Module code: ECS408U
Credits: 15
Semester: SEM1
The aim of this module is to teach you five core mathematics subjects:
- Complex numbers: algebraic, polar, Argand, and exponential forms, de Moivre's theorem, computing roots of powers of complex numbers, example applications to engineering.
- Vectors: algebraic and cartesian forms, operations on vectors, geometric forms of some of the operations, example applications to engineering.
- Series and Limits: basic definitions of sequences and their converging values, arithmetic and geometric series, Taylor and MacLaurin series, methods for computing convergence/divergence of series and their limit, if defined.
- Continuous Functions: functions, properties of functions, injectivity, subjectivity, monotonicity, boundedness, continuity, types of discontinuity.
- Differentiation: the basic concept behind and definition of limits and derivatives, limits and derivatives of basic functions, rules for computing limits and derivatives from basis functions.
All topics will be related to engineering applications and by the end of the module, you will be able to define the main mathematical concepts in the course.
Level: 4
