Calculus BC

Chris Lane
Chris Lane has been an Assistant Professor of Mathematics and Computer Science in Forest Grove, Oregon since 1999. During this time, he has taught a wide range of courses in both mathematics and computer science in addition to graduate courses in statistics and business analytics within the MBA program at Pacific. 
He has been involved with the AP Calculus program since 2000, serving in a variety of roles including Reader, Table Leader, Question Team Member, Question Leader for both the operational and alternative exams, and Exam Leader for multiple years for a variety of alternative exams. He has also written multiple-choice questions for the exam and has served as an AP course auditor. 
Outside of the AP Calculus program, his professional interests involve using mathematics and computer science for the social good.  He has worked as a lead programmer for a multi-year prostate cancer study using tablets at OHSU in Portland, and also as a technical advisor on an NIH grant involving ethics and philosophy in medicine.  For his 2021-2022 sabbatical, he is studying and developing applications of machine learning to medicine and is continuing his involvement in the AP Calculus program as part of the leadership team and as a consultant.
Course Description:
This course is for AP Calculus BC teachers.  The intent of this course is to reinforce and deepen each participants’ understanding of the topics included in the AP Calculus BC curriculum, to help teachers understand how these topics are tested on the exam, and to explain how the scoring guidelines are developed and applied to scoring student responses.  Common student misconceptions and errors seen in student responses will also be thoroughly discussed throughout the curriculum. 
During the course, we will also engage in discussions on classroom techniques and participants will be given the opportunity to share techniques and activities that they have found to be beneficial in their own classrooms.
Calculus BC Agenda:
• Building a more successful AP program 
• Access and Equity
• Pre-AP course alignment 
• Test prep strategies 
• Online resources available in AP Classroom

AB Calculus Topics (mostly brief discussion)
• Chain Rule Differentiation 
• Implicit Differentiation and Related Rates 
• Mean Value Theorem, Curve Sketching 
• Integration and The Fundamental Theorem of Calculus 
• Differential Equations and Slope Fields 
• L’Hospital’s Rule
BC Calculus Topics (in-depth study)
• Euler’s Method 
• Integration by Parts 
• Improper Integrals 
• Series 
     • Taylor Series 
     • Convergence Tests 
     • Interval of Convergence 
     • Error Bound 
• Parametrics
• Polars 
• Vectors
• AP Test Review Materials and Strategies 
• 2022 Free Response Exam