104018 – Differential and Integral Calculus 1M

Differential and Integral Calculus 1 – 104003


The real numbers as a complete ordered field, infinite sequences of real numbers, real valued functions of a single real variable: limits and continuity, continuity on a closed interval, monotonic functions, inverse functions, differentiability and the fundamental theorem of differential calculus, Taylor’s theorem, L’Hopital’s rule, curve tracing, elementary, functions, methods of integration, definite integrals, integrable functions, fundamental theorems of integral calculus, improper integrals. Sequences and numerical infinite series, power series.


  • Sequences
  • Functions – Limits and Continuity
  • Derivatives
  • The Basic Theorems of the Differential Calculus
  • Indefinite Integrals
  • Definite Integrals and the Fundamental Theorem of Calculus
  • Improper Integrals
  • Series and Power Series


Contact hours

Lecture: 4 hours
Recitation: 2 hours

Credit points: 5