Syllabus
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Course Code: IN-BTY-507 Course Name: Biomathematics |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Complex Numbers: Introduction, Operations on complex numbers, Complex conjugate, Modules and argument of complex number and simple examples on it.,.4 DE MOIVRE’S Theorem., Simple examples on above theorem ,th n roots of a complex number and simple examples on it. Matrices: Definition and types of Matrices, Algebra of Matrices (addition, subtraction, scalar multiplication and multiplication of matrices), Examples on operation of Matrices, Inverse of a matrix by a ad joint method, Rank of a Matrix (Definition) and examples, System of Linear equation, Non homogenean, Homogenean with examples, Eigen values and eigen vectors with simple examples |
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| 2 | Differential equation: Definition of ordinary differential equation and degree, order of differential equation Exact differential equation with simple examples, Linear differential equation dy/dx+py =Q method of solution with simple examples. Bernoulli’s differential equation with examples, Application of differential equation i) Growth and decay problems ii) Newton’s law of cooling with examples. Partial differentiation: Introduction, Simple examples on evaluation of partial derivatives, Composite function with examples, Homogenous function (Definition), Euler’s theorem for first and second order., Simple examples on above theorems., Extreme values with examples., Lagrange’s method of undetermined multipliers (with proof), Examples on above method. |
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