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.
