Module Handbook-Mathematics-Universitas Brawijaya
Module Handbook
Module Name: Ordinary Differential Equations
Module Level: Bachelor
Abbreviation, if Applicable: MAM61302 Sub-Heading, if Applicable: -
Courses included in the module, if applicable
Ordinary Differential Equations Semester/term: 3rd/2nd years
Module Coordinator(s): Chair of the Lab. Applied Analysis and Numerical Computation Lecturer(s) 1. Dra. Trisilowati, M.Sc., Ph.D.
2. Prof. Dr. Agus Suryanto, M.Sc.
3. Dr. Wuryansari Muharini Kusumawinahyu, M.Si.
Language Bahasa Indonesia
Classification within the
curriculum Compulsory Studies
Teaching format / class hours per week during semester:
200 minutes lectures per week.
Workload: Total workload is 6 ECTS, which consists of 3.33 hours lectures, 4 hours structured activities, 4 hours independent learning, 16 week per semester, and a total 181.33 hours per semester including mid exam and final exam.
Credit Points: 4
Requirements according to the examination
regulations:
The student has attended at least 80% of Partial Differential Equation classes and is registered as the examinee in the academic information system.
Recommended prerequisties
Students have taken Introduction to Calculus II (MAM 62201) and Elementary Linear Algebra (MAM 61102) courses and have participated in the final exam of the course.
Course learning outcomes (CLO)
After completing this course the student should have:
CLO1: ability to understand and apply the basic concept of differential equations
CLO2: ability to solve first order differential equations by using the appropriate methods
CLO3: ability to solve high order homogeneous and
nonhomogeneous linear ordinary differential equations with constant coefficient by using the appropriate methods CLO4: ability to solve initial value problems by using Laplace
transform
CLO5: ability to solve first order of homogeneous linear system of differential equations with coefficient constant
Content: Topics:
1. Initial value problem: basic concept, classification, general and particular solutions, geometry interpretation
2. First order differential equation: Separable equations, exact differential equations, integrating factors.
3. High order homogeneous and nonhomogeneous linear differential equation with coefficient constant: principle superposition, fundamental solution, characteristic equation
Module Handbook-Mathematics-Universitas Brawijaya (repeated eigenvalue, complex eigenvalue), Wronskian, method of undetermined coefficient, variation of parameters 4. Laplace transform: linear properties, inverse Laplace, step
function, solving initial value problems by using Laplace transform.
5. Homogeneous linear system with coefficient constant:
fundamental solution, repeated eigenvalue, complex eigenvalue
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. Tutorial 10%
2. Assignment 20 %
3. Quiz 20 %
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 Slides and LCD projectors, whiteboards Learning Methods Lecture and discussion
Literatures 1. W.E. Boyce and R.C. Di Prima, 2012, Elementary Differential Equation and Boundary Value Problem, 10th Ed., John Willey &
Sons, Inc., Canada.
1. L.R. Shepley, 1974, Differential Equation, John Willey & Sons, Inc., New York
2. C.H. Edwards, Jr. dan D.E. Penney, 1996, Differential equations and boundary value problems: Computing and modeling, Prentice Hall International, Inc.
Notes:
