 # JNTU-A B.TECH R20 1-1 Syllabus For Linear algebra & calculus PDF 2022

### Get Complete Lecture Notes for Linear algebra & calculus on Cynohub APP  You will be able to find information about Linear algebra & 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 Linear algebra & calculus after reading this blog. Linear algebra & calculus has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. Linear algebra & 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 Linear algebra & calculus are mentioned below in detail. If you are having a hard time understanding Linear algebra & 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.

### Linear algebra & calculus Unit One

#### Matrices

Rank of a matrix by echelon form, normal form. Solving system of homogeneous and nonhomogeneous equations linear equations. Eigen values and Eigenvectors and their properties, CayleyHamilton theorem (without proof), finding inverse and power of a matrix by Cayley-Hamilton
theorem, diagonalisation of a matrix.

### Linear algebra & calculus Unit Two

#### Mean Value Theorems

Rolle’s Theorem, Lagrange’s mean value theorem, Cauchy’s mean value theorem, Taylor’s and
Maclaurin theorems with remainders (without proof) related problems

### Get Complete Lecture Notes for Linear algebra & calculus on Cynohub APP  ### Linear algebra & calculus Unit Three

#### Multivariable Calculus

Partial derivatives, total derivatives, chain rule, change of variables, Jacobians, maxima and minima of
functions of two variables, method of Lagrange multipliers.

### Linear algebra & calculus Unit Four

#### Multiple Integrals

Double integrals, change of order of integration, change of variables. Evaluation of triple integrals,
change of variables between Cartesian, cylindrical and spherical polar co-ordinates. Finding areas and
volumes using double and triple integrals

### Linear algebra & calculus Unit Five

#### Beta and Gamma functions

Beta and Gamma functions and their properties, relation between beta and gamma functions,
evaluation of definite integrals using beta and gamma functions.

### Linear algebra & calculus Course Objectives

This course will illuminate the students in the concepts of calculus and linear algebra.
 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.

### Linear algebra & calculus Course Outcomes

At the end of this unit, the student will be able to
 Understand beta and gamma functions and its relations (L2)
 Conclude the use of special function in evaluating definite integrals (L4)

### Linear algebra & calculus Text Books

B. S. Grewal, Higher Engineering Mathematics, 44/e, Khanna Publishers, 2017.
2. Erwin Kreyszig, Advanced Engineering Mathematics, 10/e, John Wiley & Sons, 2011.

### Linear algebra & calculus Reference Books

R. K. Jain and S. R. K. Iyengar, Advanced Engineering Mathematics, 3/e, Alpha Science
International Ltd., 2002.
2. George B. Thomas, Maurice D. Weir and Joel Hass, Thomas Calculus, 13/e, Pearson
Publishers, 2013.
3. Glyn James, Advanced Modern Engineering Mathematics, 4/e, Pearson publishers, 2011.
4. Micheael Greenberg, Advanced Engineering Mathematics, 9th edition, Pearson edn
5. Dean G. Duffy, Advanced Engineering Mathematics with MATLAB, CRC Press
6. Peter O’neil, Advanced Engineering Mathematics, Cengage Learning.
7. R.L. Garg Nishu Gupta, Engineering Mathematics Volumes-I &II, Pearson Education
8. B. V. Ramana, Higher Engineering Mathematics, McGraw Hill Education

### Scoring Marks in Linear algebra & calculus

Information about JNTU-A B.Tech R20 Linear algebra & 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 Linear algebra & calculus on Cynohub APP  1. 2. 