EOSC 250 · Fields and Fluxes

Application of classical theory of scalar and vector fields to geophysical sciences. Conductive, convective and radiative energy flux, gravitation, electrostatics, and magnetostatics. Gauss' and Stokes' theorems.
Syllabus
Instructors
Christian Schoof
TA Tyler Petillion
Textbook
Required: online course notes (see below)
Suggested
- Div, Grad, Curl and all That, H.M. Schey, Norton & Co., 1997.
- Vector Analysis, M.R. Spiegel, Schaum's Outline Series, McGraw-Hill, 1959.
- A multivariable calculus book (e.g. Stewart, Adams or Marsden & Tromba)
- A differential equations text (e.g. Boyce and DiPrima)
Course Content
Division of marks:
Assignments - 40%
Quizzes/Homework/Class participation - 10%
Midterm exam- 10%
Final exam- 40%
Mid-Term Examination - tbd
Assignments:
I expect to set 4 to 6 assignments in this course. They will be set on Fridays and wil be due at the end of class on the following Friday. No marks for late assignments.
Office hours
Wednesday 2-3 pm. Contact me in advance if you can't make this but need to see me.
Lecture notes:
- Mathematical prerequisites and background
- Calculus lecture notes
- Differential equations lecture notes
- Density and volume integrals lecture notes
- Flux and surface integrals lecture notes
- Divergence theorem notes
- Conservation of enegry lecture notes
- Heat flux and gradient lecture notes
- Heat equation notes
- Line integrals notes
- Additional reading on volume integrals: Schaum notes p 99 onwards
- Additional reading on surface integrals: Schaum notes p 94 onwards, div grad curl chapter 2
- Additional reading on vectors: Schaum notes chapters 1 and 2
- Additional reading on the divergence theorem: Schaum notes p106-127, div grad curl chapter 2
Course information, practice exams etc.:
- course information sheet
- Exam equation sheet
- Calculus and vectors practice quiz
- Calculus and vectors quiz - answers
- 2016 midterm
- 2016 final
- 2016 final answers
Midterm:
Homework:
- math background quiz, due Monday January 15th
- Homework 1 answers
- Homework 2 answers
- Answers to exercises 2,3 of the notes on volume integrals and exercise 6 of the notes on surface integrals
Assignments: