What you will learn in Vector Calculus for Engineers Course
Understand scalar and vector fields, including their properties and applications.
Learn vector operations such as dot and cross products.
Explore differentiation of scalar and vector fields using partial derivatives.
Study multivariable integration techniques, including line and surface integrals.
Apply coordinate transformations in polar, cylindrical, and spherical systems.
Master fundamental theorems of vector calculus: Gradient Theorem, Divergence Theorem, and Stokes’ Theorem.
Program Overview
Vectors
⏳ 7 hours
- Introduction to vectors, vector addition, subtraction, and multiplication using dot and cross products. Applications in analytical geometry of lines and planes.
Differentiation
⏳ 7 hours
- Differentiation of scalar and vector fields, partial derivatives, gradient, divergence, and curl.
Integration
⏳ 7 hours
- Multivariable integration techniques, including double and triple integrals. Applications in calculating areas and volumes.
Coordinate Systems
⏳ 7 hours
- Transformation of coordinates in polar, cylindrical, and spherical systems. Applications in simplifying integrals.
Theorems
⏳ 7 hours
- Study of the Gradient Theorem, Divergence Theorem, and Stokes’ Theorem. Applications in electromagnetism and fluid mechanics.
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Job Outlook
Enhances mathematical proficiency for careers in engineering, physics, and applied mathematics.
Provides a solid foundation for advanced studies in electromagnetism, fluid dynamics, and computational modeling.
Completing this course can bolster qualifications for roles requiring strong analytical and problem-solving skills.
Specification: Vector Calculus for Engineers
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