Calculus I

This course will provide students with a toolbox of techniques in statistical analysis, with a focus on the biological sciences. Students will learn how to choose and apply a variety of widely used statistical tests, how to design experiments and studies with statistical analysis in mind, and how to use a range of specialized statistical approaches for data types frequently encountered in the biological sciences. The methods we will cover include parametric and nonparametric tests; approaches designed for categorical, ordinal, and continuous data; biodiversity statistics and ordination methods; Bayesian vs. frequentist inference; and robust experimental design. The class will highlight the assumptions involved in statistical inference and the conditions that must be met in order to use statistical tests appropriately. In the lab, students will use the statistical programming language R to explore, display, and analyze data using the methods covered in class. By the end of the term, students should be able to choose appropriate analytical methods for a wide range of data types, design statistically valid experiments, and write code for basic statistical tests in R. Students will be evaluated based on daily homework assignments, weekly lab work, several take-home exams, and a final group presentation based on an original analysis of an archived data set chosen by the students. Note: each student should have a laptop for lab (PC preferred; limited support will be provided for Mac users). Contact the instructor if you do not have your own laptop.

This course will provide students with a toolbox of techniques in statistical analysis, with a focus on the biological sciences. Students will learn how to choose and apply a variety of widely used statistical tests, how to design experiments and studies with statistical analysis in mind, and how to use a range of specialized statistical approaches for data types frequently encountered in the biological sciences. The methods we will cover include parametric and nonparametric tests; approaches designed for categorical, ordinal, and continuous data; biodiversity statistics and ordination methods; Bayesian vs. frequentist inference; and robust experimental design. The class will highlight the assumptions involved in statistical inference and the conditions that must be met in order to use statistical tests appropriately. In the lab, students will use the statistical programming language R to explore, display, and analyze data using the methods covered in class. By the end of the term, students should be able to choose appropriate analytical methods for a wide range of data types, design statistically valid experiments, and write code for basic statistical tests in R. Students will be evaluated based on daily homework assignments, weekly lab work, several take-home exams, and a final group presentation based on an original analysis of an archived data set chosen by the students. Note: each student should have a laptop for lab (PC preferred; limited support will be provided for Mac users). Contact the instructor if you do not have your own laptop.

Just three aquatic species account for most seafood consumed in the US: shrimp, tuna, and salmon. But worldwide consumption is more diverse, including an array of finfish, invertebrates, aquatic plants, algae, and other animals. These ‘blue foods’ are fished, collected, gathered, or grown in the sea or freshwater and play essential roles in supporting human health, nutrition, livelihoods, and culture. Recent studies have shown that the top 7 categories of nutrient-rich animal-source foods are all aquatic in origin. So why do food policy and science still heavily focus on terrestrially produced foods, overlooking blue foods? This course will unpack this conundrum and examine blue food systems from ‘bait to plate’ by analyzing food production, provisioning, and consumption as interlinked activities. Blue food production includes small-scale and industrial harvesting and wild capture and aquaculture systems. Provisioning activities link production and consumption: the offloading of catch, storage and transportation of highly perishable foods, transformations from raw fish to the final product, and the marketing and distribution affected to reach consumers. Finally, consumption includes how we acquire our food, cook and eat it, and dispose of waste, as well as our nutritional and health outcomes. While conventional food policy and science have focused on food production in isolation, a food systems framework sheds light on dynamics that impact the flows and distribution of foods with equity implications: which foods are made by whom, where does food go, and who benefits? This course will introduce students to key changes in the goals and means of food policy, focusing on how the emergent dialogue on food systems in fisheries is reframing how we know and govern aquatic resources. A significant portion of the course will be dedicated to examining blue food case studies, which may include: seaweed farming in Tanzania, fishing cooperatives in Mexico, tuna longliners in the Mid-Atlantic, and Lobster fishing in Maine. Students will work in teams to analyze one of these case studies in-depth, applying a food systems lens to examine each case’s sustainability and equity challenges. Students will be evaluated through their participation in class discussions and in-class activities, weekly writing reflections, and co-leading a class with your case study team. The final project will be a group policy proposal outlining how stakeholders could better govern from a ‘food systems’ perspective in your blue food case study.

Just three aquatic species account for most seafood consumed in the US: shrimp, tuna, and salmon. But worldwide consumption is more diverse, including an array of finfish, invertebrates, aquatic plants, algae, and other animals. These ‘blue foods’ are fished, collected, gathered, or grown in the sea or freshwater and play essential roles in supporting human health, nutrition, livelihoods, and culture. Recent studies have shown that the top 7 categories of nutrient-rich animal-source foods are all aquatic in origin. So why do food policy and science still heavily focus on terrestrially produced foods, overlooking blue foods? This course will unpack this conundrum and examine blue food systems from ‘bait to plate’ by analyzing food production, provisioning, and consumption as interlinked activities. Blue food production includes small-scale and industrial harvesting and wild capture and aquaculture systems. Provisioning activities link production and consumption: the offloading of catch, storage and transportation of highly perishable foods, transformations from raw fish to the final product, and the marketing and distribution affected to reach consumers. Finally, consumption includes how we acquire our food, cook and eat it, and dispose of waste, as well as our nutritional and health outcomes. While conventional food policy and science have focused on food production in isolation, a food systems framework sheds light on dynamics that impact the flows and distribution of foods with equity implications: which foods are made by whom, where does food go, and who benefits? This course will introduce students to key changes in the goals and means of food policy, focusing on how the emergent dialogue on food systems in fisheries is reframing how we know and govern aquatic resources. A significant portion of the course will be dedicated to examining blue food case studies, which may include: seaweed farming in Tanzania, fishing cooperatives in Mexico, tuna longliners in the Mid-Atlantic, and Lobster fishing in Maine. Students will work in teams to analyze one of these case studies in-depth, applying a food systems lens to examine each case’s sustainability and equity challenges. Students will be evaluated through their participation in class discussions and in-class activities, weekly writing reflections, and co-leading a class with your case study team. The final project will be a group policy proposal outlining how stakeholders could better govern from a ‘food systems’ perspective in your blue food case study.

The goal of this sequence of courses is to develop the essential ideas of single-variable calculus: the limit, the derivative, and the integral. Understanding concepts is emphasized over intricate mathematical maneuverings. The mathematics learned are applied to topics from the physical, natural, and social sciences. There is a weekly lab/discussion section. Evaluations are based on homework, participation in class and lab, and tests.

This course is the continuation of Calculus I. It begins by considering further applications of the integral. We then move to approximations and series; we conclude the course with a brief treatment of differential equations. The mathematics learned are applied to topics from the physical, natural, and social sciences. There is a weekly lab/discussion section. Evaluations are based on homework, participation in class and lab, and tests.