B.Tech. Agricultural Engineering · Semester 3

Engineering Mathematics - I

AS3.1 Applied Sciences

Syllabus lecture plan

1. 01Exact and Bernoulli's Differential equations, Equations, Reducible Lectures to exact form by integrating factors, equations of first order and higher degree, Clairaut's equation
2. 02Differential equations of higher orders, Methods of finding
3. 03Cauchy's and Legendre's linear equation, Simultaneous linear differential equations with constant coefficients
4. 04Functions of two or more variables, Taylor's and Maclaurin's expansions, Maxima and minima
5. 05Partial derivatives and total derivatives, Homogeneous function and
6. 06Higher order linear PDE With constant coefficients, Solution of non- linear PDE, Charpit's method
7. 08Elementary transformations, rank of a matrix, solution of linear
8. 09Gauss-Jordan method to find the inverse of a matrix
9. 10Eigen values and Eigen vectors, Cayley- Hamilton Theorem- it's use 4 to find inverse of the matrix

Part of the B.Tech. Agricultural Engineering curriculum (ICAR recommendations). Upload or find notes, previous-year papers and quick-revision reels for each lecture on theciae.