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##### Module Notes

Faculty Member (Members):

Undergraduate, 2nd Semester (1st Year, Spring)

*Module Category:*Compulsory Modules

*Module Type:*Background Courses

*Teaching Language:*Greek

*Course Code:*CHM_201

*Credits:*5

*ECTS Credits:*7

*Teaching Type:*Lectures (4h/W) Τutorial (2h/W)

*Module Availability on Erasmus Students:*No

*Course URL:*E-Class (CMNG2207)

*Student's office hours:*Friday 09.00 - 13.00

##### Module Details

At the end of this course the student should be able to:

- Have a good understanding of the knowledge of the basic applied mathematics for engineers, within the wide area of the differential and integral calculus of many variables, as well as of the vector analysis, which is adequate to his/her science.
- Know the new notions in the form of definitions and theorems that concern the basic contents of the course "Multivariable Calculus and Vector Analysis", in order to be able to apply them.
- Combine and make worthy of the knowledge that he/she acquired to other fields of the theoretical and applied mathematics, in which certain notions and principles of the present course are necessary and useful.

At the end of the course the student will have further developed the following skills and competences:

- Ability to demonstrate knowledge and understanding of essential concepts, principles and applications that are related to the differential and integral calculus of many variables, as well as to the vector analysis.
- Ability to apply such knowledge to the solution of problems in other fields of the wide conception of theoretical and applied mathematics, related to the science of Chemical Engineering, or to the solution of multidisciplinary problems.
- Study skills needed for continuing profession development.

Use of web pages and e–class.

- Teaching (4 hours/week): lectures using blackboard of the theory and its application to typical mathematical problems of Chemical Engineering.
- Recitation (2 hours/week): solving on the blackboard exercises concerning mainly mathematical applications of the science of Chemical Engineering.

**Total Module Workload (ECTS Standards):**

159 Hours

The instruction language is Greek. Written or / and oral examination (100% of final mark).

- P.M. Hatzikonstantinou, "Mathematical Methods for Engineers and Scientists: Calculus of Functions with Many Variables & Vector Analysis", Gotsis Publications, Patras, 2017 (Eudoxos / code 68381163).
- J. Hass, C. Heil and M.D. Weir, "Thomas Infinitesimal Calculus" (translation Y. Kotsopoulos), Institute of Technology & Research – University of Crete Publications, Herakleion, 2018 (Eudoxos / code 77107082).
- D. Georgiou, T. Karakasidis and A. Megaritis, "Differential and Integral Calculus of Functions with Many Variables", Tziolas Publications, Thessaloniki, 2022 (Eudoxos / code 112690385).