Calculus for Chemistry
The course starts with refreshing and improving basic mathematical skills. Then real functions of one real variable are treated: standard and composed functions, models, limits, derivatives, extrema, Taylor expansions, integration (applications and techniques). Subsequently complex numbers are introduced. Finally, differential equations are solved to describe processes in physics, economy, medical sciences, etc. This topic includes: initial value problems, directional fields, equilibrium and stability, separation of variables, variation of constants, homogeneous and inhomogeneous systems, Euler's method, conversion of complex solutions into real-valued solutions. The material is illustrated through examples that focus on the applications of mathematical techniques.
- Calculus: Early Transcendentals, James Stewart, 7th edition, Brooks/Cole, 2012.