**Course:** Math 18

**Title:** Linear Algebra

**Credit Hours:** 4 (Students may not receive credit for
both Math 18 and Math 31AH.)

**Prerequisite:** Math Placement Exam qualifying score, or
AP Calculus AB score of 2, or SAT II Math 2C 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.

**Textbook:** *Linear Algebra and Its Applications*, fifth
edition, by David C. Lay; published by Pearson (Addison Wesley).
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.

**Subject Material:** We shall cover parts of Chapters 1-6 of
the text.

**Reading Assignments:** Reading and doing the
examples in the sections of the textbook corresponding to our discussions
in lecture will help you learn and understand the course material
better. If you work through the relevant examples in the book before
you start
your homework problems, you will probably solve the homework problems
more easily and perform better on your exams than if you do not do the
reading. Your reading assignments are on the course calendar; for example, 1.2 is written on
January 7,
so your
assignment is to read section 1.2 before our class meeting that day.

**TritonEd and 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 online homework. Here are the steps to access your online
course materials for the first time:

- Sign into TritonEd and enter your Math 18 course.
- Click "MyMathLab" at the top of the main menu column on the left.
- Click the "MyMathLab with Pearson eText Course Home". The first time you click this link, you will be prompted to create an account with Pearson, and then you will have three choices: enter an access code (that you have already purchased) OR purchase an access code OR use the free fourteen day trial period.

**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 and
written homework.

- Online homework will be assigned through MyMathLab and will be
accessible via TritonEd, as
indicated above. Note:
- No homework scores will be dropped at the end of the quarter.
- (Late Homework) Online homework problems may be completed up to 24 hours after the due date; however, there is a late penalty of 20%. This penalty is applied only to the problems which are submitted late, and not to the entire assignment.

- The written homework assignments are on the written homework page of the course website.

**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, including due
dates. You can do the homework on any campus computer that has
MATLAB, and you can also make use of UCSD's MATLAB site license to
install MATLAB on your own computer by visiting the MATLAB for UCSD Students
page. 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
upload your MATLAB homework assignments to Gradescope by the due date according to the
instructions
found on the Math 18 MATLAB
Assignments page. Note:

- Late MATLAB homework will not be accepted, and since we are only doing four of the five assignments, no MATLAB homework scores will be dropped.
- There will be a MATLAB quiz at the end of the quarter.

**Electronic Computing Devices:** Graphing calculators
and
computer programs (or online
computing websites such as Wolfram
Alpha) can be very
helpful when
working through your
homework. However, a calculator/computer should be used as an
aid
in the learning concepts, not just as
a means of
computation. You should use these devices when working on math
problems at home, but always keep in
mind that **you will
not be allowed access to any electronic computing devices during exams or
quizzes**. Of course, this also
means that you
will not be asked to solve problems on exams or quizzes that require the
aid
of an electronic computing device.

**Homework Help:** You can get help with the
homework assignments in the Calculus
Tutoring
Lab at the Teaching and Learning Commons.

**Homework Help (Piazza):** Piazza is an online discussion
forum that allows you
to ask questions using
mathematical symbols and expressions. Piazza was designed to
enable you to get help quickly and
efficiently from
classmates, TAs, and instructors. Rather than emailing
questions
to the teaching staff, you are
encouraged to post your
questions
on Piazza. Find
our class page at: https://piazza.com/ucsd/winter2019/math18. If
you have any problems or feedback for the developers, email team@piazza.com.

**Quizzes:** There will be two in-class quizzes; see
the Course Calendar for the specific
dates. Please note:

- There will be no makeup or rescheduling of quizzes.
- No notes, books, or calculators will be allowed during the quizzes.

**Midterm Exam:** There will be one midterm examination, see the Course
Calendar for the specific date. Please note:

- There will be no makeup or rescheduling of the midterm exam, so make sure that you do not have a schedule conflict.
- You may bring one 8.5 by 11 inch sheet of notes with you to the midterm exam (handwritten, front and back OK).
- No calculators will be allowed during the midterm exam.

**Final Exam:** The final exam will be held
from 8:00am-11:00am on Saturday, March 16. Please note:

- It is your responsibility to ensure that you do not have a schedule conflict involving the final exam; you should not enroll in this class if you cannot sit for the final examination at its scheduled time.
- You may bring one 8.5 by 11 inch sheet of notes with you to the final exam (handwritten, front and back OK).
- No calculators will be allowed during the final exam.
- You must pass the final examination in order to pass the course.

**Grades:**
Your cumulative average will be the **best** of the following three
weighted averages:

- 2% Matlab Homework or Matlab Quiz (whichever is higher), 6.5% Online Homework, 6.5% Written Homework, 10% Quiz 1, 10% Quiz 2, 30% Midterm Exam, 35% Final Exam
- 2% Matlab Homework or Matlab Quiz (whichever is higher), 6.5% Online Homework, 6.5% Written Homework, 15% Best Quiz, 35% Midterm Exam, 35% Final Exam
- 2% Matlab Homework or Matlab Quiz (whichever is higher), 6.5% Online Homework, 6.5% Written Homework, 20% Quiz 1, 20% Quiz 2, 45% Final Exam

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

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

We may adjust the above scale to be more lenient (depending on the overall class performance), but we guarantee that we will not adjust the scale to make it harder to get a better grade. Please note:

**Gradescope:** You will submit your written and Matlab homework
using an online tool called Gradescope (https://gradescope.com/). Exams and quizzes
will also be scanned and uploaded to Gradescope and will be graded
within
it. As a consequence, exams will not be returned to the
students. Instead, a digital version of your exams will be made
available
after
the grading has been completed. An email will be sent from
Gradescope when the exams are made available.

**Regrades:** Regrade requests
can be made using the built-in regrade request feature in
Gradescope. The regrade request feature will be available for forty-eight hours after the exam/homework
grades are published; after that, it
will not be possible to request a regrade.

**Suggestions:** Below are some
suggestions that we hope will help you to
succeed in this
course:

- Spend sufficient time on the course. According to the policy of UCSD's Academic Senate, "The value of a course in units...shall be reckoned at the rate of one unit for three hours' work per week per quarter on the part of the student." Since this course is worth 4 credits, you should be willing to spend about 12 hours per week on the course.
- Keep up with the homework and do not miss a homework assignment. Missing an online homework assignment will hurt your grade because no online homework scores will be dropped. This policy is designed to encourage students to complete all the assignments and reward those who do.
- Get started on the homework assignments early. This will enable you to make the most of your discussion section time by coming prepared with specific questions.
- Think about mathematics every day.

**Academic Dishonesty:** Academic dishonesty is
considered
a serious offense at
UCSD. Students caught cheating will face an administrative
sanction which may include
suspension or expulsion from the university. It is in your best
interest to maintain
your integrity. (Click
here
for more
information.)