Applied Mathematics
MP180: Applied Mathematics (15 ECTS)
This is an introductory course in Applied Mathematics. The material presented assumes no prior knowledge of applied mathematics or honours second level mathematics. The course is of value to any student interested in the direct use of mathematics in real-world applications. This course also prepares the learner for more advanced topics in later years such as advanced mechanics and mathematical methods, mathematical modelling, non-linear systems, elasticity, quantum mechanics, electromagnetism, fluid mechanics, cosmology and general relativity.
Taught in Semester(s) I+II. Examined in Semester(s) I+II.
Workload: 0 hours ().
Module Learning Outcomes.
On successful completion of this module the learner should be able to:
- use mathematical tools such as calculus and vectors to model simple mechanical and other real-world systems.
Specifically this includes:
- Solve problems in 1-dimensional kinematics relating position, velocity and acceleration.
- Apply vector methods to solve such problems in 2 or 3 dimensions and methods of differential and integral calculus.
- Apply Newton's laws to simple systems of forces
- Be able to apply momentum and energy methods in simple mechanical systems.
- Solve for motion of circular and simple harmonic systems.
- Apply calculus to mathematically model simple real- world systems
- Demonstrate an understanding of some more advanced topics such as rigid body motion, planetary motion and damped and forced simple harmonic motion.
Indicative Content
General Aims:
The aim of this module is to introduce the learner to the application of mathematics to our understanding of the real world. The course mainly covers topics in mechanics such as velocity and acceleration, Newton's laws, momentum and energy, harmonic motion, circular motion, rigid body motion and planetary motion. Some more general modelling problems are also discussed such as population modelling, Newton's law of cooling and radioactive decay. All the necessary mathematical tools required, especially differential and integral calculus and vector methods, are developed in the course.
Module Resources
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