 # JNTUA R20 B.tech Linear Algebra and Calculus Syllabus 2021

JNTUA B.tech R20 Linear Algebra and Calculus Syllabus along with Course Objectives and Course outcome and list of textbook and reference books is mentioned in this blog. The subject of Linear Algebra and Calculus has 5 units in total. Topic and sub-topics of Linear Algebra and Calculus are mentioned below in detail. If you have any problem in understanding Linear Algebra and Calculus any other Engineering Subject in any semester or in any year then you can view the video lectures on the official CynoHub app.

#### JNTUA B.tech R20 Linear Algebra and Calculus Syllabus Unit 1 -

##### 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.

#### JNTUA B.tech R20 Linear Algebra and Calculus Syllabus Unit 2 -

##### 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.

#### JNTUA B.tech R20 Linear Algebra and Calculus Syllabus Unit 3 -

##### Multivariable Calculus

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

#### JNTUA B.tech R20 Linear Algebra and Calculus Syllabus Unit 4 -

##### 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.

#### JNTUA B.tech R20 Linear Algebra and Calculus Syllabus Unit 5 -

##### 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.

#### JNTUA B.tech R20 Linear Algebra and Calculus Syllabus 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.

#### JNTUA B.tech R20 Linear Algebra and Calculus Syllabus Course Outcomes:

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

Develop the use of matrix algebra techniques that is needed by engineers for practical
applications (L6)
Utilize mean value theorems to real life problems (L3)
• Familiarize with functions of several variables which is useful in optimization (L3)
• Students will also learn important tools of calculus in higher dimensions. Students will become
familiar with 2 dimensional coordinate systems (L5)
• Students will become familiar with 3 dimensional coordinate systems and also learn the
utilization of special functions

#### JNTUA B.tech R20 Linear Algebra and Calculus Syllabus Reference Books:

• R. K. Jain and S. R. K. Iyengar, Advanced Engineering Mathematics, 3/e, Alpha Science International Ltd., 2002.
• George B. Thomas, Maurice D. Weir and Joel Hass, Thomas Calculus, 13/e, Pearson Publishers, 2013.
• 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. Garg Nishu Gupta, Engineering Mathematics Volumes-I &II, Pearson Education
• B. V. Ramana, Higher Engineering Mathematics, McGraw Hill Education
• H. k Das, Er. RajnishVerma, Higher Engineering Mathematics, S. Chand.
• N. Bali, M. Goyal, C. Watkins, Advanced

#### Scoring Marks in JNTUA B.tech R20 Linear Algebra and Calculus Syllabus

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

JNTUA B.tech R20 Linear Algebra and 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.

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