 # JNTUK R20B.Tech M3 Mathematics 3 Syllabus 2021

JNTUK R20 M3 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 3 has 5 units in total. Topic and sub-topics of Mathematics 3 are mentioned below in detail. If you have any problem in understanding Mathematics 3 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 M3 B.tech Syllabus Unit - 1:

##### Vector calculus:

Vector Differentiation: Gradient– Directional derivative – Divergence– Curl– Scalar Potential Vector Integration: Line integral – Work done – Area– Surface and volume integrals – Vector integral theorems: Greens, Stokes and Gauss Divergence theorems (without proof) and problems on above theorems.

#### JNTUK R20 M3 B.tech Syllabus Unit - 2:

##### Laplace Transforms:

Laplace transforms – Definition and Laplace transforms of some certain functions– Shifting theorems – Transforms of derivatives and integrals – Unit step function –Dirac’s delta function Periodic function – Inverse Laplace transforms– Convolution theorem (without proof). Applications: Solving ordinary differential equations (initial value problems) using Laplace transforms.

#### JNTUK R20 M3 B.tech Syllabus Unit - 3:

##### Fourier series and Fourier Transforms:
Fourier  Series:  Introduction–  Periodic  functions  –  Fourier  series  of  periodic  function  –  Dirichlet’s  conditions – Even and odd functions –Change of interval– Half-range sine and cosine series.  Fourier Transforms: Fourier integral theorem (without proof) – Fourier sine and cosine integrals – Sine  and  cosine  transforms  –  Properties  (article-22.5  in  text  book-1)–  inverse  transforms  –  Convolution  theorem (without proof) – Finite Fourier transforms.

#### JNTUK R20 M3 B.tech Syllabus Unit - 4:

##### PDE of first order:

Formation of partial differential equations by elimination of arbitrary constants and arbitrary functions – Solutions of first order linear (Lagrange) equation and nonlinear (standard types) equations

#### JNTUK R20 M3 B.tech Syllabus Unit - 5:

##### Second order PDE and Applications:

Second order PDE: Solutions of linear partial differential equations with constant coefficients –Non- homogeneous term of the type nmbyax yxbyaxbyaxe ),cos(),sin(, . Applications of PDE: Method of separation of Variables– Solution of One dimensional Wave, Heat and two-dimensional Laplace equatio

##### JNTUK R20 M3 B.tech Syllabus Course Objectives :
• To familiarize the  techniques in partial differential equations
• To  furnish  the  learners  with  basic  concepts  and  techniques  at  plus  two  lev el  to  lead  them  into  advanced level by handling various real world applications
##### JNTUK R20 M3 B.tech Syllabus Course Outcomes :
• Interpret the physical meaning of different operators such as gradient, curl and divergence (L5)
• estimate the work done against a field, circulation and flux using vector calculus  (L5)
• apply the Laplace transform for solving differential equations   (L3)
• Find or compute the Fourier series of periodic signals  (L3)
• know and be able to apply integral expressions for the forwards and inverse Fourier transform to  a range of non-periodic waveforms (L3)
• identify solution methods for partial differential equations that model physical processes (L3)
##### JNTUK R20 M3 B.tech Syllabus Reference Books :
• Erwin Kreyszig, Advanced Engineering Mathematics, 10th Edition, Wiley-India. 2015.
• Dean.  G.  Duffy,  Advanced  Engineering  Mathematics  with  MATLAB,  3rd  Edition,  CRC  Press,  2010.
• Peter O’ Neil, Advanced Engineering Mathematics, 7th edition, Cengage, 2011..
• Srimantha Pal, S C Bhunia, Engineering Mathematics, Oxford University Press, 2015

### Scoring marks in JNTUK R20 M3 B.tech Syllabus

Scoring good grades in Mathematics 3 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 3. There are many reasons that scoring in Mathematics 3 exams is difficult so this video will help you to rectify the mistakes students make in exam.

JNTUK R20 M3 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. Click below to download the CynoHub application.

## Comment (1)

1. Maths 3