Applied Mathematics

Activities theoretical (Lecture)? Pratical (Exercises – mathematical and computacional implementation) and Lab(Laboratory work, programming in Matlab)
Progress assessment ­ There are two options:
First option: A midterm exam and/or a final written exam worth 100% of the final grade.
Second option: Continuous evaluation ­
A midterm exam and/or a final written exam worth 70% of the final grade­
Theoretical­ Practical activities (programming of mathematical methods) worth 30% of the final grade
For purposes of calculating the final grade, weighted average of the tests and works, the student must have a minimum score of 6.5 (out of 20) on the exam.
Students receiving a grade higher than 18 (on a grading scale of 1 to 20) are required to do an extra written and/or oral test. If students choose not to do this extra test, the final grade will remain 18.

The main aims of this course unit area to teach students:
The important role of mathematics as a fundamental basis within the engineering fields?
The use and application of mathematics software, such as, Maple and Matlab?
The use of mathematics as an auxiliary tool for analytical computational matter.
At the end of this course unit is the learner is expected to be able: To develop skills of abstract, demonstration , algorithms
Concerning programmed matter and other matters related to the topics covered in this study plan – Differential Equations, Laplace Transforms, Fourier Analysis and Numerical Methods for Differential Equations.

Ordinary Differential Equations: First­ order differential equations? Linear differential equations of second and higher order? Systems off differential equations? Initial problems in differential equations?
Laplace Transforms.
Fourier Analysis and Partial Differential Equations: Fourier Series, Integrals and Transforms?
Introduction to Partial Differential Equations? Boundary problems.
Numerical Methods: Numerical Methods in General? Numerical Methds for Differential Equations. Methods for First­ Order Differential Equations and Systems and Higher Order Equations. Numerical Methods for Partial Differential Equations? Finite Difference Methods.
Programing in Matlab.

NAO