Syllabus for Math 531
Professor, Mathematical Biology
|Lectures: MW 14:00-15:15 in GMCS 325
||Office phone: 619-594-3743
Office Hours: MW 13-13:50,
|Office location: GMCS 593
Prerequisites: Math 252 and 337
Applied Partial Differential Equations (with Fourier Series and Boundary Value Problems). Pearson 2013.
Course Catalog Description: Boundary value problems for heat and wave equations: eigenfunctionexpansions, Surm-Liouville theory and Fourier series. D'Alembert's solution to wave equation; characteristic. Laplace's equation, maximum principle, Bessel's functions.
Math 252, 254, and 337 (or equivalent)
- Math 252: Calculus III
- Series and Integration of Trigonometric Functions
- Vectors, Partial derivatives, and Gradients
- Divergence Theorem or Gauss's Theorem
- Multivariable Integration
- Math 254: Linear Algebra
Math 337: Ordinary Differential Equations
- Linear Independence
- Existence and Uniqueness of Solutions of ODEs
- Solutions of Second Order Linear Differential Equations
- Solving Non-homogeneous ODEs
- Series Solutions of ODEs
- Laplace Transforms for Solving ODEs
Student Learning Outcomes:
At the end of this course students will be able to:
- Connect significant physical problems with PDEs
- Learn tools for solving PDEs, including visualization through programming
- Manage the methods and details for large multi-step problems
- Explore decomposition of continuous functions with Fourier series
- Develop intuition for extending finite dimensional vector spaces (254/524) to infinite dimensions
- Appreciate the complexities and varied techniques for PDEs
- Use MatLab and Maple software to study the
dynamics of a variety of applications.
Course Objectives and
Expectations on Students:
This course is a 3 unit course designed for students who
are majoring in mathematics
and ones in the applied sciences. This course is very important for students specializing in dynamical systems.
More to follow.
Scope and Purpose of the Course:
The scope and purpose of this course is being developed.
Details of the course and timelines are
available on the HW
- Homework assignments, including WeBWorK (40%)
- 2 Midterms (40%) (most likely a Take-Home exams only)
- Final (20%) (most likely a Take-Home final)
Accommodation Of Disability: Students with disabilities who may need academic
accommodations should notify the professor in writing
within the first two weeks of instruction. Students need
appropriate forms aproved by SDS (Calpulli Center, Suite
3101). All information will be kept confidential. Students
that need evacuation assistance during campus emergencies
should also meet with the instructor as soon as possible
to assure the health and safety of all students. If you
encounter a problem accessing anything in this course,
please contact me as soon as possible.
Classroom Behavior And Student
Code Of Conduct
Other Course Policies
- It is expected that students will conduct themselves
within the standards outlined in the student code of
disciplinary procedure and student due process.
Disciplinary action will be taken by the instructor as
necessary. See more information at the SDSU
Student Ethical & Civic Responsibility Code.
- Students are expected to come to class in a timely
manner, prepared for the day’s work. Full participation
for the entire
class period in activities, class exercises and
discussions is required.
- Please turn off all cell phones,
pagers, etc. You will be released from class with an
unexcused absence for making or accepting telephone
calls or text messages in the classroom.
- It is the student’s responsibility to make up missed
material. This includes, but is not limited to,
obtaining missed lecture notes from another student (not
from the instructor), and finding out about any
modifications of schedules or assignments announced
during class time.
- WeBWorK assignments are posted with a
specific due date. It is the student’s responsibility to
complete the assignment on time.
- Academic dishonesty will result in a
grade of zero for the assignment and will be reported to
Academic Affairs. It may result in further disciplinary
action. Academic dishonesty includes, but is not limited
to, cheating, which includes unauthorized collaboration
- Missed Exams: Students will receive a
ZERO for any missed exam, except for written/documented
excuses (illness, personal/family crises, etc.).
- Even the visual presence of a Cell Phone during an Exam will result in a ZERO for that Exam.
- The instructor will make special arrangements for
students with documented learning disabilities and will
try to make accommodations for other unforeseen
circumstances, e.g., illness, personal/family
crises, etc. in a way that is fair to all students
enrolled in the class. Please contact the instructor
EARLY regarding special circumstances.
- Students are expected and encouraged to ask questions
- Students are expected and encouraged to make use of
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