Course Overview

AP Calculus AB B is the second semester of a rigorous, college-level mathematics course aligned with the College Board AP® Calculus AB framework. Building on the foundations established in AP Calculus AB A, this course emphasizes integral calculus, mathematical modeling, and differential equations while preparing students to demonstrate mastery on the AP® Calculus AB exam.

Key Learning Focus

Students will:

• Develop a thorough understanding of definite and indefinite integrals, including advanced integration techniques.
• Apply integrals to area, volume, accumulation, and motion problems.
• Explore differential equations and their role in modeling dynamic systems.
• Use mathematical modeling to connect calculus concepts to real-world applications.
• Practice representing and solving problems in multiple formats—graphical, numerical, analytical, and verbal—as emphasized by the AP® exam.

Instructional Approach

The course integrates direct instruction, interactive multimedia content, graphing utilities, and an online textbook. Students engage in discussions, portfolio work, and targeted practice assessments. A culminating project challenges students to synthesize concepts from across the full AP Calculus AB sequence in an applied context.

Outcome

By the end of AP Calculus AB B, students will:

• Demonstrate mastery of integration, applications of integrals, and differential equations.
• Apply calculus concepts to real-world problems and models across disciplines.
• Strengthen proficiency with graphing technology and analytical reasoning.
• Be fully prepared to sit for the AP® Calculus AB exam with confidence in both conceptual understanding and problem-solving ability.