Course Objective
The objective of this course is to familiarize the biotechnological engineers with techniques of Algebra, permutation and combinations, coordinate geometry, calculus and Differentiability and its applications in real world. It aims to equip the students with standard concepts and tools from intermediate to advanced level that will enable them to tackle more advanced level of mathematics and applications that they would find useful in their disciplines.
The students will learn:
The effective mathematical tools of Algebra to solve the linear inequalities.
The tools of permutation and combinations and its applications. Also concepts of sequence and Series are introduced.
To apply concepts of coordinate geometry in engineering mathematics.
The elementary concept of calculus using limits and derivatives.
To deal with continuous and differentiable functions to identify the rate of change and its applications in real-life situations.
Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system
[Video] [Lecture Notes] [Assignment] [Solutions]
Linear inequalities, Algebraic solutions of linear inequalities in one variable and their representation on the number line
[Video] [Lecture Notes] [Assignment] [Solutions]
Graphical solution of linear inequalities in two variables
[Video] [Lecture Notes] [Assignment] [Solutions]
Solution of a system of linear inequalities in two variables graphically
[Video] [Lecture Notes] [Assignment] [Solutions]