Curves and surfaces
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Course information
Learning outcomes
After passing the course the student will be able to
- recognize the need of basic geometric concepts on their own field of expertise
- distinguish between internal and external properties of geometric objects
- share basic skills for calculating local geometric quantities
- deduce global conclusions from local quantities
Content
Curves in the plane and space, curvature and torsion of a curve, global theory of curves. Surfaces in the Euclidean space, first and second fundamental form, curvature of a surface, Gauss map. Gauss-Bonnet theorem for surfaces.
Teacher
Kirsi Peltonen
Study material
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Workload
24+12 (4+2).
Prerequisites
Recommended prerequisites: MS-A03XX Differential and integral calculus 3.
Evaluation
Lectures, exercises.
Teaching time and location
The teaching time and the location of the course can be found at Sisu information system
- The link leads to Completion methods tab of the course page
- From the top of the page (Version drop-down menu), check that academic year 2025-2026 is selected
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From the blue bar, click Lecture and open the Groups and teaching times tab to see the teaching time and the location of the course. Exam times can be seen by clicking Exam.
The teacher has four (4) weeks to grade the exam submissions starting from the exam date.
Further information
Substitutes the course Mat-1.3530 Introduction to Differential Geometry P.
Online learning environment for the course
MyCourses online learning environment is a tool for both students and teachers for communication and managing everyday course work. You need an Aalto User ID to log in to the course's MyCourses workspace and participate in teaching.
Digital workspace of the course:
MyCourses
More details on completing the course will be available at MyCourses closer to the start of the course.
Registration and course fee
Registration for Open University courses is done via the link below:
Course registration
Registration for this course starts on 4.8.2025 at 9.00
Registration for this course ends on 25.8.2025 at 23.59
It is not possible to register before the registration period has started or after it has ended.
The number of participants is limited to 5.
This course is organized by the Aalto University School of Science.
The course fee is paid upon registration for each course at a time and it is binding. Familiarize yourself with registration and payment rules as well as other guidelines for students:
Registration, payments and rules
Activating Aalto ID and Multifactor Authentication
You can activate your Aalto User ID the day after the registration and you should activate it no later than the day before the start of the course.
Instructions for activating your Aalto user ID
Once you have activated your Aalto user ID, also enable multifactor authentication. Some of Aalto University's services require multifactor authentication.
Studying at the Open University
Do you need individual study arrangements for health reasons? How can I navigate in campus facilities? Read more about issues related to studying at the Open University. The Studying at the Open University page has gathered useful information about studying.
