Linear Algebra and Multivariable Calculus are two of the
widely used mathematical tools across all scientific disciplines. This
course seeks to develop background in both and highlight the ways in
which multivariable calculus can be naturally understood in terms of
This course assumes a strong understanding of
differential calculus of one variable, as taught in the Math 41-42
series (or equivalent). For the linear algebra portion, we will start
from the beginning and build up all concepts in lectures. However,
this course is packed with information and moves very
quickly. Students who are somewhat unsure of their mathematics
background may want to consider courses in the 40 series. In
particular, students missing the equivalent of Math 42 may find the
portions of Math 51 that demand deeper conceptual understanding to be
more difficult than those who have the experience of a full year of
college-level calculus. (Students having quite a lot of experience
with mathematical proof and who are looking for a more theoretical
course may want to try Math 51H.)
For a detailed syllabus see
the Syllabus page.
Math 51 students attend lectures on MWF and discussion sections on TTh.
After you have enrolled in a MWF lecture on
Axess, you need
to enroll in a TTh section corresponding to your particular lecture in Coursework.
Please note that you will only receive credit for work turned into your discussion section leader.
You should be
able to join discussion sections after 5 p.m. on the first day of
class (September 23).
After logging into Coursework, select your Fall13-MATH-51 site. (You will automatically be a member as long as you've been registered for a lecture via Axess for about 24 hours.)
Select the Section Info page on the Math 51 site and join any one of the sections corresponding to the lecture section you are already registered for. The
lecture/discussion section correspondences may be found here. If you register for a discussion
section that does not correspond to lecture section, your registration
will be removed, so please be careful!
If for some reason you are
unable to log onto CourseWork, please select a discussion section
corresponding to the lectures you attend according to the table
here, and we'll straighten out your CourseWork
The linear algebra text
should be available at the campus bookstore. If you have problems
finding it, please contact your
instructor. The Licata textbook will be available as a printed
course reader from the bookstore; this text won't be used until the
second half of the class.
- Linear Algebra, by
Levandosky - Errata
- Differential Vector Calculus, by Licata
Calculators are neither required nor recommended for Math 51.
There will be two midterm exams and a final
check the exam policy.
There will be
weekly homework assignments. Homework
be turned in to your TA.
Homework is generally due on Thursdays; see the syllabus for the homework due dates and see the homework policy for the precise homework submission procedure. Late homework will
not be accepted.
Please respect the honor code, write legibly, and never
forget to put
your name, your section number and your TA's name on the top of your
work. Although you are encouraged to discuss homework problems with
your classmates, you have to turn in your own work based on your own
Homework papers should be written up independently.
see homework policy for more
Grades will be based on the following percentages.
You are encouraged to attend the office hours provided by the instructors and teaching assistants. You
may attend the office hours of any instructor or