### NERIST 2015 1 Mathematics Syllabus:

The following given below is the NERIST 2015 1 Mathematics Syllabus:

**(Algebra:
**Number System; Whole Numbers, Integers, Rational and Irrational number, surds and rationalization of surds, Real numbers.

**Polynomials:
**Definition of a polynomial; Factorization of polynomials Factorization of quadratic and cubic expression, HCF and LCM of polynomials.

**Rational expressions:
**Addition, Multiplication and Division of rational expressions.

**Linear Equations in one & two variables:
**Solution of linear equations in one and two variables by cross multiplication and other simple methods; Applications to practical equations.

**Quadratic Equations:
**Zeroes of quadratic equations; Solutions of quadratic equations by (i)factorization (ii) method of completion of square; quadratic formula; Application quadratic equations.

### Geometry:

**(f)Lines, Angles and Triangles:
**Geometrical concepts of a point; Angle and a triangle, Angles made by a transversal with two lines; Sum of the angles of a triangle, Different criteria for congruence of two triangles, Properties of Isosceles triangles, Similar triangles, Proportionality theorems, Concurrent lines of a triangle.

**Parallelograms:
**Definition, Properties of a parallelogram, Types of parallelograms, some theorems on parallelograms.

**Circles:
**Definition, congruence of circles, chords of a circle Arcs of a circle, angles subtended by Arcs and chords at a point on a circle; angles in cyclic quadrilateral; Tangents to a circle; Properties of tangents; to a circle; Chord of a Circle; intersecting in a point; Alternate segments and its angles; common tangents to circles.

**Trigonometry:
**Trigonometric ratios of angle of measures; trigonometric ratios of some specific angles; solution of right triangles; trigonometric ratios of completely angles; simple problems on heights and distances; Angles of elevation and depressions.

**Mensuration:
**Area of triangle; quadrilateral, Circle, sector and segment of a circle; Trapezium, Concept of perimeter of these figures. Lateral and total surface area of right triangular prisms; volume of a right triangular prism. Lateral surface area and volume of a right pyramid; surface area and volume of a tetrahedron; lateral and total surface area and volume of a sphere; surface area and volumes of combinations of these solids; volume and surface are of a frustum of right circle cone.

**Statistics and Probability:
**Mean, Median Mode and their properties, Measures of central tendency; probability as a measure of uncertainly.

**Coordinate Geometry (2D):
**Distance between two points; Section formula between two points.