Elective/Further Mathematics Volume I

58 hours 25 minutes 29 Enrolled 5.0 (5) All Levels

Curriculum
Description

1. SETS AND OPERATION ON SETS

1.1. Venn diagram [Two Set Problem]

48m 52s

1.2. Venn diagram [Three Set Problem]

1h 15m 22s
2. SURDS

2.1. Introduction and Rules of Surds

25m 10s

2.2. Addition and Subtraction of Surds

26m 8s

2.3. Multiplication of Surds

41m 21s

2.4. Rationalization of Surds

2h 14m 1s

2.5. Equality of Surds

1h 11m 31s

2.6. Irrational Equation

34m 18s
3. BINARY OPERATIONS

3.1. Introduction and Some Worked Example

52m 1s

3.2. Closure Property of Binary Operations

13m 53s

3.3. Commutative Property of Binary Operations

23m 14s

3.4. Associative Property of Binary Operations

37m 54s

3.5. Identity and Inverse of an Element

1h 34m 53s
4. RELATIONS AND FUNCTIONS

4.1. Introduction to functions; Finding an Image/Range of a Function

43m 36s

4.2. Types of Functions

27m 2s

4.3. Domain of a Function

26m 22s

4.4. Range of a Function

40m 31s

4.5. Range of a Quadratic Function for a Given Domain

11m 53s

4.6. The Inverse of a Function

22m 29s

4.7. Composite of a Function

2h 9m 51s
5. POLYNOMIAL FUNCTIONS

5.1. Introduction to Polynomial Functions

23m 38s

5.2. Addition, Subtraction and Multiplication of Polynomials

20m 41s

5.3. Division of Polynomials

17m 16s

5.4. The Remainder Theorem

1h 2m 8s

5.5. The Factor Theorem

1h 10m 51s

5.6. Zeroes or Roots of a Polynomial Function

42m 17s

5.7. Repeated Factor Theorem

24m 24s
6. RATIONAL FUNCTIONS

6.1. Introduction to Rational Functions

11m 37s

6.2. Principle of Undetermined Co-efficient

34m 23s

6.3. Partial Fractions (Type 1)

45m 32s

6.4. Partial Fractions (Type 2)

45m 44s

6.5. Partial Fractions (Type 3)

37m 24s
7. INDICES

7.1. Introduction and Rules/Laws of Indices (Part 1)

1h 1m 14s

7.2. Introduction and Rules/Laws of Indices (Part 2)

1h 31m 12s

7.3. Solving Exponential Equations (Part 1)

1h 8m 55s

7.4. Solving Exponential Equations (Part 2)

47m 57s
8. LOGARITHM

8.1. Introduction and Laws/Rules of Logarithm

49m 21s

8.2. Properties and Simplification of Logarithm

43m 11s

8.3. Solving Logarithm Equations

49m 4s

8.4. Change of Base

1h 6m 11s

8.5 Solving More Equations

1h 20m 56s
9. QUADRATICS

9.1. Solving of Quadratic Equations by Factorization

46m 57s

9.2. Solving Quadratic Equations by Completing the Square

28m 5s

9.3. Solving Quadratic Equations in Quadratic Formula

35m 46s

9.4. Solving Equations in Quadratic Form

18m 24s

9.5. Maximum and Minimum Values of a Quadratic Function

35m 41s

9.6. Types or Nature of Roots

1h 34m 14s

9.7. Relationship Between the Roots and Coefficients of a Quadratic Equation (Part 1)

1h 23m 44s

9.8. Relationship Between the Roots and Coefficients of a Quadratic Equation (Part 2)

51m 12s
10. BINOMIAL THEOREM

10.1. Introduction to Binomial Expansion and Pascal’s Triangle

1h 54m 3s

10.2. The Binomial Theorem for Positive Integral Index

2h 57m 3s

10.3. The General Term in the Binomial Expansion

3h 10m 37s

10.4. The Binomial Theorem for Fractional and Negative Indices

2h 40m 50s

10.5. Application of the Binomial Theorem to Approximation

1h 58m 58s
11. CO-ORDINATE GEOMETRY I

11.1. Distance Between Two Points

41m 56s

11.2. Midpoint of Two Points

19m 21s

11.3. Division of a Line Segment in a Given Ratio

33m 8s

11.4. Gradient (Scope) of a Line Segment

27m 32s

11.5. Equation of a Straight Line

40m 54s

11.6. The Point of Intersection Between Two Lines

26m 57s

11.7. Parallel and Perpendicular Lines

1h 48m 10s

11.8. The Length of the Perpendicular Distance of a point to a given line

30m 45s

11.9. The Acute Angle Between Two Intersecting Lines

20m 11s
12. CO-ORDINATE GEOMETRY II

12.1. Introduction and General Form of Equation of a Circle

46m 23s

12.2. Equation of a Circle Given the Centre and a Point on the Circumference

40m 8s

12.3. Equation of a Circle Given Three Points on the Circumference

38m 44s

12.4. Equation of a Circle Given the Ends of a Diameter

23m 7s

12.5. Determination of the Centre and Radius Given the Equation of a Circle.

2h 19m 46s

12.6. Tangent and Normal to a Circle

1h 55m 53s
13. SEQUENCE AND SERIES (A.P)

13.1. Sequence and the General Term

44m 21s

13.2. Series and Sigma (∑) notation

23m 57s

13.3. Introduction to Arithmetic Progression

1h 7m 1s

13.4. The General Term of an Arithmetic Progression

57m 22s

13.5. Sum of the first ‘n’ terms of an Arithmetic Progression

1h 51m 42s

13.6. The Fundamental Equation

24m 39s
14. SEQUENCE AND SERIES (G.P)

14.1. Introduction to Geometric Progression

1h 31m 59s

14.2. General term of a Geometric Progression

1h 47m 40s

14.3. Sum of a G.P

1h 43m 57s

14.4. Sum of Infinity of as G.P

2h 24m 56s

14.5. Recurrence Decimals

27m 42s

14.6. Recurrence Relation

1h 37m 2s
15. PERMUTATION AND COMBINATION

15.1 Algebra of Permutation and Combination

55m 29s

15.2 The Fundamental Principle of Counting

1h 5m 32s

15.3 Permutation

52m 44s

15.4 Combination

48m 43s

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.

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Stephen Kofi Konadu is a Mathematics major graduate from the University of Ghana, Legon. As a Mathematics major graduate, he knows the methods that work effectively and excellently for students at JHS and SHS levels. He believes everyone can enjoy maths; they just have to be taught in a way that complements their learning style and that is what Mr. Konadu exactly does. He has been teaching Mathematics for over ten (10) years. He works very hard as he loves teaching and has a keen interest in Mathematics. Over the years, he has gained the best experience and knowledge required to tailor lessons from the start to help students prepare for their exams. You will improve so much with his help. He is a tutor with immense knowledge, patience, thought and care gained through the numerous students he has taught. He is the best teacher who can break down difficult topics into something easier and understandable. Mr. Konadu is an amazing Mathematics teacher as he is very helpful, friendly patient and knows how to get weak students into the subject. He explains everything clearly and uses a lot of examples to aid understanding. He aims at making learning Mathematics fun and interactive for students in order for them to be able to grasp concepts and solve questions with confidence and accuracy.

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Elective/Further Mathematics Volume I

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Stephen K. Konadu

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