Welcome

Wellcome to my official webpage. My name is Mercedes Orús-Lacort, Msc in Mathematics from the Autonomous University of Barceloma since 1988.

I have 12 years of experience in the IT sector, where I worked for the software development company Wolters Kluver (formerly A3 Software) from September 1988 to November 2000, performing the following tasks:

·        Project Manager (in Development Projects Department).   

·        Administrator and installer of the company's internal LAN.      

·        Trainer of new projects in my area, both to internal personnel of the company and external distributors. 

·        Personnel selection for the project development

From November 2000 I was working in Academic field as a Lecturer, Senior Statistician, and writer of several textbooks and Researcher: 

·   I have experience as a Mathematics Lecturer, having taught mathematics for university students (subjects: Mathematical Analysis, Calculus, Algebra, Descriptive and Inferential  Statistics, Applied Multivariate Statiscal Analysis, Logic, Discrete Mathematics, Diffentisl Equations, Sthocastic Process and Psycometry).

·   Since 2008 I have written several textbooks which are available in Spanish universities and other countries internationally. This books are addressed to help students in many subjects: Linear Algebra, Mathematical Analysis (also called Calculus), Logic, Stochastic Processes, Descriptive and Inferential Statistics, Applied Multivariate Statistical Analysis, Psycometry, Fermat last Theorem, Fermat Equation over other fields and other mathematical conjectures. For more information: You can find all the information by consulting: my ORCID: http://orcid.org/0000-0002-3534-1863, or Worldcat (worldwide collective catalog) https://search.worldcat.org/es/search?q=mercedes+Orús+lacort&limit=10&offset=21, or Rebiun (Spanish collective catalog) https://www.rebiun.org/, or KVK - Karlsruhe Virtual Catalog Metasearch engine.

 

·       I develop Statistics Data Analysis Reports for professionals working in any sector. Reports to describe the current situation, to analyze possible similarities or not in data depending on other variables, and also with advanced multivariate statistical tools which allow to make  predictions and build optimal scenarios with a confidence level up to 95% and close to 99%. 

·      Since 2008 I am working also in research. I have published some articles on mathematics and other technologies related to Artificial Intelligence. You can see more information in my ORCID: http://orcid.org/0000-0002-3534-1863

Additionally, I have recorded many Courses Videos, which I will show to you bellow, as well as my text books.

If you need help to better understand Statistics, or Linear Algebra, or Calculus, you can choose manu options:

• You can contact me for Online Private Lessons.
• You can acquire a video course.
• You can acquire some of my books.
• I can help you as a Statistician helping you with statistical reports for your Data Analysis.

To have more information about me and how I am as a Mathematics Lecturer, you can visit my LinkedIn profile, or to see my page Learning Mathematics and more, where you will find some videos about me and about interesting mathematical findings.

For more information about Online Private Lessons, please press here: CONTACT ME

For more information about the course videos of Statistics, please press here: COURSE VIDEOS.

For more information about course videos related with Linear Algebra, please press here: COURSE VIDEOS.

For more information about course videos related with Calculus, please press here: COURSE VIDEOS.

For more information about my Books related to these topics: please press here: TEXT BOOKS.

Do not hesitate to contact me by email to m.oruslacort@gmail.com or using the Contact Form if you need any further information.     

Courses Videos for Statistics, Linear Algebra and Calculus

 

Course Video related with Statistics

Are you needing help with Statistics?, or are you interested in acquire extra knowledge on Powerful Data Analysis Advanced Techniques?, or would you like to know how your Data could be analyzed?.

If your answer is yes, then I can recommend you these Course Videos, available in English or Spanish.

These videos, were recorded to show the different statistical techniques available for enhancing Data Analysis. They contain Descriptive Techniques, Inferential Techniques and Applied Multivariate Techniques. 

You will find many videos on:

1. Descriptive Statistics.

2. Confidence Interval for a sample mean and sample proportion.
3. Hypothesis test for one sample mean and also for one proportion.
4. Hypothesis test for two qualitative variables: Chi-Square test.
5. Hypothesis tests for two sample means from a non-paired samples and for paired samples.
6. Hypothesis tests for more than two samples using ANOVA.
7. Simple regression models.
8. Multiple regression models.
9. Principal Components Analysis.
10. Cluster Analysis.
11. Simple Correspondence Analysis.
12. Multiple Correspondence Analysis.

Here you have just a few minutes of one these videos:

In English: "Cluster Analysis"

In Spanish: "Análisis de Correspondencias Simple y Múltiple"

The complet video course is available at 300€.

If  interested please contact me and I will provide the required course payment details. You will then gain access to your chosen course(s). Important: A Gmail address is necessary to follow these courses, so remember to add your Gmail email address in the Contact Formulary. 

Course Video related with Linear Algebra

Are you needing help with Linear Algebra?.

If your answer is yes, then I can recommend these courses videos, available in English or Spanish.

These Course Videos, were compiled as an introduction and outline to the basis of Quantum Computing.

You will find videos to refresh your concepts on Linear Algebra related with:

1. Matrices: 

    ·        What is a matrix?

    ·        Matrix properties
    ·        How to work with them?

2. Linear system Equations: 
    

    ·        How to classify them?
    ·        How to solve them?

3. Vectors: 

    ·        Vector concept 
    ·        How to prove if they are linear independent or not

4. Vector Spaces: 

    ·        Concept 
    ·        What is it a basis?
    ·        How to find the basis?
    ·        How to change the basis to work with these new basis

5. Linear Transformations between two vector spaces: 

    ·        Concept 
    ·        How to find the associated Matrix to a linear transformation 
    ·        What is a subspace vector? 
    ·        What are the Kernel and Image subspaces?

6.- Diagonalization of an Endomorphism: 

    ·        How to diagonalize the matrix associated to a linear transformation 
    ·        Why it is important to work with a diagonal matrix?

 Here you have just a few minutes of one these videos:

 In English: Diagonalization Endomorphism

In Spanish: Diagonalización Endomorfismos

The complete video course is available at 300€.

If  interested please contact me and I will provide the required course payment details. You will then gain access to your chosen couse(s). Important: A Gmail address is necessary to follow these courses, so please inform your Gmail email address in the Contact Formulary.

Course Video related with Calculus

Are you needing help with Calculus concepts or also called Mathematical Analysis?. 

If your answer is yes, then I can recommend these courses videos, available in English or Spanish.

You will find videos related with:

 1.      Limits: 

•     Concept of limit.
•     How to solve Indeterminations.

2.   Sequences:

•     Definition of a sequence of numbers.
•     Sequence bounded.
•     Monotonous increasing or decreasing.
•     When a sequence is convergent.

3.  Series:

•     Definition of a series of real numbers. 
•     Definition of partial sums. 
•     When a series is convergent or not. 

4.      Functions: 

•     Continuity. 
•     Differentiability. 
•     Maximum and minimum. 
•     Increasing and decreasing intervals. 
•     Concavity and Convexity.

5.      Integral functions: 

•     Immediate and non-immediate. 
•     Integration by parts method. 
•     Integration by change of variable method. 
•     Calculation of areas. 
•     Improper integral. 
•     Fundamental Theorem of Calculus.

Here you have just a few minutes of one these videos: 

In English: Fundamental Theorem of Calculus

In Spanish: Teorema Fundamental Cálculo

The complete video course is available at 300€.

If  interested please contact me and I will provide the required course payment details. You will then gain access to your chosen couse(s). Important: A Gmail address is necessary to follow these courses, so please inform your Gmail email address in the Contact Formulary.

My Textbooks

Books related with Statistics, Linear Algebra and Calculus  

These books are not dedicated theorical books. They focus on exercises and contain practical solved cases.

Descriptive and Inferential Statistics: 

In this book you will find theory as summaries, and solved exercises, on the following topics: Descriptive Statistics, Confidence Intervals and Test Hypothesis for means, proportions and variances for one sample, Chi Square Test, Test Hypothesis for means, proportions and variances, for one, two or more samples, and Simple Linear Regression Model. Statistical software such as SPSS, Minitab, or R Commander programs have been used to Analize Data. Also in some cases they have been solved by using Microsoft Excel, and also manually using in this case the theory concepts and formulas explained in each summary chapter.

You can acquire this work on the Editor Website or in any bookstore. For more information about these books, please click on any of the following links:

Applied Multivariate Statistical Analysis:

 

In this book theory is shown as summaries and Dara Analyzed, on the following topics: Multiple Linear Regression, Principal Component Analysis (without and with Varimax rotation), Analysis of Hierarchical Cluster, Discriminant Analysis, and Single and Multiple Correspondence Analysis. Software packagew, have been used in the resolution of analysis.

You can acquire this work on the Editor Website or in any bookstore. For more information about these books, please click on any of the following links:

Linear Algebra:

 

In this book you will find summaries of theory and exercises solved, of the following topics: Matrices, Resolution of Linear Systems Equations, Vector Spaces, Linear Transformations, Diagonalization of endomorphism, and Bilinear and Quadratic Forms. 

You can acquire this work on the Editor Website or in any bookstore. For more information about these books, please click on any of the following links:

Calculus:

In this book you will find summaries of theory and exercises solved, of the following topics: Real Numbers, Complex Numbers, Basic Topology, Sequences, Series, Functions:Limits and Continuity, Differential Calculus, and Riemann Integral. 

You can acquire this work on the Editor Website or in any bookstore. For more information about these books, please click on any of the following links:

If you want to take a look at all my books, please press here: 

       

Contact Formulary

You can contact me using my email address m.oruslacort@gmail.com or with the Contact Form.

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