Honors Calculus

This course is a continuation of the material covered in Honors Pre-Calculus in the 11th grade. The mathematics learned can be found in the study of physics, chemistry, and engineering.

Topics include:
• Curve sketching of functions and their derivatives, which include the slope of the tangent line and point(s) of inflection
• Applications of the derivatives in the real world, which include related rates and optimization
• A variety of integration techniques, which include substitution, parts, and partial fractions
• Integration applications including area under a curve, Riemann sum, and volume of solids rotated around the axis and slope fields