Welcome to Multivariable Calculus
and Matrix Algebra. The purpose of this page is to make certain
resources
available and keep you up to date
with everything going on in the course.
FINAL EXAM INFORMATION:
Our
final exam takes place
on Thursday, December 13 from 11:30 AM - 2:30 PM in Darrin 308.
It is required for everyone.
No calculators, books or notes are permitted in the exam.
The final exam will consist of two parts:
Part 1 will contain 2 problems, worth 15 points each, covering
the
material we discussed
AFTER Exam #3. You must solve BOTH of these problems (30 points)
Part 2 will contain 6 problems, worth 15 points each, covering material
from our first three
exams. You must do 5 of the 6 problems (75 points)
NOTE: Although section 3.6 was discussed after exam #3, it will appear
only on part 2 of
the final exam!
You must indicate on the exam which one of the Part 2 problems you do not want graded!
Thus, the final is worth 105 points just like the other exams.
PRACTICE PROBLEMS AND REVIEW INFORMATION FOR FINAL EXAM:
There will be a review class for the
final on Wednesday,
December 12 from 12 - 2 PM in Darrin 324.
Here are some practice
problems .
** Please note that these practice
problems are NOT intended
to be exhaustive of all the material
covered on the
exam.
You should look over ALL course materials (old exams, old practice
problems, notes,
etc.)
in preparing for the final exam.
Prof. Schmidt will also have office
hours on Tuesday,
December 11 from 12 - 1 PM.
Here is a summary of all of the topics
that may be covered
on the final exam (in the order the material
was discussed):
Functions of Several Variables and
level curves (14.1)
Partial Derivatives and Tangent Plane (14.3,
14.4)
Chain Rules (14.5)
Directional Derivative and Gradient (14.6)
General Tangent Plane (14.6)
Max/Min Problems for functions of two variables
(14.7)
Iterated Integrals (15.2)
Double Integrals and Volume (15.1, 15.3)
Evaluating Double Integrals via iterated
integration
(15.3)
Change of Variables: Polar Coordinates (15.4)
Vector Fields: Curl, Divergence,
Conservative Fields (16.1, 16.5)
Line Integrals and Work (16.2)
Conservative Vector Fields and Path Independence
(16.3)
Fundamental Theorem of Line Integrals (16.3)
Green's Theorem (16.4)
Matrices and Systems of Equations (1.1)
Echelon Forms and Gauss-Jordan Elimination (1.2)
Consistent Systems (1.3)
Matrix Operations (1.5)
Identity Matrix and Transpose (1.6)
Linear Independence and Non-Singularity (1.7)
Matrix Inverse and Properties (1.9)
Vector Space R_n and subspaces (3.2)
Span, Nullspace, Range, Rowspace (3.3)
Basis and Coordinates (3.4)
Dimension; rank, nullity (3.5)
Orthogonal Bases: Gram-Schmidt Procedure (3.6)
NOTE: Although
section 3.6 was discussed
after exam #3, it will appear only
on part 2 of the final
exam!
Below is material we've covered since exam #3:
Eigenvalues and Eigenvectors; 2 x 2 and 3 x 3 Determinants (4.1, 4.4)QUIZ INFORMATION:
The following are the dates of our
quizes for the remainder of the semester. Your recitation instructor
will announce the coverage of
each quiz during the previous recitation class.
QUIZ #1: Friday, August 31
QUIZ #2: Friday, September 7
QUIZ #3: Friday, September 14
QUIZ #4: Friday, September 21
QUIZ #5: Friday, October 26
QUIZ #6: Friday, November 2
QUIZ #7: Friday, November 9
QUIZ #8: Tuesday, December 4
Course
Information
Course
Policies
Office Hours Information:
Dave Schmidt's Office Hours (Amos Eaton 408):
Monday
and Wednesday 12:30 - 1:30 PM, Thursday 9:30 - 10:30 AM
Recitation
Instructor Office Hours: Yi Fang:
Tuesday and Friday, 4 - 5 PM, Amos Eaton 424
Brian Ryals: Tuesday 10 - 11 AM, 4 - 5 PM,
Friday 10 - 11 AM, Amos Eaton 430
Course Resources: