Dr. Lynda MEZGHICHE
Biography of instructor/Dr. Lynda MEZGHICHE
This course deliberately centers largely on differential equations. It aims to provide students with not only a mastery of certain mathematical tools required for specific chemistry, physics modules in their curriculum such as vibrations and waves, thermodynamics, and chemical kinetics but also a form of general scientific culture and an open mind regarding the interaction between different sciences. In reality, mechanics, dynamics, electricity, biology, physical chemistry, economics, probability theory, and many other fields present situations whose analysis leads to a differential equation: an equation expressing a relationship between a function and its successive derivatives. Differential equations are used to construct effective mathematical models that describe dynamic phenomena across the applied sciences. They represent a vast area of study within mathematics. Scientists endeavor to describe the world around us through these mathematical equations. Our goal is to be able to predict the behavior of phenomena, rather than merely observe them.
To succeed in this course, students should have a solid grasp of single-variable calculus (derivatives, integrals, limits, and transcendental functions), basic multivariable calculus (partial derivatives), and elementary linear algebra (matrices, vectors, eigenvalues). Familiarity with complex numbers and basic mathematical proof techniques is also expected. Prior exposure to scientific programming (e.g., Python or MATLAB) is helpful but not required.
Biography of instructor/Dr. Lynda MEZGHICHE
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