List of Topics (M 1)

Unit 1 i Rank of a Matrix

Unit 1 ii System of Linear Equations

Unit 1 iii Eigenvalues and Eigenvectors

Unit 2 i Complex Numbers

Unit 2 ii Hyperbolic Functions and Logs of Complex Numbers

Unit 3 i Infinite Series

Unit 3 ii Successive Differentiation

Unit 4 i Taylor and Maclaurin Series

Unit 4 ii Indeterminate Forms

Unit 5 Partial Differentiation

Unit 6 i Jacobians

Unit 6 ii Errors and Approximations

Unit 6 iii Maxima, Minima of Multivariable Functions

Unit 6 iv Lagrange’s Method of Undetermined Multipliers