PDF | This book is intended to encourage an understanding and appreciation of Elective Mathematics at the Senior High School level in West. AKRONG SERIES ELECTIVE MATHEMATICS CHAPTER ONE Sets Introduction If you want to prepare a cake, you need flour, eggs, margarine, baking. AKRONG SERIES ELECTIVE MATHEMATICS CHAPTER THREE Binary Operations Introduction In this section, we consider operations on a non- empty set.
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Elective Maths - Download as Word Doc .doc /.docx), PDF File .pdf), Text File . txt) or read online. Mathematics is a core subject in the New Senior Secondary Curriculum and is a Instead of the provision of an elective subject in mathematics, an Elective Part. Aki Ola Elective Mathematics - medical-site.info Download. Aki-ola-elective- medical-site.info - aki-ola publications. Shs elective.
This book is therefore designed to help students to: 1 acquire the basic skills and understanding which is vital to examination success. I have gone to great lengths to make this text both pedagogically sound and error-free.
If you have any suggestions, or find potential errors, please contact the writer at akrongh yahoo. I am also grateful to Prof. Jackson Professor of Statistics of Methodist University College Ghana, for reading a draft of the book and offering helpful comments and suggestions. I am also indebted to Nana Owusu Mensah Essel who assisted me greatly by spending much time in editing every single chapter of this book.
The publication of this book could not continue without the advice and persistent encouragement of Mr. I would like to thank Mr. Salifu Addo and Mr. Adolf Hansen for reading through some parts of the draft of this book and for making valuable suggestions for its improvement. Finally, my sincere gratitude goes to Mr. Ludwig Hesse Department of Urban Roads, Accra for their moral support, encouragement and for providing professional guidelines.
Binary Operations Relations and Functions Quadratic Functions Polynomial Functions Rational Functions Indices and Logarithmic Functions Experimental law Binomial Theorem Therefore Fig.
Notice that T inside that of P. The power set of S is usually denoted 2S or P S.
Power sets are larger than the sets associated with them. Definitions 1. When the elements of a set are arranged in increasing order of magnitude, the first element the least member is called the lower limit whilst the last element the greatest member is the upper limit. A set is said to be finite if it has both lower and upper limits. In other words, a set is finite if the first and the last members can be found.
A finite set is also called a bounded set. A set without a lower or upper limit or both is called an infinite set. An infinite set is also called an unbounded set. Exercise 1 a 1. List the elements of P and Q. Write out the following statements in full.
Rewrite the following using set notation. Rewrite the following in symbols. Use a Venn diagram to illustrate the following statements: Consider the following statements p: All scientists are introverts, q: All introverts are anti-social.
Draw a Venn diagram to illustrate the above statements.
Look at these statements: All final year students are in the SRC, t: Consider the following statements: All my friends like Coca-cola, b: All who like Coca-cola are very studious. The team is made up of 8 sprinters and 5 hurdlers.
He realised that there were 10 athletes in his residence. He checked and found that all the athletes were present. Can you explain it? The solution is much easier using a Venn diagram. We shall use S and H to denote the sets of students who are sprinters and hurdler respectively. The shaded regions Fig. Show all the members of each set. A Example 1. C P f How many students like Physics or Chemistry?
That is 4. In a group of 50 traders, 30 sell gari, and 40 sell rice. Each trader sells at least one of the two items.
How many traders sell both gari and rice? In a class of 42 students, 26 offer Mathematics and 28 offer Chemistry. If each student offers at least one of the two subjects, find the number of students who offer both subjects.
In a class of 42 students each student studies either Economics or Accounting or both. If 12 students study both subjects and the number of students who study Accounting only is twice that of those who study Economics only, find how many students study i Economics, ii Accounting. Accounting, Business management BM and Commerce. Represent by shading, on a Venn diagram, the region that represent the number of students who offer the following: The required shaded regions are as shown in the Venn diagrams below.
Each student in the class studies at least one of the three subjects. Mathematics, Economics and Accounting. Eight 8 students study none of them. The following table gives further details of the subjects studied. Each student offers at least one of the three subjects. Illustrate the information on a Venn diagram. Find the number of students who offer: If the number of students who study only Physics is equal to that of those who study only Chemistry, Illustrate the given information on a Venn diagram and find the number of students who study i Only Physics, ii Chemistry, iii Only one subject.
In a class of 80 students, 40 study Physics, 48 study Mathematics and 44 study Chemistry. If every student studies at least one of the three subjects, find: If the number of teachers who liked Unique only was double that of those who preferred all the three stations, illustrate this information on a Venn diagram.
Find the number of teachers who liked: In a class of 70 students, 45 offer Mathematics, 37 offer Chemistry and 43 offer Physics.
Illustrate the information in a Venn diagram. There are 65 pupils in a class. All the students do at least one of the three programs. Ten 10 do all the three programs while 18 do Arts and Business. Represent this information on a Venn diagram i How many pupils do only two subjects ii If a pupil is selected at random, what is the probability that he studies either Arts or Science?
There are 40 players in Presec football team. If the number of students who play only midfield is equal to that of those who play only attack, represent this information on a Venn diagram. The publication of this book could not continue without the advice and persistent encouragement of Mr.
I would like to thank Mr. Salifu Addo and Mr. Adolf Hansen for reading through some parts of the draft of this book and for making valuable suggestions for its improvement.
Finally, my sincere gratitude goes to Mr. Ludwig Hesse Department of Urban Roads, Accra for their moral support, encouragement and for providing professional guidelines.
Binary Operations Relations and Functions Quadratic Functions Polynomial Functions Rational Functions Indices and Logarithmic Functions Experimental law Binomial Theorem Linear Programming Coordinate Geometry Straight Lines Coordinate Geometry Circles Sequence and Series Permutation and Combination Probability Applications of Differentiation Application of Integrations Vectors in a plane Mechanics Statics Mechanics Dynamics