Explore the fundamentals of ocean climate modeling in this informative lecture. Delve into the complex world of fluid dynamics and its impact on climate-scale processes in the oceans. Learn about turbulent dynamics, convection, and how these factors influence global climate patterns. Gain insights into the mathematical approaches used to simulate and predict oceanic behavior on a large scale. Suitable for students with an interest in climate science, oceanography, or applied mathematics, this talk provides a solid foundation for understanding the intricate relationship between oceans and climate systems. No prior background in climate-atmosphere-ocean dynamics is required, making it an excellent starting point for those new to the field.