Mathematics Courses Taken at Mount Saint Mary College
I. Calculus I, II, and III
II. Probability and Statistics
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Calculus concentrates on the motion of an object, not only along a fixed path but instantaneously. Integration allows us to find the area under the curve of a simple or complex shape. Differentiation allows us to find rates of change and how one variable affects another. Finally, we apply these concepts in 3-dimensional space and over cylindrical and spherical curves.
Probability and Statistics is used to discern possible outcomes of various scenarios. Discrete and continuous probability distributions are explored, including normal, binomial, hyper-geometric, and Poisson distributions. The probability density function is also discussed in-depth. Linear Algebra is the in-depth analysis of finite and infinite vector spaces and how they are influenced by the manipulation of systems of equations in the form of matrices. Fundamentals of Mathematical Reasoning is the introduction of theorems, terminology, and concepts of the higher-level mathematics. Logic plays a major role as we discover fundamentals of probability and proofs.
In Abstract Algebra, we investigate groups, isomorphisms, and rings. What we know from elementary mathematics is expanded and explored, leading us to prove the theorems that verify why these concepts are true.
MEST 1 & 2 as well as Methods in Mathematics are the elementary school teacher's guides to teaching students from K-8. In these classes, we refreshed all of our basic understandings of elementary mathematics, where we were able to clear up any alternative conceptions, gain valuable resources, and have an introduction to our methods courses with analysis of the standards and lesson planning.
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