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800:140: Intermediate Mathematical Analysis I
3.00 Credits
University of Northern Iowa
Algebraic and topological structure of the reals; limits and continuity; theory of differentiability of functions of a single real variable. Prerequisite(s): 800:062; 800:076; junior standing. (Offered Fall)
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800:140 - Intermediate Mathematical Analysis I
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800:141: Intermediate Mathematical Analysis II
3.00 Credits
University of Northern Iowa
Riemann integration; sequences and series of functions; introduction to Lebesgue integration. Prerequisite(s): 800:140; junior standing. (Offered Spring)
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800:141 - Intermediate Mathematical Analysis II
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800:142: Dynamical Systems: Chaos Theory and Fractals
3.00 Credits
University of Northern Iowa
Historical background, including examples of dynamical systems; orbits, fixed points, and periodic points; one-dimensional and two-dimensional chaos; fractals: Julia sets, the Mandelbrot set, and fractal dimension; computer programs and dynamical systems. Prerequisite(s): 800:061; 800:076; junior standing. (Variable)
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800:142 - Dynamical Systems: Chaos Theory and Fractals
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800:143: Combinatorics
3.00 Credits
University of Northern Iowa
Various ways to enumerate elements of a set and graph theory. Appropriate for mathematics, mathematics education, computer science, and actuarial science students. Prerequisite(s): 800:060 or 810:080; junior standing. (Offered Fall and Spring)
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800:143 - Combinatorics
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800:144: Elementary Number Theory
3.00 Credits
University of Northern Iowa
Topics from properties of integers, prime numbers, congruences, cryptography, Pythagorean triples, Diophantine equations, Fermat's last theorem, Fibonacci numbers, and the golden rectangle. Also, number theoretic connections to abstract algebra. Prerequisite(s): 800:160; junior standing. (Offered Odd Falls and Spring)
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800:144 - Elementary Number Theory
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800:146: Actuarial Examination Preparation
1.00 - 3.00 Credits
University of Northern Iowa
Strengthening student skills solving computational problems similar to those included on actuarial examinations. Analyzing and practicing appropriate choice of problem solving techniques and strategies. May be repeated for credit for preparation for different examinations. (Offered Fall and Spring)
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800:146 - Actuarial Examination Preparation
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800:149: Differential Equations
3.00 Credits
University of Northern Iowa
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. Prerequisite(s): 800:062; 800:076; junior standing. (Offered Fall)
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800:149 - Differential Equations
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800:150: Partial Differential Equations
3.00 Credits
University of Northern Iowa
Study of applied partial differential equations using heat, wave, and potential equations as basis; Fourier series and integrals; Laplace transformations. Prerequisite(s): 800:149; junior standing. (Offered Even Springs)
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800:150 - Partial Differential Equations
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800:152: Introduction to Probability
3.00 Credits
University of Northern Iowa
Axioms of probability, sample spaces having equally likely outcomes, conditional probability and independence, random variables, expectation, moment generating functions, jointly distributed random variables, weak law of large numbers, central limit theorem. Prerequisite(s): 800:061; junior standing. (Offered Fall and Spring)
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800:152 - Introduction to Probability
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800:153: Actuarial Mathematics
3.00 Credits
University of Northern Iowa
Survival distributions and life tables, life insurance, life annuities, benefit premiums. Prerequisite(s): 800:080; 800:152; junior standing. (Offered Even Falls)
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800:153 - Actuarial Mathematics
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