Mathematics 11s Mathematics 11
UNIT I: Sets and Functions
- subsets
- universal set
- Venn diagrams
- operations on sets
- complement of a set
- composition of functions
- inverse of a function
- binary operations
UNIT II: Algebra
- Principle of mathematical induction
- types of induction
- proof by induction
- general and middle term
- properties of binomial coefficients
- Pascal’s triangle
- arithmetic
- geometric and harmonic progression
UNIT III: Coordinate Geometry
- Cartesian system of rectangular coordinates
- area of a triangle
- condition of collinearity of three points in a plane
- slope of a line
- intercepts of a line on the coordinate axes
UNIT IV: Calculus
- derivatives
- mean value theorem
- chain rule
- concept of exponential and logarithmic functions
- derivatives of exponential and logarithmic functions
UNIT V: Mathematical Reasoning
- Statements
- logical operations
- compound statements
- negation
- conjunction
- disjunction
- implication
- equivalence
- truth tables
- tautology
- contradiction
- logical equivalence
- proof of implication
- problems related to logic
UNIT VI: Statistics and Probability
- Measures of dispersion
- range
- mean deviation
- standard deviation of ungrouped and grouped data
- variance
- analysis of frequency distribution with equal means but different variances
- concept of probability
- addition theorem
- multiplication theorem
- conditional probability
- independent events
BETA
