ODE-Project Review for students

$\newcommand{\trace}{\operatorname{tr}} \newcommand{\real}{\operatorname{Re}} \newcommand{\imaginary}{\operatorname{Im}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9} \newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}} $

Appendix A Review for students

Here is a list of topics from algebra and calculus that you should make sure you’re familiar with before studying differential equations. To review these topics, click on the links below.

Completing the square of a quadratic function (i.e., converting an expression of the form $ax^2+bx+c$ into one of the form $a(x-h)^2+k$ ).
Solve quadratic equations when factoring does not work (e.g., solve $x^2 - 4x + 15 = 0$).
Solving $2 \times 2$ systems of linear equations (e.g., solve $2x + y = 1, x - 3y = 2$).
Basic derivatives (power rule, product, chain, and quotient rules, trigonometric functions, exponential and logarithmic functions). Also know basic partial derivatives.
Basic integration (integrals of power functions, including integral of $\frac1x\text{,}$ integrals of trigonometric and exponential functions)
Integration by u-substitution.
Integration by parts.
Integration by partial fractions.

Prev Top Next