[Math] How Advanced is ‘Elementary’ Linear Algebra

calculuslinear algebra

I'm planning to start a bachelor's program next year, and it looks like I'll be required to take courses in Linear Algebra as prerequisites for the classes I'm most looking forward to.

Several years ago I took calc courses, but it was extremely difficult for me, and I have not done any complex math in nearly a decade. I'd be fortunate to remember how to do a quadratic equation.

Quick research tells me that 'Linear Algebra' is more complicated than I would think at a glance. Do I actually need to revisit calculus? What other specific subjects will prepare me to handle university-level math again? I'm willing to get text books and tutors, as I have nearly a year to prepare.

Thank you!

Best Answer

Calculus would appear in linear algebra if at all only in the form of examples. For example, differentiation is linear and is not one-to-one.

Some adeptness in basic algebra is essential.

Some ability to do mathematical reasoning will also matter. How does one acquire that? Here unfortunately I'm not sure which books to recommend. This is mostly stuff I learned in 8th through 11th grades, and partly in various undergraduate math courses that were not primarily concerned with how mathematical reasoning is done.

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