Course Curriculum
-
Bridge Course
- Unitary Method & Unit Conversion
- Ratio & Proportion, Percentage
- ICE on Unitary Method, Ratio & Proportion, Percentage
- ICE Discussion
- Angles as a Form of Measurement, Measuring Angles- Degrees and Radians, The Unit Circle.
- Compound Angle Formulae, Reducing Large Angles, Double Angles
- Discussion of DPP (Trigonometry)
- Recape of Coordinate Geometry
- Inclination and Slope of a line, Various forms of equation of a line
-
Basic Maths
- Introduction to Logarithms
- Properties (Laws) of Logarithms
- Log-Antilog-Table
- How to use Log Table and Antilogarithm Table
- ICE on Indices and Logarithms
- Differentiation
- ICE on Differentiation
- Chain Rule and Maxima Minima
- ICE on Chain Rule and Maxima Minima
- Integration
- Discussion of ICE on Integration
-
Sets
- Introduction to Sets, Representation, Types of Sets
- ICE 01 Discussion
- Worksheet – 01
- Subset, Universal Set, Power Set & Intervals
- Discussion: In Class Exercise – 02
- Sets: Worksheet – 02
- Discussion: Home Assignment – 02
- Venn Diagrams, Set Operations (Part 1)
- Set Operations (Part 2), De Morgan’s Laws
- Discussion: In Class Exercise – 03 (Part 1)
- Discussion: In Class Exercise – 03 (Part 2)
- Sets: Worksheet – 03
- Discussion: Home Assignment – 03 (Part 1)
- Discussion: Home Assignment – 03 (Part 2)
- Applications of Set Theory
- Discussion: In Class Exercise – 04 (Part 1)
- Discussion: In Class Exercise – 04 (Part 2)
- Sets: Worksheet – 04
- SETS : Basic MCQ’s
- SETS : Basic MCQ’s Solutions
-
Relations & Functions
- Ordered Pair & Cartesian Product of Sets
- Relations
- ICE 01 Discussion
- Worksheet 01
- Functions
- Domain of Real Functions
- Range of Real Functions
- Real Functions Part 1
- Real Functions Part 2
- Real Functions Part 3
- Worksheet 02
- Algebra of Real Functions
- ICE 02 (Part 1) Discussion
- ICE 02 (Part 2) Discussion
- ICE 03 Discussion
- Worksheet 03
-
Statistics
- Introduction
- Measures of Dispersion
- Mean Deviation for Discrete Frequency Distribution
- Mean Deviation for Continuous Frequency Distribution
- Worksheet : 01
- ICE 01 Discussion
- Variance & Standard Deviation
- Variance & Standard Deviation (Part 2)
- Effect of change in observations on Mean, Variance & Standard Deviation
- Variance & Standard Deviation for Discrete Frequency Distribution
- Variance & Standard Deviation for Continuous Frequency Distribution
- ICE 02 Discussion
- Worksheet : 02
- ICE 04 Discussion
- Worksheet : 04
-
Sequences & Series
- Introduction to Sequences, ICE 01 Discussion
- Worksheet : 01
- A.P. and its Properties
- ICE 02 Discussion
- Worksheet : 02
- Arithmetic Mean
- ICE 03 (Part 1) Discussion
- ICE 03 (Part 2) Discussion
- Worksheet : 03
- ICE 04 Discussion
- Worksheet : 04
- Geometric Progression
- Sum of n terms of G.P.
- Geometric Mean
- ICE 05 (Part 1) Discussion.
- ICE 05 (Part 2) Discussion
- ICE 05 (Part 3) Discussion
- Worksheet : 05
- Relation between A.M and G.M
- ICE 06 Discussion
- Worksheet : 06
- Special Series
- ICE 08 Discussion
- Worksheet : 08
-
Trigonometry
- Measurement of Angle, Unit Circle
- ICE 01 Discussion
- Worksheet : 01
- Graphs of Trigonometric Functions
- Large Angle Deduction
- Trigonometric Functions for Negative Angles
- ICE 02 Discussion
- Worksheet : 02
- Trigonometric Identities (Compound Angles, Transformation Formula)
- ICE 03 Discussion
- Worksheet : 03
- Complementary Angles
- ICE 04 (Part 1) Discussion
- ICE 04 (Part 2) Discussion
- Worksheet : 04
- Trigonometric Identities (Multiple & Sub-Multiple Angles)
- ICE 05 Discussion
- Worksheet : 05
- Basic MCQs
-
Linear Inequalities
- Inequalities, ICE 01 Discussion
- Worksheet : 01
- Problem Solving Methods
- ICE 02 Discussion
- Worksheet : 02
- System of Linear Inequalities in One Variable
- ICE 03 Discussion
- Worksheet : 03
- Applications of Linear Inequalities in One Variable
- ICE 04 Discussion
- Worksheet : 04
- Linear Inequalities in Two Variables
- ICE 05 Discussion
- Worksheet : 05
- System of Linear Inequalities in Two Variables
- ICE 06 Discussion
- Worksheet : 06
-
Mathematical Reasoning
-
Complex Numbers
- Introduction to Complex Numbers
- ICE 01 Discussion
- Worksheet : 01
- Algebra of Complex Numbers
- ICE 02 Discussion
- Worksheet : 02
- Conjugate of a Complex Number
- Modulus of a Complex Number
- Square Roots of a Complex Number
- ICE 03 Discussion
- Worksheet : 03
- Geometrical Representation of a Complex Number
- Polar Form of a Complex Number
- ICE 04 Discussion
- Worksheet : 04
- Quadratic Equations
- ICE 05 Discussion (Quadratic Equations)
- Worksheet : 05
-
Straight Lines
- Recall of Coordinate Geometry
- ICE 01 Discussion
- Worksheet : 01
- Slope of a Straight Line
- Angle between two lines
- ICE 02 Discussion
- Worksheet : 02
- Various Forms of Equation of Line
- ICE 03 (Part 1) Discussion
- Worksheet : 03
- ICE 03 (Part 2) Discussion
- General Equation of a Line
- Finding Angle between Lines with the help of General Equation
- Equation of Family of Lines
- ICE 04 (Part 1) Discussion
- Worksheet : 04
- ICE 04 (Part 2) Discussion
- Distance of a Point from a Line
- Distance between parallel lines
- ICE 05 (Part 1) Discussion
- Worksheet : 05
- ICE 05 (Part 2) Discussion
- Shifting of Origin
- ICE 06 Discussion
- Worksheet : 06
- ICE 07 Discussion
- Worksheet : 07
-
Conic Sections
-
Introduction to Three Dimensional Geometry
-
Permutations and Combinations
- Fundamental Principle of Counting
- ICE 01 Discussion
- Worksheet : 01
- Factorial Notation and Permutations
- ICE 02 Discussion
- Worksheet : 02
- ICE 03 Discussion
- Worksheet : 03
- Special Cases of Permutation
- ICE 04 (Part 1) Discussion
- Worksheet : 04
- ICE 04 (Part 2) Discussion
- Combinations
- ICE 05 Discussion
- Worksheet : 05
- Applications of Combinations
- ICE 06 Discussion
- Worksheet : 06
-
Probability
- Experiments, Events and Algebra of Events
- ICE 01 Discussion
- Worksheet : 01
- ICE 02 Discussion
- Worksheet : 02
- Axiomatic Approach to Probability
- ICE 03 (Part 1) Discussion
- Worksheet : 03
- ICE 03 (Part 2) Discussion
- ICE 04 (Part 1) Discussion
- Worksheet : 04
- ICE 04 (Part 2) Discussion
- ICE 05 Discussion
- Worksheet : 05
-
Limits and Derivatives
- Introduction to Limits
- ICE 01 Discussion
- Worksheet : 01
- Limits of Rational Functions
- Standard Limits
- ICE 02 Discussion
- Worksheet : 02
- Trigonometric Limits
- Problems based on Trigonometric Limits
- ICE 03 Discussion
- Worksheet : 03
- Limits of Exponential and Logarithmic Functions
- ICE 04 Discussion
- Worksheet : 04
- Derivatives
- ICE 05 Discussion
- Worksheet : 05
- ICE 05 (Part 2) Discussion
- ICE 06 Discussion
- Worksheet : 06
- ICE 07 Discussion
- Worksheet : 07
-
Binomial Theorem
Instructors
