BME 5205 MATHEMATICAL FOUNDATIONS FOR QUANTITATIVE BIOLOGY - I
As scientists, we make careful but often indirect, incomplete, or noisy experimental measurements and use these to model the world around us. Mathematics gives us a language to quantitatively compare experiments, assess and model error, describe large datasets, abstract complex processes, and build predictive models. This course - the first in a two part series - focuses on the math behind physics-based modeling of biological systems. We will cover: series and combinatorics, differential equations, transform theory, and linear algebra. These ideas are integrated in a final section on a multivariable calculus. Students will build comfort and familiarity with these techniques through both pencil-and-paper assignments and programming exercises in MATLAB. Students will practice abstracting and representing biological systems in mathematical terms and develop familiarity with numerical (computational) strategies in differential equations and transform theory.