Universitat Politècnica de Catalunya · BarcelonaTech

Fundamentals of Mathematics (2500000) – Course 2025/26 PDF

Contents

Real numbers Trigonometry Metric spaces Problems

Dedication

5h Large group + 3h Medium group + 11h 12m Self Study
Total: 19h 12m

Convergent sequences Calculation of limits, infinite and infinitesimal Series of real numbers Problems

Dedication

7h Large group + 7h Medium group + 3h Laboratory classes + 23h 48m Self Study
Total: 40h 48m

Real functions of real variable. Elementary functions. Limits of a function Indeterminations Continuity of functions Derivative of a function Tangent and normal lines Rolle and mean value theorems Taylor polynomial Extremes of functions of one variable Problems

Dedication

10h Large group + 7h Medium group + 23h 48m Self Study
Total: 40h 48m

Indefinite integral and calculation of primitives Definition and properties of the Riemann integral First fundamental theorem of calculus Second fundamental theorem of calculus (Barrow's rule) Application to the calculation of areas and volumes Problems

Dedication

8h Large group + 7h Medium group + 3h Laboratory classes + 25h 12m Self Study
Total: 43h 12m