# Problem Seminar I

 Title ΣΕΜΙΝΑΡΙΟ ΠΡΟΒΛΗΜΑΤΩΝ Ι / Problem Seminar I Code 0147 Faculty Sciences School Mathematics Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Romanos diogenis Malikiosis Common Yes Status Active Course ID 600017208

### Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 37
OrientationAttendance TypeSemesterYearECTS
CoreElective CoursesWinter-2

 Academic Year 2022 – 2023 Class Period Winter Faculty Instructors Weekly Hours 2 Class ID 600221038
Course Type 2016-2020
• Scientific Area
• Skills Development
Course Type 2011-2015
Knowledge Deepening / Consolidation
Mode of Delivery
• Face to face
Digital Course Content
Language of Instruction
• Greek (Instruction)
• English (Instruction, Examination)
General Competences
• Work in an international context
• Advance free, creative and causative thinking
Course Content (Syllabus)
Analysis 1. Real and complex numbers. 2. Sequences and series of numbers. 3. Functions of one real variable: continuity, differentiability, Taylor formula, Riemann integral. 4. Sequences and series of functions: pointwise and uniform convergence; differentiability and integrability term by term. 5. Power series, elementary functions. 6. Improper Riemann integral, functions defined by integrals (Euler integrals). Algebra and Geometry 1. General notions about some algebraic structures: groups, rings, fields. 2. General properties about polynomials with real and complex coefficients. 3. Finite dimensional vector spaces over real and complex numbers: base and dimension. 4. Linear transformations and matrices; eigenvalues, eigenvectors, diagonal form and applications. 5. Quadratic forms. Plane and and solid analytical geometry: lines, planes, conics, quadrics.
Educational Material Types
• Notes
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Communication with Students
Course Organization