 # JNTU-A B.TECH R20 1-2 Syllabus For Differential equations and vector calculus PDF 2022

### Get Complete Lecture Notes for Differential equations and vector calculus on Cynohub APP  You will be able to find information about Differential equations and vector calculus along with its Course Objectives and Course outcomes and also a list of textbook and reference books in this blog.You will get to learn a lot of new stuff and resolve a lot of questions you may have regarding Differential equations and vector calculus after reading this blog. Differential equations and vector calculus has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. Differential equations and vector calculus can be learnt easily as long as you have a well planned study schedule and practice all the previous question papers, which are also available on the CynoHub app.

All of the Topic and subtopics related to Differential equations and vector calculus are mentioned below in detail. If you are having a hard time understanding Differential equations and vector calculus or any other Engineering Subject of any semester or year then please watch the video lectures on the official CynoHub app as it has detailed explanations of each and every topic making your engineering experience easy and fun.

### Differential equations and vector calculus Unit One

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

Definitions, homogenous and non-homogenous, complimentaryfunction, generalsolution, particular
integral,Wronskean, method of variation of parameters.Simultaneous linear equations, Applications to
L-C-R Circuit problems and Mass spring system

### Differential equations and vector calculus Unit Two

#### 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.

### Get Complete Lecture Notes for Differential equations and vector calculus on Cynohub APP  ### Differential equations and vector calculus Unit Three

#### 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 Unit Four

#### Vector differentiation

Scalar and vector point functions, vector operator del, del applies to scalar point functions-Gradient,
del applied to vector point functions-Divergence and Curl, vector identities.

### Differential equations and vector calculus Unit Five

#### Vector integration

Line integral-circulation-work done, surface integral-flux, 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 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 Course Outcomes

At the end of the course, the student will be able to
 Solve the differential equations related to various engineering fields (L6)
 Identify solution methods for partial differential equations that model physical processes (L3)
 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 (L6

### Differential equations and vector calculus Text Books

Line integral-circulation-work done, surface integral-flux, 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 Reference Books

Dennis G. Zill and Warren S. Wright, Advanced Engineering Mathematics, Jones and Bartlett,
2011.
2. Michael Greenberg, Advanced Engineering Mathematics, 2/e, Pearson, 2018
3. George B.Thomas, Maurice D. Weir and Joel Hass, Thomas Calculus, 13/e, Pearson
Publishers, 2013.
4. R.K.Jain and S.R.K.Iyengar, Advanced Engineering Mathematics, 3/e, Alpha Science
International Ltd., 2002.
5. Glyn James, Advanced Modern Engineering Mathematics, 4/e, Pearson publishers, 2011.
6. Micheael Greenberg, Advanced Engineering Mathematics, 9
th edition, Pearson edn
7. Dean G. Duffy, Advanced engineering mathematics with MATLAB, CRC Press
8. Peter O’neil, Advanced Engineering Mathematics, Cengage Learning.
9. R.L. GargNishu Gupta, Engineering Mathematics Volumes-I &II, Pearson Education
10. 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

Information about JNTU-A B.Tech R20 Differential equations and vector calculus was provided in detail in this article. To know more about the syllabus of other Engineering Subjects of JNTUH check out the official CynoHub application. Click below to download the CynoHub application.

### Get Complete Lecture Notes for Differential equations and vector calculus on Cynohub APP  1. 