Calculus B introduces integration of functions, differential equations, and applications of integration. The student will calculate antiderivatives using a variety of methods including substitution. The student will evaluate integrals using a variety of methods including numerical integration. Then the student will understand and apply Riemann sums, definite integrals, and the Fundamental Theorem of Calculus. In particular, the student will differentiate and integrate logarithmic, exponential, and inverse trigonometric functions. The student will solve simple differential equations, which can be solved by separation of variables, and use the calculations to solve applied problems. The student will use integration to determine the area between two curves, volume, and surface area. Finally, the student will apply integration to determine work, center of mass, and fluid force.
Students should successfully complete Calculus A prior to enrolling. A TI-83+ or TI-84+ graphing calculator is required for this course. Students can follow this class with AP Calculus BC or a Statistics course but not AP Calculus AB.
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Student participation in this course is documented by the following:
- Coursework submissions recorded by the learning management system.
- Participation verified by the virtual education teacher for time spent working offline.
- Academic-based communication between the student and virtual education teacher or learning coach and virtual education teacher.
- Synchronous time with the class, a group or the virtual education teacher recorded by the learning management system or teacher.
- The virtual education teacher verifies participation in the course 1-3 times a week.
- Virtual education teacher verifies participation 1 to 3 times weekly