This study guide is designed for students taking a Calculus II course. The textbook includes examples, questions, and practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. The material covered in the book includes applications of integration, sequences and series and their applications, polar coordinate systems, and complex numbers. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve students’ problem-solving skills and foster a solid understanding of calculus, which will benefit them in all of their calculus-based courses
Author(s): Mehdi Rahmani-Andebili
Edition: 1
Publisher: Springer
Year: 2023
Language: English
Commentary: Publisher PDF | Published: 17 November 2023
Pages: ix, 108
City: Cham
Tags: Calculus; Integration Techniques; Integrals Applications; Differential Equations; Vectors; Parametric Equations; polar Coordinates; Three Dimensional Coordinate Systems; Series; Sequences; Taylor Series; Integral Test; Convergent Infinite Series; Divergent Infinite Series
Preface
Precalculus: Practice Problems, Methods, and Solution
Calculus 1: Practice Problems, Methods, and Solution
Calculus 2: Practice Problems, Methods, and Solution
Calculus 3: Practice Problems, Methods, and Solution
The Other Works Published by the Author
Contents
1: Problems: Applications of integration
1.1 Mean Value of a Function
1.2 Surface Area Bounded by Curves
1.3 Volume Resulted from Rotation of an Enclosed Region
1.4 Arc Length of a Curve
1.5 Surface Area of a Solid of Revolution
1.6 Center of Gravity
References
2: Solutions of Problems: Applications of Integration
2.1 Mean Value of a Function
2.2 Surface Area Bounded by Curves
2.3 Volume Resulted from Rotation of an Enclosed Region
2.4 Arc Length of a Curve
2.5 Surface Area of a Solid of Revolution
2.6 Center of Gravity
References
3: Problems: Sequences and Series and Their Applications
References
4: Solutions of Problems: Sequences and Series and Their Applications
References
5: Problems: Polar Coordinate System
References
6: Solutions of Problems: Polar Coordinate System
References
7: Problems: Complex numbers
References
8: Solutions of Problems: Complex Numbers
References
Index
