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\begin{abstract_online}{Boosting Rocket Performance without Calculus}{%
        \underline{Michael Xue}$^{1}$}{[mxue@vroomlab.com]
        }{%
        $^1$ Vroom Laboratory for Advanced Computing, Indianapolis, USA\newline{}}
    
Given \[v = -c\cdot\log(1-\frac{ea}{a+1+b(a+1)})-c\cdot\log(1-\frac{e}{1+b(a+1)})\] where $a>0, b>0, c>0, 0<e<1$, maximize $v$ with appropriate $a$. \newline{}

The above rocket performance optimization problem is solved using calculus [1]. However, there is an alternative that requires only high school 
mathematics with the help of a Computer Algebra System (CAS). This non-calculus approach places more emphasis on problem solving 
through mathematical thinking, as all symbolic calculations are carried out by the CAS [2]. It also makes a range 
of interesting problems readily tackled with minimum mathematical prerequisites.

\textbf{Keywords} \newline{} Optimization, Computer Algebra, High School Mathematics

\textbf{References} \newline{}
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[1] \textsc{D. Burghes; M. Borrie}, \emph{Modelling with Differential Equations}. Ellis Horwood Limited, Chichester, 1982. \newline{}
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[2] \emph{Omega: A Computer Algebra System Explorer}, at http://www.omega-math.com. \newline{}
    
\end{abstract_online}
