Elective/Further Mathematics Volume I
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1. SETS AND OPERATION ON SETS
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2. SURDS
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3. BINARY OPERATIONS
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4. RELATIONS AND FUNCTIONS4.1. Introduction to functions; Finding an Image/Range of a Function43m 36s4.2. Types of Functions27m 2s4.3. Domain of a Function26m 22s4.4. Range of a Function40m 31s4.5. Range of a Quadratic Function for a Given Domain11m 53s4.6. The Inverse of a Function22m 29s4.7. Composite of a Function2h 9m 51s
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5. POLYNOMIAL FUNCTIONS5.1. Introduction to Polynomial Functions23m 38s5.2. Addition, Subtraction and Multiplication of Polynomials20m 41s5.3. Division of Polynomials17m 16s5.4. The Remainder Theorem1h 2m 8s5.5. The Factor Theorem1h 10m 51s5.6. Zeroes or Roots of a Polynomial Function42m 17s5.7. Repeated Factor Theorem24m 24s
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6. RATIONAL FUNCTIONS
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7. INDICES
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8. LOGARITHM
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9. QUADRATICS9.1. Solving of Quadratic Equations by Factorization46m 57s9.2. Solving Quadratic Equations by Completing the Square28m 5s9.3. Solving Quadratic Equations in Quadratic Formula35m 46s9.4. Solving Equations in Quadratic Form18m 24s9.5. Maximum and Minimum Values of a Quadratic Function35m 41s9.6. Types or Nature of Roots1h 34m 14s9.7. Relationship Between the Roots and Coefficients of a Quadratic Equation (Part 1)1h 23m 44s9.8. Relationship Between the Roots and Coefficients of a Quadratic Equation (Part 2)51m 12s
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10. BINOMIAL THEOREM10.1. Introduction to Binomial Expansion and Pascal’s Triangle1h 54m 3s10.2. The Binomial Theorem for Positive Integral Index2h 57m 3s10.3. The General Term in the Binomial Expansion3h 10m 37s10.4. The Binomial Theorem for Fractional and Negative Indices2h 40m 50s10.5. Application of the Binomial Theorem to Approximation1h 58m 58s
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11. CO-ORDINATE GEOMETRY I11.1. Distance Between Two Points41m 56s11.2. Midpoint of Two Points19m 21s11.3. Division of a Line Segment in a Given Ratio33m 8s11.4. Gradient (Scope) of a Line Segment27m 32s11.5. Equation of a Straight Line40m 54s11.6. The Point of Intersection Between Two Lines26m 57s11.7. Parallel and Perpendicular Lines1h 48m 10s11.8. The Length of the Perpendicular Distance of a point to a given line30m 45s11.9. The Acute Angle Between Two Intersecting Lines20m 11s
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12. CO-ORDINATE GEOMETRY II12.1. Introduction and General Form of Equation of a Circle46m 23s12.2. Equation of a Circle Given the Centre and a Point on the Circumference40m 8s12.3. Equation of a Circle Given Three Points on the Circumference38m 44s12.4. Equation of a Circle Given the Ends of a Diameter23m 7s12.5. Determination of the Centre and Radius Given the Equation of a Circle.2h 19m 46s12.6. Tangent and Normal to a Circle1h 55m 53s
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13. SEQUENCE AND SERIES (A.P)13.1. Sequence and the General Term44m 21s13.2. Series and Sigma (∑) notation23m 57s13.3. Introduction to Arithmetic Progression1h 7m 1s13.4. The General Term of an Arithmetic Progression57m 22s13.5. Sum of the first ‘n’ terms of an Arithmetic Progression1h 51m 42s13.6. The Fundamental Equation24m 39s
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14. SEQUENCE AND SERIES (G.P)
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15. PERMUTATION AND COMBINATION
The three main skills that are essential for living and working are reading, analyzing, and calculation. The level of mathematics one can study depends on their ability and interests, as well as the type of career or profession they choose to pursue in life.
Elective mathematics focuses on using analogies to make judgments, differentiating values to make decisions, analyzing data, and communicating ideas using graphs and symbols.
At the senior high school level, elective mathematics expands on senior high school’s core mathematics. It serves as a prerequisite for people who intend to pursue professional engineering courses, scientific research, and a variety of other subjects at tertiary universities and other higher learning institutions.