Calculus III: Practice Problems, Methods, and Solutions

✍ Scribed by Mehdi Rahmani-Andebili

• Publisher: Springer
• Year: 2024
• Tongue: English
• Edition: 1
• Category: Library

✦ Synopsis

This study guide is designed for students taking a Calculus III 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 linear algebra and analytical geometry; lines, surfaces, and vector functions in three-dimensional coordinate systems; multiple-variable functions; multiple integrals and their applications; line integrals and their applications. 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.

✦ Table of Contents

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: Linear Algebra and Analytical Geometry
References
2: Solutions of Problems: Linear Algebra and Analytical Geometry
References
3: Problems: Lines, Surfaces, and Vector Functions in Three-Dimensional Coordinate System
References
4: Solutions of Problems: Lines, Surfaces, and Vector Functions in Three-Dimensional Coordinate System
References
5: Problems: Multivariable Functions
References
6: Solutions of Problems: Multivariable Functions
References
7: Problems: Double Integrals and Their Applications
7.1 Double Integrals
7.2 Applications of Double Integrals
References
8: Solutions of Problems: Double Integrals and Their Applications
8.1 Double Integrals
8.2 Applications of Double Integrals
References
9: Problems: Triple Integrals and Their Applications
9.1 Triple Integrals
9.2 Applications of Triple Integrals
References
10: Solutions of Problems: Triple Integrals and Their Applications
10.1 Triple Integrals
10.2 Applications of Triple Integrals
References
11: Problems: Line Integrals and Their Applications
11.1 Line Integrals
11.2 Applications of Line Integrals
References
12: Solutions of Problems: Line Integrals and Their Applications
12.1 Line Integrals
12.2 Applications of Line Integrals
References
Index

✦ Subjects

Calculus Study Guide; Line Integrals; Surface Integrals; Multivariable Calculus; Multivariable Functions; Vector Fields; Vector Functions; Multiple Integrations; Multivariable Integrals; Parametric Equations; Vectors