Multivariable Calculus (Architecture)

Module Title Multivariable Calculus (Architecture)
Module Level Level 0
Module Credits 5.00
Semester SEM2

Aims and Fit of Module

To give students an education in calculus of multivariable functions, differential equation and geometry in space and vectors, which includes the basic topics usually covered in an elementary course of multivariable calculus.
To give students an appreciation of the application of mathematics to architecture.
To introduce the concept of modelling and various mathematical models in practical problems.

Learning outcomes

A Demonstrate an understanding of the concepts of derivative and integral of functions with multiple variables;
B Demonstrate an understanding of vector, line, plane and surface in three space and their equations;
C Calculate the derivative and integral of different functions with multiple variables;
D Apply their knowledge of differentiation to determine critical features of functions including extreme values;
E Apply their knowledge of multiple integration, including calculating the volume of solids;
F Understand the mathematical models for simple practical problems.

Method of teaching and learning

Students are expected to attend 3 hours of formal lectures and 1 hour of tutorial in a typical week. In lectures, teachers will introduce the academic content and practical skills which are the subject of the module. In tutorials, students are able to practice to grasp those skills.
In addition to formal lectures and tutorials, students are expected to devote unsupervised time to study lecture materials and background readings. Online resources will be provided to students to promote their active learning. Continuous assessment including online home assignments will be used to assess the learning outcomes. Written examinations in the middle and at the end of the semester constitutes the major part of the assessment of the academic achievement of students.