**1. Matrices**

**Description:** This video contains the history of matrices.

**Core Concepts:** History of matrices.

**Link: **Video on history of matrices

**Description:** This web link contains the utility and scope of learning matrices.

**Core Concepts:** Utility and Scope of Matrix.

**Link: **Webpage on utility and scope of matrix

**Description:** This web link contains a worksheet on addition and subtraction of matrices.

**Core Concepts:** Addition and subtraction of matrices.

**Link: **Worksheet on matrix addition and subtraction

**Description:** This web link contains a worksheet on matrix multiplications.

**Core Concepts:** Multiplication of matrices.

**Link: **Worksheet on Matrix multiplications

**Description:** This video contains the properties of matrix multiplication.

**Core Concepts:** Properties of matrix multiplication.

**Link: **Video on properties of matrix multiplication

**Description:** This video contains finding transpose of a matrix.

**Core Concepts:** Transpose of matrices.

**Link: **Video on transpose of matrices

**Description:** This video contains finding adjoints of matrices.

**Core Concepts:** Adjoint of Matrices.

**Link: **Video on adjoint of matrices

**Description:** This video contains finding the inverse of a 2x2 matrix.

**Core Concepts:** Inverse of 2x2 Matrices.

**Link: ** Video on finding inverse of 2x2 matrices

**Description:** This video contains finding an inverse of a 3x3 matrix.

**Core Concepts:** Inverse of 3x3 Matrices.

**Link: **Video on finding inverse of 3x3 matrices

**Description:** This web link contains a worksheet on inverse matrices.

**Core Concepts:** Inverse of matrices.

**Link: **Worksheet on finding inverse of matrices

**Description:** This video contains a solving system of equations using the matrix method.

**Core Concepts:** Solving system of equations using matrix method (Martin’s rule).

**Link: **Video on solving system of equations

**Description:** This video contains graphing equations of 3-D planes using Geogebra.

**Core Concepts:** Graphing equations of 3-D plane.

**Link: **Video on graphing 3-D planes

**Description:** This web link contains sample word problems.

**Core Concepts:** Sample question on matrices.

**Link: ** Pdf of sample question

**2. Complex Number**

**Description:** This webpage contains an introduction and history of complex numbers.

**Core Concepts: **Introduction on complex number.

**Link: **Webpage on introduction of complex number

**Description:** These web pages contain explanations of the utility and scope of learning complex numbers in various fields.

**Core Concepts: **Utility and scope on complex number.

**Links: **

**Description:** This video contains modulus of complex numbers.

**Core Concepts: **Modulus of complex number.

**Link: **Video on modulus of complex number

**Description:** This video contains properties of complex numbers..

**Core Concepts: **Properties of modulus of complex numbers.

**Link: **Video on properties of complex number

**Description:** This video contains arguments of complex numbers.

**Core Concepts: **Argument of complex number.

**Link: **Video on argument of complex number

**Description:** This video contains an explanation of conversion of complex numbers from cartesian to polar form.

**Core Concepts: **Polar form of complex number.

**Link: **Video on polar form of complex number

**Description:** This web link contains sample questions on polar form.

**Core Concepts: **Sample question on polar form.

**Link: **Pdf on sample questions

**Description:** This web page contains the locus of complex numbers.

**Core Concepts: **Locus of complex number.

**Link: **Web page on locus of complex number

**Description:** This video contains square roots of complex numbers.

**Core Concepts: **Square roots of complex number.

**Link: **Video on square root of complex number

**Description:** This web page contains the cube root of unity.

**Core Concepts: **Cube roots of unity.

**Link: **Web page on cube root of unity

**Description:** This web link contains MCQ on the polar form of complex numbers.

**Core Concepts: **Multiple choice questions on polar form.

**Link: **Web page on MCQ on polar form of complex numbers

**Description:** This web link contains solved examples of the locus of complex numbers.

**Core Concepts: **Solved examples on locus of complex number.

**3. Combination and Permutation**

**Description:** These web links contain history and introduction of combination and permutation.

**Core Concepts: **Introduction of permutation and combination.

**Links: **

**Description:** This web link contains real life applications of permutation and combination.

**Core Concepts: **Utility and scope of permutation and combination.

**Link: **Web page on real-life application of combination and permutation

**Description:** This video contains the fundamental principle of counting.

**Core Concepts: **Fundamental principle of counting.

**4. Permutation**

**Description:** This video contains forming numbers using digits with and without repetition of digits.

**Core Concepts: **Formation of numbers.

**Link: **Video on permutation of digits

**Description:** This video contains arranging people.

**Core Concepts: **Arranging people.

**Link: **Video on arranging people

**Description:** This video contains forming words using letters..

**Core Concepts: **Forming words.

**Link: **Video on forming words

**Description:** This video contains a circular permutation.

**Core Concepts: **Circular permutation.

**5. Combination**

**Description:** This video contains combinations.

**Core Concepts: **Combination.

**Link: **Video on combination

**Description:** This video contains problem solving using combinations.

**Core Concepts: **Problem solving using combination.

**6. Derivatives**

**Description:** This web link contains an introduction and history of derivatives.

**Core Concepts: **Introduction and history of derivative.

**Link: **Web page on introduction and history of derivatives

**Description:** This web link contains the application of derivatives.

**Core Concepts: **Utility and scope learning derivative.

**Link: **Web page on utility and scope of differentiation.

**Description:** This video contains derivatives of algebraic and trigonometric functions using chain rule.

**Core Concepts: **Chain rule.

**Links: **

**Video on derivative of algebraic function using chain rule**- Video on derivative of trigonometric function using chain rule

**Description:** This web link contains derivatives of composite functions.

**Core Concepts: **Derivative of composite function.

**Link: **Web page on derivative of composite function

**Description:** These videos contain derivatives of exponential, inverse trigonometric functions and logarithmic differentiation.

**Core Concepts: **Derivative of exponential, inverse trigonometric functions and logarithmic differentiation.

**Links: **

**Video on exponential function**- Video on logarithmic differentiation
- Video on inverse trigonometric function

**Description:** This video contains differentiation by using a transformation method.

**Core Concepts: **Differentiation by transformation method.

**Link: **Video on differentiation by transformation

**Description:** This video contains derivatives of implicit function.

**Core Concepts: **Derivative of implicit type of functions.

**Link: **Video on derivative of implicit function

**Description:** This video contains derivatives of parametric function.

**Core Concepts: **Derivative of parametric function.

**Link: **Video on differentiation of parametric function

**Description:** This video contains higher order derivatives of function.

**Core Concepts: **Higher order derivatives functions.

**Link: **Video on higher order derivatives

**Description:** This video contains maxima, minima and point of inflection.

**Core Concepts: **Maxima, minima and point of inflection.

**Link: **Video on maxima, minima and point of inflection

**Description:** This video contains identifying minima, maxima and point of inflection.

**Core Concepts: **Identifying maxima, minima and point of inflection.

**Link: **Video on identifying minima, maxima and point of inflection

**Description:** These web links contain a worksheet on differentiation of exponential and logarithmic function.

**Core Concepts: **Sample questions on differentiation.

**Links: **

**7. Integration**

**Description:** This video contains history of integration.

**Core Concepts: **History of integration.

**Link: **Video on history of integration

**Description:** These videos contain real life applications of integration.

**Core Concepts: **Utility and scope of integration.

**Links: **

**Description:** This video contains integration of trigonometric functions.

**Core Concepts: **Integration of trigonometric functions.

**Link: **Video on integration of trigonometric function

**Description:** This video contains problem solving on integration using the substitution method.

**Core Concepts: **Integration by substitution method.

**Link: **Video on integration using substitution method

**Description:** This video contains integration of exponential functions using the substitution method.

**Core Concepts: **Integration of exponential function using substitution method.

**Link: **Video on integration of exponential function using substitution method

**Description:** This video contains problem solving on integration of trig function using the integration by parts.

**Core Concepts: **Integration by parts.

**Link: **Video on integration by parts

**Description:** This PPT and video contain integration using partial fraction.

**Core Concepts: **Integration by partial fraction methods.

**Links: **

**8. Definite Integral**

**Description:** This web link contains concepts on definite integrals.

**Core Concepts: **Concepts on definite integral.

**Link: **Web page on definite integral

**Description:** This video contains evaluating integration as a limit of sum.

**Core Concepts: **Definite integral as limit of sum.

**Link: **Video on definite integral as limit of sum

**Description:** This video contains a geometrical interpretation of definite integral.

**Core Concepts: **Geometrical interpretation of definite integral.

**Link: **Video on geometrical interpretation of definite integral

**Description:** This video contains properties of definite integral.

**Core Concepts: **Properties of definite integral.

**Link: **Video on properties of definite integral

**Description:** This video contains area bounded between curve and axes.

**Core Concepts: **Area under the curve.

**Links: **

**Video on area under the curve**- Video on area between curve and x-axis
- Video on area between curve and axes
- Video on area under the curve enclosing multiple regions
- Video on area between curve and y-axis

**Description:** This video explains finding the area between two curves.

**Core Concepts: **Area between two curves.

**Link: **Video on area between two curves

**Description:** This web link contains practice questions on areas bounded by curves.

**Core Concepts: **Practice questions on area bounded by curves.

**Link: **Web page on practice questions on area bounded by curve

**Description:** This web link contains sketching curves using GeoGebra.

**Core Concepts: **Sketching curves using GeoGebra.

**Link: **Web page on sketching graph using GeoGebra

**Description:** This web link contains an animation of the solid of revolution using GeoGebra.

**Core Concepts: **Volume of solid of revolution by using GeoGebra.

**Link: **Web page on solid of revolution

**Description:** These videos contain finding the volume of revolution of a region between curve and axes.

**Core Concepts: **Volume of revolution of region between curve and axes.

**Links: **

**Description:** This video contains finding the volume of solid of revolution of the region between two curves.

**Core Concepts: **Volume of solid of revolution of region between two curves.

**Link: **Video on volume of revolution of region between two curves

**Description:** This web link contains the formation of cones by a revolving line.

**Core Concepts: **Revolving line using GeoGebra.

**Link: **Web page on revolving line using GeoGebra

**Description:** This web link contains solved examples on volume of the solid of revolution.

**Core Concepts: **Solved examples on volume of solid of revolution.

**Link: **Web page on solved examples on volume of solid of revolution

**9. Differential Equation**

**Description:** This pdf file contains the history of differential equations.

**Core Concepts: **History of differential equation.

**Link: **PDF on history of differential equations

**Description:** These videos contain definition and examples of order and degree of DE.

**Core Concepts: **Order and degree of differential equation.

**Links: **

**Description:** This video contains difference between linear and non-linear DE.

**Core Concepts: **Difference between linear and non-linear DE.

**Link: **Video on difference between linear and nonlinear DE

**Description:** These videos contain solving DE using variable separable methods.

**Core Concepts: **Solving DE using variable separable method.

**Links: **

**Video on solving DE using variable separable method**- Videos on solved examples
- Videos on finding particular solution

**Description:** This video and web link contains solving homogeneous DE.

**Core Concepts: **Homogeneous differential equation.

**Links: **

**Description:** This video contains solving first order linear DE using the integrating factor method.

**Core Concepts: **Solving first order linear DE using integrating factor method.

**10. Inverse Trigonometric Functions**

**Description:** This web link contains an introduction of the inverse trigonometric function.

**Core Concepts: **Introduction of inverse trigonometric function.

**Link: **Web page on introduction of inverse trigonometry

**Description:** This web link contains applications of inverse trigonometric function.

**Core Concepts: **Utility and scope on inverse trigonometric function.

**Link: **Web page on applications of inverse trigonometric functions

**Description:** This video contains the definition, domain, range and principal value of inverse trigonometric function.

**Core Concepts: **Definition, domain and range of inverse trigonometric functions.

**Link: **Video on definition, domain and range

**Description:** This web link contains the principal value of the inverse trigonometric function.

**Core Concepts: **Principal value of inverse trigonometric function.

**Link: **Web page on principal value

**Description:** This web link contains properties of inverse trigonometric function.

**Core Concepts: **Properties of inverse trigonometric function.

**Link: **Web page on properties of inverse trigonometric functions

**Description:** This web link contains solved sample questions.

**Core Concepts: **Solved sample questions.

**Link: **Web page on problems and solutions

**Description:** This web link contains a quiz on inverse trigonometric functions.

**Core Concepts: **Quiz

**11. Points and their Coordinates in 3-Dimensions**

**Description:** This web link contains history of Points and their Coordinates in 3-Dimensions.

**Core Concepts: **History of Points and their Coordinates in 3-Dimensions.

**Link: **Web page on history of 3-D coordinate

**Description:** This link contains applications and examples of Geometry in daily life.

**Core Concepts: **Utility and scope.

**Link: **Web page on application of 3-D Geometry

**Description:** This video contains an introduction of 3-D geometry.

**Core Concepts: **Introduction of 3-D geometry.

**Link: **Video on introduction of 3-D geometry

**Description:** This video contains a derivation of the distance formula.

**Core Concepts: **Derivation of distance formula.

**Link: **Video on derivation of distance formula

**Description:** These videos contain explanations of section formulas.

**Core Concepts: **Section formula.

**Links: **

**Description:** These videos contain direction cosines and ratios.

**Core Concepts: **Direction cosines and direction ratios.

**Links: **

**Description:** This video contains conditions of parallelism and perpendicularity of lines.

**Core Concepts: **Parallelism and perpendicularity of lines.

**Link: **Video on condition of parallelism and perpendicularity

**12. Pair of Straight Lines**

**Description:** This web link contains the history of straight lines.

**Core Concepts: **History of straight lines.

**Link: **Web page on history of straight line

**Description:** This web link contains an introduction of a pair of straight lines.

**Core Concepts: **Introduction of paris of straight lines.

**Link: **Web page on introduction of pair of straight lines

**Description:** This video and web link contains an application of a pair of straight lines.

**Core Concepts: **Utility and scope of pairs of straight lines.

**Links: **

**Description:** This video contains basic concepts of straight lines.

**Core Concepts: **Concepts of the straight lines.

**Link: **Video on concepts of straight lines

**Description:** This web link contains a GeoGebra sheet of a pair of straight lines.

**Core Concepts: **Graphing calculator of general equation.

**Link: **GeoGebra sheet on pair of straight lines

**Description:** This video contains angles between lines..

**Core Concepts: **Angles between lines.

**Link: **Video on angle between pair of straight lines

**Description:** This video contains conditions and examples for general second degree form to represent pair of straight lines.

**Core Concepts: **Conditions for general second degree form to represent pair of straight lines.

**Description:** This video contains equation of bisector of the angles for the general equation of the pair of straight lines.

**Core Concepts: **Equation of bisector.

**Link: **Video on equation of bisector

**Description:** This video contains the splitting of a pair of straight lines.

**Core Concepts: **Pairs of of straight lines from second degree.

**Link: **Video on splitting of a pair of straight lines

**Description:** This web link contains problems and solutions of a pair of straight lines.

**Core Concepts: **Questions and solutions on pairs of straight lines.

**13. Conic Section**

**Description:** This web link contains the introduction of the conic section.

**Core Concepts: **Introduction of conic section.

**Link: **Web page on history of conic section

**Description:** This web link and video contains applications of the conic section.

**Core Concepts: **Utility and scope.

**Links: **

**Description:** This web link contains a worksheet on the conic section.

**Core Concepts: **Conic section exercise.

**Link: **Worksheet on conic section

**Description:** This video contains the concept on the conic section and its type with examples.

**Core Concepts: **Concept on the conic section.

**Link: **Video on concepts of conic section

**Description:** This web link contains a GeoGebra worksheet on parabola.

**Core Concepts: **GeoGebra worksheet on parabola.

**Link: **GeoGebra worksheet on parabola

**Description:** This video contains parts of parabola.

**Core Concepts: **Parts of parabola.

**Link: **Video on parts of parabola

**Description:** This video contains a problem on the application of parabola and focus.

**Core Concepts: **Parabola and focus application.

**Link: **Video on application of parabola

**Description:** This video contains the derivation of the equation of standard parabola.

**Core Concepts: **Equation of standard parabola.

**Link: **Video on standard parabola

**Description:** This web link contains an online parabola calculator.

**Core Concepts: **Parabola online calculator.

**Link: **Online parabola-calculator

**Description:** This web link contains a GeoGebra worksheet on ellipse.

**Core Concepts: **Properties of ellipse.

**Link: **GeoGebra worksheet on ellipse

**Description:** This web link contains a GeoGebra worksheet of hyperbola.

**Core Concepts: **Properties of hyperbola.

**Link: **GeoGebra worksheet on hyperbola

**Description:** This video includes parts of an ellipse.

**Core Concepts: **Parts of ellipse.

**Link: **Video on parts of ellipse

**Description:** This video includes concepts on hyperbola.

**Core Concepts: **Concepts on hyperbola.

**Link: **Video on concepts of hyperbola

**Description:** This web link contains concepts on all types of conic sections.

**Core Concepts: **Concepts on conic sections.

**Link: **Web page on concepts of conic section

**Description:** This video contains an application of an ellipse in an elliptical pool table.

**Core Concepts: **Ellipse application.

**Link: **Video on ellipse application

**Description:** This web link contains notes on application of conic section.

**Core Concepts: **Application of conics.

**Link: **Web page on application

**Description:** This video contains identifying types of conic from the second degree general equation.

**Core Concepts: **Second degree general equation.

**Link: **Video on identifying conics

**Description:** This web link contains a GeoGebra worksheet on parabola.

**Core Concepts: **Parabola.

**Link: **GeoGebra worksheet on parabola

**Description:** This web link contains a GeoGebra worksheet on ellipse.

**Core Concepts: **Ellipse.

**Link: **GeoGebra worksheet on ellipse

**Description:** This web link contains a GeoGebra worksheet on hyperbola.

**Core Concepts: **Hyperbola.

**Link: **GeoGebra worksheet on hyperbola

**Description:** This video contains solving real world problems using parabola.

**Core Concepts: **Solving problems using parabola.

**14. Plane**

**Description:** This web link contains an introduction on planes.

**Core Concepts: **Introduction.

**Link: **Web page on introduction of plane

**Description: **This web link contains real life applications of planes.

**Core Concepts: **Utility and Scope.

**Link: **Web page on application of plane

**Description:** This video contains the definition of plane.

**Core Concepts: **Definition of plane.

**Link: **Video on definition of plane

**Description:** This video contains finding the angle between two planes.

**Core Concepts: **Angle between two planes.

**Link: **Video on angle between two planes

**Description:** This video contains finding the angle between line and plane.

**Core Concepts: **Angle between line and plane.

**Link: **Video on finding angle between line and plane

**Description:** This video contains finding the distance of a point from a plane.

**Core Concepts: **Distance of point from a plane.

**Link: **Video on distance of point from plane

**Description:** This video contains finding the distance between two parallel planes.

**Core Concepts: **Distance between two parallel planes.

**Link: **Video on distance between two parallel planes

**Description:** This video contains reducing the general equation to normal form.

**Core Concepts: **Reducing the general equation to normal form.

**Link: **Video on reduce general equation to normal form

**Description:** This video contains the definition and equation of the intercept form of the plane.

**Core Concepts: **Intercepts the form of a plane.

**15. Correlation**

**Description:** This web link contains an introduction and history of correlation.

**Core Concepts: **Introduction of correlation.

**Link: **Web page introduction of correlation

**Description:** This web link contains the application of correlation.

**Core Concepts: **Utility and scope.

**Link: **Web page on application of correlation

**Description:** This web link contains the value of correlation coefficient.

**Core Concepts: **Degree of correlation.

**Link: **Web page on degree of correlation coefficient

**Description:** This video contains finding Karl Pearson’s correlation coefficient.

**Core Concepts: **Karl Pearson’s correlation.

**Link: **Video on finding Karl Pearson's correlation coefficient

**Description:** This video contains finding Spearman’s rank correlation coefficient.

**Core Concepts: **Spearman’s rank correlation coefficient.

**Link: **Video on Spearman’s rank correlation coefficient

**Description:** This video contains finding Spearman’s rank correlation coefficient of tied ranks.

**Core Concepts: **Spearman’s rank correlation coefficient of tied ranks.

**Links: **

**15. Regression**

**Description:** These web links contain an introduction of regression.

**Core Concepts: **Introduction of regression.

**Links:**

**Description:** These web links contain concepts and application of regression.

**Core Concepts: **Utility and scope.

**Links:**

- Web page on concept and application of regression 1
- Web page on concept and application of regression 2

**Description:** This video contains the formation of the regression line y on x.

**Core Concepts: **Regression line y on x.

**16. Probability**

**Description:** This video contains an introduction of probability.

**Core Concepts: **Introduction of probability.

**Link: Web page on introduction of probability**

**Description:** This web link contains an application of probability.

**Core Concepts: **Utility and scope.

**Link: Web page on application of probability **

**Description:** This video contains the concept of addition rule with examples.

**Core Concepts: **Addition rule.

**Link: Video on addition rule **

**Description:** This video contains the concept of multiplication rule with examples.

**Core Concepts: **Multiplication rule.

**Link: Video on multiplication rule**

**Description:** This web link contains problem solving using both addition and multiplication rule..

**Core Concepts: **Addition and multiplication rule.

**Link: Web page on addition and multiplication rule **

**Description:** This video contains calculating probability through the concepts of permutation and combination.

**Core Concepts: **Probability using permutation and combination.

**Links: **

**Video on probability using combination and permutation 1****Video on probability using combination and permutation 2**

**Description:** These videos contains examples on calculating probability using permutation.

**Core Concepts: **Probability using permutation.

**Links: **

**Video on probability using permutation 1****Video on conditional probability 2****Video on probability using permutation 3**

**Description:** These videos and web links contain methods, utility and scope of conditional probability.

**Core Concepts: **Conditional probability.

**Links: **

**Video on conditional probability 1****Video on conditional probability 2****Web page on utility of conditional probability**

**Description:** This web link contains notes on conditional probability with solved examples.

**Core Concepts: **Conditional probability.

**Link: Web page on solved examples **

**Description:** This web link contains a theorem of multiplication of dependent probability with solved examples.

**Core Concepts: **Dependent probability.

**Link: Web page on theorem of multiplication dependent probability**

**Description:** This web link contains practice questions on multiplication probability.

**Core Concepts: **Multiplication probability.