Mathematics & Statistics

A comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course.

An open-source, openly-licensed textbook package (eBook, print, and online homework) for basic and intermediate algebra.

Volume 1 covers functions, limits, derivatives, and integration. The end of each chapter includes a review of key terms and concepts, as well as practice problems. Also available in Spanish.

Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates. The end of each chapter includes a review of key terms and concepts, as well as practice problems. Also available in Spanish.

Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations. The end of each chapter includes a review of key terms and concepts, as well as practice problems. Also available in Spanish.

Tutorial videos and practice problems on limits, derivatives, analyzing functions, integrals, and differential equations.

Tutorials and videos on integration techniques and applications, differential equations, parametric equations, polar coordinates, vector-valued functions, and series.

Content and practice exercises for differential, integral, vector, and multivariable calculus.

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

This text covers groups, rings, and fields, with attention to both theory and applications. An exercise set appears at the end of each chapter.

All major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced. examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the text.

Tutorial videos and practice problems on vectors and spaces, matrix transformations, and alternate coordinate systems.

The aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work. Practice problems are included in each chapter.

This compilation of lecture notes covers the completeness axiom, sequences and convergence, continuity, and differentiation. Exercises of various levels and problem-solving videos are included.

This award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material.

This text covers major topics in statistics including descriptive statistics, probability, confidence intervals, t-tests, statistical graphs, power, complex ANOVA designs, and multiple regression in an easy-to-understand non-mathematical manner. Features include interactive self-testing exercises, an extensive glossary (with links from the text), and the option to view video presentations. Statistical concepts are explained using examples from real research. A statistical literacy section is included in each chapter.

This text contains the main ideas, concepts, and theorems of probability, as well as background information about sets, logic, functions, combinatorics, and integration. It includes worked solutions to many of the exercises in the text found at the end of each chapter.

A textbook and set of lecture notes covering theory of probability, sets and counting, probability axioms, conditional probabilities, random variables, and limit theorems. Exercises and solutions are available at the end of each chapter.