Math 483
Mathematical Modeling
Spring
2013: Introduction to Climate Modeling
Math 483 is a course regularly offered by the CSUN math department in
mathematical modeling with varying themes and topics. For the
Spring 2013 semester, this course will
be cotaught by Cristina Cadavid (Physics & Astronomy dept) and
David
Klein (Mathematics dept) and will introduce students to global climate
modeling. Climate science is a rapidly expanding,
interdisciplinary field, with increasing participlation by
applied mathematicians.
The focus of the course will be on atmospheric dynamics.
Fundamental equations governing atmospheric motion will be derived,
analyzed, and used to model various scenarios. The first major
topic will be the study of the Lorenz dynamical system. The
Lorenz equations constitute a greatly simplified model of atmospheric
dynamics, but still exhibit chaotic behavior and illustrate a general
relationship between weather and climate. Students will be
exposed to the theoretical foundations and be given programming
experience with this dynamical system.
Following that, we will derive a dynamical model of land and sea breeze
that takes into account effects of lattitudedependent coroilis
forces. The third project will be to model a two dimensional
"aquaplanet", i.e., a planet with oceans but no land. The final
topic will be full scale global climate models based on eduational
software, EdGCM
(Eduational Global Climate Model). This software will be provided
in the computer lab for the course, but can also be purchased by
students.
Class
Meetings 
Mondays & Wednesdays, 11:00
to 12:15 p.m., Chaparral Hall 5117
For computer lab meetings: Live Oak 1322 and Citrus Hall 3320

Prerequisites

Math 340 & 351, or
Permission of the Instructors

Grading 
There will be
two midterm exams, each worth 20%, and a final exam worth 30% of the
grade. Homework and projects will constitute 30% of the
grade.
Plus
grades (+) and minus grades (–) will be assigned for this
course. The date of the midterms will be announced in
class. 5 bonus points may be earned for each Climate Seminar
presentation attended.
Final Exam: Wednesday, May 15, 2013, 10:15
to 12:15 p.m.

Textbook
& Software

An
Introduction to Atmospheric Physics, Second Edition (2010) by David
G. Andrews. This will serve primarily as a reference for the
lectures. Matlab, the software EdGCM, and other packages will
be provided in the computer lab for the course.

Instructor Information

David
Klein
Santa Susana Hall, Room 127
Phone:
(818) 6777792
email: david.klein@csun.edu,
web page: www.csun.edu/~vcmth00m
Office Hours: MW 12:30 to 1:30 p.m. & by Appointment
Cristina
Cadavid
Eucalyptus Hall, Room 2105
Phone:
(818) 677 2171
email: ana.cadavid@csun.edu
Office Hours: M 22:50, Th 1112 & by Appointment

Powerpoints and Other Resources
from Lectures
Computer Resources
Additional References
Elementary
Climate Physics, by F.W. Taylor
Fundamentals of Atmospheric Physics,
by M.L. Salby
An Introduction to Dynamic Meteorology,
by James Holton
General Resources
Exams and Homework Assignments
Assignment 1: click here to download pdf file.
Due Wed, Feb. 6
Assignment 2: click here to
download pdf file.
Due Mon, Feb. 18
Assignment 3: click here
to
download pdf file.
Due Wed, Feb. 27
Assignment 4: click here
to
download pdf file.
Due Mon, March 4
Assignment 5: click here
to
download pdf file.
Due Wed, March 13
Assignment 6: click here
to
download pdf file.
Due Wed, March 13
Exam 1: March 18
Assignment 7: click here
to
download pdf file.
Due Mon, March 25
Assignment 8: Read Chapters 13 of Prof. Fovell's AOS
180 notes
Assignment 9: Watch the video, Laboratory
Demonstrations of PlanetaryStyle Fluid Dynamics, before the April
3 class meeting. Solve Problem 4.4 on pg 115 of Andrews (reference
text). Due Mon, April 15
Assignment 10: click here
to
download pdf file.
Due Mon, April 15
Assignment 11: Read April 14
notes on the seabreeze and click here for
the assignment. Due April 22.
Assignment 12: Read EdGCM
workbook. Scroll down to: "EdGCM Exercise: Modern Control
Runs and Global Warming" at the end of the booklet. Follow the
stepbystep instructions, and run the scenarios indicated.
Produce on your own and turn in the same graphical output described in
that section (but you can use different colors or scales). Note:
Video tutorials and instruction manuals are available here: EdGCM
documentation. Due May 1.
Instead
of an Exam 2, you will be asked to give (with a partner) a 15 minute
powerpoint presentation (to be discussed further in class)
Climate Fellowship Opportunities
CSUN Climate Science Program's JPL Summer
Fellowships