**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 NumbersElements 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**

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