Calculus 1 Fundamentals

La duración total del curso es de 3 horas.

1. Introduction.
   • Overview of Calculus and its applications.
   • Historical background and development of calculus.
   • Importance of calculus in various fields such as physics, engineering, economics, etc.
   • Introduction to key concepts like functions, variables, and mathematical modeling.
   • Overview of the course structure and learning objectives.
2. Limits.
   • Understanding the concept of limits intuitively.
   • Evaluating limits algebraically using direct substitution.
   • Evaluating limits graphically and numerically.
   • Techniques for finding limits, such as L’Hopital rule and Sandwich theorem.
   • Limits of Trigonometric Functions.
   • Limits at infinity.
   • Applications of limits in determining continuity and behavior of functions.
3. Derivatives.
   • Definition of derivatives.
   • Computing derivatives of algebraic functions.
   • Derivatives of trigonometric, exponential, and logarithmic functions.
   • Rules of differentiation.
   • Explanation of the chain rule.
4. Exercises.
   • Practice problems on evaluating limits using different methods.
   • Exercises on finding derivatives of various functions.
   • Applications-based problems involving limits and derivatives.
   • Problem sets covering theoretical concepts and practical applications.
   • Review exercises to reinforce understanding and skills.

1. Conocimientos básicos de funciones.
2. Familiaridad con los fundamentos de Álgebra
3. Conocimientos básicos de Trigonometría serán útiles.
4. Interés y disposición a comprometerse con el aprendizaje activo

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.