1. Determinants
Description: This web link contains a pdf file on the “introduction” and “brief history” of the determinants.
Core Concepts: “Introduction and “History” of the Determinants.
Link: PDF file on the history of Determinant
Description: This web link contains a webpage on the importance of learning determinants, as well as the utility and scope of this chapter.
Core Concepts: “Utility” and “scope” of the Determinants.
Link: Webpage on the utility and scope of determinant
Description: This web link contains a video lesson on the concepts on determinants, its type and examples.
Core Concepts: Concepts of determinants of a Matrix.
Link: Video on the concept of Determinant
Description: This web link includes a video lesson on calculating 2x2 determinants, detailing the procedures, steps, and methods involved.
Core Concepts: Finding the determinant of order 2.
Link: Video on finding the determinant of order 2
Description: This web link contains a video lesson on calculating determinants of order 3, detailing the procedures, steps, and methods involved.
Core Concepts: Finding the determinant of order 3.
Link: Video on finding the determinant of order 3
Description: This web link contains a video lesson on finding the minor and cofactor of a determinant.
Core Concepts: Minor and cofactor of determinants .
Link: Video on understanding the Minors and Cofactors of a Determinant
Description: This web link contains a video lesson on solving a system of equations in two and three variables using Crammer’s rule.
Core Concepts: Solving a system of equations using Cramer’s rule.
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Description: This web link contains a video lesson on the concepts on what is consistency, checking through the graphical methods.
Core Concepts: Understanding the consistency of a system graphically.
Link: Video on visualizing the consistency of a system
Description: This web link includes a PDF file containing a flowchart for checking a system for consistency.
Core Concepts: Checking a system for consistency.
Link: PDF file on the consistency of a system
Description: This web link contains a video lesson on calculating minor and cofactor of determinants.
Core Concepts: Understanding the minor and cofactor of determinants.
2. Logarithm
Description: This web link contains a web page on the introduction of logarithm.
Core Concepts: Introduction on logarithm.
Link: Webpage on the introduction of logarithm
Description: This web link contains the utility and scope of logarithm.
Core Concepts: Utility and scope of logarithm.
Link: Web page on utility and scope of logarithm
Description: This web link directs to a webpage containing the laws of exponents.
Core Concepts: Laws of exponents.
Link: Laws of exponents
Description: These weblinks contain videos on the concept of logarithm.
Core Concepts: Definition logarithm.
Links:
Description: This weblink contains a video lesson on the laws and properties of logarithm.
Core Concepts: Laws and properties of log.
Link: Video on the laws of logarithm
Description: This web link contains a web page containing some questions on logarithm.
Core Concepts: Practice question on logarithm.
Link: Webpage of questions on logarithm
Description: This web link contains a video lesson on the application of the laws of logarithm.
Core Concepts: Application of the laws of logarithm.
3. Binomial Theorem
Description: This web link contains a web page on brief introduction and the history of binomial theorem.
Core Concepts: Introduction and history of binomial theorem.
Link: Webpage on the introduction of binomial theorem
Description: This web link contains a web page on the utility and scope of binomial theorems.
Core Concepts: Utility and scope on binomial theorem.
Link: Webpage on the utility and scope of binomial theorem
Description: These web links contain video lessons about the basic concept of binomial theorem.
Core Concepts: Introduction and concept of binomial theorem.
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Description: This web link contains a video lesson on the properties of binomial theorem and their importance in solving binomial theorem .
Core Concepts: Properties of binomial theorem.
Link: Properties of binomial theorem
Description: This web link contains quiz questions on binomial theorems.
Core Concepts: Quiz on binomial theorem.
4. Banking
Description: This web link contains a webpage on the introduction of Banking.
Core Concepts: Introduction of banking.
Link: Introduction to banking
5. Sequence and Series
Description: This web link contains a presentation on the history and introduction of sequence and series.
Core Concepts: History and introduction of sequence and series.
Link: Webpage on history of sequence and series
Description: This web link contains a video lesson on the differences between A.P. and G.P.
Core Concepts: Arithmetic Differences between A.P. and G.P.
Link: Video on difference between A.P. and G.P.
Description: This web link contains a video lesson on the derivation of the nth term of A.P.
Core Concepts: Arithmetic Progression and its general term.
Link: video on the derivation of general term of Arithmetic Progression
Description: This web link contains a webpage consisting of questions on the general term of an Arithmetic Progression.
Core Concepts: Questions related to the general term of an A.P.
Link: Webpage with questions on Arithmetic Progression
Description: The web link contains a video lesson on derivation of sum of n terms of an A.P.
Core Concepts: Sum of n terms of an A.P.
Link: Video on the formula of sum of n terms of A.P.
Description: This web link contains a video lesson on the concept of geometric sequence.
Core Concepts: Concept of geometric sequence.
Link: Video on the concept of G.P.
Description: This web link contains a video lesson about the general term of a geometric progression.
Core Concepts: General Term of Geometric Progression.
Link: Video on nth term of G.P.
Description: This web link contains a video on first n terms of Geometric Series.
Core Concepts: Partial sum of Geometric Series.
Link: Video on the n terms of G.P.
Description: This web link contains a video lesson on the sum of infinite Geometric Series.
Core Concepts: Sum of infinite Geometric Series.
Link: Video on the sum of infinite G.S.
Description: This web link contains a video lesson on the derivation of the sum of n natural numbers.
Core Concepts: Sum of n natural numbers.
Link: Video on the sum of natural numbers
Description: This web link contains a video lesson on the sum of squares of natural numbers.
Core Concepts: Sum of the squares of natural numbers.
Link: Video on the sum of the squares of natural numbers
Description: This web link contains a web page on the sum of the cubes of natural numbers.
Core Concepts: Sum of the cubes of natural numbers.
6. Remainder and Factor Theorem
Description: This web link contains a web page about the introduction to the remainder and factor theorem.
Core Concepts: Introduction to the remainder and factor theorem.
Link: Webpage on the remainder and factor theorem introduction
Description: This web link contains a video lesson on the application of remainder and factor theorem.
Core Concepts: Application of remainder and factor theorem.
Link: Video on the applications of remainder and factor theorem
Description: This web link contains a worksheet on remainder and factor theorem.
Core Concepts: Worksheet on remainder and factor theorem.
7. Quadratic Equations
Description: This web link contains a research paper on the history and introduction of quadratic equations.
Core Concepts: Introduction and History of quadratic equations.
Link: Research paper on Quadratic Equations
Description: These web links contain videos on the utility and scope of quadratic equations in real life.
Core Concepts: Utility and scope of quadratic equation.
Links:
- Video on utility and scope of quadratic equations 1
- Video on utility and scope of quadratic equations 2
- Video on utility and scope of quadratic equations 3
Description: This web link contains a worksheet on quadratic equations.
Core Concepts: Worksheet in quadratic equation.
Link: Worksheet on quadratic equations
Description: This web link contains a video on solving quadratic equations using formula methods.
Core Concepts: Solving quadratic equations by formula method.
Link: Video on solving quadratic equations by formula method
Description: This web link contains a video on the discriminant and the nature of roots of quadratic equations.
Core Concepts: Discriminant and nature of roots.
Link: Video on discriminant and nature of roots
Description: This web link contains a video lesson on solving quadratic inequalities algebraically.
Core Concepts: Solving quadratic inequalities algebraically.
Link: Video on solving inequalities
Description: This web link contains a video on graphing the quadratic inequality, its methods and strategies.
Core Concepts: Graphing inequality.
8. Partial Fractions
Description: This web link contains a web page containing an introduction to Partial Fractions.
Core Concepts: Introduction to partial fraction.
Link: Webpage of introduction to partial fraction
Description: This web link contains a webpage on the applications of partial fractions in real life.
Core Concepts: Utility and scope on partial fraction.
Link: Web page on utility and scope of partial fraction
Description: This web link features a video lesson on decomposing rational fractions with non-repeating linear factors in their denominators into partial fractions.
Core Concepts: Resolving rational fractions of denominators containing non-repeated linear factors.
Link: Video on resolving partial fractions with non-repeated linear factors
Description: The concepts regarding repeated linear factors, its solution and procedures are explained.
Core Concepts: Resolving rational fraction containing repeated linear factors.
Link: Video on partial fractions of repeated linear factors
Description: This web link contains a video lesson on partial fractions of rational fractions with quadratic factors.
Core Concepts: Resolving rational fraction containing repeated linear factors.
Link: Video on partial fraction of quadratic linear factors
Description: This web link contains a video lesson on partial fractions of improper rational fractions.
Core Concepts: Resolving improper fractions into partial fractions.
Link: Video on partial fractions of improper rational fractions
Description: This web link contains a web page containing some questions on partial fractions for practice.
Core Concepts: Practice questions on partial fractions.
9. Limits
Description: This web link contains a web page on the introduction of Limits.
Core Concepts: Introduction of Limits.
Link: Web page on the introduction of limits
Description: This web link contains a video lesson on the utility and scope of limits.
Core Concepts: Utility and Scope of Limits.
Link: Video on utility and scope of limits
Description: This web link contains a video lesson on the concept of limits.
Core Concepts: Concept of Limits.
Link: Video on concept of limit
Description: This web link contains a video lesson on the right and left hand limits.
Core Concepts: Right and left hand limits.
Link: Video on right and left hand limits
Description: This web link offers a video lesson on determining the existence of limits at a specific point.
Core Concepts: Determining the existence of limits at a specific point..
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Description: This web link contains a web page on the theorems of limits.
Core Concepts: Limit Theorems.
Link: Web page on limit theorems
Description: This web link provides a video lesson on evaluating the limit of a function using direct substitution.
Core Concepts: Evaluating the limit of a function using direct substitution.
Link: Video on limit by direct substitution
Description: This web link provides a video lesson on evaluating the limit of a function using factorization.
Core Concepts: Evaluating the limit of a function using direct substitution.
Link: Video on limits by factorization
Description: This web link provides a video lesson on evaluating the limit of a function using rationalisation.
Core Concepts: Evaluating the limit of a function using rationalisation.
Link: Video on limit by rationalisation
Description: This web link provides a video lesson on evaluating the limit of a function using expansion.
Core Concepts: Evaluating the limit of a function using expansion.
Link: Video on evaluating limit by expansion
Description: This web link provides a video lesson on evaluating the limit of a function at infinity.
Core Concepts: Evaluating the limit of a function at infinity.
Link: Video of limit at infinity
Description: This web link contains a live worksheet on limits.
Core Concepts: Limit worksheet.
Link: Worksheet on limits
Description: These web links contain video lessons on the concept of continuity and discontinuity of functions.
Core Concepts: Continuity and discontinuity of a function.
Links:
Description: This web link contains a video lesson on testing for continuity of a function.
Core Concepts: Testing for continuity of a function.
Link: Video on the continuity of a function
Description: This web link contains a video lesson on finding the limit of removable discontinuity.
Core Concepts: Removable discontinuity.
Link: Video on removable discontinuity
Description: This web link provides a video lesson explaining the continuity functions over an interval.
Core Concepts: Continuity of functions over an interval.
Link: Video on the continuity over an interval
Description: This web link provides a web page containing some questions on the continuity of functions.
Core Concepts: Questions on continuity of functions.
10. Differentiation
Description: These web links provide video lessons on the History of Calculus.
Core Concepts: History and Introduction of Calculus.
Links:
- Video on History of Calculus 1
- Video on History of Calculus 2
- Video on History of Calculus 3
- Video on History of Calculus 4
Description: This web link provides a video lesson on the concept of differentiation.
Core Concepts: Concept of differentiation.
Link: Video on concept of differentiation
Description: This web link provides a video on the differentiation of a function by Definition.
Core Concepts: Differentiating a function by definition/ first principle.
Links:
Description: This web link contains a video lesson on differentiating a function using the product rule.
Core Concepts: Differentiation of product of two functions.
Link: o Video on differentiating by production rule
Description: This web link contains a video lesson on differentiating a function using the quotient rule.
Core Concepts: Differentiation of quotients of two functions.
11. Integration
Description: This web link contains a pdf file containing the history of integration.
Core Concepts: History of Integral Calculus.
Link: PDF file on history of integration
Description: This web link contains a video lesson on the concept of integration.
Core Concepts: Understanding integration as a reverse process of differentiation.
Link: Video on the integration as a reverse process
Description: This web link contains a video lesson on the notation of integral.
Core Concepts: Notation and the meaning of integral sign.
Link: Video on the symbol of integration
Description: This web link contains a video lesson on the arbitrary constant of integrals.
Core Concepts: Arbitrary constant of integral.
Link: Video on the constant of integral
Description: These web links contain pdf files containing some questions on integration.
Core Concepts: Practice questions on integration.
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Description: These web links contain video lessons on integration by substitution.
Core Concepts: Integration by substitution.
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12. Points and their coordinates in 2-D
Description: This web link contains a web page on the history of coordinate geometry.
Core Concepts: History and Introduction of coordinate geometry.
Link: Web page on the history of coordinate geometry
Description: This web link contains a web page containing some utilities and scopes of coordinate geometry.
Core Concepts: Utility and Scope of Coordinate Geometry.
Link: Web page on the utility and scope of coordinate geometry
Description: This web link contains a video lesson explaining the cartesian coordinate system.
Core Concepts: Cartesian coordinate system.
Link: Video on Cartesian coordinate system
Description: This web link contains a video lesson on the distance formula.
Core Concepts: Distance between two points in 2-D plane.
Link: Video on distance formula
Description: This web link contains a video lesson on the application of distance formula.
Core Concepts: Application of distance formula.
Link: Video on distance formula applications
Description: This web link features a video lesson on the section formula for 2-D coordinates.
Core Concepts: Section formula.
Link: Video on the concept of Section formula
Description: These web links lead to web pages that contain questions on the application of the section formula.
Core Concepts: Application of section formula.
Links:
Description: This web link contains a video lesson on the derivation of section formula for external division.
Core Concepts: Section formula for external division.
Link: Video on section formula of external division
Description: This web link leads to a web page featuring interactive quiz questions on the 2-D coordinate system.
Core Concepts: Quiz on 2-D coordinate system.
13. The Straight Line
Description: This web link contains a video lesson on slope and y-intercept form of a straight line.
Core Concepts: Slope and y-intercept form of straight line.
Link: Video on slope and y-intercept form
Description: This web link contains a video lesson on the point slope form of a straight line.
Core Concepts: Point slope form of a straight line.
Link: Video on point slope form
Description: This web link contains a video lesson on the two-point form of a straight line.
Core Concepts: Two-point form of a straight line.
Link: Video on two-point form
Description: These web links contain videos on the applications of straight lines in commerce and economics.
Core Concepts: Application of straight lines in commerce and economics.
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14. The Circle and Its Theorem
Description: This web link provides a video on the definition of circle.
Core Concepts: Definition of circle.
Link: Video on definition of circle
Description: This web link contains a video on the concepts of a circle.
Core Concepts: Concept of circle.
Link: Video on the concept of circle
Description: This web link contains a video on the derivation of the equation of a circle.
Core Concepts: The equation of a circle.
Link: Video on the equation of a circle
Description: This web link contains a video on the equation of a circle in centre-radius form.
Core Concepts: The equation of a circle in centre-radius form.
Link: Video on the equation of circle in centre-radius form
Description: This web link contains a video on the equation of a circle in its diameter form.
Core Concepts: The equation of a circle in its diameter form.
Link: Video on the equation of circle in diameter form
Description: This web link contains a video on determining the centre and radius of a circle from a given equation.
Core Concepts: Determining centre and radius of a circle.
Link: Video on determining centre and radius
Description: The web link contains an interactive GeoGebra diagram on the chords of a circle: a straight line drawn from the centre of a circle to bisect a chord is perpendicular to the chord.
Core Concepts: Theorem on Chords of a Circle.
Link: Geogebra diagram of Theorem 1
Description: The web link contains an interactive GeoGebra diagram on the chords of a circle: A straight line, drawn from the centre of a circle perpendicular to a chord, bisects the chord.
Core Concepts: Theorem on Chords of a Circle.
Link: Geogebra diagram of Theorem 2
Description: The web link contains an interactive GeoGebra diagram on the chords of a circle: One and only one circle can be drawn through three points not lying in the same straight line.
Core Concepts: Theorem on Chords of a Circle.
Link: Geogebra diagram of Theorem 3
Description: The web link contains an interactive GeoGebra diagram on the chords of a circle: Equal chords of a circle are equidistant from the centre; Chords of a circle that are equidistant from the centre are equal.
Core Concepts: Theorem on Chords of a Circle.
Link: Geogebra diagram of Theorem 4 & 5
Description: The web link contains an interactive GeoGebra diagram on the chords of a circle: The angle subtended at the centre by an arc of a circle is double the angle which these subtends at any remaining part of the circumference.
Core Concepts: Theorems on Arcs and Angles.
Link: Geogebra diagram of Theorem 6
Description:The web link contains an interactive GeoGebra diagram on the chords of a circle: In a circle the angle in a semicircle is a right angle.
Core Concepts: Theorems on Arcs and Angles.
Link: Geogebra diagram of Theorem 7
Description: The web link contains an interactive GeoGebra diagram on the chords of a circle: Angles in the same segment of a circle are equal.
Core Concepts: Theorems on Arcs and Angles.
Link: Geogebra diagram of Theorem 8
Description: The web link contains an interactive GeoGebra diagram on the chords of a circle: The opposite angles of a cyclic quadrilateral are supplementary.
Core Concepts: Theorem on Chords of a Circle.
Link: Geogebra diagram of Theorem 9
Description: The web link contains an interactive GeoGebra diagram on the chords of a circle: If a side of a cyclic quadrilateral is produced, the exterior angle so formed is equal to the interior opposite angle.
Core Concepts: Theorem on Chords of a Circle.
Link: Geogebra diagram of Theorem 10
Description: The web link contains an interactive GeoGebra diagram on the chords of a circle: The tangent at any point of a circle and the radius through this point are perpendicular to each other.
Core Concepts: Theorem on Tangent Lines and Circles.
Link: Geogebra diagram of Theorem 15
Description: The web link contains an interactive GeoGebra diagram on the chords of a circle: If two circles touch each other, the point of contact lies on the straight line joining the centres of two circles.
Core Concepts: Theorem on Tangent Lines and Circles.
15. Measures of Central Tendency
Description: This web link leads to a web page introducing the concept of central tendencies.
Core Concepts: Introduction of central tendencies.
Link: Web page on the introduction of central tendencies
Description: This web link leads to a web page discussing the utility and scope of central tendencies.
Core Concepts: Utility and scope of central tendencies.
Link: Web page on the utility and scope of central tendencies
Description: These web links contain the videos on the meaning of central tendencies.
Core Concepts: Concept of central tendencies.
Links:
Description: This web link leads to a video on finding the mean using the shortcut method.
Core Concepts: Finding mean of a data by shortcut method.
Link: Video on Mean by Shortcut method
Description: This web link contains a video on how to find the mean using the step-deviation method.
Core Concepts: Finding mean of a data by step-deviation method.
Link: Video on Mean by Step-Deviation method
Description: This web link contains a video on finding the central tendencies of simple distribution data.
Core Concepts: Central tendencies of simple distribution.
Link: Video on central tendencies of simple distribution
Description: This web link contains a video on finding the central tendencies of discrete data.
Core Concepts: Central tendencies of discrete data.
Link: Video on central tendencies of discrete data
Description: This web link contains a video on finding the central tendencies of a grouped data.
Core Concepts: Central tendencies of grouped data.
Link: Video on central tendencies of grouped data
Description: This web link contains a video on finding the mode of a grouped data.
Core Concepts: Finding the mode of a grouped data.
16. Dispersion
Description: This web link contains a video on measuring the dispersion of data using standard deviation.
Core Concepts: Measuring the dispersion of data using standard deviation.
Link: Video on the standard deviation and variance
Description: This web link contains a video on finding the combined mean.
Core Concepts: Finding combined mean.
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17. Probability
Description: This web link leads to a web page detailing the history of probability.
Core Concepts: Introduction and history of probability.
Link: Web page on the history of probability
Description: This web link contains a web page detailing the utility and scope of probability.
Core Concepts: Utility and scope of probability.
Link: Web page on Utility and Scope of Probability
Description: This web link contains a video on the introduction of probability.
Core Concepts: Probability concepts.
Link: Video on probability concept
Description: These web links contain the videos on set theory concepts.
Core Concepts: Set theory.
Links:
Description: This web link provides a video on the probability of complementary events.
Core Concepts: Probability of complementary events.
Link: Video on the probability of complementary events
Description: This web link contains a video on the odds vs probability.
Core Concepts: Odds and Probability
Link: Video on odds and probability
Description: This web link contains a web page with interactive questions on probability.
Core Concepts: Interactive Probability questions
Link: Web page on probability questions
Description: These web links contain videos on the “addition rule” of probability.
Core Concepts: Addition rule of probability.
Links:
- Video on Addition Rule of Probability 1
- Video on Addition Rule of Probability 2
- Video on Addition Rule of Probability 3
Description: This web link leads to a web page with some probability questions.
Core Concepts: Application of addition rule in probability.
Link: Quiz on probability
Description: These web links contain videos on the “multiplication rule” of probability.
Core Concepts: Multiplication rule of probability.
Links:
- Video on multiplication rule of probability 1
- Video on multiplication rule of probability 2
- Video on multiplication rule of probability 3
Description: This web link contains a PDF file with questions on the application of the multiplication rule in probability.
Core Concepts: Application of multiplication rule in probability.
