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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 2

This is lecture 2 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It continues to address the questionsIs the globe warming?What determines the Earth's temper…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 3

This is lecture 3 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.This lecture covers basics of earth's energy balance, including concepts such as the Stefan-…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 5

This is lecture 5 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It explores the what and why of Earth's glacial cycles. Topics treated include:how analysis …
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 7

This is lecture 7 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It reviews previous lectures on glacial cycles, and illustrates how Budyko's model fails to …
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 8

This is lecture 8 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It continues the survey of recent developments in modeling glacial cycles, including Huybers'…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 9

This is lecture 9 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It delves deeper into how isotopes, particularly Oxygen-18, are used to know past climates, and …
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 14

This is lecture 14 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It provides an introduction to linear analysis of equilibria to better understand the nature of…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 19

This is lecture 19 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It presents some basics of bifurcation theory, including saddle-node bifurcations, Poincare con…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 22

This is lecture 22 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.This lecture treats the phenomenon of exponential growth in errors for chaotic systems, using L…
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MCRN

Introduction to the Mathematics of Climate

…rse webpage and syllabus below for additional information.Course webpage SyllabusLectures: 2:30 - 3:45 pm MWLind Hall 305Instructor: Professor Richard McGehee   Textbook: Hans Kaper and Hans Engler, Mathematics & Climate, SIAM, 2013. more...   Course Grade: Homework 25Project 65Subjective Evaluation* 10Total 100*The subjective evaluation includes class participation and effort.   Project: Each student must complete a class project according to the following schedule. Students are expected to discuss the project with the instructor before the preliminary proposal is due on October 1. Group proje…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 4

This is lecture 4 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It begins by summarizing various energy balance models, building in complexity toward Budyko'…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 6

This is lecture 6 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It continues with lecture 5's topics of glacial cycles, Milankovitch cycles, obliquity, prec…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 11

This is lecture 11 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.This lecture scrutinizes some spurious and some good science in the film "The Day After Tomorro…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 13

This is lecture 13 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.This lecture works through the details of Stommel's Ocean Box Model, which displays two con…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 15

This is lecture 15 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It introduces the equilibrium types of nodes, saddles, and spirals and presents the classificat…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 16

This is lecture 16 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It finishes the discussion of topological classification and conjugacy of equilibria, and summa…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 17

This is lecture 17 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It introduces flows, which are determined by vector fields. It rigorously defines stability and…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 18

This is lecture 18 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.This lecture applies the analytic tools of classifying equilibria developed in lectures 14-17 t…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 20

This is lecture 20 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.It discusses the Hopf bifurcation and explores whether such a mechanism might underlie the mid-…
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MCRN

Introduction to the Mathematics of Climate at UMN - Lecture 21

This is lecture 21 in the series "Introduction to the Mathematics of Climate" offered at the University of Minnesota in 2014 with the support of MCRN and The Institute for Mathematics and its Applications.This lecture introduces the concept of chaos in light of the question "can we predict the futur…
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