MPhil, Yale University. PhD, University of Wisconsin–Madison. A statistician and mathematics educator, Dr. Herzig teaches courses in mathematics, statistics, research methods, and social justice in education. Her research documented successful practices and policies for supporting equity and diversity in mathematics education, and she has worked with scientists and attorneys on health care quality and safety, equity and inclusion in education, and voting rights. She spends most of her time working to expand access to STEM education for students of all personal, professional, and social identities through teaching, research, advocacy, and faculty professional development. SLC, 2023–
Undergraduate Courses 2023-2024
Mathematics
介绍统计方法和Analysis
Open, Lecture—Spring
Variance, correlation coefficient, regression analysis, statistical significance, margin of error...you’ve heard these terms and other statistical phrases bantered about before, and you’ve seen them interspersed in news reports and research articles. But what do they mean? How are they used? And why are they so important? Serving as an introduction to the concepts, techniques, and reasoning central to the understanding of data, this lecture course focuses on the fundamental methods of statistical analysis used to gain insight into diverse areas of human interest. The use, misuse, and abuse of statistics will be the central focus of the course; specific topics of exploration will be drawn from experimental design theory, sampling theory, data analysis, and statistical inference. Applications will be considered in current events, business, psychology, politics, medicine, and many other areas of the natural and social sciences. Statistical (spreadsheet) software will be introduced and used extensively in this course, but no prior experience with the technology is assumed. Group conferences, conducted in workshop mode, will serve to reinforce student understanding of the course material. This lecture is recommended for anybody wishing to be a better-informed consumer of data and strongly recommended for those planning to pursue advanced undergraduate or graduate research in the natural sciences or social sciences. Enrolled students are expected to have an understanding of basic high-school algebra and plane coordinate geometry.
Faculty
Calculus II
Open, Seminar—Fall
This course continues the thread of mathematical inquiry, following an initial study of the dual topics of differentiation and integration (see Calculus I course description). Topics to be explored in this course include the calculus of exponential and logarithmic functions, applications of integration theory to geometry, alternative coordinate systems, infinite series, and power series representations of functions. For conference work, students may choose to undertake a deeper investigation of a single topic or application of the calculus or conduct a study of some other mathematically-related topic, including artistic projects. This seminar is intended for students interested in advanced study in mathematics or science, preparing for careers in the health sciences or engineering, or simply wishing to broaden and enrich the life of the mind.