Calculus 1: The Complete Guide

La duración total del curso es de 17 horas.

1. Introduction to Calculus.
   1. History and applications of calculus.
   2. Importance of calculus in various disciplines.
2. Number Set.
   1. Definition and types of number sets.
   2. Properties and operations within each number set.
   3. Understanding of intervals and notation.
3. Functions.
   1. Definition and general form of polynomial functions.
   2. Degree and leading coefficient.
   3. Definition and properties of inverse functions.
   4. Finding the inverse of a function algebraically.
4. Euler’s Formula.
   1. Concept and definition of a limit.
   2. Techniques for calculating limits.
5. Derivatives.
   1. Definition and interpretation of the derivative.
   2. Basic differentiation rules (power rule, product rule, quotient rule, chain rule).
   3. Derivatives of common functions.
6. The Riemann Integral.
   1. Definition and concept of the Riemann integral.
   2. Understanding Riemann sums and the partitioning of intervals.
   3. Fundamental Theorem of Calculus: Part 1 and Part 2.
7. Volumes of Revolution.
   1. Concept of solids of revolution.
   2. Methods for finding volumes of revolution (disk method, washer method, shell method).
   3. Setting up and evaluating integrals for volumes of revolution.

1. Conocimientos básicos de diferenciación e integración.
2. Comprensión sólida de la manipulación algebraica.
3. Familiaridad con las funciones trigonométricas

La realización del curso será completamente on-line y evaluado a través de un examen. Una vez superado el mismo, podrás recibir tu título, válido para toda España.

Una vez hayas completado el curso, puede realizar el test relacionado y obtener tu título.