In this module, you will build a strong foundation in key mathematical techniques essential for engineering and scientific applications. You will explore advanced calculus, including implicit and parametric differentiation, hyperbolic functions, and integration methods, with a focus on real-world engineering problems. You will also learn how to solve ordinary differential equations, work with probability and the normal distribution, and apply series expansions such as Binomial, Maclaurin, and Taylor series to approximate complex functions. Additionally, you will develop your understanding of matrices and determinants, including solving systems of equations and applying these concepts in practical contexts. Throughout the module, you will strengthen your problem-solving, analytical, and computational skills, all of which are vital for tackling complex challenges in various fields of study.