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CalculusA course in single-variable calculus. This course covers limits, continuity, derivatives and their applications, definite and indefinite integrals, infinite sequences and series, plane curves, polar coordinates, and basic differential equations. At the conclusion of the course, students should have sufficient preparation to take the AP Calculus BC exam; however, "AP exam preparation" is not the main focus of the course.This course is University of California a-g approved for all instances starting after April 15, 2016. Click here for more details. |
25 weeks DiagnosticsARE YOU READY? |
25 weeks ARE YOU READY? |
Schedule
Fall 2016 | This course will be offered in Fall 2016. Click here to join our mailing list to be notified when the course schedule is available. |
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Who Should Take?
Students who wish to enroll in Calculus should be able to easily solve most or all of the problems on the diagnostic test above without using a calculator.
Students who do not have a solid algebra background will not be successful in a good calculus course. It is vital that students have mastered the basic high-school math curriculum—algebra, geometry, trigonometry—before attempting a calculus course. Also, this class is considerably more difficult than a typical high-school calculus course, as there will be a greater emphasis on solving hard problems and less emphasis on "routine" calculations.
Lessons
Lesson 1 | Trig Functions, Logarithms, and Exponentials |
Lesson 2 | Sets and Functions |
Lesson 3 | Limits and Continuity |
Lesson 4 | Definition of the Derivative |
Lesson 5 | Chain Rule and Implicit Differentiation |
Lesson 6 | Interpretation of the Derivative |
Lesson 7 | Optimization |
Lesson 8 | More Derivative Applications |
Lesson 9 | Related Rates |
Lesson 10 | The Fundamental Theorem of Calculus |
Lesson 11 | Integration I |
Lesson 12 | Integration II |
Lesson 13 | Integration III |
Lesson 14 | Applications of the Integral |
Lesson 15 | Infinity |
Lesson 16 | Improper Integrals |
Lesson 17 | Sequences |
Lesson 18 | Taylor Series |
Lesson 19 | Parametric Curves |
Lesson 20 | Polar Coordinates |
Lesson 21 | Extra Problems Day |
Lesson 22 | Differential Equations I |
Lesson 23 | Differential Equations II |
Lesson 24 | Some Harder Problems |
Lesson 25 | Course Review |
Required Textbook
Calculus A comprehensive textbook covering single-variable calculus. Specific topics covered include limits, continuity, derivatives, integrals, power series, plane curves, and differential equations. |