Cálculo I (Inglés)

• Lecturer

• Programme

• Bibliography

• Methodology and assessment

Lecturer:

Pilar Ruiz Gordoa 

Departamento de Matemática Aplicada

Departamental II, Campus de Móstoles

Despacho 011

email: pilar.gordoa@urjc.es

Tel: 91 488 8243
 

Programme: 

1. Preliminaries

2. Real numbers

3. Complex numbers

4. Sequences

5. Infinite series

6. Limits

7. Continuity

8. Differentiation

9. Applications of the derivative

10. Integration

Bibliography:

1. Michael Spivak,

    Calculus, (Publish or Perish)

2. Saturnino L. Salas, Einar Hille and Garret J. Etgen,

    Calculus: One and Several Variables, (Wiley)

3. George Thomas, Maurice Weir, Joel Hass and Frank Giordano,

    Thomas' Calculus, (Pearson)

4. Richard Courant and Fritz John,

    Introduction to Calculus and Analysis Volume I, (Springer)

Methodology and assessment:

In addition to lectures (theory and problems), students will also be expected to attend

computing practicals, where they will be introduced to the symbolic manipulation

programme MAPLE. Students will be given exercises to do in their own time, which

will then be handed in for marking. There will also be two short tests, set during two

of the lectures.

The final mark for the course will consist of:

Marked exercises and MAPLE practicals: 10%

Two tests:                                                 20% (10% each)

Final exam:                                                70%