Calculus B/C Syllabus

This course ismeant for students ages 15 to 18 who have completed, at a minimum, the CommonCore (or equivalent) curriculum for Algebra 2, Geometry and PreCalculus.Students will be exposed to the Focus Areas section listed below with a focuson Introductory Calculus and Calculus BC testing, and we expect studentsto master the skills listed in the Expected Outcomes section listed below.

Important Note: We recommend thatthis course is done the year before your studentplans to take their BC test (or in parallelwith their school’s Calculus curriculum), since testing is done beforethe end of this class calendar. This course overlaps with Calculus A/B in a lotof content. Students may find the first half similar to A/B, though we do godeeper.‍

Concepts, skills,and learning tools students see in this course include, but are not limited to:

• Derivatives
• Integrals
• Infinite Series

Students will be expectedto adequately perform in or explain the following areas after course completion:

• Function continuity and limits
• Understanding and calculating derivatives of common functions
• Applying derivatives to real life situations
• Understanding and performing integrations of common functions including
  • Antiderivatives, Chain Rule
  • Integration by parts, Substitution methods, Partial fractions
• Applying integrals to real life situations
  • Areas and Volumes of planar and 3Dfigures
  • Length of a curve, Average value of a function
• Limits involving infinity
  • Mean Value Theorem, rational and exponential indeterminate forms, L'Hopital's Rule, improper integrals
• Defining and understanding differential equations including second-order linear d.e.
• Infinite Series including Taylor, MacLaurin, power series, ratio testing and more

Students registering for this course should be comfortable with the following Math:

• Introductory Geometry for
  • trigonometric functions and identities
• Algebra 2 and Precalculus concepts for
  • graphing, solving equations, andsystems of equations with 3 unknowns
  • logarithms and exponentialfunctions
  • polynomials (factoring, findingroots, behavior of graphs)
  • sequences and series
  • radians, polar coordinates andcomplex numbers

Students shouldalso be willing and able to:

• Communicate in English at abeginner’s level
• Be respectful of other students intheir classes
• Practice writing things down onpaper
• Share their thoughts with theinstructors to help them discover solutions to their problems
• Take constructive criticism whenit comes to their learning habits