Description
Calculus is the mathematical gift that keeps giving. (Thanks Newton and company!) In this class, you will expand your knowledge of limits, derivatives, and integrals with concepts and techniques that will enable you to solve many important problems in mathematics and the sciences. You will be able to judge whether answers provided by WolframAlpha or ChatGPT are correct. Topics will include: differentiation review, integration review, integration with nonpolynomial functions, applications of integration (finding area, volume, length, center of mass, moment of inertia, probability), advanced techniques for integration (substitution, integration-by-parts, partial fractions), infinite sequences, infinite series, convergent and divergent sums, power series, and, time permitting, parametric equations of a curve and polar coordinates. Students will work on a conference project related to the mathematical topics covered in class and are free to choose technical, historical, crafty, computation