Calculus is a cornerstone of analytical thinking and quantitative reasoning, playing a vital role in the natural sciences, social sciences,life sciences, business, and engineering. This course provides an accessible and rigorous introduction to the fundamental ideas ofcalculus, focusing on concepts essential for modeling, analysis, and decision-making in a wide range of fields.

The course emphasizes the differentiation and integration of functions of one variable, along with their real-world applications. Topicsinclude: 

• Functions, 

• Limits, and Continuity 

• Rules of Differentiation and Their Use in Graphing, 

• Rate of Change, 

• Approximation, and Optimization 

• Applications to Business, Biology, Economics and Social Sciences 

• The Concept and Applications of Definite and Indefinite Integrals 

• The Fundamental Theorem of Calculus 

• Techniques of Integration 

• Applications of Integration in Business, Biology, Economics, and Social Sciences 

• Approximation of Definite Integrals and Evaluation of Improper Integrals 

• L’Hôpital’s Rule and Its Use in Indeterminate Forms

This course is designed to build a solid conceptual foundation and empower students to apply mathematical reasoning in their respective domains of study.