Delving deeply into fundamental concepts essential for antenna design, this comprehensive course covers a range of key topics including S-parameters, reflection coefficients, gain, return loss, voltage standing wave ratio (VSWR), and antenna efficiency. Seamlessly integrating CST antenna design and optimization methodologies, the course offers an extensive exploration of antenna mathematics. Microstrip patch antennas offer various geometries for optimal performance. Rectangular patches are common due to their simplicity and versatility. Circular patches exhibit circular polarization and compact size, suitable for satellite communication. Elliptical patches provide flexibility in tuning polarization and beam shape. Triangular patches offer directional radiation patterns for specific applications. Additionally, fractal geometries enhance bandwidth and miniaturization. Each geometry has distinct advantages, influencing factors such as bandwidth, gain, and radiation pattern, making them suitable for diverse wireless communication scenarios. By leveraging parametric sweep techniques, participants rigorously pursue the optimization of antenna geometry with the aim of minimizing reflection at the specified operating frequency. Throughout the course, simulation results are thoroughly discussed, and multiple possible cases are presented. Discussions include polar plots, gain plots, S11 plots, and their corresponding axes. This systematic and hands-on approach not only provides novices with a solid foundation but also cultivates advanced proficiency in antenna engineering.