Mathematics 11 Mathematics 11
UNIT I: Sets and Functions
- Venn diagrams
- Cartesian product of sets
- equivalence relation Functions
- composition of functions
UNIT II: Algebra
- quadratic equations
- arithmetic-geometric progression (AGP)
- quadratic equations
- binomial theorem for positive integral index
- relations between roots and coefficients
UNIT III: Trigonometry
- trigonometric functions of compound angles
- transformation formulae
- trigonometric functions of multiple and sub-multiple angles
- height and distance
UNIT IV: Coordinate Geometry
- parabola
- ellipse
- hyperbola
- introduction to three-dimensional geometry
UNIT V: Calculus
- derivatives
- application of derivatives
- integrals
- definite integrals
- differential equations
UNIT VI: Mathematical Reasoning
- Statements, logical operations and, or, implies, implied by, if and only if (iff)
- conditional statements
- converse and contra positive of statements
UNIT VII: Statistics and Probability
- Measures of dispersion
- calculation of mean
- median and mode of grouped and ungrouped data
- empirical relation
- standard deviation
- and correlation coefficient
BETA
