Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are the power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability, and even effective communication.
TERM-I (MM: 40)
UNIT-I Relations & Functions (Marks: 08)
UNIT-II Algebra (Marks: 10)
UNIT-III: Calculus (Marks: 17)
Unit-V: Linear Programming (Marks: 05)
Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems. Graphical method of solution for problems in two variables, feasible and infeasible regions (bounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
Internal Assessment (Marks: 10)
TERM-II (MM: 50)
Unit-III: Calculus (Marks: 18)
Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.
Fundamental Theorem of Calculus (without proof).Basic properties of definite integrals and evaluation of definite integrals.
Applications in finding the area under simple curves, especially lines, parabolas; area of circles /ellipses (in standard form only) (the region should be clearly identifiable).
Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree of the type: 𝑑𝑦/𝑑𝑥 = 𝑓(y/x). Solutions of linear differential equation of the type
Unit-IV: Vectors and Three Dimensional Geometry (Marks: 14)
Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.
Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Distance of a point from a plane.
Unit-VI: Probability (Marks: 14)
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution.
Internal Assessment (Marks: 10)
- Periodic Tests: (5 Marks)
- Mathematics Activities: (5Marks) Activity file record +Term end assessment of one activity & Viva:
DIVISION OF MARKS & GUESS PAPERS
- Paper Style: MCQ only.
One Paper; 90 minutes; Max Marks: 40
I. Relations and Functions: 08 marks
II. Algebra: 10 Marks
III. Calculus: 17 Marks
V. Linear Programming: 05 Marks
Internal Assessment: 10 Marks
Total Marks: 50
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