Build confidence in one of Calculus II's most important-and often most challenging-topics.
Sequences and Series in Calculus II: Through Solved Problems is a practical guide for students who want to understand not only the answers, but also the reasoning behind them. Through clear explanations, worked examples, concise tips, and fully developed solutions, this book makes the central ideas of sequences and series more approachable and easier to apply.
Inside, you will explore:
Sequences, limits, convergence, and divergenceInfinite, geometric, and telescoping seriesComparison, limit comparison, integral, ratio, and root testsAlternating series and absolute versus conditional convergenceTaylor and Maclaurin polynomials and seriesPower series, intervals of convergence, differentiation, and integrationDesigned as a focused companion for undergraduate Calculus II courses, this book helps readers strengthen their notation, analytical thinking, and problem-solving habits. Each section encourages students to work independently, then compare their approach with detailed solutions that model a clear and reliable method.
Whether you are preparing for exams, reviewing difficult material, or building a stronger foundation for advanced mathematics, this book provides the tools to approach sequences and series with greater clarity, accuracy, and confidence.