<p>Thank you all for your wonderful help! Of course, I'll wait to decide any of this kind of stuff, but I like all of the ideas that you guys suggested. I feel like I am putting off making a major decision in my life, but as long as I am able to do that without any consequences, I am hopeful that it won't be a problem.</p>
<p>One more question: in preparation for a math-related major, no matter what it is, I will be taking Calculus IV at the University of Cincinnati during the winter quarter. After Calculus IV, I am deducing that I have a couple options that I can go through that I qualify for. (I would ask my guidance counselor, but she doesn't respond to my emails and hasn't been in office the last couple times I visited).</p>
<p>-Differential Equations: First order differential equations (linear, separable, exact), second order linear equations, Wronskians, method of undetermined coeefficients, variation of parameters, series solutions, regular singular points, higher order equations, Laplace transform. Prereq.: Math 263.
-Linear Algebra: Linear equations, matrices, vector spaces, bases and dimension.
-Matrix Methods: Course covers matrices, systems of linear equations, Gaussian elimination, determinants, theory of solutions, computation of inverses, eignenvalues and eigenvectors, coordinate transformations, systems of differential equations, applications to mechanical systems and electrical circuits.
- Probability and Statistics I: Sample statistics. Probability, sample spaces, counting rules, conditional probability. Discrete and continuous random variables, their distributions and expected values. Binomial, Poisson, hypergeometric, normal, gamma distributions. Covariance, correlation. Sampling distributions of means and sums. </p>
<p>I really don't think I have one strict road to go through with UC, where I can only take one class after Calculus IV, so as far as I know, it's up to me! Which one would you guys suggest for someone entering a possible math-and-business or math-and-economics route at Rice, maybe Statistics? Thanks again...</p>