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For a long time I've thought the core math curriculum should build towards statistics rather than calculus.

When I took my first Engineering Statistics class, we used calculus to prove the underlying equations. Business statistics skips the proofs.

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Mathematical statistics was one of my favorite courses and I generally think people should take more math.

The sequence I’d go with is something like geometry-> algebra-> discrete math and basic probability-> calculus-> advanced topics.

There are simplified calculus sequences that teach and prove the concepts without grinding through so much trigonometry. That’s what I would do for general track students and leave the more thorough calc w/trig for students pursuing math/engineering/physics.

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