This course aims to equip students with a set of fundamental mathematical concepts underlying decision-making in economics and finance. It also aims to develop students' creativity and originality through various assessment tasks and teaching and learning. The lectures encourage students to develop their discovery ability through in-class discussions, which enhance students' understanding of mathematical concepts. Students are required to apply fundamental mathematical concepts to solve real world problems in designed scenarios. Only an accurate understanding of the underlying economic concepts can direct which mathematical tools can be applied to the situation. A final interpretation of the numerical solution with economic concepts shows the accomplishment of students' ability to discover and innovate.