The course focuses on fundamental analytics of power systems. The course will help students understand major problems in power system static, dynamic, and stability analysis, as well as fundamental optimization issues in power system operation. The course covers power system steady-state modeling with emphasis on admittance and impedance matrix, power system dynamics modeling with emphasis on the functional state-space model, and power system analytics with emphasis on power flow analysis, eigenvalue analysis, and time-domain transient simulation. Advanced topics such as power system optimization exemplified by optimal power flow and unit commitment, as well as power system control will also be introduced. Emphasis is on using applied mathematics to analyze power system problems.