This book is an introduction to ordinary differential equations. We present some theory and some solved problems about some type of differential equations, namely the linear differential equations and in particular the linear differential equations with constant coefficients. We pretend with this book to make a clear and attractive expositions of some methods of resolution of the types of differential equations described above.

This book is about multivariable calculus, in particular on triple and surface integration. It contains solved problems spanning a wide variety of integration regions. The solutions are presented with 3D figures that helps the reader to better understand the resolution. It is required for the reader to have previous knowledge on linear algebra and analytic geometry and also on one variable calculus specially derivation and integration.

This book is intended to be a supplementary text for an undergraduate course in one variable calculus. It contains a text on rational functions integration. It is also presented a set of problems in one variable integration and study of functions. It is required for the reader to have a basic knowledge of derivation, limits, and geometry in the plane. The book also contains several apendices about the properties of some families of real functions.

This book provides a clear yet not too technical introduction to surface integration. The principal results and theorems are exposed. It also contains detailed worked examples and proposed exercises. The reader is required to have previous knowledge on linear algebra and one variable calculus. This second version contains a new chapter with solved problems about the geometry of space. It is also given a formulary of integration and properties of hyperbolic functions.

This book provides a clear, yet not too technical exposition of the theory of vector functions appropriate for a one semester course. The main results are presented some of them with proofs. In all chapters there are worked examples and proposed problems some of them with solutions. The reader is required to have knowledge on linear algebra and analytical geometry and of course to have a good background in one variable calculus namely on derivation and integration.

This book provides a clear yet not too technical introduction to surface integration. The principal results and theorems are exposed. It also contains detailed worked examples and proposed exercises. The reader is required to have knowledge on linear algebra and on one variable calculus, namely on derivation and integration. This book is intended for the first year students in Engineering degrees.

This book is intended for exam preparation. It contains three chapters with multiple-choice questions about: differential calculus, double integration and triple integration. For each question it is presented the correct answer.It also contains appendices about, properties about functions and their graphs, rules of differentiation of real functions with the corresponding deduction, and finally it presents algebraic properties of some rules of operations with real numbers.

This book is a 2nd Edition and is intended to be an auxiliary text for undergraduate students in one-variable integral calculus. The book gives an approach to integrals of rational functions of sine and cosine, irrational functions and binomial, Euler, and improper integrals. It also lectures on reduction formulas and on the use of some integration tricks. On each subject, there are solved and proposed problems and the book contains two important appendices. The first appendix has an extensive collection of trigonometric formulas and formulas involving the logarithm and hyperbolic functions...