JNTUH B.tech M1 Syllabus R18 2021September 8, 2021 2021-09-26 19:29
JNTUH B.tech M1 Syllabus R18 2021
JNTUH B.tech M1 Syllabus R18 2021
JNTUH B.tech M1 Syllabus R18 2021 along with Course Objectives and Course outcome and list of textbook and reference books is mentioned in this blog. The subject of Mathematics 1 has 8 units in total. Topic and sub-topics of Mathematics 1 are mentioned below in detail. If you have any problem in understanding Mathematics 1 or any other Engineering Subject in any semester or in any year then you can view the video lectures on the official CynoHub app.
JNTUH B.tech M1 Syllabus R18 2021 Unit - 1:
Sequences – Series
Basic definitions of Sequences and series – Convergences and divergence – Ratio test – Comparison test– Integral test – Cauchy’s root test – Raabe’s test – Absolute and conditional convergence.
JNTUH B.tech M1 Syllabus R18 2021 Unit - 2:
Functions of Single Variable
Rolle’s Theorem – Lagrange’s Mean Value Theorem – Cauchy’s mean value Theorem – Generalized Mean, Value theorem (all theorems without proof) Functions of several variables – Functional dependence-Jacobian- Maxima and Minima of functions of two variables with constraints and without constraints
JNTUH B.tech M1 Syllabus R18 2021 Unit - 3:
Radius, Centre, and Circle of Curvature – Evolutes and Envelopes Curve tracing – Cartesian, polar and parametric curves.
JNTUH B.tech M1 Syllabus R18 2021 Unit - 4:
Integration & its applications
Riemann Sums , Integral Representation for lengths, Areas, Volumes and Surface areas in Cartesian and polar coordinates multiple integrals – double and triple integrals – change of order of integration- change of variable.
JNTUH B.tech M1 Syllabus R18 2021 Unit - 5:
Differential equations of first order and their applications
Overview of differential equations- exact, linear and Bernoulli. Applications to Newton’s Law of cooling, Law of natural growth and decay, orthogonal trajectories and geometrical applications.
JNTUH B.tech M1 Syllabus R18 2021 Unit - 6:
Higher Order Linear differential equations and their applications
Linear differential equations of second and higher order with constant coefficients, RHS term of the type f(X)= e ax , Sin ax, Cos ax, and xn, e ax V(x), x n V(x), method of variation of parameters. Applications bending of beams, Electrical circuits, simple harmonic motion.
JNTUH B.tech M1 Syllabus R18 2021 Unit - 7:
Laplace transform and its applications to Ordinary differential equations
Laplace transform of standard functions – Inverse transform – first shifting Theorem, Transforms of derivatives and integrals – Unit step function – second shifting theorem – Dirac’s delta function – Convolution theorem – Periodic function – Differentiation and integration of transforms-Application of Laplace transforms to ordinary differential equations.
JNTUH B.tech M1 Syllabus R18 2021 Unit - 8:
Vector Calculus: Gradient- Divergence- Curl and their related properties Potential function – Laplacian and second-order operators. Line integral – work is done ––- Surface integrals – Flux of a vector-valued function. Vector integrals theorems: Green’s -Stoke’s and Gauss’s Divergence Theorems (Statement & their Verification).
JNTUH B.tech M1 Syllabus R18 2021 Text Books:
- Engineering Mathematics – I by P.B. Bhaskara Rao, S.K.V.S. Rama Chary, M. Bhujanga Rao.
- Engineering Mathematics – I by C. Shankaraiah, VGS Booklinks.
JNTUH B.tech M1 Syllabus R18 2021 Referance Books:
- Engineering Mathematics – I by T.K. V. Iyengar, B. Krishna Gandhi & Others, S. Chand.
- Engineering Mathematics – I by D. S. Chandrasekhar, Prison Books Pvt. Ltd.
- Engineering Mathematics – I by G. Shanker Rao & Others I.K. International Publications.
- Higher Engineering Mathematics – B.S. Grewal, Khanna Publications.
- Advanced Engineering Mathematics by Jain and S.R.K. Iyengar, Narosa Publications.
- A text Book of KREYSZIG’S Engineering Mathematics, Vol-1 Dr .A. Ramakrishna Prasad. WILEY publications 2009-2010
Scoring marks in JNTUH B.tech M1 Syllabus R18 2021
Scoring good grades in Mathematics 1 is a difficult task. CynoHub is here to help. We have made a video which will help Engineering Students get rank 1 in their B.tech exams this video will help students to score good grades in Mathematics 1. There are many reasons that scoring in Mathematics 1 exams is difficult so this video will help you to rectify the mistakes students make in exam.
JNTUH B.tech M1 Syllabus R18 2021 was made clear in this article. To know about the syllabus of other Engineering Subjects of JNTUH check out the official CynoHub application.