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Math Fundamentals

Derivatives

Santiago Moll López and José Antonio Moraño Fernández

This course is conceived as a review of the basic concepts of differential calculus, necessary for the first courses of those university studies where mathematics is taught. Our objective is to provide a basic course on functions and derivatives, including their applications.

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What's inside

Learning objectives

The concept of function and operations with functions.
The definition of derivative and its properties.
The calculation of maxima and minima of functions.

The maximum and minimum conditions.
In this course you will remember:

The concept of function and operations with functions.
The definition of derivative and its properties.
The calculation of maxima and minima of functions.
The maximum and minimum conditions.
In this course you will remember:

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Examines differential calculus, which is standard in mathematics

Taught by Santiago Moll López and José Antonio Moraño Fernández, who are recognized for their work in mathematics

Develops core skills for mathematics students

Covers topics highly relevant to mathematics courses

Could be taken before the first courses in mathematics

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Activities

Coming soon We're preparing activities for Math Fundamentals: Derivatives. These are activities you can do either before, during, or after a course.

Career center

Learners who complete Math Fundamentals: Derivatives will develop knowledge and skills that may be useful to these careers:

Financial Engineer

Financial engineers develop and apply mathematical models to financial problems. They use these models to price financial instruments, to manage risk, and to make investment decisions. This course can help you develop the quantitative skills you need to be successful in this role, including differential calculus, which is used to model financial markets and to calculate the risk and return of investments. In particular, the course's focus on maxima and minima can help you find the optimal investment strategies.

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Data Analyst

Data analysts use their knowledge of data analysis and data mining to extract insights from data. They use this information to improve business decisions and to develop new products and services. This course can help you develop the analytical skills you need to be successful in this role, including differential calculus, which is used to model complex data and to develop data mining algorithms. In particular, the course's focus on maxima and minima can help you find the optimal solutions to complex data analysis problems.

See salaries and explore the career path for Data Analyst

Quantitative Analyst

Quantitative analysts use their knowledge of mathematics, statistics, and computer science to develop and apply quantitative models to financial problems. They use these models to make investment decisions and to manage risk. This course can help you develop the quantitative skills you need to be successful in this role, including differential calculus, which is used to model financial markets and to calculate the risk and return of investments. In particular, the course's focus on maxima and minima can help you find the optimal investment strategies.

See salaries and explore the career path for Quantitative Analyst

Data Scientist

Data scientists use their knowledge of mathematics, statistics, and computer science to extract insights from data. They develop and apply machine learning algorithms to solve real-world problems. This course can help you develop the quantitative skills you need to be successful in this role, including differential calculus, which is used to model complex data and to develop machine learning algorithms. In particular, the course's focus on maxima and minima can help you find the optimal solutions to complex data science problems.

See salaries and explore the career path for Data Scientist

Actuary

Actuaries analyze the financial consequences of risk and uncertainty. They use mathematical and statistical models to assess the likelihood and impact of future events. This course can help you develop the quantitative skills you need to be successful in this role, including differential calculus, which is used to calculate the probability of events and to model financial outcomes. In particular, the course's focus on minima and maxima can help you find the optimal solutions to complex financial problems.

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Economist

Economists study the production, distribution, and consumption of goods and services. They use economic models to analyze economic issues and to make policy recommendations. This course can help you develop the quantitative skills you need to be successful in this role, including differential calculus, which is used to model economic systems and to predict economic outcomes. In particular, the course's focus on maxima and minima can help you find the optimal solutions to complex economic problems.

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Operations Research Analyst

Operations research analysts use mathematical and analytical methods to solve complex business problems. They develop and apply mathematical models to optimize operations and make decisions. This course can help you develop the quantitative skills you need to be successful in this role, including differential calculus, which is used to model complex systems and to find optimal solutions. In particular, the course's focus on maxima and minima can help you find the optimal solutions to complex operations research problems.

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Statistician

Statisticians collect, analyze, and interpret data. They use statistical methods to draw conclusions about populations from samples. This course can help you develop the quantitative skills you need to be successful in this role, including differential calculus, which is used to model the distribution of data and to make predictions. In particular, the course's focus on maxima and minima can help you find the optimal solutions to complex statistical problems.

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Investment Banker

Investment bankers advise corporations and governments on mergers and acquisitions, capital raising, and other financial transactions. They use their knowledge of finance and economics to analyze deals and to make recommendations. This course can help you develop the analytical skills you need to be successful in this role, including differential calculus, which is used to model financial markets and to calculate the risk and return of investments. In particular, the course's focus on maxima and minima can help you find the optimal investment strategies.

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Risk Manager

Risk managers identify, assess, and manage risks. They develop and implement risk management strategies to protect organizations from financial losses and other adverse events. This course can help you develop the analytical skills you need to be successful in this role, including differential calculus, which is used to model risks and to calculate the likelihood and impact of adverse events. In particular, the course's focus on maxima and minima can help you find the optimal risk management strategies.

See salaries and explore the career path for Risk Manager

Financial Analyst

Financial analysts use their knowledge of finance and economics to make investment recommendations. They analyze financial data and trends to identify undervalued or overvalued assets. This course can help you develop the analytical skills you need to be successful in this role, including differential calculus, which is used to model financial markets and to calculate the risk and return of investments. In particular, the course's focus on maxima and minima can help you find the optimal investment strategies.

See salaries and explore the career path for Financial Analyst

Business Analyst

Business analysts use their knowledge of business and technology to analyze and solve business problems. They develop and implement solutions that improve efficiency and profitability. This course can help you develop the analytical skills you need to be successful in this role, including differential calculus, which is used to model business processes and to optimize business decisions. In particular, the course's focus on maxima and minima can help you find the optimal solutions to complex business problems.

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Market Researcher

Market researchers collect and analyze data to understand customer needs and preferences. They use this information to develop marketing strategies and products. This course can help you develop the analytical skills you need to be successful in this role, including differential calculus, which is used to model consumer behavior and to predict market trends. In particular, the course's focus on maxima and minima can help you find the optimal marketing strategies.

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Computer Scientist

Computer scientists research and develop new computer technologies. They use their knowledge of computer science and mathematics to create new algorithms and software. This course may help you develop the mathematical skills you need to be successful in this role, including differential calculus, which is used to model complex systems and to develop efficient algorithms. In particular, the course's focus on maxima and minima can help you find the optimal solutions to complex computer science problems.

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Software Engineer

Software engineers design, develop, and maintain software systems. They use their knowledge of computer science and mathematics to create software that meets the needs of users. This course may help you develop the mathematical skills you need to be successful in this role, including differential calculus, which is used to model complex systems and to develop efficient algorithms. In particular, the course's focus on maxima and minima can help you find the optimal solutions to complex software engineering problems.

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Reading list

We've selected 23 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Math Fundamentals: Derivatives.

NIST Handbook of Mathematical Functions Paperback...