JNTUK R20 M1 B.tech Syllabus 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 5 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.

JNTUK R20 M1 B.tech Syllabus Unit - 1:

Sequences, Series and Mean value theorems

Sequences and Series: Convergences and divergence test – Ratio test – Comparison test Integral test – Cauchy’s root test – Alternate series – Leibnitz’s rule.

Mean Value Theo rems (without proofs): Rolle’s Theorem – Lagrange’s mean value theorem – Cauchy’s mean value theorem – Taylor’s and Maclaurin’s theorems with remainders, Problems, and applications on the above theorem.

JNTUK R20 M1 B.tech Syllabus Unit - 2:

Differential equations of first order and first degree

Linear differential equations – Bernoulli’s equations – Exact equations and equations reducible to exact form. Applications: Newton’s Law of cooling – Law of natural growth and decay – Orthogonal trajectories –

JNTUK R20 M1 B.tech Syllabus Unit - 3:

Linear differential equations of higher order

Homogeneous and Non – homogeneous differential equations of higher order with constant coefficients – with non – homogeneous term of the type e ax , sin ax, cos ax, polynomials in x n , e ax V(x) and x n V(x) – Method of Variation of parameters, Cauchy and Legendre’s linear equations.

Introduction – Homogeneous function – Euler’s theorem– Total derivative– Chain rule– Jacobian – Functional dependence –Taylor’s and MacLaurin’s series expansion of functions of two variables. Applications: Maxima and Minima of functions of two variables without constraints and Lagrange’s method.

JNTUK R20 M1 B.tech Syllabus Unit - 5:

Multiple integrals

Double and Triple integrals – Change of order of integration in double integrals – Change of variables to polar, cylindrical and spherical coordinates. Applications: Finding Areas and Volumes.

JNTUK R20 M1 B.tech Syllabus Course Objectives

To familiarize a variety of well-known sequences and series, with a developing intuition about the behaviour of new ones.

To enlighten the learners in the concept of differential equations and multivariable calculus.

To equip the students with standard concepts and tools at an intermediate to advanced level mathematics to develop the confidence and ability among the students to handle various real world problems and their applications.

JNTUK R20 M1 B.tech Syllabus Course Outcomes

At the end of the course, the student will be able to

utilize mean value theorems to real life problems (L3)

solve the differential equations related to various engineering fields (L3)

familiarize with functions of several variables which is useful in optimization (L3)

apply double integration techniques in evaluating areas bounded by region (L3)

students will also learn important tools of calculus in higher dimensions. Students will become familiar with 2- dimensional and 3-dimensional coordinate systems(L5 )

JNTUK R20 M1 B.tech Syllabus Referance Books:

B. S. Grewal, Higher Engineering Mathematics, 44th Edition, Khanna Publishers.

B. V. Ramana, Higher Engineering Mathematics, 2007 Edition, Tata Mc. Graw Hill Education.

Joel Hass, Christopher Heil and Maurice D. Weir, Thomas calculus, 14thEdition, Pearson.

Lawrence Turyn, Advanced Engineering Mathematics, CRC Press, 2013.

Srimantha Pal, S C Bhunia, Engineering Mathematics, Oxford University Press

Scoring marks in JNTUK R20 M1 B.tech Syllabus

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.

JNTUK R20 M1 B.tech Syllabus was made clear in this article. To know about the syllabus of other Engineering Subjects of JNTUK check out the official CynoHub application.