University of Minnesota, Richard McGehee, School of Mathematics
NASA Earth

Math 5421 Spring 2025

An Introduction to Mathematical Climate Models

description  syllabus  slides  assignments  solutions

Earthrise

Syllabus

Meetings:   1:25 - 3:20 pm T,Th, Blegen Hall 155, in person
Instructor:    Professor Richard McGehee, mcgehee@umn.edu
Office Hours:    3:30 - 4:30 T,Th, 458 Vincent Hall or by appointment
Credits:    4
Prerequisites:    Math 2243 and Math 2263 or equivalent or consent of instructor
Final Exam Time:    no exams
   
Course Description:    description
Course Goals and Objectives:    This course will use components of the current climate crisis to introduce concepts and techniques of Applied Mathematics.
Upon successful completion of this course, students will be able to explore conceptual mathematical models of energy balance, ocean circulation, sea ice melting, and permafrost melting, and will have learned techniques in dynamical systems, tipping point analysis, and time series analysis.
Course Format:   
  1. Lectures and discussions will be interspersed and combined.
  2. Grades will be based on written homework assignments, student presentations, and class projects. There will be no exams.
  3. Group work is encouraged.
   
Required Material:    Hans Kaper and Hans Engler,Mathematics and Climate, SIAM, 2013
Suggested Material:    Greta Thunberg, The Climate Book, Penguin Press, 2023
   
Technology Recommendations:    It is recommended that you bring to class a laptop or tablet capable of exploring the Internet and accessing Google Sheets, Google Docs, and Google Slides. If you are unable to bring a laptop or tablet, please contact the instructor to work out a solution.
Although you are asked to bring devices with you to class, it is expected that you restrict their use in class to the course content.
Student Workload Expectations:    Students should expect to spend approximately 8 hours per week outside of class working on the course readings and assignments.
   
Assessment:    Homework will be assigned and graded. Students will be asked to give presentations in class, and these will also be graded. Accommodations are available for students for whom oral presentations are difficult.
Course Grade:   
Written Assignments   30
Student Presentations  30
Project*  40
Total 100

* See below for details

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 projects are acceptable, subject to instructor approval.
Milestone    Format    Due Date    Weight
Preliminary Proposal   < 1 page   Feb 20   5
Proposal   < 5 pages   Mar 6   5
Written Progress Report   < 5 pages   Mar 27   5
Progress Report Presentation   < 10 minutes   Apr 10   5
Written Project Due   < 20 pages   Apr 24   10
Project Presentation   < 20 minutes   May 1   10
   
Political Opinions:    The science discussed in this class can be open to interpretation, but those interpretations will be discussed by quantitatively exploring and analyzing the data. However, it is impossible to discuss how to adapt to climate change or how to mitigate climate change without entering politics. We will not shy away from political discussions, but students (and the instructor) are expected to respect the right of everyone to hold different political opinions and to engage in calm and rational discussions.
General expectations for all courses at the University of Minnesota can be found by following the links below.
    Education & Student Life Policies
Student Conduct Code
Use of Personal Electronic Devices in the Classroom
Scholastic Dishonesty
Excused Absences and Makeup Work
Appropriate Student Use of Class Notes and Course Materials
University Grading Scales
Sexual Harassment, Sexual Assault, Stalking and Relationship Violence
Equity, Diversity, Equal Opportunity, and Affirmative Action
Disability Accommodations
Mental Health and Stress Management