Program Overview

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University Program Information

The university offers a wide range of programs, including short and online courses, undergraduate, postgraduate, professional, and research programs.

Subject Areas

• Archaeology and anthropology
  • Archaeology
  • Certificate of Higher Education
  • English Literature
  • History
  • History of Art
  • Theological Studies
• Architectural history
• Business and management
• Data science, computing, maths
• Diplomatic studies and law
• Economics and politics
• Education and study skills
• Environment and sustainability
• History of art
• History, including local and social
• Languages and cultural studies
• Literature, creative writing and film studies
• Medical and health sciences
• Music
• Natural sciences
• Philosophy
• Psychology and counselling
• Religion and theology
• Technology and AI

Course Format

• Day and weekend events
• In-person learning
• Lecture series
• Online learning
• Professional
• Summer schools
• Weekly learning

Undergraduate Programs

Certificates

• Archaeology
• Certificate of Higher Education
• English Literature
• History
• History of Art
• Theological Studies

Diplomas

• Archaeology
• Creative Writing
• English Social and Local History
• History of Art

Advanced Diplomas

• British Archaeology
• IT Systems Analysis and Design (Online)
• Local History (Online)

Pre-Master's

• Advanced Pre-sessional Course for Graduate Students (nine weeks, full-time)
• Foundations of Diplomacy Pre-Master's Course (six months, full-time)

Postgraduate Programs

Certificates

• Architectural History
• Cognitive Behavioural Therapy
• Ecological Survey Techniques
• Enhanced Cognitive Behavioural Therapy
• Health Research
• Historical Studies
• Nanotechnology
• Patient Safety and Quality Improvement
• Psychodynamic Counselling
• Qualitative Health Research Methods
• Teaching Evidence-Based Health Care

Diplomas

• Cognitive Behavioural Therapy
• Cognitive Behavioural Therapy Severe Mental Health Problems
• Health Research
• International Wildlife Conservation Practice
• Psychodynamic Practice

Master of Studies (MSt)

• Creative Writing
• Diplomatic Studies
• Historical Studies
• History of Design
• Literature and Arts
• Mindfulness-Based Cognitive Therapy
• Practical Ethics
• Psychodynamic Practice

Research Degrees (DPhil)

• Archaeology
• Architectural History
• Cognitive Behavioural Therapy
• English Local History
• Evidence-Based Health Care
• Literature and Arts
• Sustainable Urban Development

Master of Science (MSc)

• Applied Landscape Archaeology
• Cognitive Behavioural Therapy
• English Local History
• Evidence-Based Health Care
• Evidence-Based Health Care Medical Statistics
• Evidence-Based Health Care Systematic Reviews
• Evidence-Based Health Care Teaching and Education
• Experimental and Translational Therapeutics
• Nanotechnology for Medicine and Health Care
• Surgical Science and Practice
• Sustainable Urban Development
• Translational Health Sciences

Professional Programs

• Business and management
• Cultural heritage
• Data science, computing, maths
• Diplomatic studies
• Education
• Environment and sustainability
• Medical and health sciences
• Nanotechnology and nanomedicine
• Philosophy and ethics
• Psychology and counselling
• Research methods and skills
• Technology and AI

Research

The university has an active interdisciplinary research community, with a strong focus on the humanities and social sciences.

• Academic staff profiles
• Part-time DPhil programmes
• Research areas
• Research students
• Research forums
  • Artificial Intelligence (AI) Steering Group
  • Lifelong Learning Pedagogies forum
  • Research Ethics Colloquium
  • The Vice-Chancellors Colloquium

Linear Algebra: Introduction Course

Course Details

• Code: O25P816MAZ
• Credit: 10 CATS points
• Fees: Ł360.00
• Dates: Fri 16 Jan 2026 - Fri 27 Mar 2026
• Time: 7:00-8:00pm (UK)
• Location: Online (Live)

Course Overview

Linear algebra is the most central and fundamental part of mathematics. The course begins by showing how any system of linear equations can be solved and by describing the set of all its solutions.

Programme Details

• Week 1: Solving linear equations: Gaussian Elimination
• Week 2: Matrix algebra
• Week 3: Vector spaces
• Week 4: LU Decomposition and related algorithms
• Week 5: Numerical solution to systems of equations: Gauss-Jacobi and Gauss-Seidel techniques with possible coding
• Week 6: Determinants, Cramer's rule
• Week 7: Eigenvalues and Eigenvectors with applications
• Week 8: Applications of matrices to Computing and other disciplines
• Week 9: Solution to ODEs using a matrix approach
• Week 10: Symmetric, Skew-Symmetric, and Orthogonal Matrices, Eigenbases, Diagonalization, Quadratic Forms

Certification

• Credit Application Transfer Scheme (CATS) points
• Digital credentials: All students who pass their final assignment will be eligible for a digital Certificate of Completion

Fees and Funding

• Course Fee: Ł360.00
• Funding: Concessionary fees for short courses are available for those in receipt of a UK state benefit, full-time students in the UK, or students on a low income

Tutor

• Dr Niccolň Salvatori: Completed a Ph.D. in Pure Mathematics at KCL in 2017 and has been teaching for the Department of Mathematics at LSE since 2016

Course Aims

• Comfort with the language and notations of linear algebra
• Comprehensive understanding of linear equations and their solutions
• Mastery of basic matrix algebra
• Knowledge of vector space basics: linear combinations, spanning, bases
• Ability to find the matrix which represents a given linear transformation with respect to a given basis

Teaching Methods

• The course takes place over 10 weeks, with a weekly learning schedule and weekly live webinar held on Microsoft Teams
• Students are provided with access to an online virtual learning environment, which houses the course content, including video lectures, complemented by readings or other study materials

Learning Outcomes

• By the end of the course, students will be expected to know how to solve linear equations in unknowns and what the set of all solutions 'looks' like
• Be skilled at matrix arithmetic
• Be able to work out non-exotic examples and invoke appropriately, the standard theorems of basic linear algebra

Assessment Methods

• You will be set independent formative and summative work for this course
• Formative work will be submitted for informal assessment and feedback from your tutor, but has no impact on your final grade
• The summative work will be formally assessed as pass or fail

Level and Demands

• Although this course is far more substantial than the first course in algebra taught in schools, school algebra is an adequate prerequisite
• Attending this course, prospective students should know how to graph = 3 - 2 and how to add, subtract, and multiply polynomials
• This course is offered at FHEQ Level 4 (i.e., first year undergraduate level), and you will be expected to engage in independent study in preparation for your assignments and for the weekly webinar

English Language Requirements

• We do not insist that applicants hold an English language certification, but warn that they may be at a disadvantage if their language skills are not of a comparable level to those qualifications listed on our website

IT Requirements

• Any standard web browser can be used to access course materials on our virtual learning environment, but we recommend Google Chrome
• We also recommend that students join the live webinars on Microsoft Teams using a laptop or desktop computer rather than a phone or tablet due to the limited functionality of the app on these devices