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
- Introduction to Logarithms
- Properties (Laws) of Logarithms
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Log-Antilog-Table
- How to use Log Table and Antilogarithm Table
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ICE on Indices and Logarithms
- Differentiation
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ICE on Differentiation
- 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
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JEE Problems : (Part – 01)
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JEE Problems : (Part – 02)
- Previous Year JEE Problems
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Relations and Functions
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Relations
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Functions L1
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DPP : 01
- Domain & Range (Part 1)
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Domain & Range (Part 2)
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Basic MCQs
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Modulus Inequality
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Domain & Range (Part 3)
- Fractional Part Function
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Domain & Range (Part 4)
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Basic MCQs Solutions
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Range of Trigonometric Function
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Domain & Range (Part 5)
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Domain & Range (Part 6)
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Statistics
- Measures of Central Tendency (JEE)
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JEE Problems (Part 1)
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JEE Problems (Part 2)
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JEE Problems (Part 3)
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Sequences & Series
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Introduction to Sequences
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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
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DPP 1 of Arithmetic Progression (Ex.1 to Ex.16)
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Arithmetic Mean
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DPP 2 on Geometric Progressions ( Ex. 17 to 37)
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AGP, HP and Relations between AM, GM, HM
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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
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Graphs of Trigonometric Functions
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JEE Problems (Part 1)
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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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JEE Problems (Part 2)
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Maximum and Minimum Value of Trigonometric Functions
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Solution of Trigonometric Equations
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JEE Problems (Part 3)
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JEE Problems (Part 4)
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JEE Problems (Part 5)
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Linear Inequalities
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JEE Problems (Part 1)
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JEE Problems (Part 2)
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JEE Problems (Part 3)
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Mathematical Reasoning
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JEE (Part 1)
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JEE (Part 2)
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JEE Problems
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Complex Number
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JEE Lecture 1 Complex Number
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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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Lecture 2 Complex Number
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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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Differentiation
In this lecture we will discuss following topics:
1) Define and calculate the Average and Instanteneous rate of change
2) Relate average and instantaneous rate of change with slope of a line.
3) The concept of differentiation and list the derivatives for standard mathematical functions.
4) Rules of differentiation to find the derivatives of two or more combined functions.
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