Instructors
Yang Li
Current College Board AP calculus and AP physics Reader
Adjunct professor of math and physics in University of Hawaii
Teacher of AP calculus AB/BC and AP physics 1, AP physics 2, AP physics C in Myron B Thompson Academy, Honolulu Hawaii
AP Calculus BC instructor of The Johns Hopkins Center for Talented Youth in Johns Hopkins University
Current Certifications of teaching AP calculus AB/BC, AP statistics, AP physics 1,2 and C issued by College Board
Current math and physics 6-12 teacher’s license by Hawaii State Teacher Standards Board
Current math grade 7-12 teacher’s license by Maryland State Department of Education
A bachelor of physics, a master of physics and a master of secondary education (math and physics)
Have taught math and physics in middle school, high school and college face to face and online for 30 years.
Dr. James Salvail
Ph.D of science, master of science and a bachelor of science.
Adjunct professor of math, physics and chemistry at University of Hawaii, Hawaii Pacific University, Chaminade University
Math and science teacher in Maryknoll High School and Kalani High School.
Christopher Wrenn
Bachelor of science, a master of science and a master of art.
Adjunct professor of math and physics at University of Hawaii
Syllabus
Week 1
Derivatives & Chain Rule:
Derivative rules and properties, with verbal, graphical, tabular, and numerical representations
Week 2
Applications of the Derivative:
Applications of the derivative and analytical applications of the derivative.
Week 3
Limits & Continuity:
Asymptotes; definitions of the derivative, continuity, and differentiability; limit summation notation; and L'Hospital's Rule.
Week 4
Integrals and Fundamental Theorem:
Antiderivative rules, indefinite integrals, and definite integrals
Week 5
Important Theorems:
Intermediate Value Theorem, Extreme Value Theorem, Mean Value Theorem Squeeze and Fundamental Theorem
Week 6
Applications of Integrals Part 1:
Particle motion, differential equations, and the accumulation model of the Fundamental Theorem of Calculus (FTC)
Week 7
Applications of Integrals Part 2:
Area bounded by curves, volume with cross sections, and rate in/out applications.
Week 8
General Review of Variety of Topics:
Prepare and review for the AP Calculus AB Exam.
Week 9
Practice Exam 1
Study test taking strategies and practice exam.
Week 10
Practice Exam 2
Study test taking strategies and practice exam.