Linear Algebra continued: Inner products and Orthogonality; Determinants; Eigenvalues and Eigenvectors; Diagonalisation of Symmetric matrices. Multivariable calculus: Functions on $R^n$
Partial and Total derivatives; Chain rule; Maxima, minima and saddles; Lagrange multipliers; Integration in $R^n$, change of variables, Fubini's theorem; Gradient, Divergence and Curl; Line and Surface integrals in $R^2$ and $R^3$ ; Stokes, Green's and Divergence theorems.
Introduction to Ordinary Differential Equations; Linear ODEs and Canonical forms for linear transformations.
Assignments will be posted roughly once a week.
The syllabus for the finale examination will be the material covered in all the lectures on the course. The questions will be based on the topics after linear algebra, but...
The syllabus for the midterm examination will be the material covered in lectures up to February 9, 2018 (including the lecture on this day). This roughly corresponds to the following...
Tutorial sessions will begin on Monday, 8/01/2018.