Module Handbook-Mathematics-Universitas Brawijaya
Module Handbook
Module Name: Introduction to Waves Modelling
Module Level: Bachelor
Abbreviation, if Applicable: MAM61308 Sub-Heading, if Applicable: -
Courses included in the module, if applicable
Introduction to Waves Modelling Semester/term: 5th / third years
Module Coordinator(s): Chair of the Lab. Applied Analysis and Numerical Computation Lectures(s) Prof. Dr. Agus Suryanto
Language Bahasa Indonesia
Classification within the curriculum
Elective Course Teaching format / class
hours per week during semester:
100 minutes lectures per week.
Workload: Total workload is 3 ECTS, which consists of 1.67 hours lectures, 2 hours structured activities, 2 hours independent learning, 16 week per semester, and a total 90.67 hours per semester including mid exam and final exam.
Credit Points: 2
Requirements according to the examination
regulations:
Students have attendance at least 80% Introduction to Waves Modelling class and registered as examinees in the academic information system
Recommended prerequisites
Students have taken Partial Differential Equations course (MAM62302), and have participated in the final examination of the course.
Module objectives/intended learning outcomes
After completing this course the student should have
1. ability to understand, implement and explain the physical significance of the concepts of linear waves (translation wave solution, D’Alembert solution, mono-chromatic modes, dispersion relation, phase velocity, group velocity, dissipation and dispersion)
2. ability to understand, apply and interpret the basic concepts of nonlinearity and its combination with dissipation, dispersion or diffraction (traveling wave solutions of Burger’s equation, Kortegweg de Vries (KdV) equation and Nonlinear Schrodinger (NLS) equation, shallow water equation, conservation laws)
3. ability to write an essay on waves modeling and give seminar/ presentation in the class.
Content: Topics:
1. Basic concepts of linear waves (translation wave solution, D’Alembert solution, mono-chromatic modes, dispersion
Module Handbook-Mathematics-Universitas Brawijaya relation, phase velocity, group velocity, dissipation and dispersion).
2. Basic concepts of nonlinear waves: breaking waves, traveling wave solutions of Burger’s equation and KdV equation, conservations laws.
3. NLS equation: derivation, modulation instability, one soliton solution, scaling transformation, conserved quantities.
4. Shallow water equation: derivation and linearization.
Soft Skill Attribute Discipline, honesty, cooperation and communication Study / exam
achievements:
The final mark will be weighted as follows:
No.Assessment methods (component, activities). Weight 1. Homework 15 % 2. Quiz 15 % 3. Mid examination 30 % 4. Paper (essay writing and seminar/presentation) 40 % Final grades is defined as follow:
A : 80 < Final Mark ≤ 100 B+ : 75 < Final Mark ≤ 80 B : 69 < Final Mark ≤ 75 C+ : 60 < Final Mark ≤ 69 C : 55 < Final Mark ≤ 60 D+ : 50 < Final Mark ≤ 55 D : 44 < Final Mark ≤ 50 E : 0 ≤ Final Mark ≤ 44
Forms of Media White/Black Board, LCD Projector, Laptop/Computer, Mathematical Software (e.g. Maple and MATLAB) Learning Methods Lecture, Discussion, Seminar/Presentation
Literature 1. Van Groesen, E. dan Van de Fliert, B., 2000, Advanced Modelling in Science, Lecture Note, University of Twente.
1. Dingemans, M.W., 1997, Water Wave Propagation over Uneven Bottoms, World Scientic, Singapore.
Notes:
