1. Sets and Relations

    Content: Introduction to sets, types of sets, operations on sets, and relations between sets.

    Objective: To develop an understanding of the foundational concepts of sets and their applications in mathematics.

 2. Functions

    Content: Definition and types of functions, including one-to-one, onto, and inverse functions.

    Objective: To understand the concept of functions and their significance in mathematical modeling.

 3. Complex Numbers

    Content: Definition, representation, and operations involving complex numbers; polar form and De Moivre's theorem.

    Objective: To provide insight into complex numbers and their applications in solving equations.

 4. Sequences and Series

    Content: Arithmetic and geometric sequences, series, and the concepts of convergence and divergence.

    Objective: To analyze patterns in sequences and understand the sum of series.

 5. Locus and Straight Line

    Content: Definition of locus, equations of straight lines, slope, and intercept form.

    Objective: To visualize and formulate geometric problems involving lines and loci.

 6. Determinants

    Content: Definition and properties of determinants, calculation of determinants for matrices.

    Objective: To understand determinants and their role in solving systems of linear equations.

 7. Limits

    Content: Concept of limits, types of limits, and methods of calculating limits.

    Objective: To introduce the foundational concept necessary for calculus.

 8. Continuity

    Content: Definition of continuity, types of discontinuities, and conditions for continuity.

    Objective: To understand the continuity of functions and its importance in calculus.

 9. Differentiation

    Content: Basic rules of differentiation, derivatives of various functions, and applications of derivatives.

    Objective: To develop skills in finding and applying derivatives in realworld contexts.

 10. Partition Values

    Content: Introduction to the concept of partition values in statistics, including quartiles and percentiles.

    Objective: To analyze data distribution using partition values.

 11. Measures of Dispersion

    Content: Calculation and interpretation of range, variance, and standard deviation.

    Objective: To assess the spread of data and understand variability in datasets.

 12. Skewness

    Content: Understanding skewness, its calculation, and interpretation in the context of data distribution.

    Objective: To evaluate the asymmetry of data distributions and its implications.

 13. Bivariate Frequency Distribution and ChiSquare Statistic

    Content: Construction and analysis of bivariate frequency distributions and introduction to the Chisquare test for independence.

    Objective: To explore relationships between two categorical variables and assess their independence.

 14. Correlation

    Content: Definition and types of correlation, calculation of correlation coefficients, and interpretation.

    Objective: To understand the strength and direction of relationships between two quantitative variables.

 15. Permutations and Combinations

    Content: Principles of counting, formulas for permutations and combinations, and their applications.

    Objective: To solve problems involving arrangements and selections systematically.

 16. Probability

    Content: Basic concepts of probability, including events, sample spaces, and theorems of probability.

    Objective: To understand the fundamentals of probability and its applications in reallife situations.

 17. Linear Inequations

    Content: Solving linear inequalities, graphical representation, and applications in various contexts.

    Objective: To develop skills in formulating and solving problems involving inequalities.

 18. Commercial Mathematics

    Content: Topics such as simple and compound interest, profit and loss, and discount calculations.

    Objective: To apply mathematical concepts to solve practical problems in commerce and finance.