# Mathematics 1 Syllabus JNTUH R18

Mathematics 1 Syllabus JNTUH 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.

#### Mathematics 1 Syllabus JNTUH 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.

#### Mathematics 1 Syllabus JNTUH 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

#### Application of Single variables

Radius, Centre, and Circle of Curvature – Evolutes and Envelopes Curve tracing – Cartesian, polar and parametric curves.

#### Mathematics 1 Syllabus JNTUH 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.

#### Mathematics 1 Syllabus JNTUH 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.

#### Mathematics 1 Syllabus JNTUH 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.

#### Mathematics 1 Syllabus JNTUH 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.

#### Mathematics 1 Syllabus JNTUH Unit - 8:

##### Vector Calculus

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).

##### Mathematics 1 Syllabus JNTUH 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.
##### Mathematics 1 Syllabus JNTUH 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 Mathematics 1 JNTUH

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.

Mathematics 1 Syllabus JNTUH was made clear in this article. To know about the syllabus of other Engineering Subjects of JNTUH check out the official CynoHub application.

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