AP Calculus BC

AP Calculus BC is equivalent to one year of calculus at most universities. This course covers all topics learned in AP Calculus AB (techniques and applications of the derivative, the definite integral, and the Fundamental Theorem of Calculus) and others such as parametric, polar, and vector functions, and series. AP Calculus BC is an advanced course and it is expected that you put a great amount of effort in learning both inside and outside of class to succeed. We will support a solution using graphical, numerical, analytical, algebraic, and both verbal and written responses. 

More information can be found on the College Board's website.

Unit 1: Limits and Continuity

Week 1: Introduction to Limits

Week 2: Properties of Limits and Continuity, Review, and Test

Unit 2: Differentiation

Week 1: Definition of Derivatives

Week 2: Derivative Rules

Week 3: Chain Rule and Implicit Definition

Week 4: Related rates, review, and test

Unit 3: Application of Differentiation

Week 1: Contextual Applications

Week 2: Maximums, Minimums, and the Mean Value Theorem

Week 3: Sketching Curves Using Derivative Tests

Week 4: Optimization, Linearization, and L'Hôpital's Rule, and Review and Test

Unit 4: Antidifferentiation and Integration

Week 1: Antiderivatives and Area Approximations

Week 2: Areas as a Limit and the Fundamental Theorem of Calculus

Week 3: Integration by Substitution and Accumulation Functions

Unit 5: Integration Techniques

Week 1: Logarithmic and Exponential Functions and Integration by Parts

Week 2: Inverse Trigonometric Functions, Partial Fractions, Improper Integrals

Week 3: Review and Test

Unit 6: Applications of Integration

Week 1: Area between curves and volumes of solids with known cross sections

Week 2: Volumes of solids of revolution and arc length

Week 3: Differential Equations, Slope Fields, and Euler's Method

Week 4: Separable Differential Equations , Modelling, and Logistic Growth

Unit 7:  Parametric, Polar, and Vector Functions

Week 1: Parametric and Polar Functions

Week 2: Polar Functions and Review

Unit 8:  Sequences and Series

Week 1: Convergence Tests

Week 2: More Convergence Tests

Week 3: More Convergence Tests and Review

Unit 9:  Power Series

Week 1: Taylor Polynomials and Error Bounds

Week 2: Power Series and Taylor Series

Week 3: Review

Students are expected to do the following:

• Come to class prepared with all necessary course materials, this includes a graphing calculator (Ti-83/84/89/N-spire).

• Check Google Classroom on a daily basis for assignments, documents, etc. Contact teacher if unable to access it.

• Master standards relevant to each unit of study.

• Complete and submit assessments on time.

• Work effectively in collaborative groups.

• Contribute positively to the classroom and class discussions.

• Show kindness, open-mindedness, and respect to peers.

• Seek appropriate help when needed.

• Follow Check-in retake procedures. Submit all homework, book appointment with your teacher and wait for it to be accepted.

• Leave your space tidy when you exit the room.