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__Warning__: Long post. Skip to the third paragraph for what you need to know.]I ask this partially because I'm beginning to think that it feels like a hassle taking Partial Differential Equations right after learning about Ordinary Differential Equations (which is a much more interesting class, by the way). Maybe it's because my ODE class taught me more intensive techniques than my PDE class and covered more math concepts, though. Or maybe it's because of my PDE professor who moves through the material extremely slowly, covering proofs and examples that are ripped straight from the book. But I'm done ranting about my PDE class.

Anyway, I'm taking Elementary Probability and Statistics right now and am strongly opposed to the idea of taking a related course in the spring, Probabilistic Models in Biology. I took a look through the book that this course uses in my campus bookstore a few days ago. And it turns out that a good chunk of the course goes through the material in the Probability and Statistics course I'm taking right now, in addition to including some Linear Algebra and Differential Equations stuff I learned a while back. The book was Mathematical Methods in Biology, by the way.

As a math major aspiring to become an actuary, I can't help but think that I should be obligated to take as many courses related to probability as I can. At the same time, though, if I take a course that is very interrelated to a course I'm taking right now, I feel as though going through next semester's course will exhaust me and make me lose interest in the class very quickly. Additionally, I will be taking the more advanced probability and statistical inference classes next year, so for the lack of a better word, I kind of need a break from going through probability and statistics. I kind of want to learn something new.

I have three courses to choose from:

(1) Probabilistic Models in Biology

"Probabilistic mathematical modeling emphasizing models and tools used in the biological sciences. Topics include stochastic and Poisson processes, Markov models, estimation, Monte Carlo simulation and Ising models and Ising models. A computer lab may be taken concurrently." (pre-requisite: Calculus II)

(2) Introduction to the Theory of Numbers

"Congruences, quadratic residues, arithmetic functions, distribution of primes. Emphasis is on teaching theory and writing, not on computation." (pre-requisite: Proof-writing)

and

(3) Foundations of Euclidean Geometry.

"Axiomatic Euclidean geometry and introduction to the axiomatic method." (pre-requisite: Calculus III, and Proof-writing).

I'm leaning on Euclidean Geometry, but I'm looking for any second opinions you might have.