Calculus I

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1.- Functions of a real variable

1. The real line
2. Elementary functions
3. Limits
4. Continuity

2.- Differential calculus in one variable

1. Derivatives
2. Extrema of functions
3. Graphical representation
4. Taylor polynomial

3.- Sequences and series

1. Real numbers sequences
2. Real numbers series
3. Taylor series

4.- Integration in one variable

1. Antiderivatives
2. Fundamental Theorem of Calculus
3. Applications