Τμήμα Ωκεανογραφίας και Θαλασσίων Βιοεπιστημών

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Mathematics I
School:
Of the Environment
Academic Unit:
Department of Marine Sciences
Level of studies:
Undergraduate
Course Code:
191ΜΥ4Υ
Semester:
Α
Course Title:
Mathematics I
Credits
6
Course Type:
General background.
Prerequisite Courses:
There are no official prerequisites. However, the whole material of mathematics in secondary education is an essential prerequisite for the course.
Language of Instruction and Examinations:
Greek
Is the course offered to Erasmus students:
Yes. In case of participation of Erasmus students, the course is offered in English.
  • (2) Learning Outcomes
  • Learning Outcomes

It is expected that students should learn the material presented in the Syllabus.

  • General Competences

The course aims to the preparation of the students for the next course, “Mathematics II”, essentially Calculus of Several Variables (second semester). Both courses aim to applications in oceanography.

  • (3) Syllabus

Sets and Functions.

Elements of Algebra and Trigonometry.

Complex numbers, Euler’s formula.

Elementary functions, their inverses.

Applications of the derivative.

The Riemann integral, methods of integration, improper integrals.

Elementary differential equations, separable differential equations, linear second-order differential equations with constant coefficients.

  • (4) Teaching and Learning Methods - Evaluation
  • Delivery:

Face-to-face

  • Use of Information and Communication Technology:

The Calculus Laboratory aims in the acquaintance of students with MATHEMATICA.

  • Teaching Methods:
Activity Semester workload
Lectures-Seminars
10
Tutorials
10
Lectures
10
Independent study
67
Final exam
3
Lectures/Turorials
50
Course total
155
  • Student Performance Evaluation:

Lectures and tutorials.

Final written examination.

Student’s papers are accessible to them. Students may ask detailed information about their evaluation.

  • (5) Attached Bibliography

– Suggested bibliography:

 

Class Notes: 140 pages (in Greek).

M.R. Spiegel, Ανώτερα Μαθηματικά, σειρά Schaum’s, β΄ έκδοση, εκδόσεις Τζιόλας.

Jr. Αyres, Γενικά Μαθηματικά, ΕΣΠΙ Εκδοτική Ε.Π.Ε.

–Additional bibliography:

R.L. Finney, M.D. Weir, F.R. Giordano, Απειροστικός Λογισμός, Πανεπιστημιακές Εκδόσεις Κρήτης.

Hughes-Hallet, A.M. Gleason et al, Calculus, John Wiley.