London School of Economics (LSE)

These are the detailed notes that cover all of the examinable content for MA107, at which is usually tested. Back then, I had to study the course from scratch within 2 weeks, and achieved a first-class grade by using this set of notes. It is designed to be concise yet comprehensive, allowing you to focus on revising the key mathematical formulas and underlying step-by-step answering structure, thus acing your exams easily.

Comprehensive 109-page revision guide for LSE MA222 (Linear Algebra), covering all 10 weeks of the course: vector spaces, linear independence, bases, the Wronskian, linear transformations, change of basis, similarity, eigenvalues, real and complex inner products, Gram-Schmidt, orthogonal and unitary matrices, the spectral theorem, Jordan Normal Form, differential and difference equations, direct sums, projections, least squares, generalised inverses, and Fourier approximation. Each week includes...

1500-word UK constitutional law essay which received a first. Critically assesses whether recent judicial approaches to parliamentary supremacy indicate a new constitutional settlement or a refinement of orthodox Diceyan sovereignty. Uses Laws LJ’s constitutional statutes doctrine in Thoburn and judicial dicta in Jackson (including Lord Hope and Baroness Hale) to evaluate claims that parliamentary sovereignty is being qualified by the rule of law or common law constitutionalism. Argues that th...

Concise UK Criminal Law revision notes on the core non-consensual offences under the Sexual Offences Act 2003 (rape, assault by penetration, sexual assault, and causing a person to engage in sexual activity). Covers actus reus and mens rea for ss.1–4, the statutory consent framework (s.74) and the evidential and conclusive presumptions (ss.75–76), including how “reasonable belief” operates. Includes key case law and focused points on deception and situations that may vitiate consent. Sui...

The course addresses the theory and practice of financial reporting from a financial statement users’ perspective. Accounting practices are examined with an emphasis on understanding the impact accounting discretion could have on the informativeness and usefulness of financial information Within the overall course objectives, the intended learning outcomes are that at the end of the course students should have acquired an understanding of key aspects of advanced financial accounting topics;...

CONDENSED 4-PAGE EXAM FORMULA SHEET for ST226 (LSE Mathematics for Finance & Investment) - Everything you need on exam day! This is the ULTIMATE quick-reference guide containing all high-yield formulas, relationships, and exam strategies for ST226. Designed to be printed and used during exam revision or as a final check before entering the exam hall. WHAT'S INCLUDED: Chapter 1: Time Value of Money - All interest rate conversions (i, d, δ, v) Chapter 2: Annuities Certain - Complet...

ST226 LSE Complete Exam Mastery Guide - Weeks 1-11 FULL COURSE (Mathematics for Finance & Investment) - 228 Pages COMPREHENSIVE COVERAGE OF ENTIRE ST226 COURSE (excluding R component) This is the complete actuarial mathematics exam preparation guide covering all 11 weeks of LSE's ST226 Mathematics for Finance and Investment. Each week includes: detailed theory explanations, exam-optimized formula sheets, fully worked past paper questions with step-by-step solutions, common mistakes sect...

MA221 Complete Guide: Weeks 2-10 Combined Document Overview: Total Pages: 166 pages Coverage: 9 complete weeks (Weeks 2-10) Format: Professional LaTeX-compiled PDF with color-coded theorem boxes File Size: 4.1 MB Creation Date: January 18, 2026 Content Structure: Core theory with intuitive explanations Rigorous ε-δ definitions Complete formula sheets 6 exam-style questions with full solutions 6 common examiner traps One-page cheat sheet Complete Week-by-Week Breakdown: ...

This course builds upon the foundations of Microeconomics I (EC1A5) and challenges you to apply microeconomic analysis to tackle real-world economic challenges and policy debates. You will develop the ability to deconstruct complex scenarios, identifying the core economic mechanisms at play and how they can guide public policy. The use of mathematics is limited (in particular, with no calculus), but a strong emphasis is placed on cultivating robust graphical analysis skills and a solid intuition...

The course examines the theory of financial decision-making by firms and examines the behaviour of the capital markets in which these decisions are taken. The topics covered are the theory of capital budgeting under certainty in perfect and imperfect capital markets, sources of funds, basic theory of capital structure and the cost of capital, company dividend decisions and financial markets and institutions. This course covers the same topics as FM215. Thus, both FM211 and FM215 are equivalen...