This module introduces the fundamental concepts of linear functions and their applications in finance and business. Students will learn about the geometric presentation of linear equations, linear interpolation techniques, and the concept of slope. The module also covers first order difference equations and provides an introduction to simulation methods. Through practical examples, students will understand how linear functions can model business relationships and financial trends, establishing the foundation for more complex mathematical modeling.

This module explores linear algebra concepts and their applications in finance and business contexts. Students will learn techniques for solving simultaneous equations, and develop understanding of vectors and matrices with their geometric representations. The module covers matrix operations, characterization of solution numbers in systems, and the concept of linear transformation. These tools enable students to analyze complex financial and business systems involving multiple variables and constraints, providing a foundation for portfolio optimization and financial modeling.

This module examines nonlinear functions and their importance in financial and business modeling. Students will study polynomials and root determination techniques, as well as the concepts of concavity and convexity in functions. The module also covers exponential and logarithmic equations, which are particularly relevant for modeling growth, decay, and compounding processes in finance. Through practical applications, students will learn how these nonlinear relationships can more accurately represent many real-world business and financial phenomena.

This module introduces key concepts of calculus and their applications in business and finance. Students will learn about limits and derivation rules, with particular focus on interpreting derivatives as measures of sensitivity or rates of change. The module covers approaches to nonlinear functions through Taylor series expansions, and explores nonlinear optimization techniques and first-order conditions. These mathematical tools enable students to analyze marginal changes, elasticity, and optimization problems that are central to financial analysis and business decision-making.

This module focuses on the practical application of mathematical principles to financial problems. Students will learn about yield and discount rates, geometric series, and formulas for calculating present value. The module also covers the calculation of perpetuities, annuities, and the internal rate of return (IRR) of bonds. Through these concepts, students will develop the quantitative skills necessary for financial analysis, investment evaluation, and understanding time value of money principles that are essential for informed business and financial decision-making.