1. Introduction The relationship between integration and differentiation is central to calculus, formalized through the fundamental theorem of calculus. Traditionally, integrals are taught as ...

Introduction to the Riemann integral and approximations. Antiderivatives and the fundamental theorem of calculus. Change of variables, methods of integration. Applications of the integral. Improper ...

This course is the sequel to MATH 1003. It will focus on integrals: definition and relation to the Fundamental Theorem of Calculus, techniques of integration, numerical integration and applications of ...

4.3 Natural Logarithm Function 4.4 Inverse Trigonometric Functions 4.5 Hyperbolic Functions Chapter 5 - Further Applications of the Derivative 5.1 Optimization 5.2 Differentials 5.3 L’Hospital’s Rule ...

Description of the course Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of ...