Teaching GuideTerm
Faculty of Computer Science
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Grao en Enxeñaría Informática
 Subjects
  Calculus
   Contents
Topic Sub-topic
Real valued functions of one real variable - Important sets of numbers
- Real valued functions of one real variable
- Elementary functions
- Limit of a function at one point
- Continuity
- Bisection method
- Lagrange interpolation
Differential calculus of real valued functions of one real variable - Differentiability
- Derivative of elementary functions
- Newton-Raphson's Method
- Relative and absolute extrema
- Theorems of differential calculus
- Immediate applications of derivatives
- Higher order derivatives
- Taylor's theorem
- Implicit and logarithmic differentiation
Integral calculus of real valued functions of one variable - The Riemann integral
- Elementary methods for the calculus of primitives
- Improper integrals
- Applications of the integral
- Numerical integration
- Introduction to differential equations
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