Dynamics of the Atmosphere
11:670:324
3 credits

Tuesdays and Fridays, 9:15-10:35 AM
Room 223, ENRS Building, Cook Campus

Prerequisites
Course description
Textbook
Grading
Homework

Exams

Academic Integrity

Attendance
Class schedule
Interesting links

 

Prerequisites

 

11:670:323 Thermodynamics of the Atmosphere

01:640:251 Multivariable Calculus

 

Course Description

Hydrodynamics of the atmosphere. Equations of motion on rotating earth. Vorticity, potential vorticity, and divergence. Boundary layer dynamics.

Textbook

Holton, James R., An Introduction to Dynamic Meteorology, 4th Edition, Elsevier Academic Press, Ansterdam, 535 pp.

This textbook is available for purchase at the Cook-Douglass Cooperative Bookstore.

 

Supplemental Reading: Wallace and Hobbs, Atmospheric Science, 2nd Edition, Elsevier Academic Press, Amsterdam, 483 pp.

Grading

Quiz (mathematical methods, including vector analysis): 10%
Homework problems: 30%
First hourly exam: 20%
Second hourly exam: 20%
Final exam: 20%

Homework

All homework problems will be posted on this web site. Homework assignments are due at the beginning of class exactly one week after they are assigned. I will accept late homework assignments through the beginning of the next class after the due date, but your score will be reduced by 50%. Do not unnecessarily reduce your final grade by turning in your homework assignments late. If you have not turned in your homework by the next class after the due date, you will receive a score of zero for that assignment.

Exams

In cases of serious emergencies or University-sanctioned schedule conflicts, make-up exams will be given if I am notified in advance. Only in cases of serious medical or personal emergencies will a make-up exam be given if I am not notified in advance, and a note from a physician or the Dean's office will be required. Message: Show up and take your exams at their scheduled time!

Academic Integrity

You are required to adhere to the Rutgers University policies on academic integrity, which are available from the Office of Student Judicial Affairs. Specifically, I expect your homework assignments to be your work and your work alone. During exams and quizzes, cell phones, iPods, PDAs, programmable calculators, and other electronic devices are not to be used under any circumstances.

Attendance

Attendance is not taken in this class, although the size of the class makes it very easy for me to notice whether or not you attend. I do not grade on the basis of attendance, but in borderline cases I will not be very sympathetic to students who are frequently absent.

Class schedule

Note: Except for the dates of exams and quizzes, this schedule may change slightly. Adjustments may be made based on our rate of progress through the material.

Date

Topic

Reading

Notes

Homework

January 22

Class cancelled (AMS Annual Meeting)

 

 

 

January 25

Course overview; Review of basic mathematics

 H1.2

PDF

 

January 29

Review of vector analysis

 

PDF

 

February 1

How to solve problems

 web page

sample problems

 

February 5

Quiz

 

 

 

February 8

Fundamental forces

 H1.1 H1.4, W&H 7.2.2

PDF

 

February 12

Fixed vs. rotating frames of reference

H1.5 H2.1, W&H 7.2.1

PDF

Homework #1

February 15

Momentum equation in rotating coordinates

H2.1 H2.2

PDF

 

February 19

Momentum equation in spherical coordinates

H2.3,
W&H 7.2.3

PDF

HW #1 Due

February 22

Classes at Rutgers cancelled (snow)

 

 

 

February 26

Scale analysis of momentum equation;
Hydrostatic and geostrophic approximations

H2.4

PDF

Homework #2

February 29

Hydrostatic equation;
Pressure coordinates

H1.6

PDF

 

March 4

Using GEMPAK to visualize meteorological data

 

Meet in ENR 323

HW #2 Due

March 7

Hourly exam #1

 

Practice Exam

 

March 11

Balanced flow; Natural coordinates

 H3.2.1

PDF

 

March 14

Types of balanced flow

H3.2.2, H3.2.3,
H3.2.4, H3.2.5

PDF

 

March 18, 21

Spring break

 

 

 

March 26

Note change in date
Thermal wind equation;
Barotropic and baroclinic atmospheres

H3.4
W&H7.2.7

PDF

 

March 28

Continuity equation;

Scale analysis of continuity equation

H2.5
W&H7.3.4

PDF

Homework #3

April 1

Application of continuity eq. to vertical motion;

Meaning and calculation of velocity divergence

H3.5

 

 

April 4

Thermodynamic energy equation;
Summary of primitive equations

H2.6
W&H7.3.3

 

 HW #3 Due

April 8

Chaos and numerical weather prediction


 PDF

 

April 11

Hourly exam #2

 

 Practice Exam

 

April 15

Climate change and water resources symposium


 

One-page summary

April 18

Vorticity and its physical interpretation;

H4.2, H4.3

PDF

Summary due

April 22

Potential vorticity; Vorticity equation

H4.4.1 

PDF

 

April 25

Vorticity equation in p-coordinates;
Scale analysis of vorticity equation

H4.4.2

H4.4.3

PDF

April 29

Introduction to turbulence

 

PDF

 

May 2

Introduction to turbulence (cont.)

 

 


HW #4 Due

May 12

Final Exam (8:00-11:00 AM)

 

Study Guide 

 

Interesting links:

Penn State Electronic Map Wall

Overview of math tools and concepts used in atmospheric dynamics (Dr. Kerry Cook, Cornell University)