Hey as part of my Physics undergrad in second year I have to take a module in either Mathematical Modelling or Linear Algebra (both course descriptions below) In first year I preferred Linear Algebra ( a very basic intro course) but apparently in second year its just all proof and no calculations. My question is, which is most useful to a physicist? Mathematical Modeling: Module Content: Construction, interpretation and application of selected mathematical models arising in chemical kinetics, biology, ecology, epidemiology, medicine, and pharmacokinetics. The mathematical content of the models consists of calculus, linear and non-linear systems of ordinary differential and difference equations. Use of dynamical systems software. Learning Outcomes: On successful completion of this module, students should be able to: · Use coupled system of bilinear differential equations in ecological, epidemiological, chemical and other contexts to model competition, predator-pray and cooperation interactions; · Use coupled system of linear differential equations to model mixing and exchange processes in different contexts; · Use coupled systems of cubic differential equations to model evolution type phenomena; · Carry out global analysis of coupled systems of nonlinear differential equations using techniques such as Lyapunov functions and trap regions; · Solve linear systems of differential equations; · Linearise and classify systems of nonlinear differential equation at equilibrium. Linear Algebra: Module Content: Linear equations and matrices; vector spaces; determinants; linear transformations and eigenvalues; norms and inner products; linear operators and normal forms. Learning Outcomes: On successful completion of this module, students should be able to: · Verify the linearity of mappings on real and complex vector spaces, · and the linear independence of sets of vectors; · Evaluate bases, transition matrices and matrices representing linear transformations; · Compute eigenvalues and eigenvectors of linear operators; · Construct orthonormal bases for vector spaces; · Verify properties of projection mappings, adjoint mappings, self-adjoint operators and isometries.