Elective/Further Mathematics Volume II

52 hours 58 minutes 53 Enrolled 4.7 (9) All Levels

Curriculum
Description

1. TRIGONOMETRY

1.1 Trigonometric Identities

2h 38m 47s

1.2 Trigonometric Equations

48m 59s

1.3 Maximum And Minimum Values Of A Trigonometric Function

53m 42s

1.4 Circular Measure

1h 21m 39s
2. PROBABILITY

2.1. Introduction and Worked Examples

1h 10m 48s

2.2. Mutually Exclusive and Independent Events

1h 54m 19s

2.3. Conditional Events

1h 21m 7s

2.4. The Binomial Distribution (Repeated Trials)

1h 28m 4s
3. MATRICES I

3.1. Introduction to Matrices

7m 40s

3.2. Equal Matrices

38m 39s

3.3. Types, Addition and Subtraction of Matrices

23m 42s

3.4. Multiplication of a Matrix by a Scalar

25m 43s

3.5. Multiplication of Matrices

2h 26m 9s

3.6. Determinant of a 2 x 2 Matrix

51m 50s

3.7. Inverse of a Matrix

1h 42m 40s

3.8. Matrix Equations

28m 22s
4. MATRICES II

4.1. Determinant of a 3 x 3 Matrix

1h 1m 44s

4.2. Crammer’s Rule

33m 41s
5. LINEAR TRANSFORMATION

5.1. Linear Transformation (Part 1)

1h 31m 9s

5.2. Linear Transformation (Part 2)

1h 44m 42s
6. DIFFERENTIATION

6.1. Limits of a Function

1h 7m 59s

6.2. Limits of a Trigonometric Function

23m 59s

6.3. Differentiation from First Principle

59m 46s
7. RULES OF DIFFERENTIATION

7.1. Some Basic Rules of Differentiation

31m 15s

7.2. The Product Rule

24m 59s

7.3. The Quotient Rule

12m 21s

7.4. The Chain Rule

40m 4s

7.5. Higher Derivatives

20m 11s

7.6. Implicit Differentiation

45m 47s
8. APPLICATION OF DIFFERENTIATION

8.1. Increasing and Decreasing Functions

22m 58s

8.2. Gradient, Tangent and Normal to a Curve

1h 48m 49s

8.3. Stationary Points, Stationary Values and their Nature

1h 6m 55s

8.4. Application of Maximum and Minimum Values

1h 33m 54s

8.5. Curve Sketching

40m 38s

8.6. Rates of Change

1h 4s

8.7. Small Changes; Approximate Change

45m 12s
9. INTEGRATION

9.1. Indefinite Integrals

1h 32m 3s

9.2. Definite Integrals

1h 14m 7s

9.3. Integration by Substitution

22m 21s
10. APPLICATION OF INTEGRATION
11. KINEMATICS

11.1. Uniform Acceleration

1h 18m 49s

11.2. Vertical Motion Under Gravity

58m 49s

11.3. Velocity Time Graph

1h 14m 56s

11.4. Variable Acceleration

2h 33m 15s
12. VECTORS

12.1. Multiplication of a Vector by a Scalar

7m 1s

12.2. Modulus or Magnitude or a Length of a Vector

32m 3s

12.3. Equality of Vectors

34m 40s

12.4. Position of Vectors

14m 37s

12.5. Division Theorem

1h 10m 39s

12.6. Unit Vectors

56m 51s

12.7. Scalar (or Dot) Product

1h 18m 23s

12.8. The Angle Between the Directions of Two Vectors

1h 43m 57s
13. MECHANICS

13.1. Newton’s Second Law and its Application

4h 31m 30s

13.2. Equilibrium of Forces

58m 41s

13.3. Lami’s Principle

1h 44m 29s

13.4. Impulse – Momentum Relations

38m 25s

13.5. The Principle of Conservation of Linear Momentum

1h 16m 35s

13.6. Moments

1h 58m 21s

13.7. Friction and Inclined Plane

46m 43s
14. STATISTICS
15. CORRELATION AND REGRESSION
16. LOGICAL REASONING
WASSCE 2022 MAY/JUNE

Questions & Answers

1h 36m 15s

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 also gives students who want to continue studying mathematics at post-secondary institutions and other higher education settings a strong enough foundation.

Therefore, senior high school mathematics is both continuing for students who wish to continue their studies in math, science, and other relevant fields, as well as terminal for those who will quit school to enter the workforce following SHS.

GENERAL AIMS

The syllabus is intended to assist pupils in:

1. recognize the value of using mathematics as a tool for analysis, critical thinking, and creative problem solving.

2. find relationships, patterns, and order.

3. use graphs and symbolic phrases to convey their ideas.

4. acquire quantitative skills that are useful in business, trade, and government.

5. Use ICT skillfully to solve problems and research situations in real life.

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Stephen K. Konadu

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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 II

GENERAL AIMS

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Stephen K. Konadu

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