## Instructors

### Yang Li

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 at Myron B Thompson Academy, Honolulu Hawaii

AP Calculus BC instructor of The Johns Hopkins Center for Talented Youth in Johns Hopkins University (online)

Certifications of teaching AP calculus AB/BC, AP statistics, AP physics 1,2 and C issued by College Board

Math and physics grade 6-12 teacher’s license by Hawaii State Teacher Standards Board

Math grade 7-12 teacher’s license by Maryland State Department of Education

Bachelor of physics, master of physics and master of education (math and physics)

Have taught math and physics in college, high school and middle school 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.