MATH 1203: Calculus I

Course Description

This course covers the fundamentals of differential and integral calculus, with an emphasis on functions, limits, derivatives, and integrals, as well as their real-world applications. Students will learn problem-solving abilities by studying continuity, rates of change, optimization, and the computation of areas and volumes using integration methods.

Course Objectives

By the end of this course, students will be able to:

1. Analyze functions by graphical, numerical, algebraic, and verbal approaches.
2. Determine the role of limits in determining continuity and derivatives.
3. Apply common derivative principles to solve real-world situations.
4. Use differential calculus for optimization, related rates, and curve drawing.
5. Apply the Fundamental Theorem of Calculus.
6. Compute definite and indefinite integrals to address physical and geometrical problems.

Required Materials

1. Stewart, James. Calculus: Early Transcendentals, 9th Edition. Cengage Learning, 2020.
2. Thomas, George B., Weir, Maurice D., and Hass, Joel. Thomas’ Calculus, 14th Edition. Pearson, 2017.

• Scientific calculator.
• Graphing software/tools like GeoGebra, Desmos, or MATLAB/Excel for visualization.
• Lecture notes, problem sets, and handouts provided by the instructor.