Objectives and competences
To know ordinary differential equations, their implementations.
Content (Syllabus outline)
1. Basics: Construction of ODE, graphical solutions, equations with separable variables, natural growth.
2. Ordinary differential equations: Basic types of ODE, parametric solving, singular integrals, applications in geometry and physics, Modeling changes with differencial equations.
3. Linear differential equations.
Learning and teaching methods
• Lectures
• Lab- and seminar exercises
• Individual work
• Practical demonstration
• Teaching and learning are done through the didactic use of ICT
Intended learning outcomes - knowledge and understanding
• Knowledge and understanding of differential equations and methods of their solution .
• Be able to understand and implement differential equations.
Intended learning outcomes - transferable/key skills and other attributes
• Critical Thinking Skills (problem solving): solving more demanding physical tasks and practical problems based on the acquired knowledge, linking contents in the field of analysis and algebra.
• Communication skills: manner of expression at exams.
Readings
E. Zakrajšek, Analiza III, 3. izdaja, DMFA Založništvo, 2002.
J. Cimprič: Rešene naloge iz Analize III. DMFA Založništvo, 2001.
W. Kaplan, Advanced Calculusi, Fifth Edition. Addisson-Wesley Publishing Company, Redwood City, California, 2003.
Prerequisits
Knowledge of differentials and integrals.
Additional information on implementation and assessment Type (examination, oral, coursework, project):
Written exam – practical part 50 %
Exam (oral) – theoretical part 50 %
Written exam - practical part can be repalced with at least two mid-term tests.
Exam (oral) - theoretical part can be repalced with at least two mid-term theoretical tests.
Each of the mentioned commitments must be assessed with a passing grade.
Passing grade of the written test is required for taking the exam.
