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Luis A. Hernández Arámburo
This course will allow you to use mathematical equations to describe and analyze certain problems that appear in the areas of business and finance. For example, it analyzes how the performance of an asset or distributing a product is modeled, how an optimization process is done in a portfolio or how aversion to risk can be described to an investor. Additionally, it will help you understand how certain algorithms are solved to analyze large amounts of data, make forecasts and describe trends. The course uses programming and simulation tools to convey the main concepts.
Read more
This course will allow you to use mathematical equations to describe and analyze certain problems that appear in the areas of business and finance. For example, it analyzes how the performance of an asset or distributing a product is modeled, how an optimization process is done in a portfolio or how aversion to risk can be described to an investor. Additionally, it will help you understand how certain algorithms are solved to analyze large amounts of data, make forecasts and describe trends. The course uses programming and simulation tools to convey the main concepts.
Read more
This course will allow you to use mathematical equations to describe and analyze certain problems that appear in the areas of business and finance. For example, it analyzes how the performance of an asset or distributing a product is modeled, how an optimization process is done in a portfolio or how aversion to risk can be described to an investor. Additionally, it will help you understand how certain algorithms are solved to analyze large amounts of data, make forecasts and describe trends. The course uses programming and simulation tools to convey the main concepts.
The course starts from the concept of function, that is the basis of mathematical modeling and allows identifying the relationship between a group of variables of interest. Different types of functions are analyzed , such as linear, polynomial and exponential functions, providing specific examples to the areas of finance and business. The concepts are supported with the help of packages such as R / Python or Matlab. In this way, interactive and visual learning is motivated, which in addition to transmitting mathematical concepts, establishes the bases to develop computational skills.
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What's inside
Learning objectives
- Understand the concept of function in mathematical modeling to identify the relationship between a group of variables of interest.
- Analyze the mathematical properties of the main functions used in business and finance.
- Design mathematical equations to describe and analyze problems in the areas of finance and business .
- Use specialized software to simulate a function.
- Understand the concept of function in mathematical modeling to identify the relationship between a group of variables of interest.
- Analyze the mathematical properties of the main functions used in business and finance.
- Design mathematical equations to describe and analyze problems in the areas of finance and business .
- Use specialized software to simulate a function.
Syllabus
Topic 1: Linear Functions
1.1 Geometric presentation of a linear equation. Linear interpolation. Slope concept.
1.2 First order difference equation. Introduction to simulation.
Read more
Syllabus
Topic 1: Linear Functions
1.1 Geometric presentation of a linear equation. Linear interpolation. Slope concept.
1.2 First order difference equation. Introduction to simulation.
Read more
Topic 2: Linear Algebra
2.1 Solution of simultaneous equations. Concept of a vector and a matrix.. Geometric representation.
2.2 Matrix operations. Characterization of the number of solutions in a system. Linear Transformation Concept.
Topic 3: Nonlinear functions
3.1 Polynomials and root determination. Concepts of Concavity and Convexity.
3.2 Exponential and Logarithmic Equations .
Topic 4: Infinitesimal calculus.
4.1 Concept of limit and derivation rules. Interpretation of the derivative as a measure of sensitivity.
4.2 Approach to nonlinear functions through Taylor series. Non-linear optimization and First Order Conditions.
Topic 5 : Financial Mathematics.
5 .1 Yield and Discount Rates, Geometric Series, Present Value Formulas,
5 .2 Calculation of Perpetuities, Annuities and IRR of a bond.
Good to know
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Know what's good ,
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possible dealbreakers
Explora el concepto de función en el modelado matemático, lo cual es estándar en las áreas de negocios y finanza
Enseña las propiedades matemáticas de las principales funciones utilizadas en negocios y finanzas, lo que ayuda a los estudiantes a comprender cómo se modelan los problemas en estas áreas
Desarrolla ecuaciones matemáticas y simulaciones para describir y analizar problemas en las áreas de finanzas y negocios, lo que ayuda a los estudiantes a desarrollar habilidades computacionales y de resolución de problemas
Incluye software especializado (R/Python/Matlab) para simular funciones, lo que proporciona a los estudiantes herramientas prácticas para resolver problemas y visualizar conceptos
Abarca una amplia gama de temas, desde funciones lineales hasta cálculo infinitesimal, lo que proporciona una base sólida en matemáticas aplicadas para negocios y finanzas
Requiere conocimientos previos en álgebra y cálculo, lo que puede ser una limitación para estudiantes sin estos fundamentos
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Save Introduction to Mathematics for Finance and Business to your list so you can find it easily later:
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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 Introduction to Mathematics for Finance and Business with these
activities:
Revise Pre-Calculus II
Show steps
Prepare for this course by refreshing mathematical knowledge related to matrices, determinants, and graphing.
Browse courses on
Precalculus
Show steps
-
Review matrix operations including addition, subtraction, multiplication, and inverses.
-
Practice finding determinants of matrices of various sizes.
-
Analyze the graphs of quadratic functions and conic sections.
Repasando cálculo infinitesimal
Show steps
Repasar los conceptos básicos de cálculo infinitesimal te permitirá fortalecer tu base matemática y comprender mejor los conceptos de optimización y análisis de tendencias en finanzas y negocios.
Show steps
-
Revisa los conceptos de límites, derivadas e integrales.
-
Resuelve problemas de práctica para reforzar tu comprensión.
-
Aplica tus conocimientos a ejemplos financieros y empresariales.
Simulando funciones con software especializado
Show steps
Aprender a utilizar software especializado para simular funciones te permitirá visualizar y analizar comportamientos matemáticos complejos, mejorando tu comprensión de las funciones y su aplicación en finanzas y negocios.
Browse courses on
R
Show steps
-
Selecciona un software especializado como R, Python o Matlab.
-
Sigue tutoriales y documentación para aprender las funciones básicas del software.
-
Practica simulando diferentes tipos de funciones y analizando sus resultados.
Show all three activities
Revise Pre-Calculus II
Show steps
Prepare for this course by refreshing mathematical knowledge related to matrices, determinants, and graphing.
Browse courses on
Precalculus
Show steps
Show steps
Show steps
- Review matrix operations including addition, subtraction, multiplication, and inverses.
- Practice finding determinants of matrices of various sizes.
- Analyze the graphs of quadratic functions and conic sections.
Repasando cálculo infinitesimal
Show steps
Repasar los conceptos básicos de cálculo infinitesimal te permitirá fortalecer tu base matemática y comprender mejor los conceptos de optimización y análisis de tendencias en finanzas y negocios.
Show steps
Show steps
Show steps
- Revisa los conceptos de límites, derivadas e integrales.
- Resuelve problemas de práctica para reforzar tu comprensión.
- Aplica tus conocimientos a ejemplos financieros y empresariales.
Simulando funciones con software especializado
Show steps
Aprender a utilizar software especializado para simular funciones te permitirá visualizar y analizar comportamientos matemáticos complejos, mejorando tu comprensión de las funciones y su aplicación en finanzas y negocios.
Browse courses on
R
Show steps
Show steps
Show steps
- Selecciona un software especializado como R, Python o Matlab.
- Sigue tutoriales y documentación para aprender las funciones básicas del software.
- Practica simulando diferentes tipos de funciones y analizando sus resultados.
Show all three activities
Career center
Learners who complete Introduction to Mathematics for Finance and Business will develop knowledge and skills
that may be useful to these careers:
Actuary
Actuary
Actuaries analyze the financial impact of future events, such as death or disability, by applying mathematical and statistical principles. They may develop and price insurance policies, or they may work in other areas of risk management, such as healthcare or finance. This course in Introduction to Mathematics for Finance and Business would provide a strong foundation for an aspiring actuary, as it covers topics such as linear and nonlinear functions, calculus, and financial mathematics.
Business Analyst
Business Analyst
Business analysts use data and analytics to identify business needs and develop solutions. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring business analysts, as it covers topics such as functions, calculus, and data analysis. The course would help business analysts develop the skills they need to understand the data they are working with and to develop effective solutions.
Data Scientist
Data Scientist
Data scientists use data and analytics to solve business problems. They may work in a variety of industries, such as finance, healthcare, or retail. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring data scientists, as it covers topics such as functions, calculus, and data analysis. The course would help data scientists develop the skills they need to understand the data they are working with and to develop effective solutions.
Financial Analyst
Financial Analyst
Financial analysts provide investment advice to individuals and institutions. They may also work in other areas of finance, such as portfolio management or risk management. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring financial analysts, as it covers topics such as functions, calculus, and financial mathematics. The course would help financial analysts develop the skills they need to understand the financial markets and to provide sound investment advice.
Investment Banker
Investment Banker
Investment bankers help companies raise money by issuing securities. They may also advise companies on mergers and acquisitions. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring investment bankers, as it covers topics such as functions, calculus, and financial mathematics. The course would help investment bankers develop the skills they need to understand the financial markets and to provide sound investment advice.
Loan Officer
Loan Officer
Loan officers evaluate loan applications and determine whether or not to approve them. They may also work in other areas of banking, such as customer service or retail banking. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring loan officers, as it covers topics such as functions, calculus, and financial mathematics. The course would help loan officers develop the skills they need to understand the financial markets and to make sound lending decisions.
Operations Research Analyst
Operations Research Analyst
Operations research analysts use mathematical and analytical techniques to solve business problems. They may work in a variety of industries, such as manufacturing, transportation, or healthcare. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring operations research analysts, as it covers topics such as functions, calculus, and data analysis. The course would help operations research analysts develop the skills they need to understand the business problems they are working on and to develop effective solutions.
Portfolio Manager
Portfolio Manager
Portfolio managers manage investment portfolios for individuals and institutions. They may also work in other areas of finance, such as wealth management or financial planning. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring portfolio managers, as it covers topics such as functions, calculus, and financial mathematics. The course would help portfolio managers develop the skills they need to understand the financial markets and to make sound investment decisions.
Quantitative Analyst
Quantitative Analyst
Quantitative analysts use mathematical and statistical models to analyze financial data. They may work in a variety of industries, such as investment banking, hedge funds, or asset management. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring quantitative analysts, as it covers topics such as functions, calculus, and data analysis. The course would help quantitative analysts develop the skills they need to understand the financial markets and to develop effective investment strategies.
Risk Manager
Risk Manager
Risk managers identify and assess risks to a company's financial health. They may also develop and implement strategies to mitigate those risks. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring risk managers, as it covers topics such as functions, calculus, and financial mathematics. The course would help risk managers develop the skills they need to understand the financial markets and to make sound risk management decisions.
Securities Trader
Securities Trader
Securities traders buy and sell securities for clients. They may also work in other areas of finance, such as investment banking or asset management. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring securities traders, as it covers topics such as functions, calculus, and financial mathematics. The course would help securities traders develop the skills they need to understand the financial markets and to make sound investment decisions.
Statistician
Statistician
Statisticians collect, analyze, and interpret data. They may work in a variety of industries, such as healthcare, education, or government. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring statisticians, as it covers topics such as functions, calculus, and data analysis. The course would help statisticians develop the skills they need to understand the data they are working with and to develop effective solutions.
Tax Accountant
Tax Accountant
Tax accountants prepare and file tax returns for individuals and businesses. They may also advise clients on tax planning and compliance. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring tax accountants, as it covers topics such as functions, calculus, and financial mathematics. The course would help tax accountants develop the skills they need to understand the tax code and to provide sound tax advice.
Teacher
Teacher
Teachers instruct students in a variety of subjects, such as math, science, or English. They may work in public or private schools, or they may work in other settings, such as museums or community centers. This course in Introduction to Mathematics for Finance and Business would be beneficial for aspiring teachers, as it would help them understand the mathematical concepts they are teaching.
Web Developer
Web Developer
Web developers design and develop websites. They may also work in other areas of IT, such as software development or database administration. This course in Introduction to Mathematics for Finance and Business would be may be useful for aspiring web developers, as it covers topics such as functions and calculus. The course would help web developers develop the skills they need to understand the mathematical concepts that are used in web development.
For more career information including salaries, visit:
OpenCourser.com/course/pao78b/introduction
Reading list
We've selected nine 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
Introduction to Mathematics for Finance and Business.
Ofrece una introducción completa a las matemáticas utilizadas en finanzas, incluyendo el cálculo, las estadísticas y el álgebra lineal.
Save
Offers an accessible introduction to the mathematical techniques used in derivative pricing, including calculus, stochastic processes, and numerical methods.
Provides a comprehensive overview of quantitative methods used in business decision-making, including statistics, forecasting, and optimization.
Covers a wide range of mathematical topics relevant to business, including algebra, calculus, statistics, and operations research.
Save
Este libro se centra en el uso de las matemáticas en el campo de las finanzas. Cubre temas como el valor del dinero en el tiempo, la teoría de portfolios y la gestión de riesgos.
Proporciona una introducción accesible a los conceptos matemáticos utilizados en negocios y economía.
Este libro se centra en las ecuaciones diferenciales y sus aplicaciones en diversos campos, incluidas las finanzas. Proporciona una base teórica sólida para comprender los modelos dinámicos utilizados en el análisis financiero.
Este libro proporciona una introducción a los conceptos estadísticos y sus aplicaciones en economía y negocios. Es una lectura complementaria valiosa para comprender el uso de los datos y las técnicas estadísticas en el análisis financiero y empresarial.
Este libro cubre los conceptos y técnicas de la econometría, que es esencial para analizar datos económicos y empresariales. Es una lectura valiosa para aquellos interesados en utilizar técnicas estadísticas avanzadas en el análisis financiero y empresarial.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/pao78b/introduction
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Effort
5 to 8 hours per week for 5 weeks
Level
Advanced
Via
edX
Institution
Tecnológico de Monterrey
Instructor
Luis A. Hernández Arámburo
Session
April 15, 2024
- April 20, 2025
Language
Español
Transcript
English
This course belongs to a
collection
called
Essential quantitative business skills. It's comprised of three courses:
- Financial information and its analysis
- Introduction to Mathematics for Finance and Business (viewing)
- Introduction to Data Science and Basic Statistics for Business
Good to know
Explora el concepto de función en el modelado matemático, lo cual es estándar en las áreas de negocios y finanza
Enseña las propiedades matemáticas de las principales funciones utilizadas en negocios y finanzas, lo que ayuda a los estudiantes a comprender cómo se modelan los problemas en estas áreas
Desarrolla ecuaciones matemáticas y simulaciones para describir y analizar problemas en las áreas de finanzas y negocios, lo que ayuda a los estudiantes a desarrollar habilidades computacionales y de resolución de problemas
Incluye software especializado (R/Python/Matlab) para simular funciones, lo que proporciona a los estudiantes herramientas prácticas para resolver problemas y visualizar conceptos
Abarca una amplia gama de temas, desde funciones lineales hasta cálculo infinitesimal, lo que proporciona una base sólida en matemáticas aplicadas para negocios y finanzas
Requiere conocimientos previos en álgebra y cálculo, lo que puede ser una limitación para estudiantes sin estos fundamentos
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