## Mathematical Analysis I

Differential equations are widely used in mechanical engineering. We often solve differential equations to investigate the behavior of target systems. This lecture focuses on how to solve ordinary differential equations with examples.

- What is differential equation (1 hr)
- Separation of variables (1 hr)
- Variation of parameters (1 hr)
- Laplace transform and its properties (2 hrs)
- Linear constant-coefficient differential equations (2 hrs)
- Transfer function (1 hr)
- Power-series expansion (2 hrs)
- Solving differential equations using power-series expansion (2 hrs)

Evaluation: Midterm exam.(40 points) and final exam. (60 points)

[Education]