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Course Curriculum 12 sections • 136 lectures • 23:03:00 total length •Introduction: 00:03:00 •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: 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: 00:15:00 •Practice Problems 2: 00:11:00 •Resources Downloads: 00:40:00 •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 •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 •Intersection of line and parabola: 00:09:00 •Practice Problems from past papers (part 3): 00:12:00 •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: 00:08:00 •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: 00:55:00 •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 •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: 00:12:00 •Practice Problems 2: 00:09:00 •Practice problems 3: 00:10:00 •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: 00:48:00 •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- 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 - 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 •Concavity-Basics: 00:02:00 •Concavity & Second Derivative: 00:08:00 •Second Derivative Test: 00:09:00 •Practice Problems on second derivative: 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: 00:10:00 •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 •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 •How to take up this course?: 00:10:00 •Background of Algebra: 00:10:00 •Language of Alg ebra: 00:10:00 •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