Engineering Mathematics-I detailed syllabus for Common to All (Common to All) for 2021-22 regulation curriculum has been taken from the Rajasthan Technical University official website and presented for the common to all students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.
For Common to All 1st Sem scheme and its subjects, do visit Common to All 1st Sem 2021-22 regulation scheme. The detailed syllabus of engineering mathematics-i is as follows.
Sn Contents
- Calculus: Improper integrals (Beta and Gamma functions) and their properties; Applications of definite integrals to evaluate surface areas and volumes of revolutions.
- 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: Periodic functions, Fourier series, Euler’s formula, Change of intervals, Half range sine and cosine series, Parseval’s theorem.
- Multivariable Calculus (Differentiation): Limit, continuity and partial derivatives, directional derivatives, total derivative; Tangent plane and normal line; Maxima, minima and saddle points; Method of Lagrange multipliers; Gradient, curl and divergence.
- Multivariable Calculus (Integration): Multiple Integration: Double integrals (Cartesian), change of order of integration in double integrals, Change of variables (Cartesian to polar), Applications: areas and volumes, Centre of mass and Gravity (constant and variable densities); Triple integrals (Cartesian), Simple applications involving cubes, sphere and rectangular parallelepipeds; Scalar line integrals, vector line integrals, scalar surface integrals, vector surface integrals, Theorems of Green, Gauss and Stokes.
For detailed syllabus of all other subjects of Common to All, 2021-22 regulation curriculum do visit Common to All 1st Sem subject syllabuses for 2021-22 regulation.
For all Common to All results, visit Rajasthan Technical University common to all all semester results direct link.