ISC Class 11 Mathematics Syllabus

ISC Class 11 Mathematics Syllabus 2024-25 

The ISC Class 11 Mathematics Syllabus for 2024-25 is designed to give students a strong foundation in core mathematical concepts and improve their analytical and problem-solving skills. The syllabus covers various topics that introduce students to higher-level mathematics, which will be helpful for advanced studies and real-world applications.

The syllabus is broadly divided into key areas such as Algebra, Trigonometry, Coordinate Geometry, Calculus, Statistics, and Probability. In Algebra, students learn about complex numbers, quadratic equations, and sequences and series, including arithmetic and geometric progressions. These topics build on what they have learned in earlier classes and introduce more challenging concepts that require critical thinking.

Trigonometry covers angles, trigonometric functions, and identities. Students explore various trigonometric equations useful for solving real-life problems in physics, engineering, and other fields. Coordinate Geometry introduces students to studying points, lines, and planes in two and three dimensions. This section includes concepts like the distance formula, the equation of a line, and the conic sections, which are essential for understanding spatial relationships.

The Calculus section, new for many students, introduces them to the concept of limits and derivatives. Calculus is a powerful tool in mathematics that allows students to analyze changes, which has applications in fields ranging from economics to engineering.

Statistics and Probability focus on data analysis and the study of chance events. Students learn about measures of central tendency, dispersion, and basic probability concepts, which are essential for interpreting data and making predictions based on it.

Overall, the ISC Class 11 Mathematics Syllabus is designed to provide a well-rounded mathematical education. The topics covered not only prepare students for exams but also equip them with skills needed for future academic pursuits and real-life problem-solving.

ISC Class 11 Mathematics Semester-Wise Syllabus 2024-25

ISC class 11 Mathematics Exam Pattern

PAPER I: THEORY - 80 Marks 

DISTRIBUTION OF MARKS FOR THE THEORY PAPER

PAPER II: PROJECT WORK - 20 Marks  

Candidates will be expected to have completed two projects, one from Section A and one from either Section B or Section C. Mark allocation for each Project [10 marks]:

Suggested assignments for Project Work: 

1. Using a Venn diagram, find the number of subsets of a given set and verify that if a set has ‘n’ number of elements, the total number of subsets is 2n

2. Verify that for two sets A and B, n(A × B) = pq, where n(A) = p and n(B)= q, the total number of relations from A to B is 2pq.

3. Using the Venn diagram, verify the distributive law for three given non-empty sets A, B, and C. 

4. Identify the distinction between a relation and a function with suitable examples and illustrate graphically.

5. Establish the relationship between the measure of an angle in degrees and in radians with suitable examples by drawing a rough sketch. 

6. Illustrate with the help of a model, the values of sine and cosine functions for different angles which are multiples of π/2 and π.

7. Draw the graphs of sin x, sin 2x, 2 sin x, and sin x/2 on the same graph using the same coordinate axes and interpret the same.

8. Draw the graph of cos x, cos 2x, 2 cos x, and cos x/2 on the same graph using the same coordinate axes and interpret the same.

9. Using the argand plane, interpret geometrically, the meaning of and its integral powers.

10. Draw the graph of the quadratic function. From the graph find the maximum/minimum value of the function. Also, determine the sign of the expression.

11. Construct a Pascal’s triangle to write a binomial expansion for a given positive integral exponent. 

12. Obtain a formula for the sum of the squares/sum of cubes of ’n’ natural numbers.

13. Obtain the equation of the straight line in the normal form, for (the angle between the perpendicular to the line from the origin and the x-axis) for each of the following, on the same graph: α < 90°, 90° < α < 180°, 180° < α < 270°,  270° < α < 360°

14. Identify the variability and consistency of two sets of statistical data using the concept of coefficient of variation.

15. Construct the tree structure of the outcomes of a random experiment, when elementary events are not equally likely. Also, construct a sample space by taking a suitable example.