Introduction |
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Introduction |
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Functions |
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What is Function? |
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Vertical Line Test |
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Value of a Function Graphically |
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Domain Range of a function Algebraically |
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Domain Range of a function Graphically |
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Even & Odd Functions |
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One to one Function |
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Composite Functions |
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How to draw Rational Functions- 1 |
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How to draw Rational Functions- 2 |
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Inverse of a function Algebraically |
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Inverse of a function Graphically |
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Practice Problems 1 |
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Practice Problems 2 |
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Resources Downloads |
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00:26:00 |
Quadratic Equations |
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Introduction to Quadratic Equations |
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Solving Quadratic Equations by Factorization method |
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Writing in completed square form |
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Solving by completed square method |
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Sketching of Quadratic Graphs |
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Quadratic graphs using Transformations |
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Quadratic inequalities |
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Deriving Quadratic formula |
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Solving problems using Quadratic Formula |
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Equations reducible to Quadratic |
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Nature of Roots of Quadratic Equations |
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Nature of roots continues |
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Quadratic Equations (Resources) |
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00:40:00 |
Co-ordinate Geometry |
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Distance formula |
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Mid point formula |
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Gradient of a line |
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Graphing using gradient and y intercept |
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Some standard lines |
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Slope intercept form y = m x +c |
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Intersection of line and parabola |
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Practice Problems from past papers (part 3) |
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Sequence and series |
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Sequence and series ( video) |
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Arithmetic Sequence |
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General term of an A.P. |
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Finding given term is which term? |
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Writing sequence when two terms are known |
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Condition for three terms to be in A.P. |
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Sum to n terms of A.P. |
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Practice Problems 1 (A.P.) |
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Practice problems 3 (A.P.) |
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Practice problems 4 (A.P.) |
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Geometric Progressions |
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Sum to n terms in G.P. |
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Sum to infinite Terms in G.P. |
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Practice Problems 1 (GP) |
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Practice Problems 2 (GP) |
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Practice Problems based on AP and GP both |
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Sequence and series Text 1 |
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00:48:00 |
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Sequence and series Text 2 |
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00:48:00 |
Binomial Theorem |
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What is Factorial? |
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n-choose –r problems |
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Properties of n – choose -r |
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Expanding using Binomial Theorem |
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Finding the indicated term in the Binomial expansion |
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Finding the indicated term from end |
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Finding the coefficient for given exponent (index) of the variable |
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Finding the term independent of variable |
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Expanding in increasing and decreasing powers of x |
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Practice problems 1 |
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Practice Problems 2 |
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Practice problems 3 |
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Past papers problems 1 |
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Past Paper problems 2 |
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Past Paper problems 3 |
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Resources in this section |
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00:48:00 |
Differentiation |
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What is Derivative? |
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Derivation of formula for Derivative |
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Differentiation by definition or First Principle |
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Power Rule |
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Practice Problems on Power Rule 1 |
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Practice Problems on Power Rule 2 |
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Practice Problems on Power Rule 3 |
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Practice Problems on Power Rule 4 |
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Practice Problems on Power Rule 5 |
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Tangents and Normals |
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Tangents and Normals- Basics |
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Practice- Tangents and Normals Part 1 |
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Practice- Tangents and Normals Part 2 |
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Practice- Tangents and Normals Part 3 |
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Practice- Tangents and Normals Part 4 |
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Stationary Points & Curve Sketching |
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Stationary Points – Basics |
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Practice- Increasing Decreasing & Maxima Minima part 1 |
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Practice- Increasing Decreasing & Maxima Minima part 2 |
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Practice- Increasing Decreasing & Maxima Minima part 3 |
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Second Derivative Test (Maximum & Minimum Points) |
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Concavity-Basics |
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Concavity & Second Derivative |
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Second Derivative Test |
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Practice Problems on second derivative |
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Practice Problem of Maxima Minima using second derivative test Part 1 |
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Practice Problem of Maxima Minima using second derivative test Part 2 |
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Practice Problem of Maxima Minima using second derivative test Part 3 |
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Practice Problem of Maxima Minima using second derivative test Part 4 |
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Applications of Maxima and Minima Part 1 |
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Applications of Maxima and Minima Part 2 |
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Applications of Maxima and Minima Part 3 |
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Applications of Maxima and Minima Part 4 |
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Applications of Maxima and Minima Part 5 |
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Applications of Maxima and Minima Part 6 |
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Past Paper Problems on applications of maxima and minima Part 1 |
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Past Paper Problems on applications of maxima and minima Part 2 |
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Past Paper Problems on applications of maxima and minima Part 3 |
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Past Paper Problems on applications of maxima and minima Part 4 |
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Chain Rule |
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Rate of change part 1 |
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Rate of change part 2 |
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Rate of change part 3 |
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Past Paper Problems using chain rule -1 |
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Past Paper Problems using chain rule – 2 |
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Past Paper Problems using chain rule 3 |
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Past Paper Problems using chain rule -4 |
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Simultaneous Linear equations |
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Graphical Method of solving pair of linear equations |
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00:10:00 |
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Video lecture on Graphical method |
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00:05:00 |
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Method of elimination by substitution |
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00:10:00 |
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Video lecture on substitution method |
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Method of elimination by equating the coefficients |
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Video lecture on equating coefficients method |
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Practice Problems on Linear equation |
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00:20:00 |
Essential Revision |
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How to take up this course? |
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00:10:00 |
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Background of Algebra |
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00:10:00 |
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Language of Alg ebra |
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00:10:00 |
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Finding Values of algebraic expressions |
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00:14:00 |
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Fractional Indices |
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00:10:00 |
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Higher Indices |
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00:07:00 |
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Rules of Brackets |
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Simplification by removing brackets (BODMAS) |
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00:11:00 |
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Simplifications of Algebraic Fractions |
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00:07:00 |
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Solving complex Linear Equations in one variable |
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00:10:00 |
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Factorization by taking out common factor |
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00:10:00 |
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Factorization by grouping the terms |
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Factorize using identity a ² – b ² |
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Factorization by middle term split |
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00:12:00 |