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MATH 30123: Discrete Mathematics II
3.00 Credits
Texas Christian University
Prerequisite: MATH 20123. Continuation of MATH 20123. Topics covered include recurrence relations, the principle of inclusionexclusion, binary relations, graphs and trees and Boolean algebra.
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MATH 30133: Symbolic Logic I
3.00 Credits
Texas Christian University
An introduction to the scope and limits of modern logic. The nature of logical systems and the various areas of logic are discussed. Alternative proof- procedures in propositional logic and predicate logic are presented. (Offered as MATH or PHIL credit.)
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MATH 30133 - Symbolic Logic I
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MATH 30143: Symbolic Logic II
3.00 Credits
Texas Christian University
Prerequisite: PHIL 30133. A continuation of 30133, with an emphasis on predicate logic, nonstandard logic, and metalogic. (Offered as MATH or PHIL credit.)
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MATH 30143 - Symbolic Logic II
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MATH 30224: Linear Algebra
3.00 Credits
Texas Christian University
Prerequisite: MATH 10524 and either MATH 10123 or MATH 20524. Vector spaces, linear independence, bases, and dimension. Linear mappings, matrices, and determinants. Eigenvalues and eigenvectors, diagonalization.
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MATH 30524: Calculus III
3.00 Credits
Texas Christian University
Prerequisite: MATH 20524. Vector calculus and multiple integration. Optimization and Lagrange multipliers. Vector fields and potential functions. Gradient, curl, and divergence. Line and surface integrals. The theorems of Green, Stokes, and Gauss, as time permits.
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MATH 30524 - Calculus III
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MATH 30603: Interest Theory
3.00 Credits
Texas Christian University
Prerequisite: MATH 20524. A rigorous development of the theory of interest in both discrete and continuous time. Present value, yield rates, compound interest, amortization, and cash flows. Selected financial applications to bonds and securities.
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MATH 30613: Differential Equations
3.00 Credits
Texas Christian University
Prerequisite: MATH 20524. Solution techniques for ordinary differential equations. Systems of differential equations. Mathematical modeling and applications.
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MATH 30623: Interest Theory II
3.00 Credits
Texas Christian University
Prerequisites: MATH 30603. Treatment of bonds and yield rates, stocks and financial markets, arbitrage, the term structure of interest rates, options and swaps, and topics in interest rate sensitivity including duration, convexity and immunization.
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MATH 30803: Probability and Statistics I
3.00 Credits
Texas Christian University
Prerequisite: MATH 10524. Probability theory. Permutations, combinations, elementary probability, and the binomial theorem. Frequency distributions, mean and standard deviation.
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MATH 30803 - Probability and Statistics I
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MATH 30853: Statistics
3.00 Credits
Texas Christian University
Prerequisites: MATH 20524 and 30803. Organization and analysis of data. Descriptive statistics. Confidence intervals and hypothesis testing. As time permits, topics in regression, analysis of variance, nonparametric statistics, sampling methods.
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MATH 30853 - Statistics
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