MA17xexam01pdf

First order linear differential equation

multiplication of matrices

determinant of matrices

conditions on a system of simultaneous equations

partial differentiation

convergence of a sequence

convergence of a series

limits using l'Hopital's rule

exponential form of complex numbers

complex numbers

Laplace transform

first order differential equation

inverse Laplace transforms

odd and even functions

Fourier series

simple probability calculation

permutations

pdf and mean

multiplication and inverses of matrices

second order differential equation

second order differential equation

vectors in 3D

dot product of vectors

dot product of vectors

cross product of vectors

integration of a vector

matrix multiplication

first and second order differential equations

eigenvalues and eigenvectors of a matrix

vector equations of lines and planes, and distance between them

matrices, Gaussian elimination

eigenvalues and eigenvectors of a matrix, and complex number algebra and geometry

Laplace transforms and solving differential equations using them

partial differentiation and Maclaurin's theorem

Fourier series

simple probability

differentiation of vectors