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Multivariable Calculus and Differential Equations, 4 ECTS credits.
/Flervariabelanalys och differentialekvationer/
For:
U
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Prel. scheduled
hours: 36
Rec. self-study hours: 71
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Area of Education: Science
Main field of studies: Mathematics, Applied Mathematics
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Advancement level
(G1, G2, A): G1
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Aim:
Gain familiarity with mathematical concepts, reasoning and relationships in multivariable calculus and linear differential equations in one variable, and gain the calculation and problem solving skills needed for further studies. After completing this course you should be able to
- cite, explain and use the definitions and theorems of the course�?Ts key concepts
- solve problems and verify that results are correct or resonable
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Calculus in one variable 1, Linear Algebra
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Organisation:
The course consists of lectures and classes.
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Course contents:
Ordinary differential equations: first order linear and separable equations, linear equations of higher order with constant coefficients. The space R ^ n: basic topological concepts, functions from R ^ n to R ^ p, function surfaces,level surfaces and level curves. Differential calculus: partial derivatives, the chain rule, partial differential equations, gradient, normal, tangent, tangent plane and directional derivative. Double integrals: repeated integration, functional determinants and variable substitution.
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Course literature:
Neymark, M.: Matematisk analys, flera variabler. Liber
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Examination: |
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Written examination
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4 ECTS
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Course language is Swedish.
Department offering the course: MAI.
Director of Studies: Jesper Thorén
Examiner: Göran Forsling
Link to the course homepage at the department
Course Syllabus in Swedish
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