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Brash up your calculus. Review Chapter 1.1. Listen to the first lecture.

*Homework* (due by **Monday, 9.1**):

- For which \(x\) there exists a real solution to

\[

y^2-4xy+4=0?

\] - Simplify

\[

\frac{\sin(x+y)-\sin(x-y)}{\sin(y)}.

\] - Solve differential equations

\[

y’=\sin(2x+3)

\]

and - \[

y’=\frac{1}{1+t^2}

\]