Mathematics Optional Subject Study Material for FRO Exam – PDF Free Download

Mathematics Optional Subject Complete Study Material for TSPSC Forest Range Officers (FRO) Exam, 2017 – PDF Free Download

In this post, we are providing complete study material for Mathematics Optional Subjects for Forest Range Officers (FRO) Exam conducted by the Telanagana State Public Service Commission (TSPSC) as per the syllabus mentioned.

You can download these material PDFs on Mathematics Optional Subject for TSPSC FRO exam from below links.

You can also download the syllabus of Mathematics Optional Subject for TSPSC FRO exam from here: Mathematics Optional Syllabus

Algebra:

Elements of Set Theory
Algebra of Real and Complex Numbers
Elements of Group Theory
Sub-Groups and Cyclic Groups
Permutation Groups
Rings
Integral Domains Fields and their elementary properties

Vector Spaces and Matrices:

Sets, Functions and Fields
Vector Spaces
Basis and Dimensions
Linear Transformation of Vector Spaces
Matrix Representation
Matrices – II

Geometry and Vectors:

Analytic Geometry of straight line
Conics
Three Dimensional Geometry for Planes and Straight Lines
Sphere
Cones and Cylinders
Addition, Subtraction and Products of Vectors

Calculus:

Real Numbers and Functions|
Definite Integrals
Limits and Continuity
Differential Calculus
Integral Calculus
Applications of Integral Calculus

Ordinary Differential Equations

Order and Degree of a Differential Equation
First Order Differential Equations
Second Order Differential Equations

Mechanics:

Motion, Displacement, Velocity and Acceleration
Force and Momentum
Work and Energy
Angular Motion
Friction
Center of Gravity and Moment of Inertia
Gravitation
Coplanar Forces
Rectilinear motion, Projectiles and Relative Motion
Laws of Motion
Equilibrium of Coplanar Forces

Elements of Computer Programming:

Binary system, Octal and Hexadecimal systems and Conversion
Boolean Logic – AND, OR, XOR, NOT
Memory of a Computer
Arithmetic and Logical Operations on Numbers
Algorithms and Flow Charts