Calculus III
| Title | ΛΟΓΙΣΜΟΣ ΙΙΙ / Calculus III |
| Code | 0203Α |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Common | No |
| Status | Active |
| Course ID | 600019630 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 6
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Compulsory Course | Winter/Spring | - | 6 |
| Academic Year | 2020 – 2021 |
| Class Period | Spring |
| Faculty Instructors | |
| Class ID | 600185443
|
| Section | Instructors |
|---|---|
| 1. ΤΜΗΜΑ Α | Romanos diogenis Malikiosis |
| 2. ΤΜΗΜΑ Β | Petros Galanopoulos |
Course Type 2016-2020
- General Knowledge
- Scientific Area
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600185443
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
Required Courses
- 0202 Calculus II
- 0108 Linear Algebra
General Competences
- Apply knowledge in practice
- Make decisions
- Be critical and self-critical
- Advance free, creative and causative thinking
Course Content (Syllabus)
Functions of several variables - Limits and continuity - Partial derivatives -
Differentiation of scalar and vector functions - The chain rule - Higher order partial
derivatives - Directional derivatives - Taylor’s formula - Extremes of real valued
functions - Lagrange multipliers - The implicit function theorem and the inverse function
theorem.
Keywords
functions of several variables, partial derivatives, Taylor's formula, Lagrange multipliers.
Educational Material Types
- Notes
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 52 | 1.7 | ✓ | ||
| Reading Assigment | 125 | 4.2 | ✓ | ||
| Exams | 3 | 0.1 | ✓ | ||
| Total | 180 | 6 |
Student Assessment
Student Assessment methods
- Written Exam with Short Answer Questions (Summative)
- Written Exam with Extended Answer Questions (Summative)
- Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
- Μαθήματα Διαφορικού Λογισμού πολλών μεταβλητών, Ν. Δανίκας, Μ. Μαριάς, Ζήτη, 2003.
- Διανυσματικός Λογισμός, J. Marsden, A. Tromba, Παν/κές Εκδόσεις Κρήτης, 2010.
Last Update
22-07-2020
