Quick simple question about University math

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Currently taking mathematics12/precalculus12(Canada) i think its equivalent to algebra II in the US(someone correct me if i am wrong.)

So, question is:

1) Will topics like Logarithmic Functions + Exponential Functions, Arithmetic sequences and series, etc. be covered and explored in depth at the university level?

i find high school math juvenile the way they give you formulas and expect you to use them without questioning why and how. Basically i want to be prepared for university math and physics courses the best i can by mastering the basics.

Thank you in advance!
 
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jimmyly asked and wrote:

1) Will topics like Logarithmic Functions + Exponential Functions, Arithmetic sequences and series, etc. be covered and explored in depth at the university level?

YES.

i find high school math juvenile the way they give you formulas and expect you to use them without questioning why and how. Basically i want to be prepared for university math and physics courses the best i can by mastering the basics.

What? The book used and the teacher did not show derivations for the laws of exponents and of logarithms? Good books from even 20 to 40 years ago will have these.