Introduction to the Program

TECH puts in your hand the most complete compendium of contents in the field with a single purpose: To train you to make a sound use of Business Mathematics” 

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Why Study at TECH?

TECH is the world's largest 100% online business school. It is an elite business school, with a model based on the highest academic standards. A world-class centre for intensive managerial skills training.   

TECH is a university at the forefront of technology, and puts all its resources at the student's disposal to help them achieve entrepreneurial success"

At TECH Global University

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Innovation

The university offers an online learning model that combines the latest educational technology with the most rigorous teaching methods. A unique method with the highest international recognition that will provide students with the keys to develop in a rapidly-evolving world, where innovation must be every entrepreneur’s focus.

"Microsoft Europe Success Story", for integrating the innovative, interactive multi-video system.  
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The Highest Standards

Admissions criteria at TECH are not economic. Students don't need to make a large investment to study at this university. However, in order to obtain a qualification from TECH, the student's intelligence and ability will be tested to their limits. The institution's academic standards are exceptionally high...  

95% of TECH students successfully complete their studies.
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Networking

Professionals from countries all over the world attend TECH, allowing students to establish a large network of contacts that may prove useful to them in the future.  

100,000+ executives trained each year, 200+ different nationalities.
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Empowerment

Students will grow hand in hand with the best companies and highly regarded and influential professionals. TECH has developed strategic partnerships and a valuable network of contacts with major economic players in 7 continents.  

500+ collaborative agreements with leading companies.
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Talent

This program is a unique initiative to allow students to showcase their talent in the business world. An opportunity that will allow them to voice their concerns and share their business vision. 

After completing this program, TECH helps students show the world their talent. 
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Multicultural Context 

While studying at TECH, students will enjoy a unique experience. Study in a multicultural context. In a program with a global vision, through which students can learn about the operating methods in different parts of the world, and gather the latest information that best adapts to their business idea. 

TECH students represent more than 200 different nationalities.   
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Learn with the best

In the classroom, TECH teaching staff discuss how they have achieved success in their companies, working in a real, lively, and dynamic context. Teachers who are fully committed to offering a quality specialization that will allow students to advance in their career and stand out in the business world. 

Teachers representing 20 different nationalities. 

TECH strives for excellence and, to this end, boasts a series of characteristics that make this university unique:   

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Analysis 

TECH explores the student’s critical side, their ability to question things, their problem-solving skills, as well as their interpersonal skills.  

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Academic Excellence 

TECH offers students the best online learning methodology. The university combines the Relearning method (a postgraduate learning methodology with the highest international rating) with the Case Study. A complex balance between tradition and state-of-the-art, within the context of the most demanding academic itinerary.  

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Economy of Scale 

TECH is the world’s largest online university. It currently boasts a portfolio of more than 10,000 university postgraduate programs. And in today's new economy, volume + technology = a ground-breaking price. This way, TECH ensures that studying is not as expensive for students as it would be at another university.  

At TECH, you will have access to the most rigorous and up-to-date case studies in the academic community”

Syllabus

The syllabus for this Postgraduate certificate has been designed and created by a team of experts in the field to respond specifically to the needs of Business Science professionals. This compendium of content has also been designed with a focus on applied learning, which will allow professionals to successfully intervene by means of a broad vision of real environments in the profession. Thus, this syllabus will become our students' main asset to successfully insert themselves into a labor market that increasingly demands more specialized professionals in Business Mathematics. 

The most complete syllabus on the market with a single purpose: To prepare the best business administrators” 

Syllabus

Business Mathematics, understood as the process involved in identifying, extracting and adequately processing the continuous and dispersed data produced in an organization's environment, is an extremely important part of business management, as it helps to analyze and predict the future of the company and the decisions that must be taken to ensure its success with a higher rate of accuracy. 

For this reason, TECH professionals have designed this complete Postgraduate certificate that aims to provide business professionals with the methodologies and procedures that govern the operation of Business Mathematics, such as algebra, matrices, integrals, and others. This will empower our students to analyze various issues that directly concern business operations.  

Throughout the training, students will analyze a multitude of practical cases through individual practice and teamwork that will facilitate an in-depth understanding of the function of Business Mathematics. This complete immersion in real situations will provide our students with a more complete and effective vision of this area and will help them understand how these operations will become the main professional asset when analyzing and predicting the status of an organization with a higher rate of success.   

Further, the content included in this Postgraduate certificate in Business Mathematics is designed to develop skills that enable more rigorous decision-making in uncertain environments. This will enable professionals to make use of various fruitful and success-oriented mathematical operations. 

This Postgraduate certificate is takes place over six weeks and is divided into a single module: 

Module 1. Business Mathematics

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A unique, key, and decisive educational experience to boost your professional development and make the definitive leap"

Where, When and How is it Taught?

TECH offers the possibility of developing this Postgraduate certificate in Business Mathematics completely online. Over the course of 6 weeks, you will be able to access all the contents of this program at any time, allowing you to self-manage your study time.

Module 1. Business Mathematics

1.1. Basic Elements of Linear and Matrix Algebra

1.1.1. The Vector Space of IRn, Functions and Variables
1.1.2. Graphical Representation of Sets in R
1.1.3. Basic Concepts of Functions of Several Real Variables. Operations with Functions
1.1.4. Function Types
1.1.5. Weierstrass Theorem
1.1.6. Optimization with Inequality Constraints
1.1.7. Two-Variable Graphical Method
1.1.8. Function Types
1.1.9. Separate Variables
1.1.10. Polynomial Variables
1.1.11. Rational Variables
1.1.12. Quadratic Forms

1.2. Matrices: Types, Concepts and Operations

1.2.1. Basic Definitions
1.2.2. Matrix of Order m by n
1.2.3. Square Matrices
1.2.4. Identity Matrix
1.2.5. Matrix Operations
1.2.6. Matrix Addition
1.2.7. Scalar Multiplication
1.2.8. Matrix Multiplication

1.3. Transpose

1.3.1. Diagonalizable Matrix
1.3.2. Transpose Properties
1.3.3. Involution

1.4. Determinants: Calculation and Definition

1.4.1. The Concept of Determinants
1.4.2. Determinant Definition
1.4.3. Square Matrix of Order 2.3 and Greater Than 3
1.4.4. Triangular Matrices
1.4.5. Determinant of Triangular Matrices
1.4.6. Determinant of Non-Triangular Square Matrices
1.4.7. Properties of Determinants
1.4.8. Simplifying Calculations
1.4.9. Calculation in any Case

1.5. Invertible Matrices

1.5.1. Properties of Invertible Matrices
1.5.2. The Concept of Inversion
1.5.3. Definitions and Basic Concepts
1.5.4. Invertible Matrix Calculation
1.5.5. Methods and Calculation
1.5.6. Exceptions and Examples
1.5.7. Expression Matrices and Matrix Equations
1.5.8. Expression Matrices
1.5.9. Matrix Equations

1.6. Solving Systems of Equations

1.6.1. Linear Equations
1.6.2. Discussion of the System. Rouché–Capelli Theorem
1.6.3. Cramer's Rule: Solving the System
1.6.4. Homogeneous Systems
1.6.5. Vector Spaces
1.6.6. Properties of Vector Spaces
1.6.7. Linear Combination of Vectors
1.6.8. Linear Dependence and Independence
1.6.9. Coordinate Vectors
1.6.10. The Basis Theorem

1.7. Quadratic Forms

1.7.1. Concept and Definition of Quadratic Forms
1.7.2. Quadratic Matrices
1.7.3. Law of Inertia for Quadratic Forms
1.7.4. Study of the Sign by Eigenvalues
1.7.5. Study of the Sign by Minors

1.8. Functions of One Variable

1.8.1. Analysis of the Behavior of a Magnitude
1.8.2. Local Analysis
1.8.3. Continuity
1.8.4. Restricted Continuity

1.9. Limits of Functions, Domain and Image in Real Functions

1.9.1. Functions of Several Variables
1.9.2. Vector of Several Variables
1.9.3. The Domain of a Function
1.9.4. Concept and Applications
1.9.5. Function Limits
1.9.6. Limits of a Function at a Point
1.9.7. Lateral Limits of a Function
1.9.8. Limits of Rational Functions
1.9.9. Indeterminacy
1.9.10. Indeterminacy in Functions with Roots
1.9.11. Indetermination 0/0
1.9.12. The Domain and Image of a Function
1.9.13. Concept and Characteristics
1.9.14. Domain and Image Calculation

1.10. Derivatives: Behavior Analysis

1.10.1. Derivatives of a Function at a Point
1.10.2. Concept and Characteristics
1.10.3. Geometric Interpretation
1.10.4. Differentiation Rules
1.10.5. Derivative of a Constant
1.10.6. Derivative of a Sum or Differentiation
1.10.7. Derivative of a Product
1.10.8. Derivative of an Opposite Function
1.10.9. Derivative of a Compound Function

1.11. Application of Derivatives to Study Functions

1.11.1. Properties of Differentiable Functions 
1.11.2. Maximum Theorem
1.11.3. Minimum Theorem
1.11.4. Rolle's Theorem
1.11.5. Mean Value Theorem
1.11.6. L'Hôpital's Rule
1.11.7. Valuation of Economic Quantities
1.11.8. Differentiable Functions

1.12. Function Optimization for Several Variables

1.12.1. Function Optimization 
1.12.2. Optimization with Equality Constraint
1.12.3. Critical Points
1.12.4. Relative Extremes
1.12.5. Convex and Concave Functions
1.12.6. Properties of Convex and Concave Functions
1.12.7. Inflection Points
1.12.8. Growth and Decay

1.13. Antiderivatives

1.13.1. Antiderivatives
1.13.2. Basic Concepts
1.13.3. Calculation Methods
1.13.4. Immediate Integrals
1.13.5. Properties of Immediate Integrals
1.13.6. Integration Methods
1.13.7. Rational Integrals

1.14. Definite Integrals

1.14.1. Barrow's Fundamental Theorem
1.14.2. Definition of the Theorem
1.14.3. Calculation Basis
1.14.4. Applications of the Theorem
1.14.5. Curve Cutoff in Definite Integrals
1.14.6. Concept of Curve Cutoff
1.14.7. Calculation Basis and Operations Study
1.14.8. Applications of Curve Cutoff Calculation
1.14.9. Mean Value Theorem
1.14.10. Concept and Closed Interval Theorem
1.14.11. Calculation Basis and Operations Study
1.14.12. Applications of the Theorem

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A unique, key, and decisive experience to boost your professional development and make the definitive leap”

Postgraduate Certificate in Business Mathematics

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Business Mathematics is fundamental for the development and success of any company in today's world. Thanks to them, you can analyze and forecast trends, optimize processes and make decisions based on objective data. This Postgraduate Certificate in Business Mathematics aims to train business professionals in the mathematical tools and techniques necessary to carry out these tasks effectively. During the program, you will delve into algebra, matrices, integrals and other mathematical operations applied to business management.

Become an expert in Business Mathematics

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Through case studies presented by a highly recognized teaching staff and its innovative 100% online methodology, the Postgraduate Certificate in Business Mathematics will allow you to understand how these operations can be the key to business success. In addition, the development of decision-making skills in uncertain environments will be fostered, allowing you to be more effective in performing mathematical operations and more success-oriented.