Course credit 3
Hours per week 5
Total : 75Marks [ Internal 15 + External 60 ]
Aim of the Course:
· This course comprises the study of vector valued function and complex numbers.
· The concept of the gradient of a scalar function , curl, and divergence of a vector field are discussed .
· The study of analytic functions and their behavior with respect to the complex calculus is the main focus
· To understand the difference between the differentiability and analyticity of a complex function and the necessary and sufficient conditions for analyticity.
Objectives of the Course:
● To learn the idea of limit ,continuity and derivatives of vector -valued function.
● Use partial derivatives to find the tangent plane and normal line to a point on a surface.
● Understand the properties and applications of the gradient of a function .
● Apply double integral and triple integral to find the mass of a lamina, center of mass, etc.
● Evaluate curl and divergence of a vector field.
● Understand the definition and evaluation of complex integral.
● Understand Cauchy ‘s integral formula and apply it to derivative Liouville’s theorem and the fundamental theorem of Algebra.
● Understand the line integral, surface integral and triple integral.
Text: Advanced Engineering Mathematics (6/e) : Dennis G Zill Jones & Bartlett Learning, LLC (2018)ISBN: 978-1-284-10590-2
- Teacher: Divya p FACULTY