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B.Sc. Applied Mathematics
The Mathematics department thrives as a vibrant community comprising scholars, educators, and learners. Its tenured and tenure-track faculty members embody a diverse range of mathematical research domains. Collaboratively, the faculty, along with lecturers and graduate instructors, deliver a comprehensive selection of courses designed for students across various levels of mathematical proficiency
Course Structure
Learning takes place through a combination of face-to-face teaching and independent study, including lectures, practical tutorials, laboratory sessions, personal development sessions, real-life project briefs and case studies.
Students study 60 ECTS credits per year. The structure of the course is a subject to change by feedback received from a variety of sources.
| First Year | ||||
|---|---|---|---|---|
| Semester | Course Code | Course | Course Type | ECTS Credits |
| Semester 1 | MATH111 | Calculus 1 | Core | 6 |
| MATH221 | Discrete Mathematics | Core | 6 | |
| CS102 | Computer Programming 1 | Core | 8 | |
| HASS101 | Academic and Communication Skills 1 | Core | 6 | |
| HASS100 | First Principles of NewUU | Core | 6 | |
| Semester 2 | MATH211 | Calculus 2 | Core | 6 |
| MATH201 | Linear Algebra | Core | 6 | |
| CS210 | Computer Programming 2 | Core | 8 | |
| DSG101 | Creative Thinking and Design | Elective | 6 | |
| HASS111 | Academic and Communication Skills 2 | Core | 6 | |
| Total Credits | 64 | |||
| Second Year | ||||
| Semester | Course Code | Course | Course Type | ECTS Credits |
| Semester 3 | MATH222 | Calculus 3 | Core | 6 |
| MATH202 | Advanced Linear Algebra | Core | 6 | |
| MATH232 | Probability and Statistics | Core | 6 | |
| PHYS101 | Physics 1 | Core | 8 | |
| CS111 | Algorithms & Data Struсtures | Core | 6 | |
| Semester 4 | MATH250 | Topology | Elective | 6 |
| MATH270 | Abstract Algebra | Elective | 6 | |
| MATH241 | Ordinary Differential Equations | Core | 6 | |
| HASS110 | History of Uzbekistan | Core | 4 | |
| PHYS111 | Physics 2 | Core | 8 | |
| Total Credits | 62 | |||
| Third Year | ||||
| Semester | Course Code | Course | Course Type | ECTS Credits |
| Semester 5 | MATH311 | Partial Differential Equations | Core | 6 |
| MATH390 | Composing Scientific Texts | Core | 6 | |
| MATH303 | Game Theory | Core | 6 | |
| MATH321 | Introduction to Number Theory and Cryptography | Core | 6 | |
| CS212 | Design & Analysis of Algorithms | Elective | 6 | |
| Semester 6 | MATH233 | Optimization Theory | Core | 6 |
| MATH313 | Numerical Analysis | Core | 6 | |
| MATH305 | Complex Analysis | Core | 6 | |
| HASS305 | Philosophy | Core | 6 | |
| TBD | Technical Elective | Elective | 6 | |
| Total Credits | 60 | |||
| Fourth Year | ||||
| Semester | Course Code | Course | Course Type | ECTS Credits |
| Semester 7 | MATH406 | Functional Analysis | Core | 6 |
| CS321 | Theory of Computation | Elective | 6 | |
| MATH402 | Combinatorial Analysis | Core | 6 | |
| TBD | Technical Elective | Elective | 6 | |
| GRAD490 | Graduation Project 1 / Internship 1 | Core | 8 | |
| Semester 8 | MATH403 | Basic Algebraic Geometry | Elective | 6 |
| MATH414 | Advanced Probability Theory and Statistics | Elective | 8 | |
| HASS200 | Communications Ethics | Core | 6 | |
| TBD | Technical Elective | Elective | 6 | |
| GRAD491 | Graduation Project 2 / Internship 2 | Core | 8 | |
| Total Credits | 66 | |||
| Program's Total Credits | 252 | |||
Course Descriptions
| Course Code | Course | ECTS Credits | Description |
|---|---|---|---|
| MATH111 | Calculus 1 | 6 | This is the first course from a sequence of 3 calculus courses. It deals with limits, continuity, differentiation and integration, applications of the derivative to determine the shape of graphs, evaluation of limits by the L’Hôpital Rule, finding the maximum and the minimum values of functions along with the problems of finding rates. The course ends with the introduction of indefinite and definite integrals, integration by parts, u-substitution, trigonometric substitution, integration of rational functions, improper integrals and applications to area problems. |
| MATH221 | Discrete Mathematics | 6 | Sometimes known as Mathematics for Computer Science, this course covers elementary discrete mathematics emphasizing on mathematical definitions and proofs as well as applicable methods. Topics included are formal logic notation, proof methods; naive set theory and functions; induction, recursive definitions and structural induction; algorithms and asymptotic notation and growth of functions, divide-and-conquer algorithms; permutations and combinations, counting principles; relations; elementary graph theory. |
| CS102 | Computer Programming 1 | 8 | Introduction to Programming with C++ is a foundational course designed to provide students with a comprehensive understanding of programming concepts and techniques using the C++ programming language. This course serves as an entry point for students interested in pursuing further studies in computer science, software engineering, or related fields. Through a combination of lectures, hands-on programming exercises, and projects, students will develop essential programming skills and problem-solving abilities.Throughout the course, students will work on programming assignments and projects to apply the concepts learned in class. These assignments will progressively increase in complexity, allowing students to build their programming skills and confidence. By the end of the course, students will have a solid foundation in programming with C++ and be prepared to tackle more advanced topics in computer science and software development. |
| HASS101 | Academic and Communication Skills 1 | 6 | This course is designed to help students improve their English language skills at an intermediate level. It focuses on developing speaking, listening, reading, and writing skills using materials from National Geographic Learning and Cengage Learning. |
| HASS100 | First Principles of NewUU | 6 | This course equips first-year students with the knowledge, skills, and attitudes necessary for success in higher education at New Uzbekistan University (NEWUU). It introduces students to the role and purpose of higher education, university governance, and academic policies, while fostering information literacy, academic integrity, and ethical reasoning. Through weekly themes, students will practice time management, effective study strategies, reading and note-taking, as well as develop critical, analytical, and creative thinking skills. The course also emphasizes digital literacy and responsible engagement with emerging technologies such as AI, alongside communication, teamwork, and intercultural competence. By exploring NEWUU's academic programs and career pathways, students will be encouraged to connect their studies with long-term personal and professional goals. Ultimately, the course integrates foundational knowledge of institutional expectations with transferable skills in problem-solving, innovation, and communication, preparing students for responsible, resilient, and successful participation in academic and societal life. |
| MATH211 | Calculus 2 | 6 | This is the second course from a sequence of 3 calculus courses. It deals with numerical series and sequences, parametric equations and polar coordinates, scalars functions of several variable and double integrals. Special focus on tests convergence/divergence of series and optimization. |
| MATH201 | Linear Algebra | 6 | This course provides an introduction to fundamental concepts in linear algebra, including solving linear systems using Gauss-Jordan elimination and other methods, matrix operations, and linear transformations. Students will explore inverse matrices, image and kernel, basis and dimension, and coordinate representations in vector spaces. The course covers orthonormal bases, the Gram-Schmidt process, QR factorization, determinants, eigenvalues, eigenvectors, and matrix diagonalization. Applications to dynamical systems, including complex eigenvalues, will also be discussed. Through theoretical study and practical exercises, students will develop problem-solving skills essential for various fields. |
| CS210 | Computer Programming 2 | 8 | A course focused on teaching students the principles of object-oriented programming, including concepts such as classes, objects, inheritance, polymorphism, and encapsulation. Through hands-on coding exercises, students learn how to design and implement robust, modular software solutions using object-oriented techniques. |
| DSG 101 | Creative Thinking and Design | 6 | Creative Thinking and Design is a dynamic course that equips students with essential skills to become innovative thinkers and problem solvers. It cultivates a mindset embracing creativity, experimentation, and interdisciplinary collaboration. Students explore fundamental principles of creative thinking, including techniques to overcome innovation barriers, stimulate idea generation, and enhance problem-solving. Early weeks focus on theoretical frameworks. The course then introduces practical design thinking applications, emphasizing the creative process stages, empathy, and user-centered solutions through lectures and discussions. In the second half, hands-on workshops provide experience with cutting-edge technologies such as robotics, 3D printing, and UX/UI design, fostering experimentation. The course culminates in integrative group projects where students collaborate to develop innovative solutions incorporating robotics, 3D printing, and UX/UI design, while demonstrating teamwork and persuasive presentation skills. By the end, students gain a robust toolkit of creative thinking and design skills, enabling them to confidently tackle complex problems and contribute to innovation-driven fields. |
| HASS111 | Academic & Communication Skills 2 | 6 | This course is designed to enhance students' academic communication, critical thinking, and collaborative skills through a range of activities, including workshops, presentations, debates, and writing assignments. Emphasizing cultural awareness, ethical decision-making, and effective use of technology, the course prepares learners to engage with diverse perspectives and navigate complex global challenges. Students will develop proficiency in crafting articulate messages, analyzing issues critically, and working collaboratively in teams. Key components include TED Talk-style presentations, analytical writing, critique writing, and debates, which foster a growth mindset and adaptability. By the end of the course, students will demonstrate advanced communication skills, cultural sensitivity, and the ability to make informed decisions in various academic and professional contexts. |
| MATH222 | Calculus 3 | 6 | This is the final course from a sequence of 3 calculus courses. Topics generalize topics appears in Calculus 1,2 and are more related to the practical materials. In the first half, we continue the theoretic study of our multivariable calculus in Calculus. In the second half, more application of the multivariable calculus will be involved. A brief p Fourier series and its application will also be included. |
| MATH232 | Probability and Statistics | 6 | This comprehensive course in Probability and Statistics introduces fundamental concepts and analytical methods with a focus on real-world applications. It is structured to provide students with a deep understanding of statistical reasoning, data analysis, and predictive modeling, emphasizing the application of these concepts across various engineering disciplines. Through a combination of theoretical lectures, hands-on tutorial sessions, and computer-based exercises using Python, students will explore topics including descriptive statistics, probability theories, discrete and continuous distributions, hypothesis testing, regression analysis, and nonparametric methods. The course is designed to foster analytical thinking, problem-solving skills, and proficiency in statistical software, preparing students for data-driven decision-making in their respective fields. |
| PHYS101 | Physics 1 | 8 | Physics 1 offers an introductory exploration of classical physics principles. Covering mechanics, basic thermodynamics and waves, this course builds a foundational understanding of the physical laws that govern our world. Through lectures, discussions, and hands-on labs, students develop analytical and problem-solving skills. Starting with kinematics, dynamics, and energy conservation, topics progress to universal gravitation, planetary motion, and thermodynamics. Wave behavior is studied, including mechanical vibrations, sound waves, and practical wave phenomena. Labs enable students to apply theory to real-world experiments, honing practical abilities. Physics 1 also highlights physics' everyday relevance and technological applications. By course end, students grasp classical physics' essentials, priming them for advanced studies and fostering critical thinking about the natural world. |
| CS111 | Algorithms & Data Struсtures | 6 | During this course students learn basics of data structures - how to build complex data structures(heap, graph, etc.) using primitive data types that they already know. In this course, students also learn math (proofs and complexities) behind algorithms and understand the difference. Also students gain hands on experience by solving problems such as sorting or finding a shortest path in a graph. |
| MATH241 | Ordinary Differential Equations | 6 | This course introduces ordinary differential equations, covering solutions to first- and higher-order equations, power series solutions, Laplace transforms, linear and non-linear systems, and applications. Topics include first-order equations (linear, separable, autonomous, exact; existence and uniqueness; numerical methods; applications), higher-order equations (homogeneous linear with constant coefficients; nonhomogeneous using undetermined coefficients and variation of parameters; applications), equations with variable coefficients (Cauchy-Euler; power series about ordinary and singular points), Laplace transforms (existence, uniqueness, linearity; inverse transforms; theorems for derivatives, integrals, shifting, step and delta functions; convolution; transfer and impulse response; applications), systems of linear differential equations (homogeneous and nonhomogeneous first-order; reduction of higher-order to normal form; matrix methods; autonomous systems; trajectories and phase portraits), and non-linear systems (trajectories of autonomous systems; stability of critical points; linearization; applications). |
| HASS110 | History of Uzbekistan | 4 | This course introduces foundation year students to the basic concepts and principles of history, in particular contemporary of Uzbekistan. The course is to provide students with an opportunity to acquire basic knowledge of historical understanding, history as a subject, its logics, foundation of statehood, state formation, latest reforms and policy in Uzbekistan. |
| PHYS111 | Physics 2 | 8 | Physics 2 is the second course in a two-course sequence that provides a comprehensive introduction to the principles of physics. This course builds upon the concepts introduced in Physics 1 and covers a wide range of topics in electricity and magnetism, optics, and modern physics. The course begins with an introduction to electrostatics, including Coulomb's Law, electric fields, and electric potential. Students will learn about capacitance, electric circuits, and the properties of conductors and insulators. The course will then cover magnetism, including magnetic fields, magnetic forces, and magnetic induction. In the second part of the course, students will learn about wave optics, including interference, diffraction, and polarization. The course will then introduce modern physics, covering topics such as special relativity, quantum mechanics, and nuclear physics. |
| MATH311 | Partial Differential Equations | 6 | An introduction to the theory and methods of solving partial differential equations, with applications to physics and engineering. Topics include first-order PDEs, classification of second-order PDEs, separation of variables, Fourier series and transforms, Green's functions, and numerical methods. |
| MATH321 | Introduction to Number Theory and Cryptography | This course introduces elementary number theory and its role in modern cryptography. Number theory studies the additive and multiplicative structures of the integers and the solutions of equations involving them, while cryptography provides methods for secure communication. We will develop the mathematical foundations—divisibility, the Euclidean algorithm, prime numbers and the Fundamental Theorem of Arithmetic, congruences, Sunzi’s Theorem, Fermat’s Little Theorem, Euler’s Theorem, Euler’s phi function, and discrete logarithms—and see how these ideas underpin cryptographic systems such as RSA and ElGamal. By the end of the course, students will be able to explain and deduce classical results in number theory and apply them to the design and analysis of cryptographic systems. | |
| CS212 | Design & Analysis of Algorithms | 6 | A course where students learn to develop efficient algorithms for solving computational problems and analyze their performance. Through theoretical study and practical exercises, students gain insights into algorithm design paradigms, complexity analysis, and strategies for solving various types of problems, preparing them to tackle real-world challenges in computer science and related fields. |
| MATH305 | Complex Analysis | An introduction to the theory of complex functions, covering analytic functions, Cauchy’s integral theorem, power series representations, Laurent series, residue theorem, and conformal mappings. Applications to real integrals and potential theory are explored. |
|
| HASS305 | Philosophy | 6 | This course will introduce you to the Western philosophical tradition through the study of thinkers such as Plato, Aristotle, Descartes, Hume, Kant, and others. Students will grapple with questions that have been significant to philosophy from its beginnings: Questions about the nature of the mind, the foundations of knowledge, and the good life. They will also observe changes in intellectual outlook over time, and the effect of scientific, religious, and political concerns on the development of philosophical ideas. |
| CS321 | Theory of Computation | 6 | This course emphasizes computability and computational complexity theory. Topics include regular and context-free languages, decidable and undecidable problems, reducibility, recursive function theory, time and space measures on computation, completeness, hierarchy theorems, inherently complex problems, oracles, probabilistic computation, and interactive proof systems. |
| GRAD490 | Graduation Project 1 / Internship 1 | 8 | GRAD490 It is a major contributing component to the Bachelor's degree classification. The GRAD is a summative assessment of a student’s attainment in the Program Learning Objectives, i.e. how good you are as a New Uzbekistan University graduate. It is an opportunity for a student to integrate all the knowledge accumulated through the four years of study. At the same time, the student must demonstrate his or her competencies in joining professionals worldwide; or demonstrate satisfactory research potentials to further their careers in research. |
| HASS200 | Communications Ethics | 6 | This discipline introduces students to the fundamental questions of moral philosophy, with attention to classic and contemporary readings. (What is it to be a good human being, and to act morally? How do we decide what morality demands of us in some situation?) It also addresses some issues of current moral debate. The course will consist of lectures, discussion of case studies, analysis of literature and film, and extensive student participation. A better understanding of the nature of the right and the good, ethical character, agency, and philosophy's methods in acquiring this understanding. This course will also develop analytical skills (reading, writing, thinking, argumentation) that will benefit students in their other courses. Upon completing this course, students will better understand the nature of the right and the good, ethical character, agency, and the methods of philosophy. |
| GRAD491 | Graduation Project 2 / Internship 2 | 8 | The Graduation Project is conducted through the GRAD491 course and serves as a comprehensive evaluation of students’ achievement of program learning outcomes, assessing their performance as NewUU graduates. It allows students to consolidate and apply knowledge acquired over their studies and demonstrate readiness for the global community or research careers. Research topics are assigned according to GRAD491 regulations: supervisors distribute topics, students apply for their preferences, and approval requires agreement between the supervisor and teaching staff. Students without an agreed topic are assigned one to ensure balanced supervision. Work proceeds according to a planned schedule with supervisor meetings to monitor progress and provide guidance. Assessment consists of monthly progress reports, an oral presentation, and a final thesis, evaluated by the supervisor and an evaluation committee. |
Entry requirements
1. High school/Lyceum/College diploma or higher
2. Proof of English Language Proficiency:
- - TOEFL iBT 46 or higher
- Note: We accept only the TOEFL iBT taken at approved test centers. We do not accept the TOEFL iBT Home Edition.
- - IELTS 5.5 or higher
- - CEFR B2
- - Exemptions (with a minimum pass mark) from the TOEFL, IELTS or CEFR are given for students who have one of the following equivalents:
| 1. International Baccalaureate Diploma |
| Grade 4 in English A at Higher or Standard Level in the International Baccalaureate Diploma |
| Grade 4 in English B at Higher Level in the International Baccalaureate Diploma |
| Grade 5 in English B at Standard Level in the International Baccalaureate Diploma |
| 2. Pearson Edexcel International GCSE English Language |
| Grade 4 in Pearson Edexcel International GCSE English Language A (External assessment from 2018) |
| Grade 4 in Pearson Edexcel International GCSE English Language B (External assessment from 2018) |
| Grade 4 in Pearson Edexcel International GCSE English Literature (External assessment from 2019) |
| 3. GCSE English Language |
| Grade D in GCSE English Language or GCSE English Literature |
| 4. GCE O-Level English Language |
| Grade D in GCE O-Level English Language |
| 5. GCE A-Level/AS-Level in English Language |
| Grade D in GCE A-Level/AS-Level in English Language or English Language & Literature |
| 6. IGCSE English as a First Language |
| Grade D in the IGCSE English as a First Language. Speaking must be separately endorsed on the certificate |
| 7. IGCSE English as a Second Language |
| Grade D in the IGCSE English as a Second Language. Speaking must be separately endorsed on the certificate |
| 8. Pearson test of English (PTE) - Academic |
| Grade 59 |
| 9. Cambridge C1 Advanced (formerly Cambridge English: Advanced/CAE) |
| Grade 162 |
| 10. Cambridge C2 Proficiency (formerly Cambridge English: Proficiency/CPE) |
| Grade 162 |
| 11. Cambridge B2 First (formerly Cambridge English: First/FCE) |
| Grade 162 |
Note: If your English proficiency test certificate is not yet available, please upload it via your personal account no later than July 13, 2026.
Entrance Exam
- - Math & Logical Thinking - minimum pass mark is 50
- - Exemptions from the Math & Logical Thinking are given for students who have one of the following equivalents:
Please use the online equivalency calculator above to see the equivalency of your score to Math & Logical Thinking exam scores.
You can also check the equivalent of your score to the Math & Logical Thinking entrance exam scores using the table below.
| International certificate score (Math section) | New Uzbekistan University Entrance Exam Score (in percentage) |
|---|---|
| SAT | |
| 800 | 100 |
| 790 | 90 |
| 780 | 85 |
| 770 | 80 |
| 760 | 75 |
| 750 | 70 |
| 740 | 65 |
| 730 | 60 |
| 720 | 55 |
| 650 – 710 | 50 |
| International Baccalaureate (IB) | |
| 7 | 100 |
| 6 | 90 |
| 5 | 70 |
| 4 | 50 |
| International AS & A Levels | |
| A* | 100 |
| A | 90 |
| B | 80 |
| C | 70 |
| D | 60 |
| E | 50 |
Graduation Requirements
Students will be allowed to graduate upon completion of all requirements listed below:
- - Students must have a minimum 2.00 GPA/CGPA at the end of their final semester;
- - Student must have a minimum of 240 ECTS or as designated in Handbook;
- - Students must successfully complete all University and Program requirements;
- - Students cannot have any outstanding Incompletes or IP grades on their transcripts;
- - Student must complete all degree requirements within 7 (seven) years including any leave periods, of the initial program registration date.
Fees and funding:
| Tuition Fee for 2025/2026 Academic Year | |
|---|---|
| Local students | 30 000 000 UZS per academic year |
| International students | $ 4 500 USD per academic year |
Scholarships
We are committed to supporting our students’ educational journeys through a variety of scholarship opportunities. Scholarships at New Uzbekistan University are categorized into two main types: 1-Year Scholarships and 4-Year Scholarships.
Career / Job opportunities
As a math major, you can use the knowledge you have gained to find a valuable role working in finance, analytics or other research-related fields. People with a more sophisticated understanding of mathematics—be it numbers, statistics or the overall ability to solve complex problems—are typically highly regarded skill holders. You might start out as:
Mathematics teacher - Math teachers work in elementary, middle or high school academic institutions to teach students different mathematical subjects. Other responsibilities include creating lesson plans, establishing and assigning homework and preparing students for standardized testing.
Purchasing agent - A purchasing agent buys various goods and materials for companies to use, manufacture or resell for their business. They research and compare products from different suppliers to determine which are the best value for their company to buy. Other responsibilities include taking inventory, negotiating product contracts and managing the overall delivery of goods.
Accountant - Accountants review the financial records of a business and analyze financial reports, tax returns and other accounting data to ensure the company stays in strong financial status. They regularly run reports that monitor a company's spending and provide suggestions for improvements to help the company stay financially stable.
Financial planner - A financial planner works with clients to help them better manage their money and develop an effective financial strategy. They help clients set financial goals, assess any potential financial risks and build their retirement and investment plans.
Cost estimator - Cost estimators project expenses for various projects or services a company is hoping to spend money on. They work with clients and vendors to determine exact pricing and review project blueprints to accurately estimate the price and length of time for each project. Cost estimators compile their research and information into expenditure statements and pitch their estimates to management.
