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

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