MyMathLab*, by David C. Lay, Steven R. Lay, and Judi J. McDonald.

This is the textbook available at the UC San Diego bookstore. If you choose to purchase it elsewhere, be aware that**you need MyMathLab access**, which is included with the bookstore version of the textbook but not with all versions. Note: you may also forego the physical textbook and just purchase a**MyMathLab access code**directly from MyMathLab the first time you login (see TritonEd below); this includes access to the ebook version of the textbook.TritonEd & MyMathLab : We will use TritonEd for two purposes in this class: to disseminate grades, and as a portal to MyMathLab, the online homework system associated to the textbook, through which you will submit your homework. In the course page on TritonEd, you can click on**MyLab**in the right tab. There you will see links to Pearson MyMathLab. The first time you login, you will be prompted to create an account with Pearson, and then enter the access code that came with your textbook (or purchase one here). This is a one-time procedure; after that every time you login will give you direct access to MyMathLab. There you will find all currently available homework assignments, along with their listed due dates. You will also have access to the ebook version of the textbook here (for the lifetime of the current edition).Homework : There are two kinds of homework for this course. There will be (approximately) weekly MyMathLab assignments which you will submit online. The assignments can be found in your TritonEd account, under**MyLab**, as described above.

There are also accompanying textbook homework problems, which can be found here. These problems are not to be turned in and will not be graded; however, it is often the case that exam questions may be based on problems like the ones you'll find here, so it is to your benefit to work on them! See below for more details.MATLAB : One component of our coursework is a series of MATLAB exercises. You will sign up for a MATLAB section and submit your MATLAB work through gradescope. All information releventt to the MATLAB component of Math 18 can be found here.Exams : There will be two evening midterm exams and a final exam; dates, times, and locations posted below. Note that there will be no make-up dates for the midterms or the final exam. They were scheduled before you signed up for the class. If you cannot take the final exam at its scheduled time, you should not enroll in this class.Piazza : We will use Piazza, an online discussion board. It will allow you to post messages (openly or anonymously) and answer posts made by your fellow students, about course content, homework, exams, etc. The instructors will also monitor and post to Piazza regularly. You can sign up here if you are not already signed up. Note: Lectures A, B, and C of Math 18 will use a common Piazza site. We will all have the same homework and common exams, and the lectures will move at the same pace.

Name | Role | Office | |

John Eggers | Instructor | APM 5802 | jeggers@ucsd.edu |

Todd Kemp | Instructor | APM 5202 | tkemp@math.ucsd.edu |

Prashant Singh | Teaching Assistant | MAYER 5722 | prs032@ucsd.edu |

Yiwei Sang | Teaching Assistant | yisang@ucsd.edu | |

Marc Loschen | Teaching Assistant | APM 6446 | mloschen@ucsd.edu |

Ashwin Nayak | Teaching Assistant | APM 2313 | asnayak@ucsd.edu |

Rose Elliott Smith | Teaching Assistant | reelliot@ucsd.edu | |

Eric Lybrand | Teaching Assistant | APM 6444 | elybrand@ucsd.edu |

Anirudh Ravichandran | Teaching Assistant | APM 5768 | anravich@ucsd.edu |

Xinyi Luo | Teaching Assistant | x5luo@ucsd.edu |

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.

Date | Time | Location | |

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.

Week | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
---|---|---|---|---|---|---|

1 |
Jan 8
1.1 Systems of linear equations |
Jan 9 |
Jan 10
1.2 Row reduction & echelon forms |
Jan 11
Discussion |
Jan 12
1.3 Vector equations |
Jan 13 |

2 |
Jan 15
Martin Luther King Day |
Jan 16 |
Jan 17
1.4 Matrix equation A x = b |
Jan 18
Discussion |
Jan 19
1.5 Solution sets |
Jan 20 |

3 |
Jan 22
1.7 Linear independence |
Jan 23 |
Jan 24
1.8 Linear transformations |
Jan 25
Discussion |
Jan 26
1.9 The matrix of a linear transformation |
Jan 27 |

4 |
Jan 29
2.1 Matrix operations
| Jan 30 |
Jan 31
Catch up & Review
8:00pm-10:00pm |
Feb 1
Discussion |
Feb 2
2.2, 2.3 Inverse of a matrix
Last Day toDrop w/o 'W' |
Feb 3 |

5 |
Feb 5
4.1 Vector spaces and subspaces |
Feb 6 |
Feb 7
4.2 Null spaces & column spaces |
Feb 8
Discussion |
Feb 9
4.3 Linear independent sets; bases |
Feb 10 |

6 |
Feb 12
4.5 Dimension |
Feb 13 |
Feb 14
4.6 Rank 4.4 Coordinate systems |
Feb 15
Discussion |
Feb 16
3.1 Determinants 3.2 Properties of determinants |
Feb 17 |

7 |
Feb 19
Presidents Day |
Feb 20 |
Feb 21
3.3 Determinants and volume |
Feb 22
Discussion |
Feb 23
5.1 Eigenvectors and eigenvalues |
Feb 24 |

8 |
Feb 26
5.2 Characteristic polynomial |
Feb 27 |
Feb 28
Catch up & Review
8:00pm-10:00pm |
Mar 1
Discussion |
Mar 2
5.3 Diagonalization |
Mar 3 |

9 |
Mar 5
6.1, 6.7 Inner product, length, & orthogonality |
Mar 6 |
Mar 7
6.2 Orthogonal sets |
Mar 8
Discussion |
Mar 9
6.3 Orthogonal projections
Last Day toDrop w/o 'F' |
Mar 10 |

10 | Mar 11
6.4 Gram-Schmidt orthogonalization |
Mar 13 |
Mar 14
7.1 Spectral Theorem |
Mar 15
Discussion |
Mar 16
Review |
Mar 17
11:30am-2:30pm |

**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).

- Online homework will be assigned through MyMathLab and will be accessible via TritonEd.
- Unless otherwise stated, you have unlimited attempts at each homework problem.
- Your total homework score will be based on the total possible homework points available; no homework assignment scores will be dropped at the end of the quarter.
Homework should be turned in on time. Extensionsmay be given in some cases with a small window after the deadline, but typically homework turned in after the deadline will score at most 50% of the total points on the assignment.

- The "paper-and-pen" homework assignments will be announced on the course homework page. These assignments will not be turned in and will not be graded; however, you are responsible for the ideas illustrated by these exercises and exam questions could be based on them.

**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.

- It is your responsibility to ensure that you do not have a schedule conflict involving the final examination; you should not enroll in this class if you cannot take the final examination at its scheduled time.
- You may bring
**two**8.5 by 11 inch sheets of paper with handwritten notes (on both sides) with you to the final examination; no other notes (or books) will be allowed. - No calculators, phones, or other electronic devices will be allowed during the final examination.
**There will be no makeup final exam.**

**Administrative Links:** Here are two links regarding UC San Diego policies on exams:

- Exam Responsibilities An outline of the responsibilities of faculty and students with regard to final exams
- Policies on Examinations The Academic Senate policy regarding final examinations (These are the rules!)

**Regrade Policy:**

- Your exams and MATLAB homework will be graded using Gradescope.
You will be able to request a regrade
for a specified window of time. Be sure to make your request within the specified window of time; no regrade requests will be accepted after the deadline.*directly from your TA*

**Administrative Deadline:** Your scores for all graded work will be posted to TritonEd.

- It is your responsibility to check your scores and contact your TA
of the quarter to resolve recording errors.**before the end of the 10**^{th}week - Questions regarding missing or incorrectly recorded scores
.**will not be considered after the last day of instruction**

**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:

A+ |
A |
A- |
B+ |
B |
B- |
C+ |
C |
C- |

97 |
93 |
90 |
87 |
83 |
80 |
77 |
73 |
70 |

**Note:**The above scale is guaranteed: for example, if your cumulative average is 80, your final grade will be*at least*B-. However, your instructor may adjust the above scale to be more generous.

- 10% MATLAB (5% homework and 5% quiz), 10% Homework, 20% Midterm Exam I, 20% Midterm Exam II, 40% Final Exam
- 10% MATLAB (5% homework and 5% quiz), 10% Homework, 20% Best Midterm Exam, 60% Final Exam

**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.

**Entering/exiting class:**Please arrive on time and stay for the entire class/section period. If, despite your best efforts, you arrive late, please enter quietly through the rear door and take a seat near where you entered. Similarly, in the rare event that you must leave early (e.g. for a medical appointment), please sit close to the rear exit and leave as unobtrusively as possible.**Noise and common courtesy:**When class/section begins, please stop your conversations. Wait until class/section is over before putting your materials away in your backpack, standing up, or talking to friends. Do not disturb others by engaging in disruptive behavior. Disruption interferes with the learning environment and impairs the ability of others to focus, participate, and engage.**Electronic devices:**Please do not use devices (such as cell phones, laptops, tablets, iPods) for non-class-related matters while in class/section. No visual or audio recording is allowed in class/section without prior permission of the instructor (whether by camera, cell phone, or other means).**E-mail etiquette:**You are expected to write as you would in any professional correspondence. E-mail communication should be courteous and respectful in manner and tone. Please do not send e-mails that are curt or demanding.

Here are some additional resources for this course, and math courses in general.

- Vocabulary
- Here is a comprehensive list of vocabulary terms, section by section, for this course.

- UCSD Podcasts
- The lectures for this course will be podcast; you can find the audio/video podcasts at the UCSD podcast site.

- Sites with resources for assistance and tutoring
- Teaching + Learning Commons: Supplemental Instruction. These are parallel sessions of peer-instruction (meeting three times per week) to support out lectures. They are open to all students enrolled in the class, free of charge.
- OASIS. The Office of Academic Support & Instructional Services (OASIS) offers weekly workshops to support many undergraduate classes, including Math 18. The workshops supporting this lecture meet on Tuesdays and Thursdays from 4-6pm. For more information, see the OASIS webpage.
- Tutoring Links to information regarding the Teaching and Learning Commons, OASIS, and private tutors.
- Wolfram|Alpha A powerful computational knowledge engine.

- Sites with helpful advice for studying Mathematics
- Interesting sites relating to Mathematics (If you see a Math site you like that's not here, email me the URL.)

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.