AP Calculus BC - MT601A/B

AP Calculus BC - MT601A/B

Prerequisites: Must have completed Pre-Calculus prior to taking this class.

Learning Recommendations: Designed for students who earned a C+ or better in AP Calculus AB or excelled in Pre-Calculus (CHS) or AP Pre-Calculus assessments. Strong foundation in algebra and pre-calculus concepts. Ability and desire to solve challenging problems, think quickly, critically, and creatively. Willingness to persevere through intellectual challenges. Dedication to learning material quickly and deeply, and working independently

General Description: This one-year course develops topics such as limits, derivatives, integration, polynomial approximations, and series for algebraic and transcendental functions. It follows the College Board AP Calculus BC course guidelines, covering all AP Calculus AB topics and extending beyond them for the AP Calculus BC exam preparation. This course also aligns with Bellevue College's Math& 152, 153, and 254 courses, allowing students to earn additional college credits.

College Credit: Students may take the AP test at the end of this course.  Colleges may award credit to students passing the AP test.  Students should verify the specific policy regarding AP Calculus credits at their colleges of interest.

Content:

1. Functions, Graphs, and Limits
   • Analysis of graphs
   • Limits of functions
   • Parametric, polar, and vector functions
2. Derivatives
   • Concept of the derivative
   • Derivative at a point
   • Derivative as a function
   • Second derivatives
   • Applications of derivatives
   • Computation of derivatives
3. Integrals
   • Interpretations and properties of definite integrals
   • Applications of integrals
   • Fundamental Theorem of Calculus
   • Techniques of antidifferentiation
   • Numerical approximations to definite integrals
4. Polynomial Approximations and Series
   • Concept of Power Series
   • Taylor and Maclaurin Series
   • Convergence of Series

Homework: Nightly practice problems, typically taking 15 to 45 minutes depending on the student and topic. Emphasis on small daily doses of practice to solidify learning. Homework quizzes to assess understanding and application of concepts.