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This course will introduce and delve into the following maths concepts
Basic algebra and trigonometry
This course develops the foundational mathematics skills and language set that underpin analytical sciences. This will include the transposition and manipulation of algebraic expressions, the notion of functions and the basics of trigonometry
Basic calculus
We will define the derivative, how one quantity can change with respect to another, and learn how to compute these. We will also encounter the integral, related to areas and averages, and tackle computations involving these
Complex numbers
This course introduces complex numbers, important in electrical engineering and beyond, and teaches students about their property, their algebra and how these numbers can be understood geometrically.
Further Calculus
Further into the course, we will build upon our understanding of calculus with more advanced methods, introducing partial differentiation for functions of multiple variables, as well as more advanced integral techniques to simplify complex problems.
Matrices and Vectors
A fundamental aspect of modern computing, we will define what vectors and matrices are and how one can undertake computations involving these and their special properties. We will demonstrate how large systems of equations can be formulated as matrix-vector problems, making them far easier to solve.
Differential Equations
A cornerstone of modern physics, we will learn how to identify and solve differential equations by several techniques. We will also encounter the wave equation, which underpins a great number of applications, and learn methods as to how it can be solved and understood.