Fall 2014

MAD 4401 Introduction to Numerical Analysis Fall 2014.

•TI-Nspire CX CAS manuals.
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•MAD 4401 Test 1.
•Numerical differentiation.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Brief introduction to queueing theory and its applications.
•TI-Nspire CX CAS programs.
•TI-Nspire CX CAS programs (convert from .txt to .tns).
•MAD 4401 practice problems.
•MAD 4401 practice Test 2.
•MAD 4401 practice Test 2.
•MAD 4401 practice Test 2.
•MAD 4401 Test 2.
•MAD 4401 Final Exam.

MTG 5316/4302 Introduction to Topology Fall 2014.

•Assignment 1 due 9/8/14.
•The Banach Tarski Paradox a proof by Karl Stromberg in the MAA Monthly (through UF Library subscription).
•Assignment 2 due 9/15/14.
•Proof that distance from a point to a set is continuous.
•Assignment 3 due 9/26/14.
•Proof of the Contraction Mapping Theorem.
•Picard iteration as an application of the Contraction Mapping Theorem.
•Proof that period three implies all periods.
•Assignment 4 due 10/3/14.
•The Baire Category Theorem and some variations.
•Assignment 5 due 10/10/14.
•Assignment 6 due 10/20/14.
•Assignment 7 due 10/27/14.
•Assignment 8 due 11/3/14.
•Assignment 9 due 11/12/14.
•Brief description of the dyadic solenoid.
•Proofs of the Alexander subbase theorem and the Tychonoff theorem.
•Practice final exam.
•Practice final exam.
•Practice final exam.
•Practice final exam.
•Practice problems for the final exam.
•Final Exam.

Spring 2015

MAD 4401 Introduction to Numerical Analysis Spring 2015.

•MAD 4401 Assignment due 1/16/15.
•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•Numerical differentiation.
•Practice problems for material covered.
•Test 1.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Brief introduction to queueing theory and its applications.
•MAD 4401 Assignment due 4/13/15.
•Test 2.
•Final.

MTG 5317/4303 Introduction to Topology Spring 2015.

•Assignment due 1/16/15.
•Problems for MTG 5317/4303.
•Test 1 MTG 5317/4303.
•Assignment due 4/13/15.
•Test 2 MTG 5317/4303.
•Final MTG 5317/4303.

Fall 2015

MAD 4401 Introduction to Numerical Analysis Fall 2015.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs.
•TI-Nspire CX CAS programs (convert from .txt to .tns).
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•MAD 4401 Test 1.
•Numerical Differentiation.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Linear Ordinary Differential Equations.
•Quiz 2. These problems are also included in the Practice Problems for the course.
•Brief introduction to queueing theory and its applications.
•MAD 4401 practice Test 2.
•MAD 4401 Test 2.
•MAD 4401 Final.
•MAD 4401 practice problems.

MAA 4211 Advanced Calculus Fall 2015.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs.
•TI-Nspire CX CAS programs (convert from .txt to .tns).
•Test 1 for MAA 4211 given 9/25/15.
•Markov Graphs and Sharkovsky’s Theorem.
•Bifurcation diagram for the quadratic family of functions.
•Quiz 2. These problems are also incorporated in the Practice Problems for the course.
•Proof of the Contraction Mapping Theorem.
•The Baire Category Theorem and some variations.
•The Taylor Remainder Theorem and a proof.
•Practice Test 2 for MAA 4211.
•Test 2 for MAA 4211.
•Final exam for MAA 4211.
•Practice problems for MAA 4211.

Spring 2016

MAD 4401 Introduction to Numerical Analysis Spring 2016.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•Test 1.
•Numerical differentiation.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Linear Ordinary Differential Equations.
•Brief introduction to queueing theory and its applications.
•Test 2.
•MAD 4401 practice problems.

MAA 4212 Advanced Calculus Spring 2016.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•Practice problems for MAA 4211.
•An example in difference equations that is used in integrating xⁿ.
•Brief summary of Riemann integration.
•Measure Theory and Integration, AMS Graduate Studies in Mathematics No. 76 chapter on the Riemann integral.
•Wikipedia article on the Riemann integral.
•Khan Academy YouTube lecture on the Riemann integral. This is linked to other lectures on the subject.
•Brief summary of Romberg integration.
•An American Mathematical Monthly article giving a short proof of Romberg integration. Access requires that you be on the University network.
•Spring 2016 Test 1.
•Stability of a floating cone with vertex down.
•The Taylor Remainder Theorem and a proof.
•Principles of Power Series and some applications.
•Quiz on Power Series.
•Proof of the Contraction Mapping Theorem.
•Solution of Ordinary Differential Equations using the Picard method.
•Spring 2016 Test 2.
•Spring 2016 Final.
•MAA 4212 Practice Problems.

Fall 2016

MAP Introduction to Differential Equations Fall 2016.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Exact differential equations.
•Linear first-order differential equations.
•Homogeneous Differential Equations.
•Atmospheric pressure decreases exponentially.
•Linear Second-Order Differential Equations with Constant Coefficients.
•Test 1 MAP 2302.
•Linear Higher-Order Differential Equations with Constant Coefficients.
•Linear Homogeneous Higher-Order Differential Equations, the Wronskian, and variation of parameters.
•Linear Ordinary Differential Equations.
•Laplace Transforms, notes of Zachary Tseng. The notes include exercises.
•Practice Test 2.
•Practice Test 2.
•Test 2.
•Final exam for MAD 2302.
•MAP 2302 Practice Problems..

MAD 4401 Introduction to Numerical Analysis Fall 2016.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•Test 1 MTG 4401.
•Numerical differentiation.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Brief introduction to queueing theory and its applications.
•Practice Test 2 MAD 4401.
•Test 2 MAD 4401.
•Final exam for MAD 4401.
•MAD 4401 practice problems.

Fall 2017

MAD 4401 Introduction to Numerical Analysis Fall 2017.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Quiz 1.
•Markov Graphs and Sharkovsky’s Theorem.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•Test 1 MAD 4401.
•Test 1 MAD 4401 given 10/2/2017.
•Numerical differentiation.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Linear systems of ordinary differential equations.
•Brief introduction to queueing theory and its applications.
•Practice Test 2 MAD 4401.
•Test 2 MAD 4401.
•Quiz 2.
•Quiz 3.
•Final exam for MAD 4401 Fall 2016.
•Final exam for MAD 4401 Fall 2017.
•MAD 4401 practice problems.

MAA 4211 Advanced Calculus Fall 2017.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs.
•TI-Nspire CX CAS programs (convert from .txt to .tns).
•Quiz 1.
•Practice Test 1.
•Example of a continuous map from the interval [0,1] onto the square [0,1] x [0,1].
•Test 1 for MAA 4211 given 9/25/15.
•Markov Graphs and Sharkovsky’s Theorem.
•Test 1 for MAA 4211 given 10/11/2017.
•Quiz 2.
•Bifurcation diagram for the quadratic family of functions.
•Some topics on the history of analysis including excerpts from original sources.
•Some topics on the history of analysis from the perspective of topology including excerpts from original sources.
•The MacTutor History of Mathematics archive, a valuable resource for the history of Mathematics. There are brief histories for a number of topics including Calculus.
•Proof that continuous functions on compact spaces are uniformly continuous.
•Proof of the Contraction Mapping Theorem.
•Proof of the Cauchy Mean Value Theorem.
•Solution of Ordinary Differential Equations using the Picard method.
•The Baire Category Theorem and some variations.
•Quiz 3.
•Quiz 4.
•Quiz 5.
•The Taylor Remainder Theorem and a proof.
•Practice Test 2 for MAA 4211.
•Test 2 for MAA 4211.
•Final exam for MAA 4211 Fall 2015.
•Final exam for MAA 4211 Fall 2017.
•Practice problems for MAA 4211.

Spring 2018

MAD 4401 Introduction to Numerical Analysis Spring 2018.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Quiz 1.
•Markov Graphs and Sharkovsky’s Theorem.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•Test 1 MAD 4401.
•Test 1 MAD 4401 given 10/2/2017.
•Numerical differentiation.
•Practice Test 1 MAD 4401 2/13/2018.
•Test 1 MAD 4401 Spring 2018.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Linear systems of ordinary differential equations.
•Brief introduction to queueing theory and its applications.
•Practice Test 2 MAD 4401.
•Test 2 MAD 4401.
•Quiz 2.
•Quiz 3.
•Quiz 1 Spring 2018.
•Calculations for a cubic spline.
•Wikipedia article on Julia sets.
•Quiz 4 Spring 2018.
•Test 2 MAD 4401 Spring 2018.
•Final exam for MAD 4401 Fall 2016.
•Final exam for MAD 4401 Fall 2017.
•MAD 4401 Final Spring 2018.
•MAD 4401 practice problems.

MAA 4212 Advanced Calculus Spring 2018.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•Practice problems for MAA 4211.
•An example in difference equations that is used in integrating xⁿ.
•Brief summary of Riemann integration.
•Quiz 1 Spring 2018.
•Measure Theory and Integration, AMS Graduate Studies in Mathematics No. 76 chapter on the Riemann integral.
•Wikipedia article on the Riemann integral.
•Khan Academy YouTube lecture on the Riemann integral. This is linked to other lectures on the subject.
•Fermat’s determination of an integral.
•Cavalieri’s determination of the area of an ellipse.
•Cavalieri’s determination of the volume of a sphere.
•Cavalieri’s determination of the volume of a torus.
•Archimedes’ determination of the volume of a sphere.
•The basic idea of Pappus’ Theorem.
•Features of the logarithm and exponential functions.
•Proof of the Cauchy Mean Value Theorem.
•Proof of L’Hospital’s Rule.
•Derivation of atmospheric pressure.
•Brief summary of Romberg integration.
•An American Mathematical Monthly article giving a short proof of Romberg integration. Access requires that you be on the University network.
•Practice Test 1 Spring 2018.
•Spring 2016 Test 1.
•Spring 2018 Test 1.
•Stability of a floating cone with vertex down.
•The Taylor Remainder Theorem and a proof.
•Principles of Power Series and some applications.
•Quiz on Power Series.
•Another Quiz on Power Series.
•Proof of the Contraction Mapping Theorem.
•Quiz on function spaces.
•Proof of the Stone-Weierstrass Theorem. Among other things the theorem states that the polynomials are uniformly dense in the continuous functions on [a,b].
•Proof that most continuous functions are not differentiable. The proof uses the Baire Category Theorem on the space of continuous functions over [a,b]. The set of functions that are nowhere differentiable contains a dense G_δ.
•The Baire Category Theorem and some variations.
•Solution of Ordinary Differential Equations using the Picard method.
•Wikipedia article on solution of Ordinary Differential Equations using the Picard method. Note the proof that the Picard function is finally contracting. This optimizes the interval of convergence.
•Spring 2016 Test 2.
•Spring 2018 Test 2.
•Spring 2016 Final.
•MAA 4212 Final Spring 2018.
•Spring 2018 MAA 4212 Practice Problems.

Fall 2018

MTG 5316/4302 Introduction to Topology Fall 2018.

•Assignment 1 Fall 2018 due 8/31/18.
•Assignment 2 Fall 2018 due 9/14/18.
•Assignment 3 Fall 2018 due 9/21/18.
•Assignment 4 Fall 2018 due 9/28/18.
•Assignment 5 Fall 2018 due 10/5/18.
•Assignment 6 Fall 2018 due 10/12/18.
•Assignment 7 Fall 2018 due 10/19/18.
•Assignment 8 Fall 2018 due 10/26/18.
•Assignment 9 Fall 2018 due 11/9/18.
•Assignment 10 Fall 2018 due 11/16/18.
•Outline of Topology for review.
•Review problems for final Fall 2018.
•Quiz 1 on review problems for final Fall 2018.
•Quiz 2 on review problems for final Fall 2018.
•Quiz 3 on review problems for final Fall 2018.
•Quiz 4 on review problems for final Fall 2018.
•Practice Final for Fall 2018.

•Example of a continuous map from the interval [0,1] onto the square [0,1] x [0,1].
•Proof that period three implies all periods.
•Preprint showing that Smale-Williams solenoid attractors are unions of orbits of differential equations.
•Published version.
•Roger Howe, Very Basic Lie Theory in the American Mathematical Monthly. Requires UF access.

•Assignment 1 due 9/8/14.
•The Banach Tarski Paradox a proof by Karl Stromberg in the MAA Monthly (through UF Library subscription).
•Assignment 2 due 9/15/14.
•Proof that distance from a point to a set is continuous.
•Assignment 3 due 9/26/14.
•Proof of the Contraction Mapping Theorem.
•Picard iteration as an application of the Contraction Mapping Theorem.
•Proof that period three implies all periods.
•Assignment 4 due 10/3/14.
•The Baire Category Theorem and some variations.
•Assignment 5 due 10/10/14.
•Assignment 6 due 10/20/14.
•Assignment 7 due 10/27/14.
•Assignment 8 due 11/3/14.
•Assignment 9 due 11/12/14.
•Brief description of the dyadic solenoid.
•Proofs of the Alexander subbase theorem and the Tychonoff theorem.
•Practice final exam.
•Practice final exam.
•Practice final exam.
•Practice final exam.
•Final Exam Fall 2014.
•Final Exam Fall 2018.
•Practice problems for the final exam.

MAD 4401 Fall 2018.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Quiz 1.
•Markov Graphs and Sharkovsky’s Theorem.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•Test 1 MAD 4401.
•Test 1 MAD 4401 given 10/2/2017.
•Numerical differentiation.
•Practice Test 1 MAD 4401 2/13/2018.
•Test 1 MAD 4401 Spring 2018.
•Practice Test 1 MAD 4401 Fall 2018. Test 1 to be given 10/1/2018.
•Test 1 MAD 4401 Fall 2018. Test 1 given 10/1/2018.
•Quiz 1 MAD 4401 Fall 2018. Quiz 1 used in class 10/10/2018.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Linear systems of ordinary differential equations.
•Brief introduction to queueing theory and its applications.
•Bayes Theorem and medical test.
•Gambler’s Ruin.
•Gambler’s Ruin with some applications.
•Practice Test 2 MAD 4401.
•Test 2 MAD 4401.
•Quiz 2.
•Quiz 3.
•Quiz 1 Spring 2018.
•Calculations for a cubic spline.
•Wikipedia article on Julia sets.
•Quiz 4 Spring 2018.
•Test 2 MAD 4401 Spring 2018.
•Final exam for MAD 4401 Fall 2016.
•Final exam for MAD 4401 Fall 2017.
•MAD 4401 Final Spring 2018.
•Review for MAD 4401 Test 2 Fall 2018.
•MAD 4401 Final Fall 2018.
•MAD 4401 practice problems.

Spring 2019

MTG 5317/4303 Introduction to Topology Spring 2019.

•L.E.J. Brouwer characterization of the Cantor set.
•A simple proof of the Seifert van Kampen Theorem using covering spaces.
•Algebraic Topology by Hatcher. There is an excellent chapter on the fundamental group and van Kampen’s theorem.
•Wikipedia article on the Seifert van Kampen Theorem.
•Quiz 1 for MTG 5317/4303 for Spring 2019.
•Quiz 2 for MTG 5317/4303 for Spring 2019.
•Quiz 3 for MTG 5317/4303 for Spring 2019.
•Classification of surfaces for MTG 5317/4303 for Spring 2019.
•Classification of surfaces for MTG 5317/4303 for Spring 2019. You must be connected to the UF network to access this book.
•Classification of surfaces, a paper produced through an REU at the University of Chicago.
•Test 1 for MTG 5317/4303 for Spring 2019.
•A proof that a regular Lindelöf space is normal.
•Proofs of the Alexander subbase theorem and the Tychonoff theorem.
•J.L. Kelley’s proof that the Tychonoff Theorem implies the Axiom of Choice. Can you find the mistake in the proof? Can you correct it?
•Quiz 4 for MTG 5317/4303 for Spring 2019.
•Quiz 5 for MTG 5317/4303 for Spring 2019.
•Quiz 6 for MTG 5317/4303 for Spring 2019. These are the problems for review for Test 2.
•Proof of the Jordan Curve Theorem.
•Retracts and extensors in the book Geometric Aspects of General Topology by Katsuro Sakai. You must be on the UF network to access this book.
•Test 2 for MTG 5317/4303 for Spring 2019.
•Final for MTG 5317/4303 for Spring 2019.
•Problems for MTG 5317/4303 for Spring 2019.

•Assignment due 1/16/15.
•Problems for MTG 5317/4303.
•Test 1 MTG 5317/4303.
•Assignment due 4/13/15.
•Test 2 MTG 5317/4303.
•Final MTG 5317/4303.

Fall 2019

MAD 4401 Fall 2019.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•Guidelines for course evaluations.
•Disasters caused by bad numerical methods.
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Quiz 1 Fall 2019.
•Quiz 2 Fall 2019.
•Quiz 3 Fall 2019.
•Quiz 4 Fall 2019.
•Quiz 5 Fall 2019.
•Test 1 Fall 2019.
•Quiz 6 Fall 2019.
•Quiz 7 Fall 2019.
•Quiz 8 Fall 2019.
•Quiz 9 Fall 2019.
•Practice Test 2(1) Fall 2019.
•Practice Test 2(2) Fall 2019.
•Practice Test 2(3) Fall 2019.
•Test 2 Fall 2019.
•Final Fall 2019.
•Quiz 1.
•Markov Graphs and Sharkovsky’s Theorem.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•Test 1 MAD 4401.
•Test 1 MAD 4401 given 10/2/2017.
•Numerical differentiation.
•Practice Test 1 MAD 4401 2/13/2018.
•Test 1 MAD 4401 Spring 2018.
•Practice Test 1 MAD 4401 Fall 2018. Test 1 to be given 10/1/2018.
•Test 1 MAD 4401 Fall 2018. Test 1 given 10/1/2018.
•Quiz 1 MAD 4401 Fall 2018. Quiz 1 used in class 10/10/2018.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Linear systems of ordinary differential equations.
•Brief introduction to queueing theory and its applications.
•Bayes Theorem and medical test.
•Gambler’s Ruin.
•Gambler’s Ruin with some applications.
•Practice Test 2 MAD 4401.
•Test 2 MAD 4401.
•Quiz 2.
•Quiz 3.
•Quiz 1 Spring 2018.
•Calculations for a cubic spline.
•Wikipedia article on Julia sets.
•Quiz 4 Spring 2018.
•Test 2 MAD 4401 Spring 2018.
•Final exam for MAD 4401 Fall 2016.
•Final exam for MAD 4401 Fall 2017.
•MAD 4401 Final Spring 2018.
•Review for MAD 4401 Test 2 Fall 2018.
•MAD 4401 Final Fall 2018.
•MAD 4401 practice problems.

MAD 4401 Fall 2019.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•Guidelines for course evaluations.
•Disasters caused by bad numerical methods.
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Quiz 1 Fall 2019.
•Quiz 2 Fall 2019.
•Quiz 3 Fall 2019.
•Quiz 4 Fall 2019.
•Quiz 5 Fall 2019.
•Test 1 Fall 2019.
•Quiz 6 Fall 2019.
•Quiz 7 Fall 2019.
•Quiz 8 Fall 2019.
•Quiz 9 Fall 2019.
•Practice Test 2(1) Fall 2019.
•Practice Test 2(2) Fall 2019.
•Practice Test 2(3) Fall 2019.
•Test 2 Fall 2019.
•Final Fall 2019.
•Quiz 1.
•Markov Graphs and Sharkovsky’s Theorem.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•Test 1 MAD 4401.
•Test 1 MAD 4401 given 10/2/2017.
•Numerical differentiation.
•Practice Test 1 MAD 4401 2/13/2018.
•Test 1 MAD 4401 Spring 2018.
•Practice Test 1 MAD 4401 Fall 2018. Test 1 to be given 10/1/2018.
•Test 1 MAD 4401 Fall 2018. Test 1 given 10/1/2018.
•Quiz 1 MAD 4401 Fall 2018. Quiz 1 used in class 10/10/2018.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Linear systems of ordinary differential equations.
•Brief introduction to queueing theory and its applications.
•Bayes Theorem and medical test.
•Gambler’s Ruin.
•Gambler’s Ruin with some applications.
•Practice Test 2 MAD 4401.
•Test 2 MAD 4401.
•Quiz 2.
•Quiz 3.
•Quiz 1 Spring 2018.
•Calculations for a cubic spline.
•Wikipedia article on Julia sets.
•Quiz 4 Spring 2018.
•Test 2 MAD 4401 Spring 2018.
•Final exam for MAD 4401 Fall 2016.
•Final exam for MAD 4401 Fall 2017.
•MAD 4401 Final Spring 2018.
•Review for MAD 4401 Test 2 Fall 2018.
•MAD 4401 Final Fall 2018.
•MAD 4401 practice problems.

Spring 2020

MAD 4401 Spring 2020.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•Guidelines for course evaluations.
•Some useful TI-Nspire programs.
•Disasters caused by bad numerical methods.
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Quiz 1 Spring 2020. Write answers on a printed copy of the quiz. Turn the quiz in at the beginning of class on 22 January 2020.
•Quiz 2 Spring 2020. Not collected or graded.
•Quiz 1 Fall 2019.
•Quiz 2 Fall 2019.
•Quiz 3 Fall 2019.
•Quiz 4 Fall 2019.
•Quiz 5 Fall 2019.
•Test 1 Fall 2019.
•Quiz 6 Fall 2019.
•Quiz 7 Fall 2019.
•Quiz 8 Fall 2019.
•Quiz 9 Fall 2019.
•Practice Test 2(1) Fall 2019.
•Practice Test 2(2) Fall 2019.
•Practice Test 2(3) Fall 2019.
•Test 2 Fall 2019.
•Final Fall 2019.
•Quiz 1.
•Markov Graphs and Sharkovsky’s Theorem.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•Test 1 MAD 4401.
•Test 1 MAD 4401 given 10/2/2017.
•Numerical differentiation.
•Practice Test 1 MAD 4401 2/13/2018.
•Test 1 MAD 4401 Spring 2018.
•Practice Test 1 MAD 4401 Fall 2018. Test 1 to be given 10/1/2018.
•Test 1 MAD 4401 Fall 2018. Test 1 given 10/1/2018.
•Quiz 1 MAD 4401 Fall 2018. Quiz 1 used in class 10/10/2018.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Linear systems of ordinary differential equations.
•Brief introduction to queueing theory and its applications.
•Bayes Theorem and medical test.
•Gambler’s Ruin.
•Gambler’s Ruin with some applications.
•Practice Test 2 MAD 4401.
•Test 2 MAD 4401.
•Quiz 2.
•Quiz 3.
•Quiz 1 Spring 2018.
•Calculations for a cubic spline.
•Wikipedia article on Julia sets.
•Quiz 4 Spring 2018.
•Test 2 MAD 4401 Spring 2018.
•Final exam for MAD 4401 Fall 2016.
•Final exam for MAD 4401 Fall 2017.
•MAD 4401 Final Spring 2018.
•Review for MAD 4401 Test 2 Fall 2018.
•MAD 4401 Final Fall 2018.
•MAD 4401 practice problems

Fall 2021

MAD 4401 Introduction to Numerical Analysis Fall 2021.

•TI-Nspire CX CAS manuals.
•TI-Nspire CX CAS programs used in course (convert from .txt to .tns).
•The Bisection Method.
•The Newton-Raphson Method.
•More about the Newton-Raphson Method.
•Quiz 1.
•Markov Graphs and Sharkovsky’s Theorem.
•Lagrange interpolating polynomials.
•Newton-Cotes estimate of the integral.
•Brief summary of Romberg integration.
•Brief summary of Gaussian quadrature.
•A short proof of Romberg integration from the MAA Monthly (through UF Library subscription).
•Test 1 MAD 4401.
•Test 1 MAD 4401 given 10/2/2017.
•Numerical differentiation.
•Practice Test 1 MAD 4401 2/13/2018.
•Test 1 MAD 4401 Spring 2018.
•Solution of Ordinary Differential Equations using the Picard method.
•Numerical Solution of Ordinary Differential Equations.
•Linear systems of ordinary differential equations.
•Brief introduction to queueing theory and its applications.
•Practice Test 2 MAD 4401.
•Test 2 MAD 4401.
•Quiz 2.
•Quiz 3.
•Quiz 1 Spring 2018.
•Calculations for a cubic spline.
•Wikipedia article on Julia sets.
•Quiz 4 Spring 2018.
•Test 2 MAD 4401 Spring 2018.
•Final exam for MAD 4401 Fall 2016.
•Final exam for MAD 4401 Fall 2017.
•MAD 4401 Final Spring 2018.
•MAD 4401 practice problems.