Section outline

  • General

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  • Elementary SetsTheory

    The theory of sets lies at the foundation of mathematics. It is a concept that rears its head in almost all fields of mathematics; pure and applied.

    This unit aims at introducing basic concepts that would be explained further in subsequent units. There will be definition of terms and lots of examples and exercises to help you as you go along.

    • Sets Book
      Students must
      Mark as done

  • BASIC SET OPERATIONS

    In this unit, we shall see operations performed on sets as in simple arithmetic.

    This operations simply give sets a language of their own.

    You will notice in subsequent units that you cannot talk of sets without reference, sort of, to these operations.

  • SET OF NUMBERS

    The theory of sets is very general, important sets, which we meet in elementary mathematics, are sets of numbers. Of particular importance, especially in analysis, is the set of real numbers, which we denote by R

    In fact, we assume in this unit, unless otherwise stated, that the set of real numbers R is out universal set. We first review some elementary properties of real numbers before applying our elementary principles of set theory to sets of numbers. The set of real numbers and its properties is called the real number system.

  • COMPLEX NUMBERS

  • Indices and Logarithm

    • Indices Page

      Indices is the word derived from Latin, in which index means "one who points out", an "indication", or a "forefinger". In Latin, the plural form of the word is indices. An index number is a number which is raised to a power.

      The power, also known as the index, tells you how many times you have to multiply the number by itself.

      For example, 25 means that you have to multiply 2 by itself five times = 2 × 2 × 2 × 2 × 2 = 32. 

      The knowledge of standard form will help you to understand the concept of indices. 

      The laws of indices to consider in this unit are; addition law, multiplication law, power law, negative law and fractional law.

    • Laws of Logarithms Page
    • Tutor-Marked Assignment

      attempt all question

      Instruction: all submission must be inform of document or pdf files and you only upload once

  • REAL SEQUENCE AND SERIES

  • Quadratic Equations

    • Quadratic Equation Page

      The polynomial equation whose highest degree is two is called a quadratic equation.

      There are different methods of solving quadratic equation in which you have learned in secondary school. Some of these methods will be reviewed again in this unit. The method of completing the square shall be studied and will be used to derive the general formula of quadratic equation which is popularly known as almighty formula. Quadratic equations shall be constructed using sum and product of the roots.

  • CIRCULAR MEASURE