Calculus 1 Lectures

La duración total del curso es de 28 horas.

1. Evaluating Limits Analytically.
   • Basic Techniques.
   • Limits Involving Trigonometric Functions.
   • Limits at Infinity.
2. Continuity and one-sided limits.
   • Defining continuity of functions at a point and over an interval.
   • Identifying different types of discontinuities.
3. Derivatives.
   • Introduction to the derivative.
   • Differentiation rules, such as the power rule, product rule, quotient rule, and chain rule.
   •  Using implicit differentiation to find derivatives.
4. Absolute Maxima and Minima.
   • Identifying local extrema using the first derivative.
   • Determining global extrema using critical points.
5. Rolle’s Theorem and the Mean Value Theorem.
   • Understanding and applying Theorems.
6. Curve sketching.
   • Using derivatives to analyze functions.
   • Determining concavity, inflection points, and behavior of the function using second derivative tests.
   • Constructing accurate graphs of functions.
7. Optimization problems.
   • Setting up optimization problems involving maximizing or minimizing quantities subject to constraints.
8. Integration
   • Integration by substitution.
   • Riemann sums and definite integrals.
   • Integrals with the natural logarithm.
   • Applying the fundamental theorem to evaluate definite integrals.

1. Conocimientos básicos de álgebra.
2. Familiaridad con trigonometría es útil.
3. Motivación para aprender y aplicar conceptos de cálculo.

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.