AP Calculus BC
Calc III Intro (Calculus by Stewart)
Advanced Mathematical Thinking (Mathematical Proofs by Chartrand)
Week of May 18
Monday, May 18  Final Presentations
Tuesday, May 19  Final Presentations
Wednesday, May 20  Three Dimensional Coordinate Systems and Vectors
Thursday, May 21  The Dot Product
Friday, May 22  The Cross Product


Week of May 25
Monday, May 25  No School
Tuesday, May 26  Quadric Surfaces (12.6) and Functions of Several Variables (14.1)
Wednesday, May 27  Guest Presenter
Thursday, May 28  Quadric Surfaces (12.6) and Functions of Several Variables (14.1)
Friday, May 29  Limits and Continuity (14.2) and Partial Derivatives (14.3)
Extra: Tangent Planes (14.4) and Max/Min Values (14.7)
Monday, May 25  No School
 Memorial Day
Tuesday, May 26  Quadric Surfaces (12.6) and Functions of Several Variables (14.1)
 Examine the six types of quadric surfaces. Make sense of them based on what you know about their counterparts in R2.
 What is a function of two variables? How is it expressed?
 What are level curves? How are they used?
 Be able to identify a graph in R3 based on its equation.
Wednesday, May 27  Guest Presenter
 Mathematical Career Pathway: Actuary
Thursday, May 28  Quadric Surfaces (12.6) and Functions of Several Variables (14.1)
 Same as Tuesday
Friday, May 29  Limits and Continuity (14.2) and Partial Derivatives (14.3)
 What is the method for determining the limit of a function in two variables?
 How can we determine continuity of a function in two variables?
 How can one find a partial derivative? Why is it called a "partial derivative"?
 What is the graphical interpretation of a partial derivative? What about a second partial derivative?
Extra: Tangent Planes (14.4) and Max/Min Values (14.7)
 Why do we talk about tangent planes (instead of tangent lines) in R3?
 How does one determine the equation for a tangent plane in R3?
 What is the process for determining where a function has a minimum/maximum value in R3?
 What is a saddle point? How does one determine the existence of a saddle point?
Week of June 1
Monday, June 1  Set Theory (Ch 1)
Tuesday, June 2  Logic (Ch 2)
Wednesday, June 3  Logic (Ch 2)
Thursday, June 4  Proofs (Ch 3)
Friday, June 5  Proofs (Ch 3)
Monday, June 1  Set Theory (Ch 1)
 Dual Enrollment Presentation by Mr. Carlin
 Sets, Subsets, and Set Operations (#3, 4, 5, 8, 12, 13, 14, 21, 22, 26, 46, 48, 50)
Tuesday, June 2  Logic (Ch 2)
 Implications and Truth Tables (#2, 3, 4, 11, 12, 13, 15, 16, 19, 20, 22, 24, 27, 29)
Wednesday, June 3  Logic (Ch 2)
Thursday, June 4  Proofs (Ch 3)
 Direct Proof (#9, 10, 11, 17, 20)
 Proof by Contrapositive
Friday, June 5  Proofs (Ch 3)
 Proof by Cases (#27, 28, 29)
Week of June 8
Monday, June 8  Proofs (Ch 4)
Tuesday, June 9  Proofs (Ch 5/6)
Wednesday, June 10  Exams
Thursday, June 11  Exams
Friday, June 12  Exams
Monday, June 8  Proofs (Ch 4)
 Proofs Involving Divisibility of Integers
 Proofs Involving Congruence of Integers (modulo)
Tuesday, June 9  Proofs (Ch 5/6)
 Proof by Contradiction
 Mathematical Induction
Wednesday, June 10  Exams
 1st and 2nd Hour  Proofs Exercises
Thursday, June 11  Exams
 3rd and 4th Hour
Friday, June 12  Exams
 5th and 6th Hour