Vector Calculus for Engineers

This course covers both the theoretical foundations and practical applications of Vector Calculus. During the first week, students will learn about scalar and vector fields. In the second week, they will differentiate fields. The third week focuses on multidimensional integration and curvilinear coordinate systems. Line and surface integrals are covered in the fourth week, while the fifth week explores the fundamental theorems of vector calculus, including the gradient theorem, the divergence th

• Understand vectors, dot product, and cross product
• Explain gradient, divergence, curl, and Laplacian operators
• Apply multivariable integration in various coordinate systems
• Use line integrals, surface integrals, and fundamental vector calculus theorems

• Basic knowledge of calculus
• Fundamental math skills