Calculus A/B 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 AB testing, and we expect studentsto master the skills listed in the Expected Outcomes section listed below.

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Important Note: We recommend thatthis course is done the year before your studentplans to take their AB test (or in parallelwith their school’s Calculus curriculum), since testing is done beforethe end of this class calendar.‍

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

• Functions, Continuity and Limits
• Derivatives
• Integrals

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

• Set notation, set theory as itpertains to functions
• Functions, their properties,continuity and limits
• Understanding and calculatingderivatives of common functions
• Applying derivatives to real lifesituations
• Understanding and performingintegrations of common functions including
  • Antiderivatives, Chain Rule
  • Integration by parts, Substitutionmethods, Partial fractions
• Applying integrals to real lifesituations
  • Areas and Volumes of planar and 3Dfigures
  • Length of a curve, Average valueof a function
• Limits involving infinity
  • Rational and exponentialindeterminate forms, L'Hopital's Rule, improper integrals
• Defining and understandingdifferential equations including second-order linear d.e.

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

• Introductory Geometry for
  • trigonometric functions andidentities
• Algebra 2 and Precalculus Concepts:
  • • Graphing, solving equations, and systems of equations with three unknowns.
    • Logarithms and exponential functions.
    • Polynomials: factoring, finding roots, and analyzing graph behavior.
    • Sequences and series.
    • Understanding radians, polar coordinates, and complex numbers.

Students shouldalso be willing and able to:

• Communicate in English at a beginner’s level
• Be respectful of other students in their classes
• Practice writing things down on paper
• Share their thoughts with the instructors to help them discover solutions to their problems
• Take constructive criticism when it comes to their learning habits