Mathematics II (Bologna) STATS3023
- Academic Session: 2021-22
- School: School of Mathematics and Statistics
- Credits: 12
- Level: Level 3 (SCQF level 9)
- Typically Offered: Semester 1
- Available to Visiting Students: No
- Available to Erasmus Students: No
The course provides the basics of the mathematical analysis of multivariable functions.
Timetable information is available from the University of Bologna.
Requirements of Entry
This course is only available to students on the Double Degree programme in Statistics with the University of Bologna.
60-minute end-of-course examination, carried out in accordance with the assessment procedures and regulations of the University of Bologna.
Main Assessment In: December
Are reassessment opportunities available for all summative assessments? Not applicable for Honours courses
Reassessments are normally available for all courses, except those which contribute to the Honours classification. For non-Honours courses, students are offered reassessment in all or any of the components of assessment if the satisfactory (threshold) grade for the overall course is not achieved at the first attempt. This is normally grade D3 for undergraduate students and grade C3 for postgraduate students. Exceptionally it may not be possible to offer reassessment of some coursework items, in which case the mark achieved at the first attempt will be counted towards the final course grade. Any such exceptions for this course are described below.
This course aims
■ to introduce students to multivariable calculus;
■ to train students in differential calculus and multidimensional integration;
■ to illustrate how derivatives can be used to identify extrema of functions of more than one variable; and
■ to introduce students to constrained optimisation using Lagrange multipliers.
Intended Learning Outcomes of Course
By the end of the course students will be able to:
■ perform multivariable differential calculus and compute partial derivatives;
■ identify maxima and minima for functions of several variables;
■ perform constrained optimization: method of Lagrange multipliers; and
■ compute multiple integrals.
Minimum Requirement for Award of Credits
Students must submit at least 75% by weight of the components (including examinations) of the course's summative assessment.