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Content Curator | Updated On - May 8, 2024
What's New in KEAM Mathematics syllabus 2024?
KEAM Mathematics syllabus 2024 will be released soon by KEAM. The expected date for the detailed information about the KEAM exam 2024 is March 2024. CEE Kerala is anticipated to release the KEAM Syllabus 2024 through its information brochure. Check KEAM 2024 Syllabus
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A comprehensive understanding of the KEAM 2024 Exam Pattern and syllabus is crucial for interested candidates aiming to perform well. The exam will consist of 120 objective-type questions and candidates are allotted 150 minutes to complete each paper.
- Every correct answer carries 4 marks, while 1 mark is deducted for each incorrect response.
- KEAM 2024 is scheduled to be conducted in an online computer-based test mode.
- The KEAM exam comprises two papers: Paper 1 (Physics and Chemistry) and Paper 2 (Mathematics).
- Aspiring engineering students are required to appear for both papers.
| Table of Contents |
KEAM Mathematics Syllabus
KEAM Mathematics Syllabus
KEAM 2024 Mathematics syllabus are as follows:
| Unit | Topics |
|---|---|
| I: Algebra | Sets and their representations: Finite and Infinite sets; Empty set; Equal sets; Subsets; Power set; Universal set; Venn Diagrams; Complement of a set; Operations on Sets (Union, Intersection, Difference of Set); Applications of sets: Ordered Pairs, Cartesian Product of Two sets; Relations, reflexive, symmetric, transitive and equivalence relations; Domain, Co-domain and Range; Functions: into, onto, one-one into, one-one onto Functions; Constant Function; Identity Function; composition of Functions; Invertible Functions; Binary Operations; Complex Numbers:Complex Numbers in the form a i b ; Real and Imaginary Parts of a complex Number; Complex Conjugate, Argand Diagram, Representation of Complex Number as a point in the plane; Modulus and Argument of a Complex Number; Algebra of Complex Numbers; Triangle Inequalit, Polar Representation of a Complex Number and square root of a complex number. Solution of a Quadratic Equation in the Complex Number System. Sequences and Series:Sequence and Examples of Finite and Infinite Sequences; Arithmetic Progression (A..P): First Term, Common Difference, nth Term and sum of n terms of an A.P.; Arithmetic Mean (A.M); Insertion of Arithmetic Means between any Two given Numbers; Geometric Progression (G.P): first Term, Common Ratio and nth term, Sum to n Terms, infinite GP and its sum. Geometric Mean (G.M); Insertion of Geometric Means, Relation between AM and GM. between any two given numbers . Formula for finding the sum of first n natural numbers, sum of the squares of first n natural numbers and sum of the cubes of first n natural numbers. Permutations, Combinations, Binomial Theorem and Mathematical Induction:Fundamental Principle of Counting; The Factorial Notation; Permutation as an Arrangement; Meaning of P(n, r); Combination: Meaning of C(n,r); Applications of Permutations and Combinations. Statement of Binomial Theorem; Proof of Binomial Theorem for positive integral Exponent using Principle of Mathematical Induction and also by combinatorial Method; General and Middle Terms in Binomial Expansions; Properties of Binomial Coefficients; Binomial Theorem for any Index (without proof); Application of Binomial Theorem. The Principle of Mathematical Induction, Simple Applications. Matrices and Determinants:Concept of a Matrix; Types of Matrices; Equality of Matrices (only real entries may be considered): Operations of Addition, Scalar Multiplication and Multiplication of Matrices; Statement of Important Results on operations of Matrices and their Verifications by Numerical Problem only; Determinant of a Square Matrix; Minors and Cofactors; singular and non-singular Matrices; Applications of Determinants in finding the Area of a Triangle. Concept of elementary row and column operations. Transpose, Adjoint and Inverse of a Matrix; Consistency and Inconsistency of a system of Linear Equations; Solving System of Linear Equations in Two or Three variables using Inverse of a Matrix (only up to 3X3 Determinants and Matrices should be considered). Linear Inequalities: Solutions of Linear Inequalities in one variable and its Graphical Representation; solution of system of Linear Inequalities in one variable; Graphical solutions of Linear Inequalities in two variables; solution of system of Linear Inequalities in two variables. Mathematical Reasoning: Mathematically acceptable statements and their Negation. Connecting words /phrases consolidating the understanding of if and only if condition, implies, and/or, implied by, there exists. Validating the statements involving the connecting words, difference among contradiction, converse and contrapositive. |
| II: Trigonometry | Trigonometric functions and Inverse Trigonometric functions; Degree measures and Radian measure; Trigonometric functions of sum and difference of numbers; Trigonometric functions of multiple and submultiples of numbers; Conditional identities for the angles of a triangle; Proofs and simple applications of sine and cosine formulae; Inverse Trigonometric functions; Range, domain, principal value branch and graphs of inverse trigonometric functions; Simple problems; Graph of trigonometric functions |
| III: Geometry | Lines and Family of lines Cartesian system of coordinates in a plane, shifting of origin. Distance formula, Slope of line, parallel and perpendicular lines. Various forms of equations of a line parallel to axes, slopeintercept form, The Slope point form, Intercept form, Normal form, General form, Intersection of lines. Equation of bisectors of angle between two lines, Angles between two lines, condition for concurrency of three lines, Distance of a point from a line, Equations of family of lines through the intersection of two lines. Conic sections Sections of a cone. Circles, standard form of the equation of a circle, its radius and centre. Equations of conic sections [Parabola, Ellipse and Hyperbola] in standard form and simple properties. Vectors Vectors and scalars, Magnitude and Direction of a vector, Types of vectors (Equal vectors, unit vector, Zero vector). Position vector of a point, Localized and free vectors, parallel and collinear vectors, Negative of a vector, components of a vector, Addition of vectors, multiplication of a vector by a scalar, position vector of point dividing a line segment in a given ratio, Application of vectors in geometry. Scalar product of two vectors, projection of a vector on a line, vector product of two vectors. Three-Dimensional Geometry Coordinate axes and coordinate planes in three dimensional space, coordinate of a point in space, distance between two points, section formula, direction cosines, and direction ratios of a line joining two points, projection of the join of two points on a given line, Angle between two lines whose direction ratios are given, Cartesian and vector equation of a line through (i) a point and parallel to a given vector (ii) through two points, Collinearity of three points, coplanar and skew lines, Shortest distance between two lines, Condition for the intersection of two lines, Cartesian and vector equation of a plane (i) When the normal vector and the distance of the plane from the origin is given (ii) passing through a point and perpendicular to a given vector (iii) Passing through a point and parallel to two given lines through the intersection of two other planes (iv) containing two lines (v) passing through three points, Angle between (i) two lines (ii) two planes (iii) a line and a plane, Condition of coplanarity of two lines in vector and Cartesian form, length of perpendicular of a point from a plane by both vector and Cartesian methods. |
| IV: Statistics | Statistics and probability Mean deviation, variance, standard deviation for grouped and ungrouped data. Analysis of frequency distributions with equal means but different variances. Random experiments and sample space, Events as subset of a sample space, occurrence of an event, sure and impossible events, Exhaustive events, Algebra of events, Meaning of equality, likely outcomes, mutually exclusive events. Probability of an event; Theorems on probability; Addition rule, Multiplication rule, Independent experiments and events. Finding P (A or B), P (A and B), Bayes' theorem, random variables, Probability distribution of a random variable and its mean and variance. Repeated independent (Bernoulli) trials and Binomial distribution. |
| V: Calculus | Functions, Limits and continuity:Concept of a real function; its domain and range; Modulus Function, Greatest integer function: Signum functions; Trigonometric functions and inverse trigonometric functions and their graphs; composite functions, Inverse of a function. Differentiation:Derivative of a function; its geometrical and physical significance; Relationship between continuity and differentiability; Derivatives of polynomial, basic trigonometric, exponential, logarithmic and inverse trigonometric functions from first principles; derivatives of sum, difference, product and quotient of functions; derivatives of polynomial, trigonometric, exponential, logarithmic, inverse trigonometric and implicit functions; Logarithmic differentiation; derivatives of functions expressed in parametric form; chain rule and differentiation by substitution; Derivatives of Second order. Application of Derivatives:Rate of change of quantities; Tangents and Normals; increasing and decreasing functions and sign of the derivatives; maxima and minima; Greatest and least values; Rolle's theorem and Mean value theorem; Approximation by differentials. Simple problems. Indefinite Integrals:Integration as inverse of differentiation; properties of integrals; Integrals involving algebraic, trigonometric, exponential and logarithmic functions; Integration by substitution; Integration by parts; Definite Integrals:Definite integral as limit of a sum; Fundamental theorems of integral calculus without proof; Evaluation of definite integrals by substitution and by using the following properties. Linear Programming Introduction, related terminology such as constraints, 0bjective function, optimisation, different types of linear programming problems, mathematical formulation of Linear Programming Problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions ( up to three non-trivial constraints). |
KEAM Mathematics Syllabus Books
KEAM Mathematics Syllabus Books
KEAM Mathematics Syllabus Books are as follows:
| Book name | Publication/ Author |
|---|---|
| NCERT Maths Part 1 and 2 Textbook for class 12th | NCERT |
| Maths XI & XII | R. D Sharma |
| Problems in Calculus in One variable | I. A Maron |
KEAM Exam Pattern
KEAM 2024 Exam Pattern
KEAM 2024 Exam Pattern will be officially disclosed by the authorities through the KEAM website along with the prospectus. This pattern provides important details such as the exam mode, duration, marking scheme, and number of questions. It's recommended for KEAM aspirants to review the Exam Pattern and Syllabus for effective preparation.
- KEAM 2023 consists of two papers: Paper I and Paper II. Paper I includes questions from Physics and Chemistry, while Paper II focuses solely on Mathematics.
- The questions are multiple-choice (MCQs) with five options provided for each question. Each paper contains 120 questions, and candidates have 150 minutes to complete them.
- In terms of scoring, correct answers are awarded 4 marks, while incorrect answers result in a deduction of 1 mark.
Frequently Asked Questions
KEAM Mathematics Syllabus FAQs
Ques. What does the KEAM Mathematics syllabus for 2024 cover?
Ans. The KEAM 2024 Mathematics syllabus includes various topics covering Algebra, Trigonometry, Geometry, Statistics, Calculus, and Linear Programming.
Ques. How are the questions structured in the KEAM Mathematics exam?
Ans. The exam consists of 120 objective-type questions in total, and candidates are allotted 150 minutes for each paper. Each correct answer carries 4 marks, while an incorrect response results in a deduction of 1 mark.
Ques. What are the main subjects included in the KEAM Mathematics syllabus?
Ans. The syllabus comprises topics from Algebra, Trigonometry, Geometry, Statistics, Calculus, and Linear Programming. Detailed subtopics are provided under each unit.
Ques. What are some recommended books for preparing for the Mathematics section in KEAM?
Ans. Some recommended books include NCERT Maths textbooks for Class 12, R. D. Sharma's Maths XI & XII, and "Problems in Calculus in One Variable" by I. A. Maron.
Ques. How crucial is it to understand the Mathematics syllabus for KEAM aspirants?
Ans. Understanding the KEAM Mathematics syllabus is vital for effective preparation as it forms a substantial part of the entrance examination. It's essential to cover all topics comprehensively for a better performance.
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.
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