School 
Natural Sciences 
Academic Unit

Geology Department 
Level of Studies

Undergraduate 
Course Code

GEOL_005 
Εξάμηνο σπουδών 
1^{ο} 
Course Title

MathematicsStatistics 
Independent Teaching Activities

Lectures, Laboratoty work 
Weekly Teaching Hours

2L, 2LW 
Credits 
5 
Course Type

Basic Background, General Knowledge, Field of Science, Skills Development 
Prerequisite Courses


Language of Instruction & Examinations

Greek 
the Course offered to Erasmus Students

Υes (in english) 
Course WebPage (URL) 

Learning Outcomes

The aim of the course is to provide to the students of the Department of Geology all the necessary knowledge of Applied Mathematics and Statistics that are needed to their science in the areas of Differential and Integral Calculus of one variable and many variables, Differential Equations and Statistics. During the course students will get familiar with mathematical applications in Geology and Environmental Sciences. This knowledge is necessary for many subsequent specialty courses of the Department of Geology.
At the end of the course the students will have acquired the following skills:
 To be able to effectively use Differential and Integral Calculus of one variable and many variables and basic notions of Statistics during their studies at the Department of Geology.
 To be able to competent in mathematical modeling of problems in geology.

General Competences

Generally, by the end of this course the students will, furthermore, have develop the following general abilities (from the list above):
 Searching, analysis and synthesis of facts and information
 Decision making
 Adaptation to new situations
 Production of new research ideas
 Working in an interdisciplinary environment

Syllabus 
 Differential Calculus of functions of one variable (Limit, Continuity and Derivative function, Study of functions)
 Integral Calculus of functions of one variable (Indefinite integrals, definite integrals, Improper Integrals)
 Sequences  Series
 Differential Equations (An Introduction to Differential Equations, First order Linear Differential Equations, Differential Equations of Separate Variables, Mathematic models)
 Linear Algebra (Determinants, Matrices, Linear Systems)
 Elements of Statistics (Combinatorics, Presentation of statistical data, Position and distribution measures, Linear regression)
 6. Applications in topics of Geology and Environmental Sciences. Mathematic modeling in issues of Geology.

Delivery 
Lectures 
Use of Information & Communication Technology

Support of learning proceedings and shedding of educational material through e_class 
Teaching Methods

Activity 
Semester workload 
Lectures 
26 
Laboratory work 
26 
Study (nonguidance) 
73 
Total number of hours for the Course 
125 hours 

Student Performance Evaluation

 Language: Greek (English for erasmus)
 Written final examination after the end of the semester (100%):
 Including 2 questions on theory and 3 questions on applications of mathematics in Geology

Attached Bibliography

 Dimitrios Georgiou, Stavros Iliadis and Athanasios Megaritis, Real Analysis, Tziolas 2017.
 Vasilios Zafiropoulos, Mathematical Analysis and its applications, Patra 2012.
 3. John Ferguson, Mathematics in Geology, Springer 1988.
