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Course Info

  • FURTHER CALCULUS FOR ENGINEERS

FURTHER CALCULUS FOR ENGINEERS

About this Course

The three main topics covered in this course are infinite series, multiple integrals, and vector calculus. The first topic begins with the basic concepts of convergence of an infinite sequence and series, followed by the use of various tests to determine the convergence of infinite series. The second chapter introduces the evaluation of multiple integrals using various coordinate systems. In the last chapter introduces the main operations of vector calculus, namely the gradient, the divergence and the curl, followed by integration over paths and surfaces. Applications of three important theorems (Green’s theorem, Stokes’ theorem and divergence theorem) are also included.

Course Syllabus

Syllabus Info
Infinite Sequence and Series
- Sequence
- Convergence and divergence of sequence and series
- Test for convergence
- Convergence of power series

Multiple Integrals
- Double integral
- Triple integral
- Application of multiple integral
- Evaluation of multiple integrals using transformation

Vector Calculus
- Revision – vector algebra
- Vector differentiation – del, grad , divergence and curl
- Vector integration – line ,surface and volume integral
- Stokes’, Green’s and Divergence Theorem

Frequently Asked Questions

Course FAQ
Q1 : What is sequence?
A1 : A list of number