BITSAT Mathematics Syllabus 2024 Available - Check Latest Syllabus, Important Topics, Weightage and Preparation Tips

BITSAT Mathematics Syllabus 2024 Important Topics

• Algebra
• Trigonometry
• Two-dimensional Coordinate Geometry
• Three-dimensional Coordinate Geometry
• Differential calculus
• Integral calculus
• Ordinary Differential Equations
• Probability
• Vectors
• Statistics
• Linear Programming
• Mathematical modeling

BITSAT Mathematics Section Weightage

Most Difficult

Recommended Books

• Higher Algebra
• Integral Calculus 
• Differential Calculus
• Problems in Calculus in One Variable Algebra
• Class XI and XII Mathematics

Algebra

• Complex numbers, addition, multiplication, conjugation, etc.
• Quadratic equations theory, quadratic equations in real and complex number systems and their solutions.
• Arithmetic and geometric progressions, etc.
• Logarithms and their properties.
• Exponential series.
• Permutations and combinations, Permutations as an arrangement and combination as selection, etc.
• Matrices and determinants of order two or three, etc.
• Sets, Relations and Functions, algebra of sets applications, equivalence relations, mappings, etc.
• Maths reasoning and methods of proofs, acceptable statements.
• Linear Inequalities, ways to solve linear inequalities in one variable

Trigonometry

• Measurement of angles in radians and degrees, positive and negative angles, etc.
• Solution of trigonometric equations.
• Inverse trigonometric functions

Two-dimensional Coordinate Geometry

• Cartesian coordinates, the distance between two points, etc.
• Straight lines and pairs of straight lines: Equation of straight lines in various forms, etc.
• Circles: Equation of a circle in standard form, parametric equations of a circle.
• Conic sections: parabola, ellipse, and hyperbola, their eccentricity, etc.

Three-dimensional Coordinate Geometry

• Coordinate axes and coordinate planes, the distance between two points, section formula, etc.
• The angle between two lines whose direction ratios are given, the shortest distance between two lines.
• Equation of a plane, distance of a point from a plane, etc.

Differential calculus

• Domain and range of a real-valued function, Limits and Continuity of the sum, etc.
• Derivative of different types of functions, etc.
• Geometric interpretation of the derivative, Tangents, and Normal.
• Increasing and decreasing functions, Maxima, and minima of a function.
• Rolle’s Theorem, Mean Value Theorem, and Intermediate Value Theorem

Integral calculus

• Integration, indefinite integrals of standard functions.
• Methods of integration: Integration by substitution, Integration by parts, etc.
• Integrals and their properties, Fundamental Theorem of Integral Calculus, applications in finding areas under simple curves.
• Application of definite integrals to the determination of areas of regions bounded by a simple curve

Ordinary Differential Equations

• Order and degree of a differential equation, variables separable method.
• Solution of homogeneous differential equations of first order and first degree
• Linear first order differential equations

Probability

• Various terminology in probability, axiomatic, and other approaches of probability, addition, and multiplication rules of probability.
• Conditional probability, total probability, and Bayes theorem
• Independent events
• Discrete random variables and distributions with mean and variance.

Vectors

• Direction ratio/cosines of vectors, addition of vectors, scalar multiplication, position vector of a point dividing a line segment in a given ratio.
• Dot and cross products of two vectors, projection of a vector on a line.
• Scalar triple products and their geometrical interpretations

Stats

• Measures of dispersion
• Analysis of frequency distributions with equal means but different variances

Linear Programming

• Various terminology and formulations of linear Programming
• Linear Programming and its solution, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions.

Maths modelling

Formulation of a simple real-life problem, and solution using matrices, calculus, and linear programming.

Circles

4-5

Straight Lines & Pair of Straight Lines

2-3

Continuity & Differentiability

2-3

Theory of Equation

2-3

Binomial Theorem

2-3

Sets, Relations & Functions

2-3

Properties of Triangles

1

Trigonometric Ratios & Identities

2

Trigonometric Equations

2

Probability

2

Matrices Determinants

3-4

Application of Derivatives

6-7

Permutations & Combinations

4-5

Parabola

3-4

Sequence & Series

4-5

Inverse Trigonometry

1

Limits & Differential Coefficient

2-3

Statistics

1

Complex Numbers

1

Problems in Calculus in One Variable Algebra

I.A.Maron

Integral Calculus

Arihant

Class XI & XII Mathematics

R.D. Sharma

Higher Algebra

Hall Knight & Bernard

Differential Calculus

Arihant