Dublin City University

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 1st-year module, Linear Maths II. The course built on a previous module, Linear Maths IIand furthered students' knowledge on Linear Maths and Algebra. The course covered the topics: Matrices, Determinants, Eigenvalues & Eigenvectors, Complex Numbers, Vector Spaces, Vector Subspaces, Linear Independence, Diagonalisation, Projections & Orthogonality. These notes are ideal for anyone st...

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 2nd-year module, Statistics II.. The course built on a previous module, Statistics II, exploring statistics at an intermediate to advanced level. The course covered the topics: Confidence Intervals, Hypothesis Testing, Two-sample Hypothesis Testing, Chi-Squared Goodness of Fit Test, Chi-squared test of Independence, Correlation, Linear Regression, Analysis of Variance, Multiple Line...

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 2nd-year module, Introduction to Differential Equations.. The course was an introduction to ordinary differential equations.. The course covered the topics: First Order ODEs, Separable Equations, Order 1 Linear Equations, Picard-Lindelof Theorem, Order 1 Linear Systems and Euler Method. These notes are ideal for anyone starting to study differential equations. The notes themselves are...

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 2nd-year module, Probability II.. The course vuilt on a previous probability module, exploring probability at an intermediate level. The course covered the topics: Joint Distributions, Independence, Conditional Distributions, Expectation,Variance, Covariance, Moment Generating Functions, Multivariate Distributions, Random Walks, Sequences of Random Variables & Central Limit Theorem. T...

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 1st-year module, Sequences & Series.. The course explored the area of sequnces & series at an intermediate to advanced level.. The course covered the topics: Sets & Number Systems, Sequences, Limits of Convergent Sequences, Boundedness, Series and Series tests. These notes are ideal for anyone studying general maths.. The notes themselves are not a "copy and paste of the course conte...

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 2nd-year module, Accounting I.. The course was an intorduction to management & financial accounting. The course covered the topics: Financial vs Management Acounting, Income Statements, Balance Sheets, Sole Trader Accounts, Limited Company Accounts, Published Accounts, Cash Flow Statements and Ratio Analysis. These notes are ideal for anyone starting to study accounting. The notes the...

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 3rd-year module, Stochastic Modelling.. The course built on a previous modules on Probability. The course covered the topics: Stochastic Processes, Time-Homogeneity, Markov Chains, Transition Matrices, Random Walks, Stationary Distributions, Probability States, Classes, Periods, Markov Jump Processes, Kolmogorov Equations, Jump & Holding Times. This document contains questions of 8 tu...

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 3rd-year module, Stochastic Modelling.. The course built on a previous modules on Probability. The course covered the topics: Stochastic Processes, Time-Homogeneity, Markov Chains, Transition Matrices, Random Walks, Stationary Distributions, Probability States, Classes, Periods, Markov Jump Processes, Kolmogorov Equations, Jump & Holding Times.. These notes are ideal for anyone studyi...

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 3rd-year module, Partial Differential Equations. The course built on a previous module, Ordinary Differential Equations and expanded student's knowledge of Differential Equations. The course covered the topics: Types of PDEs, Cauchy Problems & Characteristics; Wave Equation; Canonical Forms of First & Second Order Equations; Hyperbolic, Parabolic & Eliptic PDEs; Quasi-Linear Equation...

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 3rd-year module, Financial Mathematics. The course built on previous modules to explore this area further and covered the topics: Investment types, Cashflow Models, Time Value of Money, Interest Rates, Discount Rates, Accumulations, Annuities, Equations of Value, Loan Schedules. Project Appraisals & Rate of Returns, Compound Interest & Fixed Interest Securities, Arbitrage & Forward Co...