Introduction to Vectors, Definition, properties, and applications of Vectors.
Course Description
Course ‘Introduction to Vectors’ provides a comprehensive introduction to vectors, focusing on their definition, properties, and applications. The course aims to build a strong foundational understanding of vectors and their operations. By the end of the course, students will be able to understand and apply vector concepts in two, three, and n-dimensional spaces.
Course Objectives:
- Understand the definition and geometric representation of vectors.
- Learn about vector operations, including addition, dot product, and cross product.
- Understand vector components and their applications in real-world scenarios.
- Apply vector concepts to solve problems in engineering, physics, and computer graphics.
The modules that will be discussed include:
- What is Vector?
- Vector Operations: Geometric Definition
- Vectors in Coordinate Systems
- Vector Operations: n-Space Definition
- Norm and Distance in n-Space
- Dot Product
- Orthogonal Projections
- Norm of a Projection
- Vector and Parametric Equations of Lines and Planes
- Cross Product
Course Content:
- Videos: Each module includes video lectures that explain theoretical concepts and their applications.
- Lecture Notes: Detailed notes for each module, providing in-depth explanations and examples.
- Quizzes: Interactive quizzes at the end of each module to test understanding and reinforce learning.
This course is ideal for students looking to gain practical knowledge of vectors and their use in various scientific and engineering problems.
