1. Sets and Functions

    Content: Covers the concept of sets, including types of sets, set operations, and Venn diagrams. Introduces functions, their types, domains, ranges, and composite functions.

    Objective: To understand the fundamental principles of sets and functions and their applications in mathematics.

2. Relations and Functions

    Content: Expands on the concept of relations and their properties. Discusses various types of functions, including one-to-one, onto, and inverse functions.

    Objective: To analyze different types of relations and functions and their characteristics.

3. Trigonometric Functions

    Content: Introduces trigonometric functions and their properties. Covers the unit circle, trigonometric identities, and equations involving trigonometric functions.

    Objective: To understand the basic trigonometric functions and their applications in solving equations and problems.

4. Principle of Mathematical Induction

    Content: Explains the principle of mathematical induction and its application in proving mathematical statements and formulas.

    Objective: To apply the principle of mathematical induction to prove statements and solve problems in mathematics.

5. Complex Numbers and Quadratic Equations

    Content: Discusses complex numbers, their properties, and operations. Covers solving quadratic equations using complex numbers.

    Objective: To understand complex numbers and their role in solving quadratic equations.

6. Linear Inequalities

    Content: Introduces linear inequalities and their graphical representation. Covers solving systems of linear inequalities.

    Objective: To solve and graph linear inequalities and systems of inequalities.

7. Permutations and Combinations

    Content: Explains permutations and combinations, including their formulas and applications. Covers the principles of counting and arrangements.

    Objective: To understand and apply the concepts of permutations and combinations in solving problems related to counting and arrangements.

8. Binomial Theorem

    Content: Introduces the binomial theorem and its applications in expanding binomial expressions. Covers the binomial coefficients and their properties.

    Objective: To apply the binomial theorem for expanding expressions and solving related problems.

9. Sequence and Series

    Content: Discusses sequences and series, including arithmetic and geometric sequences. Covers sum formulas and the properties of sequences and series.

    Objective: To understand and apply the concepts of sequences and series in various mathematical problems.

10. Straight Lines

     Content: Covers the equations of straight lines, including slope intercept form and point slope form. Discusses parallel and perpendicular lines, and the distance between two lines.

     Objective: To understand and work with the equations of straight lines and their properties.

11. Conic Sections

     Content: Introduces conic sections, including circles, ellipses, parabolas, and hyperbolas. Covers their equations and properties.

     Objective: To analyze and solve problems involving conic sections and their properties.

12. Introduction to Three Dimensional Geometry

     Content: Provides an introduction to three dimensional geometry, including coordinates, distances, and equations of planes and lines in 3D space.

     Objective: To understand the basics of three dimensional geometry and apply these concepts to solve geometric problems in 3D space.

13. Limits and Derivatives

     Content: Covers the concepts of limits and derivatives in calculus. Discusses the rules for finding derivatives and their applications in solving problems.

     Objective: To understand the fundamentals of limits and derivatives and apply them in calculus problems.

14. Mathematical Reasoning

     Content: Introduces the principles of mathematical reasoning, including logical reasoning, proofs, and problem solving strategies.

     Objective: To develop strong reasoning skills and apply logical approaches to solving mathematical problems.

15. Statistics and Probability

     Content: Discusses basic concepts in statistics and probability, including measures of central tendency, probability distributions, and statistical inference.

     Objective: To understand and apply statistical and probabilistic concepts to analyze data and make informed decisions.