# Course Syllabus

## (ATM S 441/503, Autumn 2018)

• Office hour: Tu/W 11:30-12:30pm (ATG 608)
• PrerequisitesAMATH 353 or MATH 309; MATH 324 or equivalents.
• Purpose of the course: Develop an understanding of why large-scale midlatitude weather systems behave as they do. As an example we might consider a simple question; why does the wind blow almost parallel to the height contours on a 500-mb map?
• TextbookHolton, J. R., and G. Hakim, 2013: An Introduction to Dynamic Meteorology (5th Ed.).
• ContentCourse will include lectures, quizes and homeworks. Homeworks will consist of problems similar to those in the text. [NOTE: Graduate students registered for ATM S 503 will attend the 441 but may have additional problem assignments and will be graded separately from the undergraduates registered for 441]
• Course Outline (subject to change at any time)

I. Introduction: Fundamental forces, rotating coordinates, Coriolis force, atmospheric statics.

II. Basic conservation laws: Momentum equation, continuity equation, thermodynamic energy equation, scale analysis.

III. Elementary applications of the basic equations: Isobaric coordinates, geostrophic flow, intertial flow, cyclostrophic flow, gradient wind, thermal wind, vertical motion.

IV. Circulation, vorticity, and potential vorticity: Circulation theorem, vorticity, potential vorticity, barotropic vorticity equation.

V. Atmospheric oscillations: Linear perturbation theory, basic properties of waves, linear waves.

Homework: 30%
Quiz: 30%
Exams: 30%
Participation: 10%

• Note: No makeup tests will be provided unless the absence is excused in advance.
• Class overview
 Week Course material Reading/Reference 1 09/26: Course introduction (slides)09/28: Math essentials (handout), Equations of motion (handout) Introduction to Dynamic Meteorology Holton and Hakim, Ch. 1.1 2 10/01: Fundamental forces (handout)10/03: Apparent forces I (handout)10/05: Apparent forces II Fundamental forces Holton and Hakim, Ch. 1.2 Apparent forces Holton and Hakim, Ch. 1.3 3 10/08: Hypsometric equation (handout)10/10: Scale analysis of the equations of motion (handout)10/12: Geostrophic and hydrostatic balance Hypsometric equation Holton and Hakim, Ch. 1.4.1 Scale analysis Holton and Hakim, Ch. 1.6 Scale analysis of the equations of motion Holton and Hakim, Ch. 2.4 4 10/15: Continuity equation (handout)10/17: Quiz I10/19: Thermodynamic energy equation I (handout) Continuity equation Holton and Hakim, Ch. 2.6 Thermodynamic energy equation Holton and Hakim, Ch. 2.7 5 10/22: Thermodynamic energy equation II (handout)10/24: Basic equations in pressure coordinate (handout)10/26: Natural coordinate (handout) Basic equations in isobaric coordinates Holton and Hakim, Ch. 3.1 6 10/29: Natural coordinate II, Balanced flow (handout)10/31: Quiz II 11/02: Balanced flow II (handout) Balanced flow Holton and Hakim, Ch. 3.2 7 11/05: Thermal wind (handout)11/07: Mid-term 11/09: Mid-term discussion Thermal wind Holton and Hakim, Ch. 3.4 Vorticity Holton and Hakim, Ch. 4.2 8 11/12: No class (Veteran's day)11/14: Vorticity and vorticity equation (handout) 11/16: Circulation (handout) The circulation theorem Holton and Hakim, Ch. 4.1 Vorticity equation Holton and Hakim, Ch. 4.3 9 11/19: Potential vorticity (handout)11/21: Shallow water equation (handout) 11/23: No class (Thanksgiving day) Potential vorticity Holton and Hakim, Ch. 4.4 Shallow water equations Holton and Hakim, Ch. 4.5 10 11/26: Quiz III11/28: Rossby waves (handout)11/30: Rossby waves II (handout) Rossby waves Holton and Hakim, Ch. 5.7 The perturbation method Holton and Hakim, Ch. 5.1 Free barotropic Rossby waves Holton and Hakim, Ch. 5.7.1 11 12/03: Shallow water gravity waves (handout)12/05: Quiz IV12/07: Class review Shallow water waves Holton and Hakim, Ch. 5.3.2

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