billisnotchicago.com/academics/math/
math courses taken:
from http://www.uni.edu/pubrel/catalog/800.html
Already completed:
800:061. Calculus II -- 4 hrs.
Continuation of 800:060. Prerequisite: C- or better in 800:060.
800:062. Calculus III -- 4 hrs.
Continuation of 800:061. Prerequisite: C- or better in 800:061.
800:072. Introduction to Statistical Methods -- 3 hrs.
Descriptive statistics including correlation and curve fitting. Intuitive treatment of probability and inferential statistics including estimations and hypothesis testing.
800:076. Linear Algebra for Applications -- 3 hrs.
Gaussian elimination; matrix algebra; vector spaces, kernels, and other subspaces; orthogonal projection; eigenvalues and eigenvectors. Prerequisite: 800:060.
800:180(g). History of Mathematics: To the Calculus -- 3 hrs.
Survey of mathematical activities of mankind to the advent of the calculus in the 17th century. Motives, influences, and methods affecting development of algebra, geometry, and number theory in Mesopotamian, Egyptian, Greek, Islamic, and eastern civilizations. Prerequisite: junior standing.
800:185(g). History of Mathematics: From the Calculus to the 21st Century -- 3 hrs.
Survey of mathematical activities of mankind from development of calculus in the 17th century. Rise of analysis, and development of modern algebra, non-Euclidean geometries, and general axiomatic method in the 19th century. Set theory, topology, mathematical logic, and other integrating developments in 20th century mathematics. Prerequisites: 800:061; junior standing.
800:140(g). Intermediate Mathematical Analysis I -- 3 hrs.
Algebraic and topological structure of the reals; limits and continuity; theory of differentiability of functions of a single real variable. Prerequisites: 800:062; 800:076; junior standing.
800:149(g). Differential Equations -- 3 hrs.
Elementary theory and applications of first order differential equations; introduction to numerical techniques of solving differential equations; solutions of nth order linear differential equations with constant coefficients. Prerequisites: 800:062; 800:076; junior standing.
800:160(g). Modern Algebra I -- 3 hrs.
Introduction to study of algebraic systems. Groups, rings, fields, homomorphisms and isomorphisms. Prerequisites: 800:061 or equivalent; 800:076; junior standing.
800:167(g). Topology I -- 3 hrs.
Introductory study of metric spaces, completeness, topological spaces, continuous functions, compactness, connectedness, separability, product, and quotient spaces. Prerequisites: 800:062; 800:076; junior standing.
Currently taking:
800:141(g). Intermediate Mathematical Analysis II -- 3 hrs.
Riemann integration; sequences and series of functions; introduction to Lebesgue integration. Prerequisites: 800:140; junior standing.
800:162(g). Modern Algebra II -- 3 hrs.
Continuation of 800:160. Groups with operators, modules over rings, Sylow theorems, composition series, semi-simple and simple rings, field theory and introduction to Galois theory. Prerequisites: 800:160; junior standing.
800:194. Senior Mathematics Seminar -- 1 hr.
Researching and writing a paper exploring specific theme, topic, or problem in mathematics, culminating with oral presentation to the class. Prerequisite: senior mathematics major.
Topic: The Applications of Topology to Economic Policy
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