Pre-Calculus from Coursera

What's inside

Syllabus

Comprueba tu nivel de conocimientos matemáticos

Tres cuestionarios, de dificultad creciente, para evaluar el nivel mínimo de conocimientos matemáticos que se exige para seguir cómodamente el curso. La realización de estas pruebas es opcional y se pueden realizar tantas veces como sea necesario. La puntuación obtenida en ellas no formará parte de la evaluación final del curso.

Números y funciones

Conjuntos de números, el conjunto de los números reales, valor absoluto, subconjuntos de números, el plano real y distancias en el plano, funciones reales y su representación gráfica, la función inversa, comportamiento de una función.

Funciones lineales, cuadráticas y polinomiales

Rectas en el plano, pendiente de una recta, funciones constantes y funciones lineales, funciones cuadráticas, ceros de funciones, funciones polinomiales, ceros de funciones polinomiales, representación gráfica de funciones polinomiales.

Funciones exponenciales y logarítmicas

La función exponencial, representación gráfica, las funciones logarítmicas, representación gráfica, ecuaciones exponenciales, conversión entre expresiones exponenciales y logarítmicas, cambio de base en expresiones logarítmicas, ecuaciones logarítmicas, aplicaciones.

Funciones trigonométricas

Funciones trigonométricas, identidades fundamentales, representaciones gráficas, resolución de triángulos rectángulos, resolución de ecuaciones trigonométricas, resolución de triángulos cualesquiera.

Derivación

La tasa de variación de una función, derivada de una función en un punto, interpretación geométrica, función derivada, cálculo de derivadas, máximos y mínimos de una función, aplicaciones.

Integración

La función primitiva o antiderivada. Cálculo de primitivas. Técnicas de integración. El área limitada por una función, la integral definida, Teorema fundamental del cálculo y aplicaciones al cálculo de áreas.

Números complejos

Los ceros de la función f(x)=x^2+1, los números complejos, operaciones con números complejos, formas trigonométrica y polar de un número complejo, potenciación y radicación de números complejos.

Revisión y examen final

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Presenta una gran cantidad de módulos, abarcando diferentes aspectos de las matemáticas

Tiene una estructura clara y ordenada, facilitando el progreso del aprendizaje

Los cuestionarios iniciales evalúan los conocimientos previos y orientan a los estudiantes

Cubre conceptos esenciales para las carreras en Ciencias e Ingeniería

Los instructores son expertos en el campo y son bien conocidos por su trabajo

Requiere que los estudiantes tengan algunos conocimientos previos en matemáticas

Reviews summary

Solid pre-calculus foundation

This course functions well as an intro to calculus covering many of the foundational concepts that underly it. The course has a solid structure with a clear syllabus. Reviewers mentioned difficulty in some of the course material which suggests the course may not be a good fit for beginners.

Structured content with clear syllabus and progression of topics.

"Comprueba tu nivel de conocimientos matemáticos"

"La realización de estas pruebas es opcional y se pueden realizar tantas veces como sea necesario."

"La puntuación obtenida en ellas no formará parte de la evaluación final del curso."

May be challenging but appropriate for dedicated students.

"Muy buen curso, bastante dificil pero se puede lograr"

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Pre-Calculus with these activities:

Álgebra lineal para principiantes

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Revisar este libro de texto proporcionará una base sólida en álgebra lineal, que es esencial para el cálculo.

View Álgebra Lineal Ciencia de Datos on Amazon

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Leer el capítulo 1.
Completar los ejercicios de práctica al final del capítulo.
Repasar el material cubierto en el capítulo.

Tutoriales en línea de Khan Academy

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Completar tutoriales en línea proporcionados por Khan Academy ayudará a reforzar los conceptos fundamentales de matemáticas.

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Crear una cuenta en Khan Academy.
Navegar por los tutoriales de matemáticas.
Completar los módulos de los tutoriales.
Practicar los ejercicios proporcionados.

Resolución de ecuaciones algebraicas

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Practicar la resolución de ecuaciones algebraicas reforzará la comprensión de los conceptos fundamentales de álgebra.

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Resolver ecuaciones lineales de una variable.
Resolver ecuaciones cuadráticas por factorización.
Resolver ecuaciones polinomiales de grado mayor que 2 por descomposición.

Three other activities

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Derivación de funciones

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Practicar la derivación de funciones mejorará la comprensión de los conceptos de cambio y tasa de cambio.

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Calcular la derivada de funciones polinomiales.
Calcular la derivada de funciones exponenciales y logarítmicas.
Calcular la derivada de funciones trigonométricas.

Integración de funciones

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Practicar la integración de funciones mejorará la comprensión de los conceptos de área y volumen.

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Calcular la integral indefinida de funciones polinomiales.
Calcular la integral indefinida de funciones exponenciales y logarítmicas.
Calcular la integral indefinida de funciones trigonométricas.

Proyecto: Calculadora gráfica

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Crear una calculadora gráfica propia ayudará a solidificar la comprensión de las funciones y sus gráficas.

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Diseñar la interfaz de la calculadora.
Implementar las funciones básicas de la calculadora (suma, resta, multiplicación, división).
Implementar la capacidad de graficar funciones.
Añadir funciones avanzadas (cálculo de derivadas e integrales).

Career center

Learners who complete Pre-Calculus will develop knowledge and skills that may be useful to these careers:

Actuary

Actuaries use mathematical and statistical models to assess risk in insurance, finance, and other industries. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as financial mathematics and risk management, which are directly relevant to the work of an actuary.

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Operations Research Analyst

Operations research analysts use mathematical and statistical models to optimize business processes. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as linear programming and simulation, which are directly relevant to the work of an operations research analyst.

See salaries and explore the career path for Operations Research Analyst

Statistician

Statisticians use mathematical and statistical models to analyze data and make inferences. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as statistical methods and data analysis, which are directly relevant to the work of a statistician.

See salaries and explore the career path for Statistician

Researcher

Researchers use mathematical and statistical models to analyze data and solve problems in a variety of fields. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as research methods and data analysis, which are directly relevant to the work of a researcher.

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Financial Analyst

Financial analysts use mathematical and statistical models to analyze financial data and make investment recommendations. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as financial mathematics and portfolio management, which are directly relevant to the work of a financial analyst.

See salaries and explore the career path for Financial Analyst

Quantitative Analyst

Quantitative analysts use mathematical and statistical models to analyze financial data and make investment recommendations. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as financial mathematics and risk management, which are directly relevant to the work of a quantitative analyst.

See salaries and explore the career path for Quantitative Analyst

Biostatistician

Biostatisticians use statistical methods to analyze data in the field of medicine and public health. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as biostatistics and epidemiology, which are directly relevant to the work of a biostatistician.

See salaries and explore the career path for Biostatistician

Market Researcher

Market researchers use mathematical and statistical models to analyze market data and make marketing recommendations. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as market research and consumer behavior, which are directly relevant to the work of a market researcher.

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Data Scientist

Data scientists use mathematical and statistical models to analyze data and extract insights. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as data mining and machine learning, which are directly relevant to the work of a data scientist.

See salaries and explore the career path for Data Scientist

Software Engineer

Software engineers use mathematical and statistical models to design and develop software applications. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as software design and development, which are directly relevant to the work of a software engineer.

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Systems Analyst

Systems analysts use mathematical and statistical models to design and implement computer systems. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as systems analysis and design, which are directly relevant to the work of a systems analyst.

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Technical Writer

Technical writers use mathematical and statistical models to write technical documentation. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as technical writing and documentation, which are directly relevant to the work of a technical writer.

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Web Developer

Web developers use mathematical and statistical models to design and develop websites. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as web design and development, which are directly relevant to the work of a web developer.

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Teacher

Teachers use mathematical and statistical models to teach mathematics and statistics to students. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as teaching methods and curriculum development, which are directly relevant to the work of a teacher.

See salaries and explore the career path for Teacher

Business Analyst

Business analysts use mathematical and statistical models to analyze business data and make recommendations. This course provides a strong foundation in mathematics, including calculus, probability, and statistics, which are essential for success in this field. The course also covers topics such as business analysis and data mining, which are directly relevant to the work of a business analyst.

See salaries and explore the career path for Business Analyst