Course Overview 

The AP Calculus AB course provides a comprehensive introduction to the concepts and techniques of calculus, focusing on limits, derivatives, and integrals. Students begin by exploring limits and continuity, which lay the groundwork for understanding how functions behave. They then learn to compute derivatives using various rules and apply them to real-world problems, such as optimization and rates of change. The course also covers integration, teaching students to find both indefinite and definite integrals while highlighting the Fundamental Theorem of Calculus, which connects differentiation and integration. Throughout the course, emphasis is placed on analytical methods, problem-solving skills, and the ability to communicate mathematical ideas effectively, all of which prepare students for the AP exam and further studies in mathematics and related fields.