School of Chemical and Environmental Engineering
Now offering two distinct diplomas: Chemical Engineering and Environmental Engineering
1. COURSE INFORMATION:
|Course ID||MATH 101||Semester||1st|
|Course Modules||Instruction Hours per Week||ECTS|
|Lectures and Tutorial Exercises||4 |
Th=3, E=1, L=0
|Course Type||General Background|
|The course is offered to Erasmus students||No|
|Course URL||https//www.eclass.tuc.gr/courses/MHPER314/ (in Greek)|
2. 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
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||E-class support|
|Instruction Organisation||Activity||Workload per Semester |
|- Lab assignments||13|
|- Autonomous study||73|
Written final examination (100 %).
5. RECOMMENDED READING