Mathematics 11 Mathematics 11
UNIT I: Sets and Functions
- domain and range
- the sum
- difference
- product and quotients of functions
UNIT II: Algebra
- addition and multiplication of matrices
- inverse of a matrix
- solution of linear equations (in three unknowns) using inverse of a matrix
UNIT III: Coordinate Geometry
- Straight lines in two dimensions
- slopes of a line
- area of a triangle
- conditions for the similarity of triangles
- coordinate geometry
UNIT IV: Calculus
- derivatives of a function
- continuity of a function
- derivative of a composite function
- derivative of a function
- method of differentiation
- chain rule
- and logarithmic differentiation
UNIT V: Mathematical Reasoning
- Meaning and types of reasoning
- compound statement
- statement and logical operations and, or, not
- conditional statements
- converse and contrapositive of implication
- proving a statement by contradiction
UNIT VI: Statistics and Probability
- Measure of dispersion
- range
- mean deviation
- variance and standard deviation of ungrouped/grouped data
- correlation coefficient