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.
Our
final exam takes place
on Wednesday, May 16 from 8 - 11 AM. PLEASE GO TO THE CORRECT ROOM BASED ON
YOUR SECTION:
Sections 1-4: Darrin 318
Sections 5-8: Darrin 308
Sections 13,14: Darrin 324
No calculators, books, notes or electronic devices 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 14 points each, covering material
from our first three
exams. You must do 5 of the 6 problems (70 points)
You must indicate on the exam which one of the Part 2 problems you do not want graded!
Thus, the final is worth 100 points just like the other exams.
REVIEW INFORMATION FOR FINAL EXAM:
There will be a review class for the
final on Monday, May 14 from 1 - 3 PM in Darrin 324.
NOTE: Please come to the review class with an
idea of what you'd like to discuss/review. I won't have any
specific problems prepared to discuss, so the value of the review will
be determined by people having prepared
for the exam in advance and identified topics/problems with which they
need help. I would advise looking over
examples from class notes, our first three exams, and homework
problems, in that order.
Prof. Schmidt will also have office
hours on Thursday, May 10 from 10 - 11 AM.
Mike Caiola will also have office
hours: Thursday, May 10, 1-3 PM
Friday, May 11, 12-2 PM,
Monday, May 14, 12-2 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, Tangent Plane and
Differentials (14.3,
14.6)
Chain Rules (14.4)
Directional Derivative and Gradient (14.5)
General Tangent Plane (14.6)
Max/Min Problems for functions of two variables
(14.7)
Iterated Integrals (15.1,15.2)
Iterated Integrals and Area Problems (15.3)
Double Integrals and Volume (15.1, 15.2)
Evaluating Double Integrals via iterated
integration
(15.1,15.2)
Change of Variables: Polar Coordinates (15.4)
Vector Fields: Curl, Divergence,
Conservative Fields (16.3, 16.4)
Line Integrals and Work (16.1,16.2)
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)
Below is
material we've covered
since exam #3:
Course Information:
Sections 5-8.13,14
Course
Policies
Office Hours Information:
Dave Schmidt's Office Hours: Monday 11 AM - 12 PM
(Darrin 239)
Wednesday 4 - 5 PM (Amos Eaton 408)
Thursday 11 AM - 12 PM (Darrin 239)
Recitation
Instructor Office Hours:
Jen Nguyen: T 10-11 AM, F 9-10 AM in
Amos Eaton 316E
Esther Wolff: T 9-11 AM in Amos Eaton 430
Mike Ciaola: M 2-3 PM, W 2:50-3:50 PM in Amos
Eaton 428
Course Resources: