sc JNTUA R20 B.Tech Differential Equations and Vector Calculus Syllabus 2021 – Cynohub

# JNTUA R20 B.Tech Differential Equations and Vector Calculus Syllabus 2021

Differential Equations and Vector Calculus Syllabus along with Course Objectives and Course outcome and list of textbook and reference books is mentioned in this blog. The subject of Differential Equations and Vector Calculus has 3 units in total. Topic and sub-topics of Differential Equations and Vector Calculus are mentioned below in detail. If you have any problem in understanding Differential Equations and Vector Calculus any other Engineering Subject in any semester or in any year then you can view the video lectures on the official CynoHub app.

#### Differential Equations and Vector Calculus Syllabus Unit 1

##### Linear differential equations of higher order(Constant Coefficients)

Definitions, homogenous and nonhomogenous, complimentaryfunction, generalsolution, particular
integral,Wronskean, method of variation of parameters.Simultaneous linear equations, Applications to
LCR Circuit problems and Mass spring system.

##### Partial Differential Equations

Introduction and formation of Partial Differential Equations by elimination of arbitrary constants and
arbitrary functions, solutions of first order equations using Lagrange’s method.

#### Differential Equations and Vector Calculus Syllabus Unit 3

##### Applications of Partial Differential Equations

Classification of PDE, method of separation of variables for second order equations. Applications of
Partial Differential Equations: One dimensional Wave equation, One dimensional Heat equation.

#### Differential Equations and Vector Calculus Syllabus Unit 4

##### Vector differentiation

Scalar and vector point functions, vector operator del, del applies to scalar point functionsGradient,
del applied to vector point functionsDivergence and Curl, vector identities.

#### Differential Equations and Vector Calculus Syllabus Unit 5

##### Vector integration

Line integralcirculationwork done, surface integralflux, Green’s theorem in the plane (without
proof), Stoke’s theorem (without proof), volume integral, Divergence theorem (without proof) and
applications of these theorems.

#### Differential Equations and Vector Calculus Syllabus Course Objectives

• To enlighten the learners in the concept of differential equations and multivariable calculus.
• To furnish the learners with basic concepts and techniques at plus two level to lead them into
advanced level by handling various real world applications.

#### Differential Equations and Vector Calculus Syllabus Course Outcomes

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

• Solve the differential equations related to various engineering fields
• Identify solution methods for partial differential equations that model physical processes
• nterpret the physical meaning of different operators such as gradient, curl and divergence
• Estimate the work done against a field, circulation and flux using vector calculus

#### Differential Equations and Vector Calculus Syllabus Reference Books

• Dennis G. Zill and Warren S. Wright, Advanced Engineering Mathematics, Jones and Bartlett,
2011.
• Michael Greenberg, Advanced Engineering Mathematics, 2/e, Pearson, 2018
• George B.Thomas, Maurice D. Weir and Joel Hass, Thomas Calculus, 13/e, Pearson
Publishers, 2013.
• R.K.Jain and S.R.K.Iyengar, Advanced Engineering Mathematics, 3/e, Alpha Science
International Ltd., 2002.
• Glyn James, Advanced Modern Engineering Mathematics, 4/e, Pearson publishers, 2011.
• Micheael Greenberg, Advanced Engineering Mathematics, 9th edition, Pearson edn
• Dean G. Duffy, Advanced engineering mathematics with MATLAB, CRC Press
• Peter O’neil, Advanced Engineering Mathematics, Cengage Learning.
• R.L. GargNishu Gupta, Engineering Mathematics VolumesI &II, Pearson Education

• B. V. Ramana, Higher Engineering Mathematics, McGraw Hill Education.
11. H. k Das, Er. RajnishVerma, Higher Engineering Mathematics, S. Chand.
12. N. Bali, M. Goyal, C. Watkins, Advanced Engineering Mathematics, Infinity Science Press.

### Scoring Marks in Differential Equations and Vector Calculus Syllabus

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JNTUA B.tech R20 Differential Equations and Vector Calculus 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.