Infinitesimal Calculus III (MAY311)
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Undergraduate Courses Outlines - Department of Mathematics
General
School |
School of Science |
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Academic Unit |
Department of Mathematics |
Level of Studies |
Undergraduate |
Course Code |
MAΥ311 |
Semester | 3 |
Course Title |
Infinitesimal Calculus III |
Independent Teaching Activities |
Lectures, laboratory exercises (Weekly Teaching Hours: 5, Credits: 7.5) |
Course Type |
General Background |
Prerequisite Courses | - |
Language of Instruction and Examinations |
Greek, English |
Is the Course Offered to Erasmus Students |
Yes (in English) |
Course Website (URL) |
Learning Outcomes
Learning outcomes |
The main learning outcomes are the:
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General Competences |
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Syllabus
- Algebraic and topological structure of the Euclidean space R^n and geometric representation of the two- and three-dimensional space. Vector-sequences and their use concerning the topology of R^n.
- Real- and Vector-valued functions of several variables. Limits and continuity of functions.
- Partial derivatives. Partially differentiable and differentiable functions. Directional derivative. Differential operators and curves in R^n.
- Higher order partial derivatives. Taylor Theorem. Local and global extrema of real-valued functions. Implicit Function Theorem. Inverse Function Theorem. Constrained extrema.
Teaching and Learning Methods - Evaluation
Delivery |
Classroom (face-to-face) | ||||||||||
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Use of Information and Communications Technology |
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Teaching Methods |
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Student Performance Evaluation |
Final written exam in Greek (in case of Erasmus students in English) |
Attached Bibliography
See Eudoxus. Additionally: