- Calculus is the mathematical study of continuous change. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves). Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis.
- 2.5-hour sessions, 13 weeks.
- Text: Thomas Calculus.
Syllabus Week Topic
2nd Limits and Continuity
4th Applications of Derivatives
6th Applications of Definite Integrals
7th Integrals and Transcendental Functions
8th Techniques of Integration
9th First-Order Differential Equations
10th Infinite Sequences and Series
11th Parametric Equation and Polar Coordinates
12th Vectors and the Geometry of Space
13th Vector-Valued Functions and Motion in Space