Course Curriculum
Introduction | |||
Introduction | FREE | 00:03:00 | |
Functions | |||
What is Function? | 00:07:00 | ||
Vertical Line Test | 00:04:00 | ||
Value of a Function Graphically | 00:08:00 | ||
Domain Range of a function Algebraically | 00:13:00 | ||
Domain Range of a function Graphically | FREE | 00:06:00 | |
Even & Odd Functions | 00:07:00 | ||
One to one Function | 00:05:00 | ||
Composite Functions | 00:09:00 | ||
How to draw Rational Functions- 1 | 00:04:00 | ||
How to draw Rational Functions- 2 | 00:10:00 | ||
Inverse of a function Algebraically | 00:05:00 | ||
Inverse of a function Graphically | 00:09:00 | ||
Practice Problems 1 | 00:10:00 | ||
Practice Problems 2 | 00:08:00 | ||
Resources Downloads | 00:40:00 | ||
Quadratic Equations | |||
Introduction to Quadratic Equations | 00:04:00 | ||
Solving Quadratic Equations by Factorization method | 00:10:00 | ||
Writing in completed square form | 00:08:00 | ||
Solving by completed square method | 00:08:00 | ||
Sketching of Quadratic Graphs | 00:11:00 | ||
Quadratic graphs using Transformations | 00:06:00 | ||
Quadratic inequalities | 00:11:00 | ||
Deriving Quadratic formula | 00:05:00 | ||
Solving problems using Quadratic Formula | 00:06:00 | ||
Equations reducible to Quadratic | 00:07:00 | ||
Nature of Roots of Quadratic Equations | 00:04:00 | ||
Nature of roots continues | 00:12:00 | ||
Quadratic Equations (Resources) | 00:50:00 | ||
Co-ordinate Geometry | |||
Distance formula | 00:15:00 | ||
Mid point formula | 00:05:00 | ||
Gradient of a line | 00:10:00 | ||
Graphing using gradient and y intercept | 00:02:00 | ||
Some standard lines | 00:04:00 | ||
Slope intercept form y = m x +c | 00:05:00 | ||
Point slope form and two point form | 00:10:00 | ||
Intersection of line and parabola | 00:09:00 | ||
Practice Problems from past papers (part 3) | 00:12:00 | ||
Sequence and series | |||
Sequence and series ( video) | 00:08:00 | ||
Arithmetic Sequence | 00:10:00 | ||
General term of an A.P. | 00:07:00 | ||
Finding given term is which term? | 00:05:00 | ||
Writing sequence when two terms are known | 00:00:00 | ||
Condition for three terms to be in A.P. | 00:05:00 | ||
Sum to n terms of A.P. | 00:06:00 | ||
Practice Problems 1 (A.P.) | 00:08:00 | ||
Practice problems 3 (A.P.) | 00:07:00 | ||
Practice problems 4 (A.P.) | 00:10:00 | ||
Geometric Progressions | 00:11:00 | ||
Sum to n terms in G.P. | 00:14:00 | ||
Sum to infinite Terms in G.P. | 00:13:00 | ||
Practice Problems 1 (GP) | 00:13:00 | ||
Practice Problems 2 (GP) | 00:06:00 | ||
Practice Problems based on AP and GP both | 00:15:00 | ||
Sequence and series Text 1 | 00:40:00 | ||
Sequence and series Text 2 | 00:35:00 | ||
Binomial Theorem | |||
What is Factorial? | 00:06:00 | ||
n-choose –r problems | 00:06:00 | ||
Properties of n – choose -r | 00:05:00 | ||
Expanding using Binomial Theorem | 00:11:00 | ||
Expanding using Binomial Theorem | 00:11:00 | ||
Finding the indicated term in the Binomial expansion | 00:10:00 | ||
Finding the indicated term in the Binomial expansion | 00:10:00 | ||
Finding the indicated term from end | 00:09:00 | ||
Finding the coefficient for given exponent (index) of the variable | 00:08:00 | ||
Finding the term independent of variable | 00:05:00 | ||
Expanding in increasing and decreasing powers of x | 00:09:00 | ||
Practice Problems 1 | 00:10:00 | ||
Practice Problems 2 | 00:08:00 | ||
Practice Problems 3 | 00:07:00 | ||
Past papers problems 1 | 00:15:00 | ||
Past Paper problems 2 | 00:13:00 | ||
Past Paper problems 3 | 00:09:00 | ||
Resources in this section | 00:45:00 | ||
Differentiation | |||
What is Derivative? | 00:07:00 | ||
Derivation of formula for Derivative | 00:06:00 | ||
Differentiation by definition or First Principle | 00:06:00 | ||
Power Rule | 00:20:00 | ||
Practice Problems on Power Rule 1 | 00:07:00 | ||
Practice Problems on Power Rule 2 | 00:07:00 | ||
Practice Problems on Power Rule 3 | 00:05:00 | ||
Practice Problems on Power Rule 4 | 00:11:00 | ||
Practice Problems on Power Rule 5 | 00:07:00 | ||
Tangents and Normals | |||
Tangents and Normals- Basics | 00:12:00 | ||
Practice- Tangents and Normals Part 1 | 00:16:00 | ||
Practice- Tangents and Normals Part 2 | 00:13:00 | ||
Practice- Tangents and Normals Part 3 | 00:11:00 | ||
Practice- Tangents and Normals Part 4 | 00:14:00 | ||
Stationary Points & Curve Sketching | |||
Stationary Points – Basics | 00:13:00 | ||
Practice- Increasing Decreasing & Maxima Minima part 1 | 00:11:00 | ||
Practice- Increasing Decreasing & Maxima Minima part 2 | 00:12:00 | ||
Practice- Increasing Decreasing & Maxima Minima part 3 | 00:10:00 | ||
Second Derivative Test (Maximum & Minimum Points) | |||
Concavity-Basics | 00:02:00 | ||
Concavity & Second Derivative | 00:08:00 | ||
Second Derivative Test | 00:09:00 | ||
Practice Problem of Maxima Minima using second derivative test Part 1 | 00:04:00 | ||
Practice Problem of Maxima Minima using second derivative test Part 1 | 00:17:00 | ||
Practice Problem of Maxima Minima using second derivative test Part 2 | 00:10:00 | ||
Practice Problem of Maxima Minima using second derivative test Part 3 | 00:07:00 | ||
Practice Problem of Maxima Minima using second derivative test Part 4 | 00:07:00 | ||
Applications of Maxima and Minima Part 1 | 00:09:00 | ||
Applications of Maxima and Minima Part 2 | 00:07:00 | ||
Applications of Maxima and Minima Part 3 | 00:10:00 | ||
Applications of Maxima and Minima Part 4 | 00:09:00 | ||
Applications of Maxima and Minima Part 5 | 00:10:00 | ||
Applications of Maxima and Minima Part 6 | 00:08:00 | ||
Past Paper Problems on applications of maxima and minima Part 1 | 00:09:00 | ||
Past Paper Problems on applications of maxima and minima Part 2 | 00:09:00 | ||
Past Paper Problems on applications of maxima and minima Part 3 | 00:08:00 | ||
Past Paper Problems on applications of maxima and minima Part 4 | 00:07:00 | ||
Chain Rule | 00:12:00 | ||
Rate of change part 1 | 00:05:00 | ||
Rate of change part 2 | 00:11:00 | ||
Rate of change part 3 | 00:07:00 | ||
Past Paper Problems using chain rule -1 | 00:06:00 | ||
Past Paper Problems using chain rule – 2 | 00:07:00 | ||
Past Paper Problems using chain rule 3 | 00:07:00 | ||
Past Paper Problems using chain rule -4 | 00:04:00 | ||
Simultaneous Linear equations | |||
Graphical Method of solving pair of linear equations | 00:10:00 | ||
Video lecture on Graphical method | 00:05:00 | ||
Method of elimination by substitution | 00:10:00 | ||
Video lecture on substitution method | 00:06:00 | ||
Method of elimination by equating the coefficients | 00:10:00 | ||
Video lecture on equating coefficients method | 00:09:00 | ||
Practice Problems on Linear equation | 00:20:00 | ||
Essential Revision | |||
How to take up this course? | 00:10:00 | ||
Background of Algebra | 00:10:00 | ||
Language of Algebra | 00:00:00 | ||
Finding Values of algebraic expressions | 00:14:00 | ||
Fractional Indices | 00:10:00 | ||
Higher Indices | 00:07:00 | ||
Rules of Brackets | 00:04:00 | ||
Simplification by removing brackets (BODMAS) | 00:11:00 | ||
Simplifications of Algebraic Fractions | 00:07:00 | ||
Solving complex Linear Equations in one variable | 00:10:00 | ||
Factorization by taking out common factor | 00:10:00 | ||
Factorization by grouping the terms | 00:09:00 | ||
Factorize using identity a ² – b ² | 00:07:00 | ||
Factorization by middle term split | 00:12:00 |
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