Calculus (1)

• Mathematics
• Calculus

Calculus was independently founded by Issac Newton and Gottfried Leibniz to describe and study the change of functions with respect to their variables. This subject had found applications (and also become fundamental) in physics, chemistry, engineering etc. In the first module of this serial of courses in Calculus (MATH4006-4009), we will introduce differentiation of functions in one (real) variable. To be specific, we will define the derivative of a function, derive basic rules and techniques of differentiation, analyse extrema of a function, discuss the statement and applications of the Mean Value Theorem(s) and sketch the graph of a function. Key definitions are discussed and some important theorems are derived in the lectures with a view to help students to develop their abilities to conduct logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote an organic interaction between the theory of Calculus and students' own fields of study.