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Durham University

Postgraduate Module Handbook 2022/2023

Archive Module Description

This page is for the academic year 2021-22. The current handbook year is 2022-23

Department: Mathematical Sciences

MATH42615: Introduction to Mathematics for Data Science

Type Tied Level 4 Credits 15 Availability Available in 2021/22
Tied to G5K823 Data Science
Tied to G5K923 Data Science (Digital Humanities)

Prerequisites

  • None

Corequisites

  • None

Excluded Combination of Modules

  • None

Aims

  • To introduce the mathematical principles that underpin contemporary Data Science

Content

  • Review of basic mathematical principles: functions, graphs, and notation.
  • Overview of calculus: limits, differentiation, integration, numerical computation
  • Introduction to Probability: independent events, conditional probability, expectation, probability distributions, computing probabilities
  • Introduction to Linear Algebra: linear systems, matrices, vector spaces, geometric transformations, eigenvalues and eigenvectors

Learning Outcomes

Subject-specific Knowledge:
  • By the end of the module students will have a knowledge and understanding of mathematical concepts in the following areas:
  • Commonly-used functions, their properties and features
  • Basic concepts and techniques of differential and integral calculus
  • Fundamental concepts of probability
  • Basic concepts of linear algebra, their geometric interpretations, and applications to the analysis of linear systems
Subject-specific Skills:
  • Graphical representation of functions
  • Use of calculus techniques for the analysis of functions, including basic optimisation.
  • Understanding of likelihood and calculation of probabilities.
  • Ability to visualise and understand the representation and transformation of data using linear algebra
Key Skills:
  • Sufficient mastery of mathematical concepts to enable engagement with introductory statistics and data science.

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

  • This module will be delivered by the Department of Mathematical Sciences.
  • Lectures demonstrate what is required to be learned and the application of the theory to concrete examples.
  • Workshops describe theory and its application to concrete examples, enable students to test and develop their understanding of the material by applying it to practical problems, and provide feedback and encourage active engagement.
  • Surgeries give students the change to pose personalized questions on both theory and practice.
  • Online resources support learning and could include: video content, directed reading, reflection through activities, opportunities for self-assessment, and peer-to-peer learning within a tutor-facilitated discussion board.
  • Coursework will assess students' ability to implement theoretical concepts covered in the module.

Teaching Methods and Learning Hours

Activity Number Frequency Duration Total/Hours
Workshops (a combination of live lectures, computer practicals, problem classes, and tutorials) 8 2 times per week (Term 1, weeks 1-4) 2 hours 16
Lectures 8 2 times per week (Term 1, weeks 1-4) 2 hours 16
Surgeries 12 3 times per week (Term 1, weeks 1-4) 1 hour 12
Preparation, exercises, and reading 106
Total 150

Summative Assessment

Component: Coursework Component Weighting: 20%
Element Length / duration Element Weighting Resit Opportunity
Quizzes (e-assessments) 4 weeks 100%
Component: Assignment 1 Component Weighting: 10%
Element Length / duration Element Weighting Resit Opportunity
Assignment 100%
Component: Report Component Weighting: 20%
Element Length / duration Element Weighting Resit Opportunity
Report 100%
Component: Presentation Component Weighting: 10%
Element Length / duration Element Weighting Resit Opportunity
Presentation 100%
Component: Examination Component Weighting: 40%
Element Length / duration Element Weighting Resit Opportunity
Written Examination 100%

Formative Assessment:

None


Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University