This book is an introductory manual containing full solutions to chapter problems of the text: Salah Emara and Faten AbdelHameed, 2016, ‘Engineering Mathematics for Vocational and Training Institutes, (Lap Lambert Academic Publishing, Germany). The material in this text is mainly for trainees from vocational institutes and others, and the aim was to give some of the following topics: Error Estimation Techniques and Accuracy of Numbers, Number Systems and Binary Logic Designs, Solving Equations and Inequalities, Complex Numbers, Partial Fractions, Trigonometric Functions, Logarithmic and Exponential Functions, Hyperbolic Functions, Arithmetic and Geometric Sequences, Gauss-Jordan Elimination Method, Solving Engineering Problems to Describe Motion of Objects Using Second Order Differential Equations, Problem-Solving Techniques (Obtaining Engineering Parameters From Graphs, Diagrams, Data Tables and Engineering Reliability), Sum of Two Sinusoidal Functions, Differentiation, Integration, Numerical Integration, Differential Equations, Application to Electrical Engineering, Statistics, Correlation and Regression, Normal Random Variables (Continuous), Hypotheses Testing.