Second Semester Calculus for Students of Mathematics and Related Disciplines

Explores advanced integration strategies, limit techniques, improper integrals, infinite sequences and series, polar and parametric curves, conic sections, and two-dimensional vectors. The book prepares students to succeed in third-semester, multivariable calculus or other studies requiring knowledge of these topics.

A continuation of the authors' previous textbook, Second Semester Calculus for Students of Mathematics and Related Disciplines furthers students' learning and understanding of critical mathematical concepts. The text explores more advanced integration strategies, further limit techniques, improper integrals, infinite sequences and series, polar and parametric curves, conic sections, and two-dimensional vectors. It well prepares students to succeed in third-semester, multivariable calculus or other studies requiring knowledge of these topics. The book features a highly conversational yet detailed approach, as well as extensive examples with thorough explanations, often accompanied by alternative explanations and methods to solutions. Important points and common pitfalls are emphasised to keep students from making typical mistakes. The rich pedagogical material in the text makes it an exceptional resource for both traditional and flipped courses. Recognising that second-semester calculus has historically been the hardest of a three-semester calculus sequence, Second Semester Calculus for Students of Mathematics and Related Disciplines provides students with a readable and straightforward approach designed to support their continued success.