Oxford Calculus - Classifying 2D Critical Points Using the Discriminant

The course teaches how to classify critical points for functions of two variables using the discriminant method. The learning outcomes include understanding the 3 types of critical points (maximum, minimum, saddle point), applying differentiation techniques to multivariable functions, and using the discriminant to determine the type of critical point. The course covers skills such as finding local maximum and minimum, calculating rate of change, working with second-order partial derivatives, and applying the discriminant method. The teaching method involves explanations by Dr. Tom Crawford, visualizations using the Maple Calculator app, and practical application using Maple Learn. The intended audience includes individuals interested in advanced calculus concepts and mathematical analysis.