Introduction to Calculus - volume 2 Course in PDF

Volume II is a continuation of the "Introduction to Calculus" course and includes chapters 6-12, focusing on topics such as vectors, curve and surface representations, scalar and vector fields, digital technology, and advanced mathematics. This free PDF course is ideal for beginners looking to learn and advance their understanding of calculus and its applications in science and engineering.

Learning the Introduction to Calculus - volume 2

Introduction to Calculus: Volume II - A Comprehensive and Free PDF Course

Introduction to Calculus: Volume II is a continuation of the first volume and provides a comprehensive guide to the fundamental concepts of calculus and their applications in science and engineering. This free PDF course is designed for beginners and covers a wide range of topics to help students learn the subject matter from scratch.

Chapter 6: Vectors, Vector Operations, and Applications

In this chapter, students will learn about vectors, vector operations, differentiation, and integration of vectors with applications in various areas. The chapter covers the definition of the directional derivative and the properties of vector operations that are used to find maximum and minimum values associated with functions of more than one variable.

Chapter 7: Curves and Surfaces

In this chapter, students will learn about curves and surfaces represented in a vector form and the vector operations associated with these forms. The chapter investigates methods for representing arclength, surface area, and volume elements from vector representations.

Chapter 8: Scalar and Vector Fields

In this chapter, students will learn about scalar and vector fields and operations involving these quantities. The Gauss divergence theorem, the Stokes theorem, and Green’s theorem in the plane are covered in detail along with applications associated with these theorems.

Chapter 9: Applications of Vectors in Science and Engineering

This chapter presents applications of vectors from selected areas of science and engineering. It helps students understand how vectors are used in real-world applications.

Chapter 10: Matrix Calculus and Difference Calculus

In this chapter, students will learn about the matrix calculus and the difference calculus. This chapter is important as technology development is tending toward a digital world, and students should be exposed to some of the operational calculus that is going to be needed in order to understand some of this technology.

Chapter 11: Probability and Statistics

This chapter introduces students to the basics of probability and statistics. The chapter covers the fundamental concepts and their applications in various areas.

Chapter 12: Advanced Mathematics

This chapter is added as an afterthought to introduce those interested into some more advanced areas of mathematics.

Conclusion The "Introduction to Calculus: Volume II" is a comprehensive and free PDF course for beginners that provides a solid foundation in calculus and its applications in science and engineering. Whether you are a student or a self-learner, this course is a great resource to start learning from scratch. Download the PDF today and start learning!