This course consists of four chapters: methods of integration, L'Hospital's rule and improper integral, functions of two and three variables and ordinary differential equations. In the first chapter, integration methods discussed are integration by parts, trigonometric integrals, trigonometric substitutions and integration of rational functions. Chapter two discussed the limit of indeterminate form and improper integral. In the third chapter, students will be introduced to partial derivatives and its applications in engineering and sciences. Topics on methods of solving first and second order differential equations with its applications will be discussed in the last chapter.