{"id":14,"date":"2012-09-05T11:20:59","date_gmt":"2012-09-05T15:20:59","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=14"},"modified":"2026-03-19T08:16:26","modified_gmt":"2026-03-19T12:16:26","slug":"courses-5","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/kees\/courses-5\/","title":{"rendered":"Courses"},"content":{"rendered":"\r\n
\r\n\t
\r\n\t\t
\r\n\t\t\t
\r\n\t\t\t\t\n

Courses<\/h1>\n\n\n\n

Fall 2014<\/strong><\/p>\n\n\n\n\n\n

MAD 4401 Introduction to Numerical Analysis<\/a> Fall 2014.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022MAD 4401 Test 1<\/a>.
\n\u2022Numerical differentiation<\/a>.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022TI-Nspire CX CAS programs<\/a>.
\n\u2022TI-Nspire CX CAS programs (convert from .txt to .tns)<\/a>.
\n\u2022MAD 4401 practice problems<\/a>.
\n\u2022MAD 4401 practice Test 2<\/a>.
\n\u2022MAD 4401 practice Test 2<\/a>.
\n\u2022MAD 4401 practice Test 2<\/a>.
\n\u2022MAD 4401 Test 2<\/a>.
\n\u2022MAD 4401 Final Exam<\/a>.<\/p>\n\n\n\n\n\n

MTG 5316\/4302 Introduction to Topology<\/a> Fall 2014.<\/p>\n\n\n\n\n\n

\u2022Assignment 1 due 9\/8\/14<\/a>.
\n\u2022The Banach Tarski Paradox<\/i><\/a> a proof by Karl Stromberg in the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Assignment 2 due 9\/15\/14<\/a>.
\n\u2022Proof that distance from a point to a set is continuous<\/a>.
\n\u2022Assignment 3 due 9\/26\/14<\/a>.
\n\u2022Proof of the Contraction Mapping Theorem<\/a>.
\n\u2022Picard iteration<\/a> as an application of the Contraction Mapping Theorem.
\n\u2022Proof that period three implies all periods<\/a>.
\n\u2022Assignment 4 due 10\/3\/14<\/a>.
\n\u2022The Baire Category Theorem<\/a> and some variations.
\n\u2022Assignment 5 due 10\/10\/14<\/a>.
\n\u2022Assignment 6 due 10\/20\/14<\/a>.
\n\u2022Assignment 7 due 10\/27\/14<\/a>.
\n\u2022Assignment 8 due 11\/3\/14<\/a>.
\n\u2022Assignment 9 due 11\/12\/14<\/a>.
\n\u2022Brief description of the dyadic solenoid<\/a>.
\n\u2022Proofs of the Alexander subbase theorem and the Tychonoff theorem<\/a>.
\n\u2022Practice final exam<\/a>.
\n\u2022Practice final exam<\/a>.
\n\u2022Practice final exam<\/a>.
\n\u2022Practice final exam<\/a>.
\n\u2022Practice problems for the final exam<\/a>.
\n\u2022Final Exam<\/a>.<\/p>\n\n\n\n\n\n

Spring 2015<\/strong><\/p>\n\n\n\n\n\n

MAD 4401 Introduction to Numerical Analysis<\/a> Spring 2015.<\/p>\n\n\n\n\n\n

\u2022MAD 4401 Assignment due 1\/16\/15<\/a>.
\n\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Numerical differentiation<\/a>.
\n\u2022Practice problems for material covered<\/a>.
\n\u2022Test 1<\/a>.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022MAD 4401 Assignment due 4\/13\/15<\/a>.
\n\u2022Test 2<\/a>.
\n\u2022Final<\/a>.<\/p>\n\n\n\n\n\n

MTG 5317\/4303 Introduction to Topology<\/a> Spring 2015.<\/p>\n\n\n\n\n\n

\u2022Assignment due 1\/16\/15<\/a>.
\n\u2022Problems for MTG 5317\/4303<\/a>.
\n\u2022Test 1 MTG 5317\/4303<\/a>.
\n\u2022Assignment due 4\/13\/15<\/a>.
\n\u2022Test 2 MTG 5317\/4303<\/a>.
\n\u2022Final MTG 5317\/4303<\/a>.<\/p>\n\n\n\n\n\n

Fall 2015<\/strong><\/p>\n\n\n\n\n\n

MAD 4401 Introduction to Numerical Analysis<\/a> Fall 2015.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs<\/a>.
\n\u2022TI-Nspire CX CAS programs (convert from .txt to .tns)<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a>\u00a0from the\u00a0MAA Monthly<\/i>\u00a0(through UF Library subscription).
\n\u2022MAD 4401 Test 1<\/a>.
\n\u2022Numerical Differentiation<\/a>.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Linear Ordinary Differential Equations<\/a>.
\n\u2022Quiz 2<\/a>. These problems are also included in the Practice Problems for the course.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022MAD 4401 practice Test 2<\/a>.
\n\u2022MAD 4401 Test 2<\/a>.
\n\u2022MAD 4401 Final<\/a>.
\n\u2022MAD 4401 practice problems<\/a>.<\/p>\n\n\n\n\n\n

MAA 4211 Advanced Calculus<\/a> Fall 2015.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs<\/a>.
\n\u2022TI-Nspire CX CAS programs (convert from .txt to .tns)<\/a>.
\n\u2022Test 1 for MAA 4211<\/a> given 9\/25\/15.
\n\u2022Markov Graphs and Sharkovsky’s Theorem<\/a>.
\n\u2022Bifurcation diagram<\/a> for the quadratic family of functions.
\n\u2022Quiz 2<\/a>. These problems are also incorporated in the Practice Problems for the course.
\n\u2022Proof of the Contraction Mapping Theorem<\/a>.
\n\u2022The Baire Category Theorem<\/a> and some variations.
\n\u2022The Taylor Remainder Theorem<\/a> and a proof.
\n\u2022Practice Test 2 for MAA 4211<\/a>.
\n\u2022Test 2 for MAA 4211<\/a>.
\n\u2022Final exam for MAA 4211<\/a>.
\n\u2022Practice problems for MAA 4211<\/a>.<\/p>\n\n\n\n\n\n

Spring 2016<\/strong><\/p>\n\n\n\n\n\n

MAD 4401 Introduction to Numerical Analysis<\/a> Spring 2016.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Test 1<\/a>.
\n\u2022Numerical differentiation<\/a>.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Linear Ordinary Differential Equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022Test 2<\/a>.
\n\u2022MAD 4401 practice problems<\/a>.<\/p>\n\n\n\n\n\n

MAA 4212 Advanced Calculus<\/a> Spring 2016.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022Practice problems for MAA 4211<\/a>.
\n\u2022An example in difference equations<\/a> that is used in integrating xn<\/sup><\/i>.
\n\u2022Brief summary of Riemann integration<\/a>.
\n\u2022Measure Theory and Integration<\/i>, AMS Graduate Studies in Mathematics No. 76 chapter on the Riemann integral<\/a>.
\n\u2022Wikipedia article on the Riemann integral<\/a>.
\n\u2022Khan Academy YouTube lecture on the Riemann integral<\/a>. This is linked to other lectures on the subject.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022An American Mathematical Monthly<\/i> article<\/a> giving a short proof of Romberg integration. Access requires that you be on the University network.
\n\u2022Spring 2016 Test 1<\/a>.
\n\u2022Stability of a floating cone with vertex down<\/a>.
\n\u2022The Taylor Remainder Theorem<\/a> and a proof.
\n\u2022Principles of Power Series<\/a> and some applications.
\n\u2022Quiz on Power Series<\/a>.
\n\u2022Proof of the Contraction Mapping Theorem<\/a>.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Spring 2016 Test 2<\/a>.
\n\u2022Spring 2016 Final<\/a>.
\n\u2022MAA 4212 Practice Problems<\/a>.<\/p>\n\n\n\n\n\n

Fall 2016<\/strong><\/p>\n\n\n\n\n\n

MAP Introduction to Differential Equations<\/a> Fall 2016.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Exact differential equations<\/a>.
\n\u2022Linear first-order differential equations<\/a>.
\n\u2022Homogeneous Differential Equations<\/a>.
\n\u2022Atmospheric pressure decreases exponentially<\/a>.
\n\u2022Linear Second-Order Differential Equations with Constant Coefficients<\/a>.
\n\u2022Test 1 MAP 2302<\/a>.
\n\u2022Linear Higher-Order Differential Equations with Constant Coefficients<\/a>.
\n\u2022Linear Homogeneous Higher-Order Differential Equations, the Wronskian, and variation of parameters<\/a>.
\n\u2022Linear Ordinary Differential Equations<\/a>.
\n\u2022Laplace Transforms<\/a>, notes of Zachary Tseng. The notes include exercises.
\n\u2022Practice Test 2<\/a>.
\n\u2022Practice Test 2<\/a>.
\n\u2022Test 2<\/a>.
\n\u2022Final exam for MAD 2302<\/a>.
\n\u2022MAP 2302 Practice Problems.<\/a>.<\/p>\n\n\n\n\n\n

MAD 4401 Introduction to Numerical Analysis<\/a> Fall 2016.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Test 1 MTG 4401<\/a>.
\n\u2022Numerical differentiation<\/a>.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022Practice Test 2<\/a> MAD 4401.
\n\u2022Test 2<\/a> MAD 4401.
\n\u2022Final exam for MAD 4401<\/a>.
\n\u2022MAD 4401 practice problems<\/a>.<\/p>\n\n\n\n\n\n

Fall 2017<\/strong><\/p>\n\n\n\n\n\n

MAD 4401 Introduction to Numerical Analysis<\/a> Fall 2017.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Quiz 1<\/a>.
\n\u2022Markov Graphs and Sharkovsky’s Theorem<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Test 1 MAD 4401<\/a>.
\n\u2022Test 1 MAD 4401<\/a> given 10\/2\/2017.
\n\u2022Numerical differentiation<\/a>.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Linear systems of ordinary differential equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022Practice Test 2<\/a> MAD 4401.
\n\u2022Test 2<\/a> MAD 4401.
\n\u2022Quiz 2<\/a>.
\n\u2022Quiz 3<\/a>.
\n\u2022Final exam for MAD 4401 Fall 2016<\/a>.
\n\u2022Final exam for MAD 4401 Fall 2017<\/a>.
\n\u2022MAD 4401 practice problems<\/a>.<\/p>\n\n\n\n\n\n

MAA 4211 Advanced Calculus<\/a> Fall 2017.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs<\/a>.
\n\u2022TI-Nspire CX CAS programs (convert from .txt to .tns)<\/a>.
\n\u2022Quiz 1<\/a>.
\n\u2022Practice Test 1<\/a>.
\n\u2022Example of a continuous map<\/a> from the interval [0,1] onto the square [0,1] x [0,1].
\n\u2022Test 1 for MAA 4211<\/a> given 9\/25\/15.
\n\u2022Markov Graphs and Sharkovsky’s Theorem<\/a>.
\n\u2022Test 1 for MAA 4211<\/a> given 10\/11\/2017.
\n\u2022Quiz 2<\/a>.
\n\u2022Bifurcation diagram<\/a> for the quadratic family of functions.
\n\u2022Some topics on the history of analysis<\/a> including excerpts from original sources.
\n\u2022Some topics on the history of analysis<\/a> from the perspective of topology including excerpts from original sources.
\n\u2022The MacTutor History of Mathematics archive<\/a>, a valuable resource for the history of Mathematics. There are brief histories for a number of topics including Calculus.
\n\u2022Proof that continuous functions on compact spaces are uniformly continuous<\/a>.
\n\u2022Proof of the Contraction Mapping Theorem<\/a>.
\n\u2022Proof of the Cauchy Mean Value Theorem<\/a>.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022The Baire Category Theorem<\/a> and some variations.
\n\u2022Quiz 3<\/a>.
\n\u2022Quiz 4<\/a>.
\n\u2022Quiz 5<\/a>.
\n\u2022The Taylor Remainder Theorem<\/a> and a proof.
\n\u2022Practice Test 2 for MAA 4211<\/a>.
\n\u2022Test 2 for MAA 4211<\/a>.
\n\u2022Final exam for MAA 4211 Fall 2015<\/a>.
\n\u2022Final exam for MAA 4211 Fall 2017<\/a>.
\n\u2022Practice problems for MAA 4211<\/a>.<\/p>\n\n\n\n\n\n

Spring 2018<\/strong><\/p>\n\n\n\n\n\n

MAD 4401 Introduction to Numerical Analysis<\/a> Spring 2018.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Quiz 1<\/a>.
\n\u2022Markov Graphs and Sharkovsky’s Theorem<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Test 1 MAD 4401<\/a>.
\n\u2022Test 1 MAD 4401<\/a> given 10\/2\/2017.
\n\u2022Numerical differentiation<\/a>.
\n\u2022Practice Test 1 MAD 4401<\/a> 2\/13\/2018.
\n\u2022Test 1 MAD 4401<\/a> Spring 2018.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Linear systems of ordinary differential equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022Practice Test 2<\/a> MAD 4401.
\n\u2022Test 2<\/a> MAD 4401.
\n\u2022Quiz 2<\/a>.
\n\u2022Quiz 3<\/a>.
\n\u2022Quiz 1 Spring 2018<\/a>.
\n\u2022Calculations for a cubic spline<\/a>.
\n\u2022Wikipedia article on Julia sets<\/a>.
\n\u2022Quiz 4 Spring 2018<\/a>.
\n\u2022Test 2 MAD 4401<\/a> Spring 2018.
\n\u2022Final exam for MAD 4401 Fall 2016<\/a>.
\n\u2022Final exam for MAD 4401 Fall 2017<\/a>.
\n\u2022MAD 4401 Final Spring 2018<\/a>.
\n\u2022MAD 4401 practice problems<\/a>.<\/p>\n\n\n\n\n\n

MAA 4212 Advanced Calculus<\/a> Spring 2018.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022Practice problems for MAA 4211<\/a>.
\n\u2022An example in difference equations<\/a> that is used in integrating xn<\/sup><\/i>.
\n\u2022Brief summary of Riemann integration<\/a>.
\n\u2022Quiz 1 Spring 2018<\/a>.
\n\u2022Measure Theory and Integration<\/i>, AMS Graduate Studies in Mathematics No. 76 chapter on the Riemann integral<\/a>.
\n\u2022Wikipedia article on the Riemann integral<\/a>.
\n\u2022Khan Academy YouTube lecture on the Riemann integral<\/a>. This is linked to other lectures on the subject.
\n\u2022Fermat’s determination of an integral<\/a>.
\n\u2022Cavalieri’s determination of the area of an ellipse<\/a>.
\n\u2022Cavalieri’s determination of the volume of a sphere<\/a>.
\n\u2022Cavalieri’s determination of the volume of a torus<\/a>.
\n\u2022Archimedes’ determination of the volume of a sphere<\/a>.
\n\u2022The basic idea of Pappus’ Theorem<\/a>.
\n\u2022Features of the logarithm and exponential functions<\/a>.
\n\u2022Proof of the Cauchy Mean Value Theorem<\/a>.
\n\u2022Proof of L’Hospital’s Rule<\/a>.
\n\u2022Derivation of atmospheric pressure<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022An American Mathematical Monthly<\/i> article<\/a> giving a short proof of Romberg integration. Access requires that you be on the University network.
\n\u2022Practice Test 1 Spring 2018<\/a>.
\n\u2022Spring 2016 Test 1<\/a>.
\n\u2022Spring 2018 Test 1<\/a>.
\n\u2022Stability of a floating cone with vertex down<\/a>.
\n\u2022The Taylor Remainder Theorem<\/a> and a proof.
\n\u2022Principles of Power Series<\/a> and some applications.
\n\u2022Quiz on Power Series<\/a>.
\n\u2022Another Quiz on Power Series<\/a>.
\n\u2022Proof of the Contraction Mapping Theorem<\/a>.
\n\u2022Quiz on function spaces<\/a>.
\n\u2022Proof of the Stone-Weierstrass Theorem<\/a>. Among other things the theorem states that the polynomials are uniformly dense in the continuous functions on [a,b].
\n\u2022Proof that most continuous functions are not differentiable<\/a>. 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\u03b4<\/sub><\/i>.
\n\u2022The Baire Category Theorem<\/a> and some variations.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Wikipedia article on solution of Ordinary Differential Equations using the Picard method<\/a>. Note the proof that the Picard function is finally contracting. This optimizes the interval of convergence.
\n\u2022Spring 2016 Test 2<\/a>.
\n\u2022Spring 2018 Test 2<\/a>.
\n\u2022Spring 2016 Final<\/a>.
\n\u2022MAA 4212 Final Spring 2018<\/a>.
\n\u2022Spring 2018 MAA 4212 Practice Problems<\/a>.<\/p>\n\n\n\n\n\n

Fall 2018<\/strong><\/p>\n\n\n\n\n\n

MTG 5316\/4302 Introduction to Topology<\/a> Fall 2018.<\/p>\n\n\n\n\n\n

\u2022Assignment 1 Fall 2018 due 8\/31\/18<\/a>.
\n\u2022Assignment 2 Fall 2018 due 9\/14\/18<\/a>.
\n\u2022Assignment 3 Fall 2018 due 9\/21\/18<\/a>.
\n\u2022Assignment 4 Fall 2018 due 9\/28\/18<\/a>.
\n\u2022Assignment 5 Fall 2018 due 10\/5\/18<\/a>.
\n\u2022Assignment 6 Fall 2018 due 10\/12\/18<\/a>.
\n\u2022Assignment 7 Fall 2018 due 10\/19\/18<\/a>.
\n\u2022Assignment 8 Fall 2018 due 10\/26\/18<\/a>.
\n\u2022Assignment 9 Fall 2018 due 11\/9\/18<\/a>.
\n\u2022Assignment 10 Fall 2018 due 11\/16\/18<\/a>.
\n\u2022Outline of Topology<\/i> for review<\/a>.
\n\u2022Review problems<\/i> for final Fall 2018<\/a>.
\n\u2022Quiz 1 on review problems<\/i><\/a> for final Fall 2018.
\n\u2022Quiz 2 on review problems<\/i><\/a> for final Fall 2018.
\n\u2022Quiz 3 on review problems<\/i><\/a> for final Fall 2018.
\n\u2022Quiz 4 on review problems<\/i><\/a> for final Fall 2018.
\n\u2022Practice Final <\/i><\/a> for Fall 2018.<\/p>\n\n\n\n\n\n

\u2022Example of a continuous map<\/a> from the interval [0,1] onto the square [0,1] x [0,1].
\n\u2022Proof that period three implies all periods<\/a>.
\n\u2022Preprint<\/a> showing that Smale-Williams solenoid attractors are unions of orbits of differential equations.
\n\u2022Published version<\/a>.
\n\u2022Roger Howe, Very Basic Lie Theory<\/i><\/a> in the American Mathematical Monthly. Requires UF access.<\/p>\n\n\n\n\n\n

\u2022Assignment 1 due 9\/8\/14<\/a>.
\n\u2022The Banach Tarski Paradox<\/i><\/a> a proof by Karl Stromberg in the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Assignment 2 due 9\/15\/14<\/a>.
\n\u2022Proof that distance from a point to a set is continuous<\/a>.
\n\u2022Assignment 3 due 9\/26\/14<\/a>.
\n\u2022Proof of the Contraction Mapping Theorem<\/a>.
\n\u2022Picard iteration<\/a> as an application of the Contraction Mapping Theorem.
\n\u2022Proof that period three implies all periods<\/a>.
\n\u2022Assignment 4 due 10\/3\/14<\/a>.
\n\u2022The Baire Category Theorem<\/a> and some variations.
\n\u2022Assignment 5 due 10\/10\/14<\/a>.
\n\u2022Assignment 6 due 10\/20\/14<\/a>.
\n\u2022Assignment 7 due 10\/27\/14<\/a>.
\n\u2022Assignment 8 due 11\/3\/14<\/a>.
\n\u2022Assignment 9 due 11\/12\/14<\/a>.
\n\u2022Brief description of the dyadic solenoid<\/a>.
\n\u2022Proofs of the Alexander subbase theorem and the Tychonoff theorem<\/a>.
\n\u2022Practice final exam<\/a>.
\n\u2022Practice final exam<\/a>.
\n\u2022Practice final exam<\/a>.
\n\u2022Practice final exam<\/a>.
\n\u2022Final Exam Fall 2014<\/a>.
\n\u2022Final Exam Fall 2018<\/a>.
\n\u2022Practice problems for the final exam<\/a>.<\/p>\n\n\n\n\n\n

MAD 4401<\/a> Fall 2018.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Quiz 1<\/a>.
\n\u2022Markov Graphs and Sharkovsky’s Theorem<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Test 1 MAD 4401<\/a>.
\n\u2022Test 1 MAD 4401<\/a> given 10\/2\/2017.
\n\u2022Numerical differentiation<\/a>.
\n\u2022Practice Test 1 MAD 4401<\/a> 2\/13\/2018.
\n\u2022Test 1 MAD 4401<\/a> Spring 2018.
\n\u2022Practice Test 1 MAD 4401<\/a> Fall 2018. Test 1 to be given 10\/1\/2018.
\n\u2022Test 1 MAD 4401<\/a> Fall 2018. Test 1 given 10\/1\/2018.
\n\u2022Quiz 1 MAD 4401<\/a> Fall 2018. Quiz 1 used in class 10\/10\/2018.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Linear systems of ordinary differential equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022Bayes Theorem and medical test<\/a>.
\n\u2022Gambler’s Ruin<\/a>.
\n\u2022Gambler’s Ruin with some applications<\/a>.
\n\u2022Practice Test 2<\/a> MAD 4401.
\n\u2022Test 2<\/a> MAD 4401.
\n\u2022Quiz 2<\/a>.
\n\u2022Quiz 3<\/a>.
\n\u2022Quiz 1 Spring 2018<\/a>.
\n\u2022Calculations for a cubic spline<\/a>.
\n\u2022Wikipedia article on Julia sets<\/a>.
\n\u2022Quiz 4 Spring 2018<\/a>.
\n\u2022Test 2 MAD 4401<\/a> Spring 2018.
\n\u2022Final exam for MAD 4401 Fall 2016<\/a>.
\n\u2022Final exam for MAD 4401 Fall 2017<\/a>.
\n\u2022MAD 4401 Final Spring 2018<\/a>.
\n\u2022Review for MAD 4401 Test 2 Fall 2018<\/a>.
\n\u2022MAD 4401 Final Fall 2018<\/a>.
\n\u2022MAD 4401 practice problems<\/a>.<\/p>\n\n\n\n\n\n

Spring 2019<\/strong><\/p>\n\n\n\n\n\n

MTG 5317\/4303 Introduction to Topology<\/a> Spring 2019.<\/p>\n\n\n\n\n\n

\u2022L.E.J. Brouwer characterization of the Cantor set<\/a>.
\n\u2022A simple proof of the Seifert van Kampen Theorem<\/a> using covering spaces.
\n\u2022Algebraic Topology by Hatcher<\/a>. There is an excellent chapter on the fundamental group and van Kampen’s theorem.
\n\u2022Wikipedia article on the Seifert van Kampen Theorem<\/a>.
\n\u2022Quiz 1<\/a> for MTG 5317\/4303 for Spring 2019.
\n\u2022<\/a>Quiz 2<\/a> for MTG 5317\/4303 for Spring 2019.
\n\u2022<\/a>Quiz 3<\/a> for MTG 5317\/4303 for Spring 2019.
\n\u2022<\/a>Classification of surfaces<\/a> for MTG 5317\/4303 for Spring 2019.
\n\u2022<\/a>Classification of surfaces<\/a> for MTG 5317\/4303 for Spring 2019. You must be connected to the UF network to access this book.
\n\u2022<\/a>Classification of surfaces<\/a>, a paper produced through an REU at the University of Chicago.
\n\u2022<\/a>Test 1<\/a> for MTG 5317\/4303 for Spring 2019.
\n\u2022<\/a>A proof that a regular Lindel\u00f6f space is normal<\/a>.
\n\u2022<\/a>Proofs of the Alexander subbase theorem and the Tychonoff theorem<\/a>.
\n\u2022<\/a>J.L. Kelley’s proof<\/a> that the Tychonoff Theorem implies the Axiom of Choice. Can you find the mistake in the proof? Can you correct it?
\n\u2022<\/a>Quiz 4<\/a> for MTG 5317\/4303 for Spring 2019.
\n\u2022<\/a>Quiz 5<\/a> for MTG 5317\/4303 for Spring 2019.
\n\u2022<\/a>Quiz 6<\/a> for MTG 5317\/4303 for Spring 2019. These are the problems for review for Test 2.
\n\u2022<\/a>Proof of the Jordan Curve Theorem<\/a>.
\n\u2022<\/a>Retracts and extensors<\/a> in the book Geometric Aspects of General Topology<\/i> by Katsuro Sakai. You must be on the UF network to access this book.
\n\u2022<\/a>Test 2<\/a> for MTG 5317\/4303 for Spring 2019.
\n\u2022<\/a>Final<\/a> for MTG 5317\/4303 for Spring 2019.
\n\u2022<\/a>Problems for MTG 5317\/4303 for Spring 2019<\/a>.<\/a><\/p>\n\n\n\n\n\n

\u2022Assignment due 1\/16\/15<\/a>.
\n\u2022Problems for MTG 5317\/4303<\/a>.
\n\u2022Test 1 MTG 5317\/4303<\/a>.
\n\u2022Assignment due 4\/13\/15<\/a>.
\n\u2022Test 2 MTG 5317\/4303<\/a>.
\n\u2022Final MTG 5317\/4303<\/a>.<\/p>\n\n\n\n\n\n

Fall 2019<\/strong><\/p>\n\n\n\n\n\n

MAD 4401<\/a> Fall 2019.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022Guidelines for course evaluations<\/a>.
\n\u2022Disasters caused by bad numerical methods<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Quiz 1<\/a> Fall 2019.
\n\u2022Quiz 2<\/a> Fall 2019.
\n\u2022Quiz 3<\/a> Fall 2019.
\n\u2022Quiz 4<\/a> Fall 2019.
\n\u2022Quiz 5<\/a> Fall 2019.
\n\u2022Test 1<\/a> Fall 2019.
\n\u2022Quiz 6<\/a> Fall 2019.
\n\u2022Quiz 7<\/a> Fall 2019.
\n\u2022Quiz 8<\/a> Fall 2019.
\n\u2022Quiz 9<\/a> Fall 2019.
\n\u2022Practice Test 2(1)<\/a> Fall 2019.
\n\u2022Practice Test 2(2)<\/a> Fall 2019.
\n\u2022Practice Test 2(3)<\/a> Fall 2019.
\n\u2022Test 2<\/a> Fall 2019.
\n\u2022Final<\/a> Fall 2019.
\n\u2022Quiz 1<\/a>.
\n\u2022Markov Graphs and Sharkovsky’s Theorem<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Test 1 MAD 4401<\/a>.
\n\u2022Test 1 MAD 4401<\/a> given 10\/2\/2017.
\n\u2022Numerical differentiation<\/a>.
\n\u2022Practice Test 1 MAD 4401<\/a> 2\/13\/2018.
\n\u2022Test 1 MAD 4401<\/a> Spring 2018.
\n\u2022Practice Test 1 MAD 4401<\/a> Fall 2018. Test 1 to be given 10\/1\/2018.
\n\u2022Test 1 MAD 4401<\/a> Fall 2018. Test 1 given 10\/1\/2018.
\n\u2022Quiz 1 MAD 4401<\/a> Fall 2018. Quiz 1 used in class 10\/10\/2018.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Linear systems of ordinary differential equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022Bayes Theorem and medical test<\/a>.
\n\u2022Gambler’s Ruin<\/a>.
\n\u2022Gambler’s Ruin with some applications<\/a>.
\n\u2022Practice Test 2<\/a> MAD 4401.
\n\u2022Test 2<\/a> MAD 4401.
\n\u2022Quiz 2<\/a>.
\n\u2022Quiz 3<\/a>.
\n\u2022Quiz 1 Spring 2018<\/a>.
\n\u2022Calculations for a cubic spline<\/a>.
\n\u2022Wikipedia article on Julia sets<\/a>.
\n\u2022Quiz 4 Spring 2018<\/a>.
\n\u2022Test 2 MAD 4401<\/a> Spring 2018.
\n\u2022Final exam for MAD 4401 Fall 2016<\/a>.
\n\u2022Final exam for MAD 4401 Fall 2017<\/a>.
\n\u2022MAD 4401 Final Spring 2018<\/a>.
\n\u2022Review for MAD 4401 Test 2 Fall 2018<\/a>.
\n\u2022MAD 4401 Final Fall 2018<\/a>.
\n\u2022MAD 4401 practice problems<\/a>.<\/p>\n\n\n\n\n\n

MAD 4401<\/a> Fall 2019.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022Guidelines for course evaluations<\/a>.
\n\u2022Disasters caused by bad numerical methods<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Quiz 1<\/a> Fall 2019.
\n\u2022Quiz 2<\/a> Fall 2019.
\n\u2022Quiz 3<\/a> Fall 2019.
\n\u2022Quiz 4<\/a> Fall 2019.
\n\u2022Quiz 5<\/a> Fall 2019.
\n\u2022Test 1<\/a> Fall 2019.
\n\u2022Quiz 6<\/a> Fall 2019.
\n\u2022Quiz 7<\/a> Fall 2019.
\n\u2022Quiz 8<\/a> Fall 2019.
\n\u2022Quiz 9<\/a> Fall 2019.
\n\u2022Practice Test 2(1)<\/a> Fall 2019.
\n\u2022Practice Test 2(2)<\/a> Fall 2019.
\n\u2022Practice Test 2(3)<\/a> Fall 2019.
\n\u2022Test 2<\/a> Fall 2019.
\n\u2022Final<\/a> Fall 2019.
\n\u2022Quiz 1<\/a>.
\n\u2022Markov Graphs and Sharkovsky’s Theorem<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Test 1 MAD 4401<\/a>.
\n\u2022Test 1 MAD 4401<\/a> given 10\/2\/2017.
\n\u2022Numerical differentiation<\/a>.
\n\u2022Practice Test 1 MAD 4401<\/a> 2\/13\/2018.
\n\u2022Test 1 MAD 4401<\/a> Spring 2018.
\n\u2022Practice Test 1 MAD 4401<\/a> Fall 2018. Test 1 to be given 10\/1\/2018.
\n\u2022Test 1 MAD 4401<\/a> Fall 2018. Test 1 given 10\/1\/2018.
\n\u2022Quiz 1 MAD 4401<\/a> Fall 2018. Quiz 1 used in class 10\/10\/2018.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Linear systems of ordinary differential equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022Bayes Theorem and medical test<\/a>.
\n\u2022Gambler’s Ruin<\/a>.
\n\u2022Gambler’s Ruin with some applications<\/a>.
\n\u2022Practice Test 2<\/a> MAD 4401.
\n\u2022Test 2<\/a> MAD 4401.
\n\u2022Quiz 2<\/a>.
\n\u2022Quiz 3<\/a>.
\n\u2022Quiz 1 Spring 2018<\/a>.
\n\u2022Calculations for a cubic spline<\/a>.
\n\u2022Wikipedia article on Julia sets<\/a>.
\n\u2022Quiz 4 Spring 2018<\/a>.
\n\u2022Test 2 MAD 4401<\/a> Spring 2018.
\n\u2022Final exam for MAD 4401 Fall 2016<\/a>.
\n\u2022Final exam for MAD 4401 Fall 2017<\/a>.
\n\u2022MAD 4401 Final Spring 2018<\/a>.
\n\u2022Review for MAD 4401 Test 2 Fall 2018<\/a>.
\n\u2022MAD 4401 Final Fall 2018<\/a>.
\n\u2022MAD 4401 practice problems<\/a>.<\/p>\n\n\n\n\n\n

Spring 2020<\/strong><\/p>\n\n\n\n\n\n

MAD 4401<\/a> Spring 2020.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022Guidelines for course evaluations<\/a>.
\n\u2022Some useful TI-Nspire programs<\/a>.
\n\u2022Disasters caused by bad numerical methods<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Quiz 1<\/a> Spring 2020. Write answers on a printed copy of the quiz. Turn the quiz in at the beginning of class on 22 January 2020.
\n\u2022Quiz 2<\/a> Spring 2020. Not collected or graded.
\n\u2022Quiz 1<\/a> Fall 2019.
\n\u2022Quiz 2<\/a> Fall 2019.
\n\u2022Quiz 3<\/a> Fall 2019.
\n\u2022Quiz 4<\/a> Fall 2019.
\n\u2022Quiz 5<\/a> Fall 2019.
\n\u2022Test 1<\/a> Fall 2019.
\n\u2022Quiz 6<\/a> Fall 2019.
\n\u2022Quiz 7<\/a> Fall 2019.
\n\u2022Quiz 8<\/a> Fall 2019.
\n\u2022Quiz 9<\/a> Fall 2019.
\n\u2022Practice Test 2(1)<\/a> Fall 2019.
\n\u2022Practice Test 2(2)<\/a> Fall 2019.
\n\u2022Practice Test 2(3)<\/a> Fall 2019.
\n\u2022Test 2<\/a> Fall 2019.
\n\u2022Final<\/a> Fall 2019.
\n\u2022Quiz 1<\/a>.
\n\u2022Markov Graphs and Sharkovsky’s Theorem<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Test 1 MAD 4401<\/a>.
\n\u2022Test 1 MAD 4401<\/a> given 10\/2\/2017.
\n\u2022Numerical differentiation<\/a>.
\n\u2022Practice Test 1 MAD 4401<\/a> 2\/13\/2018.
\n\u2022Test 1 MAD 4401<\/a> Spring 2018.
\n\u2022Practice Test 1 MAD 4401<\/a> Fall 2018. Test 1 to be given 10\/1\/2018.
\n\u2022Test 1 MAD 4401<\/a> Fall 2018. Test 1 given 10\/1\/2018.
\n\u2022Quiz 1 MAD 4401<\/a> Fall 2018. Quiz 1 used in class 10\/10\/2018.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Linear systems of ordinary differential equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022Bayes Theorem and medical test<\/a>.
\n\u2022Gambler’s Ruin<\/a>.
\n\u2022Gambler’s Ruin with some applications<\/a>.
\n\u2022Practice Test 2<\/a> MAD 4401.
\n\u2022Test 2<\/a> MAD 4401.
\n\u2022Quiz 2<\/a>.
\n\u2022Quiz 3<\/a>.
\n\u2022Quiz 1 Spring 2018<\/a>.
\n\u2022Calculations for a cubic spline<\/a>.
\n\u2022Wikipedia article on Julia sets<\/a>.
\n\u2022Quiz 4 Spring 2018<\/a>.
\n\u2022Test 2 MAD 4401<\/a> Spring 2018.
\n\u2022Final exam for MAD 4401 Fall 2016<\/a>.
\n\u2022Final exam for MAD 4401 Fall 2017<\/a>.
\n\u2022MAD 4401 Final Spring 2018<\/a>.
\n\u2022Review for MAD 4401 Test 2 Fall 2018<\/a>.
\n\u2022MAD 4401 Final Fall 2018<\/a>.
\n\u2022MAD 4401 practice problems<\/a><\/p>\n\n\n\n\n\n

Fall 2021<\/strong><\/p>\n\n\n\n\n\n

MAD 4401 Introduction to Numerical Analysis<\/a>\u00a0Fall 2021.<\/p>\n\n\n\n\n\n

\u2022TI-Nspire CX CAS manuals<\/a>.
\n\u2022TI-Nspire CX CAS programs used in course (convert from .txt to .tns)<\/a>.
\n\u2022The Bisection Method<\/a>.
\n\u2022The Newton-Raphson Method<\/a>.
\n\u2022More about the Newton-Raphson Method<\/a>.
\n\u2022Quiz 1<\/a>.
\n\u2022Markov Graphs and Sharkovsky’s Theorem<\/a>.
\n\u2022Lagrange interpolating polynomials<\/a>.
\n\u2022Newton-Cotes estimate of the integral<\/a>.
\n\u2022Brief summary of Romberg integration<\/a>.
\n\u2022Brief summary of Gaussian quadrature<\/a>.
\n\u2022A short proof of Romberg integration<\/i><\/a> from the MAA Monthly<\/i> (through UF Library subscription).
\n\u2022Test 1 MAD 4401<\/a>.
\n\u2022Test 1 MAD 4401<\/a> given 10\/2\/2017.
\n\u2022Numerical differentiation<\/a>.
\n\u2022Practice Test 1 MAD 4401<\/a> 2\/13\/2018.
\n\u2022Test 1 MAD 4401<\/a> Spring 2018.
\n\u2022Solution of Ordinary Differential Equations using the Picard method<\/a>.
\n\u2022Numerical Solution of Ordinary Differential Equations<\/a>.
\n\u2022Linear systems of ordinary differential equations<\/a>.
\n\u2022Brief introduction to queueing theory and its applications<\/a>.
\n\u2022Practice Test 2<\/a> MAD 4401.
\n\u2022Test 2<\/a> MAD 4401.
\n\u2022Quiz 2<\/a>.
\n\u2022Quiz 3<\/a>.
\n\u2022Quiz 1 Spring 2018<\/a>.
\n\u2022Calculations for a cubic spline<\/a>.
\n\u2022Wikipedia article on Julia sets<\/a>.
\n\u2022Quiz 4 Spring 2018<\/a>.
\n\u2022Test 2 MAD 4401<\/a> Spring 2018.
\n\u2022Final exam for MAD 4401 Fall 2016<\/a>.
\n\u2022Final exam for MAD 4401 Fall 2017<\/a>.
\n\u2022MAD 4401 Final Spring 2018<\/a>.
\n\u2022MAD 4401 practice problems<\/a>.<\/p>\n\n\n\n\n\n\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":11,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-14","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/kees\/wp-json\/wp\/v2\/pages\/14","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/kees\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/kees\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/kees\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/kees\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/kees\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":919,"href":"https:\/\/people.clas.ufl.edu\/kees\/wp-json\/wp\/v2\/pages\/14\/revisions\/919"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/kees\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}