 # BCS-12 Basic Mathematics (BCA)

## BCS-12 Basic Mathematics (BCA)

###### Unit-1 Determinants
In this unit, we shall study determinants of order 2 and 3 only.

###### Unit-2 Matrices - I
In this Unit, we shall see how Matrices can be combined thought the arithematic operations of addition, subtraction, and multiplication.

###### Unit-3 Matrices - II
In this Unit, we shall study elementary operation on Matrices.

###### Unit-4 Mathematical Induction
Use the principle of mathematical induction to establish truth of several formulae and inequalities for each natural number n.

###### Unit-5 Sequence And Series
In this unit, we shall study sequences exhibiting some patterns as they grow.

###### Unit-6 Complex Numbers
This unit teaches algebra, conjugate, modules and representation of complex numbers.

###### Unit-7 Equations
In this unit, we shall take up solving second, third and fourth degree equations in one variable.

###### Unit-8 Inequalities
In this unit, we shall extend our work to include more complex inequalities.

###### Unit-9 Differentiation
In this unit we will learn cocepts of differentiation.

###### Unit-10 Simple Application Of Differential Calculus
In this Unit, we shall discuss several applications of the derivative of a function.

###### Unit-11 Integration
In this unit, we take up the inverse problem, that of finding the original function when we are given the derivative of a function.

###### Unit-12 Applications Of Integral Calculus
we shall see in this unit that ideas are closely related by an important theorem called the Fundamental Theorem of Calculus.

###### Unit-13 Vectors - 1
In this unit we shall study about vectors and scalars, componenets of a vector, section formula.

###### Unit-14 Vectors - 2
In this unit, we shall discuss multiplication of vectors.

###### Unit-15 Three-Dimensional Geometry - 1
Learn how a point in space is uniquely determined by an order triple of real numbers by a three dimensional Cartesian coordinate system.

###### Unit-16 Linear Programming
In this unit we shall study about Linear Programming, techniques of solving Linear Programming Problem, Cost Minimisation.