Course Title: AP Calculus AB Enrichment Class
Target Audience: Students with a strong interest in mathematics or planning to take AP
Calculus AB in the future
Instructor: Ana Zhang
 
Course Overview:
This enrichment course is designed to introduce motivated students to the fundamental concepts
of AP Calculus AB in a supportive and engaging environment. Through carefully guided
instruction, real-world applications, and interactive problem-solving sessions, students will build
a strong foundation in differential and integral calculus while developing the critical thinking
skills necessary for success in advanced mathematics.
 
Key Topics Covered:
●Limits and continuity
●Derivatives and their applications
●Integrals and the Fundamental Theorem of Calculus
●Graphical, numerical, and analytical representations of functions
●Real-life applications in business, economics, science, and engineering
 
Course Objectives:
●Spark students’ interest in calculus and prepare them for formal AP Calculus AB coursework
●Strengthen conceptual understanding through step-by-step exploration and practice
●Introduce AP-style multiple-choice and free-response questions in a low-pressure setting
●Encourage collaborative learning and independent problem-solving Course Materials：
●Selected readings and practice problems from AP-aligned textbooks (e.g., Calculus for the Life Sciences, Calculus: Graphical, Numerical, Algebraic)
●Supplementary videos, simulations, and visual tools
●Instructor-curated worksheets and enrichment tasks
 
Benefits:
●Early exposure to AP-level content
●Increased confidence and readiness for the AP Calculus AB exam
●Personalized feedback and academic support
●A chance to explore how calculus connects with real-life scenarios in various fields