Become a Full Master of Calculus 1

La duración total del curso es de 43 horas.

1. Introduction.
   • Overview of the course.
   • Importance of mastering Calculus 1.
   • How to navigate the course materials.
2. Functions.
   • Definition and types of functions.
   • Domain and range of a functions.
   • Vertical and horizontal line tests.
   • Ordered pair test.
3. Graphing Functions.
   • Introduction to graphical representation of a function.
   • Transformation of functions.
   • Introduction to Inverse of a function.
   • Parabola and inverse parabolic functions.
   • Circle: center, radius, radians, and degrees.
   • Least squares method and regression lines.
4. Limits.
   • Definition and concept of limits.
   • Limits of trigonometric functions.
   • Limits at infinity.
   • One-sided and two-sided limits.
   • Limits of multivariable functions.
5. Continuity and Discontinuity
   • Definition of continuity.
   • Types of discontinuities: removable, jump, and infinite.
   • Asymptotes: vertical and horizontal.
   • Squeeze Theorem.
6. Equations of Lines.
   • Point-slope form of the equation.
   • Slope-intercept form of the equation.
   • Standard form of the equation.
   • Tangent and normal lines.
7. Derivative Rules.
   • Basic derivative rules: power, product, and quotient rules.
   • Chain rule and Power rule.
   • Derivatives of trigonometric functions.
   • Hyperbolic and inverse hyperbolic functions.
8. Advanced Differentiation Techniques.
   • Composite functions.
   • Implicit differentiation.
   • Logarithmic and exponential rules.
   • Logarithmic and exponential differentiation.
9. Applications of Differentiation.
   • Modeling and solving equations.
   • Optimization problems.
   • Related rates.

1. Conocimiento básico de cálculo, incluyendo funciones, límites y derivadas.
2. Familiaridad con álgebra elemental, incluyendo operaciones con polinomios y ecuaciones.
3. Comprensión básica de trigonometría, como identidades trigonométricas y funciones trigonométricas.
4. Capacidad para comprender y trabajar con conceptos matemáticos.

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.