September 11, 2024

*Summary:**JEE B.Arch Maths syllabus is one of architecture's most comprehensive and challenging syllabi. So uncover the B Arch Maths Syllabus for JEE mains 2025 in the article below. jee*

B arch Maths Syllabus for JEE mains 2025 is designed to assess the aptitude and skills of the aspirants who aspire to pursue architecture.

You are tested on topics such as Algebra, Calculus, Geometry, Trigonometry, Differential Equations, Matrices and Statistics.

With the help of this syllabus, you can gain a thorough understanding of the concepts related to architecture.

B Arch Maths Syllabus for JEE mains 2025 highlights are as follows:

Mode of exam | Online |

Duration of exam | 3 hours |

Total number of questions | 82 for B.Arch (Mathematics 30, Aptitude 50, and Drawing 2) |

Medium of paper | Hindi and English |

Number of Units in Maths syllabus | 16 |

Total Marks | 400 |

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Check: **JEE Main Paper 2 Syllabus**

**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, square root of a complex number, triangle inequality, 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.

**Check**: **JEE B.Arch Exam Analysis 202****5**

**UNIT3: MATRICES AND DETERMINANTS:**

Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, properties of determinants, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and 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.

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**UNIT 5: MATHEMATICAL INDUCTIONS:**

Principle of Mathematical Induction and its simple applications.

**UNIT 6: BINOMIAL THEOREM AND SIMPLE APPLICATIONS:**

Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications.

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**UNIT 7: SEQUENCE AND SERIES:**

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M sum up to n terms of special series; Sn, Sn2, Sn3. Arithmetico-Geometric progression.

**UNIT 8: LIMIT, CONTINUITY, AND DIFFERENTIABILITY: **

Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, exponential functions, inverse functions. Graphs of simple functions. Limits, continuity, and differentiability. Differentiate 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, Rolle’s and Lagrange's Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonic increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.

**UNIT 9: INTEGRAL CALCULUS: **

Integral is an anti-derivative, Fundamental Integrals involving algebraic, trigonometric, exponential, and logarithmic functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities.

Check:** ****JEE Main Paper 2 Drawing Questions with Answers**

**UNIT 10: DIFFERENTIAL EQUATIONS **

Ordinary differential equations, their order and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type

**UNIT 11: CO-ORDINATE GEOMETRY**

- Straight line
- Circle, conic sections

**UNIT 12: THREE-DIMENSIONAL GEOMETRY **

Coordinates of a point in space, the distance between two points, section formula, direction ratios, direction cosines, and the angle between two intersecting lines. Skew lines, the shortest distance between them, and their equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, and coplanar lines.

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**UNIT 13: VECTOR ALGEBRA **

Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product.

**UNIT 14: STATISTICS AND PROBABILITY**

Measures of discretion; calculation of mean, median, mode of grouped and ungrouped data, standard deviation, variance and mean deviation for grouped and ungrouped data.

Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate, Bernoulli trials, and binomial distribution.

Check: **Percentile v/s Scores in JEE Main Paper 2**

**UNIT 15: TRIGONOMETRY **

Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions, their properties, heights, and distance.

**UNIT 16: MATHEMATICAL REASONING**

Statement logical operations and, or, implies, implied by, if and only if, understanding of tautology, contradiction, converse, and contrapositive.

Studying from the NCERT textbooks will be sufficient. However, you can refer to the following books for better concept clarity and practice papers.

- Complete Mathematics for JEE Main by TMH
- Plane Geometry and Elements of Coordinate Geometry by SL Loney
- Differential and Integral Calculus by Amit M Aggarwal
- Algebra by Dr SK Goyal
- NCERT Class 11 and 12 textbooks

Check: **How To Prepare For JEE Main Paper 2 in 6 Months**

The JEE B.Arch Maths syllabus is comprehensive and covers various topics. It is designed to give students a solid foundation in mathematics and the ability to apply mathematical principles in various contexts.

By mastering the concepts and topics in the JEE B.Arch Maths syllabus, students will be well-equipped to excel in their upcoming examinations and career paths.

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