Module Handbook-Mathematics-Universitas Brawijaya
Module Handbook
Module Name: Difference Equations
Module Level: Bachelor
Abbreviation, if Applicable: MAM61303 Sub-Heading, if Applicable: -
Courses included in the module, if applicable
Difference Equations Semester/term: 3th / second years
Module Coordinator(s): Chair of the Lab. Applied Analysis and Numerical Computation
Lectures(s) Dr. Isnani Darti, M.Si.
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% on Difference
Equations class and registered as examinees in the academic information system
Recommended prerequisites
Students have taken Calculus I course (MAM61201), Elementary Linear Algebra course (MAM61102) and have participated in the final examination of the course.
Learning goals / competencies or
Module objectives/intended learning outcomes
After completing this course the student should have
CLO 1 : ability to understand and apply the concept of calculus of finite differences
CLO 2 : ability to understand and implement the fundamental solutions of higher order linear difference equations CLO 3 : ability to understand and implement the method of
undetermined coefficient and variation of parameters to solve the higher order linear difference equations CLO 4 : ability to understand the basic concepts of nonlinear
difference equations
CLO 5 : ability to understand and implement the Z-transform to solve the high order linear difference equations
Module Handbook-Mathematics-Universitas Brawijaya
Content: Topics:
1. Calculus of finite differences.
2. Higher order linear difference equations: fundamental solutions, homogeneous linear equations, method of udetemined coefficient, method of variation of parameters.
3. Nonlinear difference equations: Nonlinear equations traformable to linear equations, limiting behaviour of solutions
4. Z-Transform: Definition and properties of Z-transform, inverse Z-transform, applications of Z-transform to solve higher order linear difference equations.
5. Applications of difference equations
Attribut Soft Skill Discipline, honesty, cooperation and communication Study / exam
achevements:
The final mark will be weighted as follows:
No. Assessment methods (component, activities). Weight
1. Homework 15 %
2. Quiz 20 %
3. Tutorial 15 %
4. Mid examination 25 %
5. Final examination 25 %
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 Learning Methods Lecture, Discussion, Presentation
Literature 1. Elaydi, S., 2005, An Introduction to Difference Equation, 3rd Ed., Springer, New York, USA.
2. Kelley, W.G. and Peterson, A.C. 2001, Difference Equations: An Introduction with Applications, 2nd Ed., Academic Press, London.
Notes:
