Syllabus
for JEE (Main) - 2024
Syllabus
for JEE Main Paper 1 (B.E./B.Tech.)- Mathematics, Physics, and Chemistry
MATHEMATICS
UNIT
1: SETS, RELATIONS, AND FUNCTIONS:
Sets and their representation: Union, intersection, and complement of
sets and their algebraic properties; Power set; Relation, Type of relations,
equivalence relations, functions; one-one, into and onto functions, the
composition of functions.
UNIT
2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS:
Complex numbers as ordered pairs of reals, Representation of complex
numbers in the form a + ib and their representation in a plane, Argand diagram,
algebra of complex number, modulus, and argument (or amplitude) of a complex
number, Quadratic equations in real and complex number system and their
solutions Relations between roots and co-efficient, nature of roots, the
formation of quadratic equations with given roots.
UNIT3: MATRICES AND DETERMINANTS:
Matrices, algebra of matrices, type of
matrices, determinants, and matrices of order two and three, evaluation of
determinants, area of triangles using determinants, Adjoint, and evaluation of
inverse of a square matrix using determinants and, Test of consistency and
solution of simultaneous linear equations in two or three variables using
matrices.
UNIT 4: PERMUTATIONS AND COMBINATIONS:
The fundamental principle of counting,
permutation as an arrangement and combination as section, Meaning of P (n,r)
and C (n,r), simple applications.
UNIT 5: BINOMIAL THEOREM AND ITS
SIMPLE APPLICATIONS:
Binomial theorem for a positive integral
index, general term and middle term, and simple applications.
UNIT 6: SEQUENCE AND SERIES:
Arithmetic and
Geometric progressions, insertion of arithmetic, geometric means between two
given numbers, Relation between A.M and G.M.
UNIT 7: LIMIT, CONTINUITY, AND
DIFFERENTIABILITY:
Real–valued functions, algebra of functions,
polynomials, rational, trigonometric, logarithmic, and exponential functions,
inverse function. Graphs of simple functions. Limits, continuity, and
differentiability. Differentiation of the sum, difference, product, and
quotient of two functions. Differentiation of trigonometric, inverse
trigonometric, logarithmic, exponential, composite, and implicit functions;
derivatives of order up to two, Applications of derivatives: Rate of change of
quantities, monotonic-Increasing and decreasing functions, Maxima and minima of
functions of one variable,
