1. COURSE INFORMATION:
School  Environmental Engineering  
Course Level  Undergraduate  
Course ID  MATH 101  Semester  1^{st} 
Course Category  Required  
Course Modules  Instruction Hours per Week  ECTS  
Lectures and Tutorial Exercises  4 Th=3, E=1, L=0  5  
Course Type  General Background  
Prerequisites  
Instruction/Exam Language  Greek  
The course is offered to Erasmus students  No  
Course URL  https//www.eclass.tuc.gr/courses/MHPER314/ (in Greek) 
2. LEARNING OUTCOMES
Learning Outcomes 
This course aims to provides the essential mathematical techniques that an engineer needs in the theoretical part of his training as well as what he/she shall need in the computational part of his work. On completion of this course students will be expected to

General Competencies/Skills 

3. COURSE SYLLABUS
Real variables. Principle of Mathematical induction. Sequences, limits of sequences, recursively defined sequences. Series (Convergence criteria) Functions of one real variable. Limits and continuity of functions. Derivatives. Geometric interpretation of the derivative. Differentials. Applications of the derivative. Definite integrals. Basic theorems of integral calculus. Applications of integration: Αreas between two curves, volumes and surfaces of solids by revolution, arc length, moments and centroids, hydrostatic pressure. Exponential Functions. Inverse functions. Hyperbolic functions. Indefinite integral. Integration techniques. Techniques of Integration: Integration by Parts,Trigonometric Integrals, Trigonometric Substitutions,Integration of Rational Functions by Partial Fractions, Improper Integrals. Power series and Taylor series. Applications of series. 
4. INSTRUCTION and LEARNING METHODS  ASSESSMENT
Lecture Method  Direct (face to face)  
Use of Information and Communication Technology  Eclass support  
Instruction Organisation  Activity  Workload per Semester (hours)  
 Lectures  39  
 Lab assignments  13  
 Autonomous study  73  
Course Total  125  
Assessment Method  Written final examination (100 %). 
5. RECOMMENDED READING

6. INSTRUCTORS
Course Instructor:  Associate Professor A. Manoussakis(Faculty  EnvEng)  
Lectures:  Associate Professor A. Manoussakis(Faculty  EnvEng)  
Tutorial exercises:  Associate Professor A. Manoussakis(Faculty  EnvEng)  
Laboratory Exercises: 