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#### Overview

• Videos 21
• Duration 00:41:35
• Branch B.E/B.Tech
• Language English
##### Course Description

This course is designed to equip the students with the necessary mathematical skills and techniques that are essential for an engineering course. The skills derived from the course will help the student from a necessary base to develop analytic and design concepts.

##### Learning Outcomes
• Determine rank, Eigen values, and Eigen vectors of a given matrix and solve simultaneous linear equations.
• Solve simultaneous linear equations numerically using various matrix methods.
• Determine double integral over a region and triple integral over a volume.
• Calculate the gradient of a scalar function, divergence, and curl of a vector function. Determine line, surface, and volume integrals. Apply Green, Stokes, and Gauss divergence theorems to calculate line, surface, and volume integrals.

#### Curriculum

• UNIT 1 Linear Systems of Equations: Introduction, Rank, Echelon form, Normal form- Part 1, Normal form- Part 2, Gauss-Jordan method of finding inverse of a matrix, Solution of linear systems, Solution of linear systems Part 1, Gauss Elimination, Gauss-Jordan, Jacobi and Gauss Seidel Method, Jacobi and Gauss Seidel Method Part 1, Applications : Finding the current in electrical circuits, Eigen Values and Eigen vectors, Properties, Problems on Eigen Values and Eigen vectors, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,
2:07:02

#### Instructor

###### Dr C N B Rao ., M.Sc ,Ph.D (IIT Kharagpur)

Mr. Rao is a professor in an alumnus of IIT, Kharagpur, and currently working as a professor in Mathematics at SRKR College, Bhimavaram. He has close to 30+ years of experience in teaching mathematics to engineering students. Previously worked in many reputed institutions in the capacity of professor. A mentor, guide, and philosopher to a vast number of successful engineers. Mr. Rao is a life member of ISTE and a Life Member of the AP Society of mathematical sciences. Many students have been guided by Mr. Rao for research activities. He specializes in not just mathematics but applications of Mathematics in further engineering subjects.