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  • About YSU
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  • Structure
    • YSU Faculties and Educational Centers
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      • Faculty of Theology
      • Faculty of Oriental Studies
      • Faculty of European Languages and Communication
      • Faculty of Journalism
      • Faculty of Informatics and Applied Mathematics
      • Faculty of Law
      • Faculty of Biology
      • Faculty of Armenian Philology
      • Faculty of International Relations
      • Faculty of History
      • Institute of Physics
      • Faculty of Russian Philology
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      • Faculty of Economics and Management
      • Faculty of Philosophy and Psychology
      • Faculty of Chemistry
      • Faculty of Mathematics and Mechanics
      • Pedagogy and Education Development Center
      • Center for European Studies
      • Institute of Pharmacy
      • Information Technologies Educational and Research Center
      • Chair of Civil Defense
      • Chair of Physical Education and Sports
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      • YSU STEM High School
      • YSU Ijevan Branch
    • Scientific Centers and Laboratories
      • American Studies Center
      • Center for Mathematical and Applied Research
      • Institute for Armenian Studies
      • Institute for Social and Humanitarian Studies
      • Research Center for Chemistry
      • Research Institute of Biology
      • Research Institute of Physics
      • Research Center for the Institute of Pharmacy
    • Scientific and Educational Centers
      • Observatory
      • Scientific and Educational Center for Control and Monitoring of the Quality of Medicines
      • Specialized cabinet-laboratory for the Design of Very Large Integrated Circuits (Synopsis)
      • Legal Clinic
      • Center for Applied Psychology
      • Research Center-Library of Greek Studies
      • Innovation Center for Microbial Biotechnology and Biofuels
      • Russian Center
      • Center for Russian Studies
      • Distance Learning Laboratory of Sociology
    • Column Wrapper
      • Banner
    • Administrative Divisions of YSU
      • Academic Secretary
      • Center for Doctoral Education
      • General Division
      • YSU History Museum
      • Department of Energy System Operation
      • Financial Analysis Department
      • Human Resources Department
      • Center for Admissions and Affairs with Applicants
      • Vehicle Fleet
      • Business Incubator
      • Byurakan Industrial Practice Base
      • Medical Center
      • Science Policy Department
      • Procurement Planning Department
      • Dilijan Sports and Health Center
      • YSU Archive
      • Publishing House
      • Legal Service
      • Marketing Department
      • International Cooperation Office
      • Tsaghkadzor training and production base
      • Cultural Center
      • Fire Safety Service
      • Alumni and Career Center
      • Hankavan Industrial Practice Base
      • Accounting Department
      • Center for Quality Assurance
      • Department for Special Affairs
      • Guest House
      • Student Dormitory
      • Educational-Methodological Department
      • Marie and Sarkis Izmirlian Library
      • Center for Strategic Planning
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  1. Main
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  3. Faculty of Mathematics and Mechanics
  4. Applied Statistics and Data Science
  5. Admission

Applied Statistics and Data Science

Master's programme
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Admission Questionnaire of the M/AS&DS Programme, 2024

Admission requirements are available here.  

YSU Department of Mathematics and Mechanics
YSU - ISTC Joint Master Program
Applied Statistics and Data Science
Entrance Exam Material Coverage

1․ CALCULUS
1. Continuous functions and their properties: Intermediate Value Theorem (Cauchy in-termediate value theorem), Extreme Value Theorem (Weierstrass theorem)
2. Big-O and small-o notations
3. Differentiation of a univariate function: differentiation rules, the derivative of elementary functions, the derivative of a composite function (the chain rule); Mean Value Theorem (Lagrange Mean Value Theorem); Monotonicity; Extrema of functions, necessary and sufficient conditions; Tangent lines; Derivative of the inverse function
4. L’Hôpital’s rule, Convexity, Curve Sketching
5. Indefinite Integrals: List of Elementary Integrals; Integration by Parts and Substitution
6. Definite Integrals: Fundamental Theorem of Calculus (Newton-Leibnitz Formula), Calculation of areas and volumes by integrals;
7. Improper Integrals
8. Numerical and functional series, Convergence tests; Positive and Alternating series; Absolute and Conditional convergence; Power Series, Taylor series
9. Multivariate Calculus: The Rn space; Partial Derivatives, the chain rule; Tangent planes; Unconstrained Optimization; Constrained Optimization and Lagrange Multipliers
10. Double Integrals; Jacobians, change of Variable in Double Integral


Bibliography
You can use any of your favorite Calculus (Mathematical Analysis) books or online materials. Say, some suggestions are:
• Stewart J., Calculus, 8th edition, 2016
• Fikhtengolts G., Differential and Integral Calculus Course, in 3 parts, 10th edition, 2016 (in Russian)

2․ LINEAR ALGEBRA
1. Systems of Linear Equations, Gaussian elimination;
2. Vectors in Rn, Linear combinations, Linear Dependence and Independence; Bases in Vector Spaces and Dimension;
3. Matrices, operations with Matrices, the determinant of a square Matrix, Inverse of a square Matrix; Rank of a Matrix; Eigenvalues and Eigenvectors;
4. Linear Transformations
5. Lines and Planes in R2 and R3 spaces

Bibliography
Here again, you can use any of your favorite Linear Algebra books or online materials. Say, some suggestions are:
• Strang G., Introduction to Linear Algebra, 5th edition, 2016
• Strang G., Linear Algebra, MIT Course, MIT OpenCourseWare
• Poole D., Linear Algebra: A Modern Introduction, 4th edition, 2014

3․ PROBABILITY THEORY
1. Probability Measure and its properties
2. Discrete Probability Spaces: Experiments with Equally Likely Outcomes, Combinatorial Probability Problems, Geometric Probabilities;
3. Conditional Probabilities; The Total Probability Formula and the Bayes Formula;
4. Random Variables: The Cumulative Distribution Function (CDF) and the Probability
5. Density (Mass) Function (PD(M)F); Calculation of probabilities using the CDF or the
6. PD(M)F;
7. Some Well-Known Distributions: Bernoulli and Binomial Distributions; Geometric
8. and Poisson Distribution; Uniform Distribution; Exponential Distribution and the
9. Normal (Gaussian) Distribution
10. Expectation and Variance of a random variable: Calculation of the Expected value
11. and the Variance through PD(M)F
12. Transformations of Random Variables
13. Joint Distribution of Random Variables, Joint CDF and Joint PD(M)F
14. Independent RVs, Covariance and Correlation Coefficient
15. Chebyshev Inequality, The Law of Large Numbers and the Central Limit Theorem

Bibliography Here again, you can use any of your favorite Probability books or online materials. Some suggestions are:
• Ross Sh., A First Course in Probability, 9th edition, 2014
• Shiryaev A., Probability, 5th edition, 2011 (in Russian)

4․ PROGRAMMING AND ALGORITHMIC THINKING
No specific Programming Language will be required. You can use any of the Standard Languages (like C/C++/C#, Java or Python).
1. Basic Data Types and Structures
2. Loops and Conditionals
3. Functions

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