Calculus (3)

分野 | 自然科学

Learning

Mathematics
Calculus

Having discussed Calculus on functions of a single (real) variable in MATH4006-7, this course turns to an introduction (and applications) of multivariable (mainly 2- and 3-variable) Calculus, which is the foundation for various disciplines in Science and Engineering. Topics to be discussed include :   - Partial derivatives,   - Continuous and differentiable functions in multivariables,   - Chain rule and directional derivatives,   - Second derivative test for two-variable functions and the method of Lagrange multipliers,   - Double and triple integrations.    Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' own fields of study.