CALCULUS I (4 CREDITS)

Learning Outcomes:

On successful completion of this course, students will be able to: LO1 – Define the properties of basic mathematics, including limits to describe geometric and physical problems and other applications.; LO2 – Explain the properties of derivative to describe geometric and physical problems, and other applications; LO3 – Analyze the properties of integral to describe geometric and physical problems, and other applications.; LO4 – Calculate the convergence of infinite series.

Topics:

1. Introduction to calculus;
2. Limit and Continuity;
3. Basic Derivative;
4. Advanced Derivative;
5. Indeterminate Forms;
6. Curve Sketching;
7. Optimization Problem;
8. Integral;
9. Techniques of Integration;
10. Area by Integral;
11. Volume by Integral;
12. Sequence and series;
13. Power series.