BT-102 Mathematics I Notes
5 notes for Mathematics I, unit by unit.
Notes for BT-102
- Unit 1 · Short notes Calculus Rolle’s theorem · Mean Value theorems · Expansion of functions by Mc. Laurin’s and Taylor’s for one variable · Taylor’s theorem for function of two variables · Partial Differentiation · Maxima & Minima (two and three variables)
- Unit 2 · Short notes Calculus Definite Integral as a limit of a sum and Its application in summation of series · Beta and Gamma functions and their properties · Applications of definite integrals to evaluate surface areas and volumes of revolutions · Multiple Integral · Change the order of the integration · Applications of multiple integral for calculating area and volumes of the curves
- Unit 3 · Short notes Sequences and series Convergence of sequence and series · Tests for convergence · Power series · Taylor's series · Series for exponential, trigonometric and logarithm functions · Fourier series
- Unit 4 · Short notes Vector Spaces Vector Space · Vector Sub Space · Linear Combination of Vectors · Linearly Dependent · Linearly Independent · Basis of a Vector Space
- Unit 5 · Short notes Matrices Rank of a Matrix · Solution of Simultaneous Linear Equations by Elementary Transformation · Consistency of Equation · Eigen Values and Eigen Vectors · Diagonalization of Matrices · Cayley-Hamilton theorem and its applications to find inverse
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- BT-108 Swachh Bharat Summer Internship (Unnat Bharat Abhiyan, 100 Hrs) / Rural Outreach