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