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AP Calculus BC

Advanced Differentiation Techniques- Building on AP Calculus AB, the course includes more sophisticated differentiation techniques. Topics covered are-Parametric, polar, and vector functions Derivatives of these functions and their applications.

Advanced Integration Techniques- Students will learn more complex methods of integration, including-Integration by partial fractions,Improper integrals,Integration using trigonometric substitution and advanced techniques.

Sequences and Series- A significant portion of the course focuses on sequences and series, including-Convergence and divergence of infinite series,Power series and Taylor series ,Radius and interval of convergence,Applications of series in approximations and solving differential equations.

By the end of AP Calculus BC, students will have a thorough understanding of calculus that covers both AB-level topics and more advanced concepts. This comprehensive knowledge will prepare them for college-level mathematics courses and other STEM disciplines. Successful completion of the AP Calculus BC exam can lead to college credit and advanced placement in university calculus courses, providing a strong foundation for further academic and career pursuits in mathematics, science, and engineering.