Honors Calculus AB

Calculus is the “mathematics of change” and therefore has applications to all fields of endeavor, including the natural sciences, social sciences, economics, and business. This course is roughly the equivalent of a first semester college calculus course to help students understand and apply the big ideas of calculus. Prior to entry into the course students are required to complete a series of assignments over the summer. Students enrolled in the course have the option of taking the Calculus AB Advanced Placement exam in May given by the College Board.

Topics include:
• Limits, derivatives, definite and indefinite integrals
• The Fundamental Theorem of Calculus
• Reasoning with definitions and theorems and connecting concepts
• Implementing algebraic/computational processes, connecting multiple representations, and building notational fluency

Students should be able to:
• Communicate mathematics and explain solutions to problems both verbally and in written sentences
• Model a written description of a physical situation with a function, a differential equation, or an integral as well as use technology to help solve problems, experiment, interpret results, and support conclusions
• Determine the reasonableness of solutions, including sign, size, relative accuracy,and units of measurement