# Mathematics I

 Title ΓΕΝΙΚΑ ΜΑΘΗΜΑΤΙΚΑ Ι / Mathematics I Code GGN 101Y Faculty Sciences School Geology Cycle / Level 1st / Undergraduate Teaching Period Winter/Spring Coordinator Ioannis Pytharoulis Common No Status Active Course ID 40001767

 Academic Year 2022 – 2023 Class Period Winter Faculty Instructors Instructors from Other Categories Weekly Hours 4 Class ID 600215854
Course Type 2016-2020
• Background
Course Type 2011-2015
General Foundation
Mode of Delivery
• Face to face
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
• Greek (Instruction, Examination)
• English (Instruction, Examination)
Learning Outcomes
Upon successful completion of this course, the students will: 1) Be able to perform matrix operations, calculate determinants, solve systems of equations, produce graphical representation of mathematical functions, calculate derivatives and integrals. 2) Distinguish the kinds of curves in 2 and 3 dimensions. 3) To understand and apply matrices, determinants, systems of equations, mathematical functions, derivatives and integrals in order to solve problems.
General Competences
• Apply knowledge in practice
• Work autonomously
Course Content (Syllabus)
Matrices (operations, properties), determinants (properties), inverse of a matrix, rank, solution of linear systems. Analytical geometry (coordinate systems, equation of line, plane, circle etc.), quadric surfaces. Functions of one variable, graphical representation. Taylor-Maclaurin series. Derivatives. Integrals. Functions of multiple variables and partial derivatives. Applications.
Keywords
matrices, determinants, systems of equations, analytical geometry, functions, derivatives, integrals
Educational Material Types
• Slide presentations
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Communication with Students
Description
1) All class material is available in electronic form to all students through elearning and the course web page. 2) The teachers communicate with the students through e-mail, sis.auth.gr, elearning.auth.gr
Course Organization
Lectures1434.8