What is Grade 12 Calculus and Vectors? What units are coverd in this course?

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I suggest you get a syllabus from one of the teachers teaching the course. A syllabus is basically a list of topics covered in the class, and sometimes assignments as well. You can also ask a friend or the librarian to look through the class textbook.
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Grade 12 Vectors and Calculus should cover the following topics:

- algebra and geometry of vectors, applications of vectors, intersection of lines and planes.

- concept of calculus

- derivatives and derivative applications

- sketching graphs

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This is a question best asked to the teachers in your school. The topics covered in these courses vary from school to school. I imagine the teachers at your school would be very excited that you are looking ahead, and would love to give you an overview of the topics.

For a general overview of vectors and calculus, check out the following links:

http://en.wikipedia.org/wiki/Calculus

http://en.wikipedia.org/wiki/Vector_(mathematics_and_physics)

http://en.wikipedia.org/wiki/Derivative

http://en.wikipedia.org/wiki/Integral

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