Homework for Tuesday February 14: read the notes on complex variables and do all exercises therein.

Answers to homework for Tuesday January 24th.

Vector calculus and differential equations review homework, due January 20tth.

HIGHLY RECOMMENDED: For supplementary reading on subscript notation and vector conservation laws / momentum conservation, see Mase, Continuum Mechanics, chapters on Mathematical Foundations, Analysis of Stress, Motion and Flow and Fundamental Laws of Continuum Mechanics (chapters 1, 2, 4 and 5).

For supplementary reading on vector conservation laws / momentum conservation, see Turcotte and Schubert, Geodynamics, chapter 2.

For supplementary reading on nondimensionalization, see Middleton and Wilcox, Mechanics in the Earth and Environmental Sciences, chapter 3.

For supplementary reading on similarity solutions, see Turcotte and Schubert, Geodynamics, chapter 4, especially section 4.15.

For supplementary reading on temperature waves, see Turcotte and Schubert, Geodynamics, chapter 4, especially section 4.14.

Galerkin solver for porous medium convection problem.

EOS 352 notes on convection in porous media.

EOS 352 notes on scalars, vectors and tensors.

EOS 352 Angular momentum conservation notes.Flux and surface integrals lecture notes.Density and volume integrals lecture notes.Time permitting, an introduction to convection.The stress tensor and conservation of linear and angular momentum.Continuum mechanics: extending scalar continuum physics to vectors.Length scales, non-dimensionalization and dimensionless parameters.Methods: steady states, similarity and wave solutions for the heat equation.Partial differential equations as continuum physics models.Conservation laws and the divergence theorem.Transport of conserved quantities: fluxes.Mathematical tools: volume and surface integrals, gradients and divergences.I may make this a by-appointment office hour if there is little regular uptake. Contact me if you can't make this but need to see me. Wednesday 2-3 pm, Canvas Collaboarte Ultra Course Room. No marks for late assignments without a good reason They will be due at the end of class on the date indicated below (which I will generally try to make a Thursday). I expect to set 4-5 assignments in this course.

Some of the material in Turcotte and Schubert goes beyond the present course. The text by Turcotte and Schubert also gives an abbreviated introduction, and applies continuum mechanics to real Earth Sciences problems. I highly recommend the text by Mase as it gives a very succinct description of the basic concepts and the mathematics involved. Mase in the McGraw Hill Schaum Outline Series. Required: course lecture notes (see below)

Geodynamics turcotte problem solutions