Computer science is a study of the theory, experimentation, and engineering that form the basis for the design and use of computers. It is the systematic study of the feasibility, structure, expression, and mechanization of the procedures for the acquisition, representation, processing, storage, communication of, and access to information. A computer scientist would work in the theory of computation and the design of computational systems. There are two areas of the computer science field, theoretical and applied. Theoretical computer science is more abstract and looks to provide more efficient methodologies and would examine the theory of computation, coding, data structures, and programming. Applied computer science seeks to solve real world problems and involves artificial intelligence, graphics, security, networks and databases, and software.
Applied Mathematics is an interactive environment which provides for the study real world of problems through the use of applied mathematical and scientific modeling. A model is a simple construct which unveils or describes important properties of a more complex system that a learner may want to understand more fully. Students will learn about the nature and structure of scientific models, limitations of models, where mathematical formulas can be used to solve problems, and how math exists in the everyday world. Numerous technological modeling tools are used to explore and study complex problems and challenges within an inquiry-based classroom setting.
Ms. Carballo's AP Computer Science Principles website: https://sites.google.com/aacps.org/mrscarballocompsci/ap-computer-science-a