USYD

Semester 1, 2015


MATH2961 LINEAR MATHEMATICS AND VECTOR CALCULUS ADVANCED LECTURE NOTES TYPED

76 pages

2,678 words

$34.00

1

Description

Typed lecture notes using word equation editor

Topic:
Vector Calc: functions of many variables, tangent planes and surfaces, gradient/divergence/curl, hessian matrix, maximum and minimum of surfaces, level sets, taylor polynomials, multiple integrals, jacobian matrix, polar/ rectangular/ cylindrical/ spherical coordinates, line integrals, surface integrals, divergence/stokes/greens theorem, potentials.

Linear algebra
- field axioms, vector spaces, span, linear combinations, basis, kernel, image, isomorphisms, column and null space, orthogonalisation, operators, inner products, norms.