This textbook contains over 1000 worked problems, followed by some 1750 further problems (all with answers). The further problems are contained within some 220 Exercises; each Exercise follows on directly from the relevant section of work, every two or three pages. In addition, the text contains 238 multiple choice questions. Where at all possible, the problems mirror practical situations found in engineering and science. 500 line diagrams enhance the understanding of the theory. At regular intervals throughout the text are some 18 Revision tests to check understanding. For example, Revision test 1 covers material contained in Chapters 1 to 4, Revision test 2 covers the material in Chapters 5 to 8, and so on. These Revision Tests do not have answers given since it is envisaged that lecturers could set the tests for students to attempt as part of their course structure. Lecturers’ may obtain a complimentary set of solutions of the Revision Tests in an Instructor’s Manual available from the publishers via the internet –see below. A list of Essential Formulae is included in the Instructor’s Manual for convenience of reference. Learning by Example is at the heart of Engineering Mathematics 5th Edition.

This unit aims at providing a good foundation in mathematics for students who plans to do more specialized work in the university, especially in the Computing, Medicine, Engineering, etc.

Upon completing this topic, you should be able to: Solve quadratic equations by factoring Learning outcomes Solve quadratic equations using the method of extraction of roots Determine the nature of the solutions to a quadratic equation Understand the logic underlying the method of completing Solve a quadratic equation using the method of completing

By the end of this topic you should be able to; Understand the laws of indices and their application in Learning outcomes simplifying algebraic expressions. Define index, Establish the laws of indices, Solve simple problems using the laws of indices, Understand the theory of logarithms and surds and their applications in manipulating expressions.

By the end of this topic you should be able to; Understand the laws of indices and their application in simplifying algebraic expressions. Define index, Establish the laws of indices, Solve simple problems using the laws of indices. Understand the theory of logarithms and surds and their applications in manipulating expressions. Define logarithm

Upon completing this topic, you should be able to: Differentiate between a series and a sequence, Use Sigma notation in representing a series, Understand the properties of arithmetic and geometric progressions, Define an Arithmetic progression (A.P.), Obtain the formula for nth term and the first n terms of an A.P, Define a geometric progression (G.P.)

Upon completing this topic, you should be able to factorise and solve polynomials of degree higher than 2

Permutations and Combination Permutations - This is defined as the number of different ways of arranging different objects in order.

Upon completing this topic you should be able to understand the binomial theorem and it’s application in the expansion of expressions and in approximations.

Upon completing this topic,you should be able to;- Apply the principles of probability to solve problems in real-world contexts. Understand and use the language of probability and to compute the probabilities of composite events using the basic rules of probability.