1. Angle and its Measurement

 Content: Understanding angles in different units (degrees, radians) and their measurement.

 Objective: To familiarize students with angle measurement systems and basic geometric principles.

 2. Trigonometry  I

 Content: Basic trigonometric functions, identities, and relationships.

 Objective: To develop a strong foundation in trigonometry for solving various mathematical problems.

 3. Trigonometry  II

 Content: Advanced trigonometric identities and applications, including inverse trigonometric functions.

 Objective: To extend the knowledge of trigonometry for more complex problem solving scenarios.

 4. Determinants and Matrices

 Content: Introduction to matrices, operations on matrices, and determinants.

 Objective: To understand matrix theory, which is essential for linear algebra and other mathematical applications.

 5. Determinants and Matrices (Continued)

 Content: Continued exploration of the properties and applications of matrices and determinants.

 Objective: To gain proficiency in solving systems of linear equations and related problems.

 6. Straight Line

 Content: The equation of a straight line, slope, intercept, and related geometric principles.

 Objective: To understand the properties of straight lines and how they are represented algebraically.

 7. Circle

 Content: Equations of a circle, properties, and geometric interpretations.

 Objective: To explore the properties of circles and solve related mathematical problems.

 8. Conic Sections

 Content: Study of ellipses, parabolas, and hyperbolas.

 Objective: To develop an understanding of conic sections and their applications in geometry.

 9. Measures of Dispersion

 Content: Concepts of range, variance, standard deviation, and other statistical measures.

 Objective: To learn methods of measuring variability in data sets.

 10. Probability

 Content: Basic probability theory, including permutations, combinations, and probability distributions.

 Objective: To understand and apply the principles of probability to real world scenarios.

 11. Complex Numbers

 Content: Introduction to complex numbers, operations, and their geometric representations.

 Objective: To explore the properties of complex numbers and their application in algebra.

 12. Sequences and Series

 Content: Arithmetic and geometric progressions, infinite series.

 Objective: To study sequences, series, and their summations for various mathematical applications.

 13. Permutations and Combination

 Content: The principles of counting, permutations, and combinations.

 Objective: To solve problems involving arrangements and selections.

 14. Methods of Induction and Binomial Theorem

 Content: Mathematical induction and the binomial theorem.

 Objective: To learn the principle of mathematical induction and its application in proving statements, along with the binomial theorem for expansions.

 15. Sets and Relations

 Content: Basic set theory, types of relations, and their properties.

 Objective: To understand set operations and relations, which are fundamental in mathematics.

 16. Functions

 Content: Definitions of functions, types of functions, and their properties.

 Objective: To learn about different types of functions and their applications in calculus and algebra.

 17. Limits

 Content: Introduction to limits, techniques of finding limits, and their properties.

 Objective: To understand the foundational concept of limits, which is essential in calculus.

 18. Continuity

 Content: Definition and properties of continuous functions.

 Objective: To develop an understanding of continuity in functions and its importance in calculus.

 19. Differentiation

 Content: Basics of differentiation, rules of differentiation, and applications.

 Objective: To introduce the concept of derivatives and their use in various mathematical and realworld applications.