This collection of excerpts originates from a textbook titled “Applied Mathematics for Business and Economics,” published by Norton University in 2010. The course serves as lessons, covering fundamental mathematical concepts and their applications in economic and business contexts. Key chapters include an examination of functions, covering definitions, graphing, and functional models such as profit and break-even analysis. Furthermore, the material explores differentiation, including derivatives, marginal analysis in economics, and the chain rule, alongside an introduction to functions of two variables, partial derivatives, constrained optimisation using Lagrange multipliers, and linear programming for solving optimisation problems.