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Calculus, Semester 2

Calculus, Semester 2

Enroll on Outschool, or contact me to set up a course for a small group.

In this course, we will learn calculus on a high school/college level. This course will be about equivalent to an AP Calculus AB course, semester 2. Recommended for students who plan to go into science, engineering, medical, or other careers that need calculus.

During the course we will learn more than calculus – – we will learn some history and logic and physics and chemistry and biology and finance and more. We will make you well-prepared for future math and science courses, and more able to use math in everyday life.

Enroll on Outschool, or contact me to set up a course for a small group.

We will have a mix of lecture, Q&A, and in-class work. We will have some interactive lecture in which students practice concepts and techniques as we go, and some assigned homework, which we will use the next class to check student progress. Class progress will follow the needs of the students.

Prerequisites: geometry, algebra 2, and precalculus (including trig).

Enroll on Outschool, or contact me to set up a course for a small group.

Topics covered:

1. Derivatives and integrals of logarithmic and exponential functions
2. Using integration to find area and volume
3. Techniques of integration

Tentative schedule:
Week 1: natural logarithms and derivatives
Week 2: natural logarithms and integration
Week 3: inverse functions
Week 4: derivatives and integrals of exponential functions
Week 5: derivatives and integrals of logs and exponentials with bases other than e
Week 6: growth and decay

Week 7: area between two curves
Week 8: the disc method: volume of a figure
Week 9: the shell method: volume of a figure

Week 10: integration rules
Week 11: integration by parts
Week 12: trig integrals
Week 13: trig substitution
Week 14: review derivatives and integrals

Time permitting: partial fractions for solving integrals, L’Hopital’s Rule, sequences and series, series tests, and power series

Enroll on Outschool, or contact me to set up a course for a small group.