The course aims to equip students with a comprehensive understanding of integration, promote logical reasoning, inspire creative thinking, enhance computational derivation, and emphasize applications and graphing. This is to establish a solid mathematical foundation for future studies in engineering mathematics and related professional courses, with a practical approach to learning. The course content includes: 1. Review of basic theorems in differentiation, 2. Indefinite and definite integrals, 3. Integral rules, 5. Improper integrals, 6. Applications of definite integrals, 7. Partial derivatives, 8. Vector calculus and spatial geometry in multivariable calculus.