Jennifer Chae
jchae@daltonschool.kr
Landon Green
lgreen@daltonschool.kr
Jennifer Chae
jchae@daltonschool.kr
Landon Green
lgreen@daltonschool.kr
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.
August 18-September 2
2 Weeks
September 5-September 30
4 Weeks
September 30 -November 4
5 Weeks
November 7 -December 2
4 Weeks
December 5 - December 16
2 Weeks
January 9 - February 1
3 Weeks
February 1-February 10
2 Weeks
February 14-February 24
2 Weeks
February 27 - March 10
2 Weeks
March 13 - April 21
5 Weeks
Monday May 8th
Unit 1: Limits and Continuity
Week 1: Introduction to Limits
Week 2: Properties of Limits and Continuity, review, and test
Mathematical Practice Assessment 1 will be on September 1st and 2nd
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
MPA 2 will be on September 29th and 30th
Unit 3: Application of Differentiation
Week 1: Maximums, Minimums, and the Mean Value Theorem
Week 2: Sketching Curves Using Derivative Tests
Week 3: Optimization, Linearization, and Review
MPA 3 will be on October 25th and 26th
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
MPA 4 will be on December 1st and 2nd
Unit 5: Transcendental Functions
Week 1: Logarithmic Functions and Inverse Functions
Week 2: Exponential Functions and Inverse Trigonometric Functions
Unit 6: Differential Equations
Week 1: Differential Equations, Slope Fields, and Euler's Method
Week 2: Midterm Review
Week 3: Separable Differential Equations , Modelling, and Logistic Growth
Unit 7: Differential Equations
Week 1: Area between curves and volumes of solids with known cross sections
Week 2: Volumes of solids of revolution and arc length
MPA 5 will be on February 9th and 10th
Unit 8: Integration Techniques
Week 1: Integration by parts, partial fractions, and L'Hôpital's Rule
Week 2: Improper Integrals and Review
MPA 6 will be on February 23rd and 24th
Unit 9: Parametric, Polar, and Vector Functions
Week 1: Parametric and Polar Functions
Week 2: Polar Functions and Review
MPA 7 will be on March 9th and 10th
Unit 10: Sequences and Series
Week 1: Convergence Tests
Week 2: More Convergence Tests
Week 3: Taylor Polynomials
Week 4: Error Bounds
Week 5: Review
MPA 8 will be on April 20th and 21st
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.