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Full Description
Mathematics lies at the heart of our scientific understanding of climate. This book presents a timely collection of problems and modules that enable instructors to help students engage critically with climate-related topics while deepening and strengthening their mathematical skills. Each activity is carefully curated to provide the necessary scientific background and context, making it easier to integrate climate applications into the classroom. Many exercises foster meaningful connections between data and mathematical theory. The book is organized into two parts. Part 1 features problem sets arranged by course, allowing instructors to quickly locate material aligned with subjects such as college algebra, calculus, linear algebra, and differential equations. Highlights include analyzing solar panel costs through logarithmic models in precalculus, exploring carbon cycle dynamics using matrix-vector multiplication in linear algebra, and finding bifurcations in a differential equation model of tropical cyclones. Part 2 presents eleven in-depth modules for instructors who wish to consider climate applications more extensively. In addition to student-facing materials, each module includes dedicated instructor notes that outline the relevant scientific background, highlight key climate insights, and suggest possible pathways through the content, ranging from multi-day lesson plans to guided student projects. Supplementary resources for the book, including datasets, code, and solutions, are available at www.ams.org/bookpages/clrm-79.
Contents
Problems; Katherine Meyer, Kaitlin Hill, and Katherine Slyman, Before calculus; Katherine Meyer, Kaitlin Hill, and Katherine Slyman, Single variable calculus; Katherine Meyer, Kaitlin Hill, and Katherine Slyman, Multivariable calculus; Katherine Meyer, Kaitlin Hill, and Katherine Slyman, Linear algebra; Katherine Meyer, Kaitlin Hill, and Katherine Slyman, Differential equations and beyond; Modules; Tori Akin and Suzanne Crifo, Modeling energy production and consumption in Washington state; Esther Widiasih and Kaitlin Hill, Estimating the rate of global carbon dioxide emissions; Amber Armstrong and Raney Bice, Precalculus models of polar bear and seal dynamics; Hans Engler, An energy balance model for the surface of the moon; Colin Guider, Christopher K. R. T. Jones, and Katherine Meyer, Glacial mass and the fundamental theorem of calculus; Maria Sanchez-Muniz and Danielle Serrano, Bird migration and climate change; Katherine Meyer and Gareth E. Roberts, A nonlinear ODE model of Earth's energy budget; Tyler P. Evans and Delaney Q. Mosier, Population dynamics, climate feedbacks and extinction; James A. Walsh, Tipping points in ocean dynamics: An investigation; Kaitlin Hill and Katherine Slyman, El Nino and bifurcations; Pushpi Paranamana, From equations to shape: Topological data analysis and the Lorenz attractor; Permissions and credits; Index
