Karen Lange
Professor of Mathematics
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Professor Lange's interests are in computability theory, an area of logic that explores the algorithmic content encoded in mathematical problems.
Professor Lange's interests are in computability theory, an area of logic that explores the algorithmic content encoded in mathematical problems. She studies the computational complexity of problems associated with algebraic structures such as real closed fields, fields that are generalizations of the real numbers, and free groups. Answering these computational questions often requires using tools from model theory, another area of logic, and algebra.
Education
- B.A., Swarthmore College
- M.S., University of Chicago
- Ph.D., University of Chicago
Current and upcoming courses
Calculus I
MATH115
Introduction to differential and integral calculus for functions of one variable. The heart of calculus is the study of rates of change. Differential calculus concerns the process of finding the rate at which a quantity is changing (the derivative). Integral calculus reverses this process. Information is given about the derivative, and the process of integration finds the "integral," which measures accumulated change. This course aims to develop a thorough understanding of the concepts of differentiation and integration, and covers techniques and applications of differentiation and integration of algebraic, trigonometric, logarithmic, and exponential functions. MATH 115 is an introductory course designed for students who have not seen calculus before.