I am in grade 11 in Canada, going to be taking Functions next semester. In grade 12 I will be taking both Advanced Functions and Calculus/Vectors. Are there any good books that I could buy to prepare for these courses and get a good grip on the concepts that I will see in grade 11 and 12 math?

  • $\begingroup$ Just out of curiousity, what does a course in "functions" typically cover? Elementary Algebra? Trig (/transcendental functions)? Set Theory? I'm just curious because we don't have a course called "Functions" down here in the States. $\endgroup$
    – user137731
    Nov 6 '14 at 3:04
  • $\begingroup$ @Bye_World Functions covers Quadratic/Exponential/Sinusoidal functions, as well as focuses on Trig ratios, discreet functions, and equivalent algebraic expressions. Here's a link if you'd like more information; ontariomath.wikispaces.com/file/view/Math%20MCR3U%20curr.pdf/… $\endgroup$
    – Jake
    Nov 6 '14 at 4:58

One option would be to read Functions and Graphs by I. M. Gelfand, E. G. Glagoleva, and E. E. Shnol and Trigonometry by I. M. Gelfand and Mark Saul. Gelfand's books Algebra and The Method of Coordinates are worth reading, if less relevant to what you want to study.

Another good option are the texts Mathematics 1: Japanese Grade 10, Algebra and Geometry: Japanese Grade 11, and Basic Analysis: Japanese Grade 11 edited by Kunihiko Kodaira.

The texts mentioned above are challenging, but the exposition is clear. You can use them to build conceptual understanding and develop your problem-solving skills.


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