TA-1007 Mathematics I

Course Title:
Mathematics I           

Code:
TA-1007

Short Description:
 
Derivatives: The Definition of the Derivative. Interpretation of the Derivative. Differentiation Formulas. Product and Quotient Rule. Derivatives of Functions. Chain Rule. Implicit Differentiation. Related Rates.
Applications of Derivatives: Rates of Change, Critical Points, Minimum and Maximum Values, Finding Absolute Extrema, The Mean Value Theorem, Optimization Problems, Linear Approximations, Differentials
Integrals: Indefinite Integrals, Computing Indefinite Integrals, Substitution Rule for Indefinite Integrals, Area Problem, Definition of the Definite Integral, Computing Definite Integrals, Substitution Rule for Definite Integrals
Applications of Integrals: Average Function Value, Area Between Two Curves, Volumes of Solids of Revolution / Method of Rings, Volumes of Solids of Revolution / Method of Cylinders, More Volume Problems

Literature:
 

Course Assessment:
 

ECTS
5

Professor:
Dr. Ι.Potamitis, email: potamitis@staff.teicrete.gr

 
 

English