- Adams, Robert A. & Essex, Christopher (2009). Calculus a complete course, Pearson Education
- Pinchover, Yehuda & Rubinsteien, Jacob (2013). An introduction to Partial Differential Equations, Cambridge University Press
EduSinglePage
Course offered as a part of a programme
Kurs, master’s level
7.5 hp
Malmö | daytime | 50%
10 november 2025 - 18 januari 2026
Kurskod: MA621E
Om kursen
The course objective is for the student to gain an overview of theory and methods within the area of multivariable analysis targeting optimisation problems.The student is also given an introduction to partial differential equations. These principles contains the foundations for the whole chain of modelling used to solve the problems that emerge within materials science.
Denna kursen ges som del av program:
Kursinnehåll
Part I: Functions of several variables
• Differential calculus for functions of several variables
• Optimisation problems
• Vector analysis
Part II: Introduction to partial differential equations
• Linear partial differential equations of first order
• General introduction to initial and boundary value problems, classification of linear partial differential equations of second order
• Wave equation: unbounded and bounded string (Fourier’s method), variable separation, Duhamel’s principle, energy and unicity
• Heat transfer equation: separation of variables, Duhamel’s principle, energy and unicity
Behörighetskrav
1. Degree of Engineering in Mechanical Engineering or a degree in a related field. All degrees must be equivalent to at least 180 higher education credits.
2. At least 22.5 credits of Mathematics.
3. The equivalent of English 6 in Swedish secondary school
Kurslitteratur
Kursvärdering
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