Program Overview

工程數學 (上) Program Details

Course Introduction

The program covers various topics, including:

• Course Introduction, First Order Differential Equations
• Special First Order ODE
• Second Order ODE, Reduction of Order
• Euler Equations, Undetermined Coefficients, Variation of Parameters, Higher Order DE
• Laplace Transform (1)
• Laplace Transform (2)
• Series Solutions (1)
• Series Solutions (2)
• Vector and Vector Spaces (1)
• Vector and Vector Spaces (2)
• Matrices (1)
• Matrices (2)
• Matrices (3)
• Matrices (4)
• Matrices (5)
• Systems of Linear Differential Equations (1)
• Systems of Linear Differential Equations (2)
• Phase Portraits of Homogeneous Linear Systems

Course Content

The course is divided into several sections, including:

1. 課程簡介
2. Course Introduction, First Order Differential Equations
3. Special First Order ODE
4. Second Order ODE, Reduction of Order
5. Euler Equations, Undetermined Coefficients, Variation of Parameters, Higher Order DE
6. Laplace Transform (1)
7. Laplace Transform (2)
8. Series Solutions (1)
9. Series Solutions (2)
10. Vector and Vector Spaces (1)
11. Vector and Vector Spaces (2)
12. Matrices (1)
13. Matrices (2)
14. Matrices (3)
15. Matrices (4)
16. Matrices (5)
17. Systems of Linear Differential Equations (1)
18. Systems of Linear Differential Equations (2)
19. Phase Portraits of Homogeneous Linear Systems

Program Overview

The 工程數學 (上) program is a comprehensive course that covers a wide range of topics in engineering mathematics, including differential equations, linear algebra, and vector spaces. The program is designed to provide students with a solid foundation in mathematical concepts and techniques, which are essential for success in engineering and other fields.