1. Matrices
Description: This web link contains a video on the history of matrices.
Core Concepts: History of matrices
Link: Video on the History of matrices
Description: This web link leads to a web page detailing the utilities and scope of matrices.
Core Concepts: Utility and scope of matrices
Link: Web page on utility and scope of matrices
Description: This web link contains a pdf file with some questions 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 pdf file with some questions on multiplication of matrices.
Core Concepts: Multiplication of matrices.
Link: Worksheet on Matrix multiplications
Description: This web link contains a video lesson on the properties of matrix multiplication.
Core Concepts: Properties of matrix multiplication.
Link: Video on matrix multiplications
Description: This web link contains a video on the transpose of a matrix.
Core Concepts: Transpose of a matrix.
Link: Video on transpose of a matrix
Description: This web link contains a video on the adjoint of a matrix.
Core Concepts: Adjoint of a matrix.
Link: Video on the adjoint of a matrix
Description: This video contains finding the inverse of 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 finding 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.
2. Annuities
Description: This web link contains a webpage on the history and introduction of annuity.
Core Concepts: History and Introduction of annuities.
Link: Web page on the history and introduction of annuities
Description: This web link contains a video lesson explaining the concept of annuity.
Core Concepts: Concept of Annuity.
Link: Video on the concept of annuity
Description: This web link contains a video lesson explaining the types of annuities.
Core Concepts: Types of Annuity.
Link: Video on the types of annuity
Description: This web link contains a video lesson explaining the differences between future value and present value of annuity.
Core Concepts: Future and Present value.
Link: Present value vs Future value of annuity
Description: This web link contains a video lesson explaining the derivation of the formula for the future value of annuity.
Core Concepts: Future value of annuity.
Link: Future Value Formula Derivation
Description: This web link contains video lessons explaining the examples of future value of annuity.
Core Concepts: Future value of annuity.
Links:
- Video on the future value of annuity 1
- Video on the future value of annuity 2
- Video on the future value of annuity 3
Description: These web links contain three online banking calculators for recurring deposits and loans.
Core Concepts: Future and Present value
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Description: These web links contain video lessons explaining the derivation of the formula for the present value of annuity.
Core Concepts: Present value of annuity.
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Description: These web links contain video lessons on the examples of application of present value.
Core Concepts: Present value of annuity.
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Description: This web link contains a video lesson explaining the annuity perpetuity.
Core Concepts: Annuity Perpetuity.
3. Discount
Description: These web links contain a webpage and a video lesson on the history of discounts and bills of exchange.
Core Concepts: Introduction to Discount.
Description: This web link contains a pdf file of chapter 26 of BHSEC Book I.
Core Concepts: Discount.
Link: PDF on Reference to discounts and bankers gain topics
Description: This web link contains a pdf file with questions on discounts that students have learned in class X.
Core Concepts: Practice questions on trade discounts.
Link: Worksheet on discounts
Description: This web link contains a video on the concept of bills of exchange.
Core Concepts: Bills of exchange.
Link: Video on Bills of Exchange Concept
Description: This web link contains a webpage explaining the differences between the true discount and bankers discount.
Core Concepts: True discount and bankers discount.
Link: Web page on true discount vs bankers discount
Description: This web link contains a video lesson on the examples of Bills of exchange problems.
Core Concepts: Examples of Bills of exchange.
4. Permutations and Combinations
Description: This web link contains a web page with notes on the introduction of permutation and combinations and its history.
Core Concepts: Introduction of permutation and combination.
Link: WP on Introduction of permutation and combination
Description: This web link contains a webpage that provides information on the utility and scope of learning permutations and combinations.
Core Concepts: Utility and scope of permutation and combination.
Link: WP on the utility and scope of permutation and combination
Description: Explains fundamental principle counting.
Core Concepts: Fundamental principle of counting.
Link: Video on the fundamental principle of counting
Description: This web link contains a video lesson on calculating permutation.
Core Concepts: Calculating permutation in general case.
Link: Video on general permutation
Description: This web link contains a video lesson about the permutation of repeated items.
Core Concepts: Permutation of repetition cases.
Link: Video on the permutation of repeated items
Description: These web links contain video lessons on permutation of letters of a word.
Core Concepts: Permutation of letters.
Links:
Description: This web link contains a video lesson sharing the knowledge about on circular permutation.
Core Concepts: Circular permutation.
Link: Video on circular permutation
Description: This web link contains a video on the comparison of permutation and combination.
Core Concepts: Comparing permutation and combination.
Link: Video link on comparing permutation and combination
Description: This web link contains a video on the combination examples.
Core Concepts: Combination.
5. Differentiation
Description: These web links contain videos on the history and introduction of calculus and differentiation.
Core Concepts: Introduction to Calculus and differentiation.
- Video on calculus introduction 1
- Video on calculus introduction 2
- Video on calculus introduction 3
- Video on calculus introduction 4
Description: This web link contains a web page that provides information on the utility and scope of differentiation.
Core Concepts: Utility and scope of differentiation.
Link: Web page on utility and scope of differentiation
Description: This web link contains video lesson on differentiation concepts.
Core Concepts: Concepts of differentiation.
Link: Video on differentiation concepts
Description: This web link contains video lesson on differentiation of quotient of two functions.
Core Concepts: Differentiation of quotient of two function.
Link: Video on differentiation by quotient rule
Description: This web link contains a video lesson on differentiating a function using chain rule.
Core Concepts: Differentiation using chain rule.
Link: Video on differentiation using chain rule
Description: This web link contains a video lesson the quotient rule of differentiating the function.
Core Concepts: Differentiation of quotient of two function.
Link: Video on differentiation using quotient rule
Description: This web link contains a video on differentiating a product of two functions.
Core Concepts: Differentiation using product rule.
Link: Video on Differentiation using product rule
Description: These web links contain video lessons on differentiation of implicit functions.
Core Concepts: Differentiation of implicit functions.
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Description: This web link contains a video lesson differentiation of parametric functions.
Core Concepts: Differentiation of parametric function.
Link: Video on differentiation of parametric function
Description: This web link contains a video lesson on the differentiation of a function concerning another function.
Core Concepts: Differentiation of function concerning other function.
Link: Video on differentiation of a function w.r.t. another function
Description: These web links contain video lessons on successive differentiation of the algebraic functions.
Core Concepts: Successive differentiation.
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6. Maxima and Minima
Description: This web page contains the Introduction of Maxima and Minima.
Core Concepts: Introduction to Maxima and Minima.
Link: Web page on Maxima and Minima
Description: This link to the PDF explains the application of maxima and minima in economics optimization theory.
Core Concepts: Utility and scope.
Link: PDF on Maxima and Minima Optimization
Description: This web link to the video explains three types of turning points (maxima, Minima and Inflexion).
Core Concepts: Stationary points.
Link: Video on exploring stationary points
Description: These web links to the videos contain explanations of the algorithm of how to determine turning points and maximum minimum values.
Core Concepts: Problem-solving of maxima and Minima
Links:
Description: This web link to the video examines on existence of inflexion point (s) or not.
Core Concepts: Inflexion point.
Link: Video on why a point of inflexion may not exist
Description: This web link to the video explains the applications of maxima and minima in commerce and economics.
Core Concepts: Applications.
7. Integration
Description: These web links contain videos on the history and introduction of integration.
Core Concepts: History and introduction of integration.
Description: This web link contains a video explaining the differences between differentiation and integration.
Core Concepts: Differences between differentiation and integration.
Link: Video on differentiation and integration
Description: This web link contains a video on basic integration rules.
Core Concepts: Integration rules.
Link: Video on integration using basic rules
Description: These web links contain two videos on the integration using the substitution method.
Core Concepts: Integration using the substitution method.
Description: This web link contains presentation slides on integration by partial fractions.
Core Concepts: Integration by partial fractions.
Link: Presentation slides on integration by partial fractions
Description: This web link contains a worksheet of some questions on integration.
Core Concepts: Integration worksheet.
Link: Worksheet on integration questions
Description: The link contains a web page which provides information on the application of calculus in economics and commerce.
Core Concepts: Application of calculus in economics and commerce.
Link: Web Page on the application of calculus in economics and commerce
8. The Conic Section
Description: This web link contains the introduction of the conic section.
Core Concepts: Introduction of conics.
Link: Web page on the introduction of conics
Description: This web page and video contain applications of conic sections in our daily lives.
Core Concepts: Utility and scope.
Links:
Description: This video explains the meaning of the conic section.
Core Concepts: Conic section concept.
Link: Video on conic section concepts
Description: This web link contains a conic section Geogebra worksheet.
Core Concepts: Conic section Geogebra worksheet.
Link: Geogebra worksheet on Conic section
Description: This video contains a derivation of the equation of the right-hand parabola with an example.
Core Concepts: Parabola
Link: Video on the equation of parabola
Description: This web link contains the parabola Geogebra worksheet.
Core Concepts: Parabola
Link: Geogebra worksheet on the parabola.
Description: The video contains the derivation of equations of left-hand parabola and vertical parabola.
Core Concepts: Parabola
Link: Video on left hand and vertical parabola
Description: These videos explain how to find the equation of a parabola when its parts are given and vice versa.
Core Concepts: Parabola
Description: These videos contain examples of parabolas in solving real-life applications.
Core Concepts: Parabola
- Concept of Parabola in solving real-life problems 1
- Concept of Parabola in solving real-life problems 2
- Concept of Parabola in solving real-life problems 3
Description: This video contains the derivation of the equation of ellipse.
Core Concepts: Ellipse
Link: Video on the equation of an ellipse
Description: This web link contains a Geogebra worksheet to explain ellipses visually.
Core Concepts: Ellipse
Link: Geogebra worksheet on an ellipse
Description: This video contains an explanation of the parts of the ellipse.
Core Concepts: Ellipse
Link: Video on parts of the ellipse
Description: These videos contain an explanation of finding the equation of an ellipse when its parts are given and vice versa.
Core Concepts: Ellipse
- Video on finding the equation of ellipse 1
- Video on finding the equation of ellipse 2
- Video on finding the equation of ellipse 3
Description: These videos contain examples of ellipse in solving real-life applications.
Core Concepts: Ellipse
- Video on concept of an ellipse in solving real-life problems 1
- Video on concept of an ellipse in solving real-life problems 2
- Video on concept of an ellipse in solving real-life problems 3
- Video on concept of an ellipse in solving real-life problems 4
Description: This link contains Geogebra explaining the hyperbola visually.
Core Concepts: Hyperbola
Link: Geogebra on hyperbola
Description: This web link to the video contains the derivation of the equation of the hyperbola.
Core Concepts: Hyperbola
Link: Video on hyperbola
Description: This web link to the video explains the parts of the hyperbola.
Core Concepts: Hyperbola and its parts
Link: Video explaining parts of the hyperbola
Description: This web link to the video contains examples of the hyperbola in solving real-life applications.
Core Concepts: Hyperbola and its application
Link: Video on the application of the hyperbola
Description: This web link contains Geogebra worksheets on types of conic sections.
Core Concepts: Worksheets on hyperbola, Ellipse and Parabola.
9. Points and their Coordinates in 3-Dimensions
Description: Web link contains a history of Points and their Coordinates in 3-Dimensions.
Core Concepts: History of Points and their Coordinates in 3-Dimensions.
Link: Web page on the 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 the application of 3-D Geometry
Description: This video contains an introduction to 3-D geometry.
Core Concepts: Introduction of 3-D geometry.
Link: Video on introduction of 3-D geometry
Description: This video includes the derivation of the distance formula.
Core Concepts: Derivation of distance formula.
Link: Video on the derivation of distance formula
Description: These videos contain section formulas.
Core Concepts: Section formula.
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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
10. 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 the application of correlation
Description: This web link contains the interpretation of value of correlation coefficient.
Core Concepts: Degree of correlation.
Link: Web page on degree of correlation coefficient
Description: This video contains an explanation of 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.
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11. Regression
Description: These web links contain an introduction to regression.
Core Concepts: Introduction of regression.
Links:
Description: These web links contain concepts and applications 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 regression line y on x.
Core Concepts: Regression line y on x.
12. Probability
Description: This web link contains an introduction of probability.
Core Concepts: Introduction of probability.
Link: Web page on introduction of probability
Description: This web link includes application of probability.
Core Concepts: Utility and scope.
Link: Web page on application of probability
Description: This video contains an explanation of addition rule with examples.
Core Concepts: Addition rule.
Link: Video on addition rule
Description: This video contains explanation of the 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 probability using permutation 2
- Video on probability using permutation 3
Description: These videos and web link 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.
