SPARK
YOUR
LIGHT

UNDERGRADUATE · SCHOOL OF COMPUTING AND ARTIFICIAL INTELLIGENCE

Bachelor of Science
in Mathematics

A four-year, 240 ECTS program building rigorous mathematical foundations and modern applications across science, engineering and quantitative fields.

4 yearsDuration240 ECTSTotal creditsEnglishLanguageFull-timeOn campus · Astana
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PROGRAM OVERVIEW

Think rigorously. Solve broadly.

The program combines core courses, advanced mathematics electives and technical electives. Students develop analytical, problem-solving and quantitative skills while exploring areas aligned with their academic and career interests.

The flexible curriculum supports deeper study in pure mathematics, applied mathematics, statistics and financial mathematics. Non-mathematics electives create opportunities to explore other disciplines and pursue a minor.

Upper-level research-oriented work prepares graduates for quantitative careers and further study in mathematics, statistics and related fields.

KEY ADVANTAGES

Flexible, deep and research-led

01

Strong foundation

Calculus, algebra, differential equations, probability, statistics and analysis.

02

Flexible curriculum

42 ECTS of mathematics electives with advanced 400-level study.

03

Four focus areas

Pure, applied, statistical and financial mathematics.

04

Research experience

Research-oriented courses, projects and an optional capstone.

05

Computing & data

Numerical methods, modelling, programming, analytics and optimization.

06

Interdisciplinary

Connect mathematics with science, economics, engineering and more.

PROGRAM AIMS

What alumni are prepared to achieve

  1. Solve research and real-world problems using mathematics, science and critical thinking.
  2. Lead through collaboration and professional interaction with diverse stakeholders.
  3. Contribute independently or in multidisciplinary organizations in industry, academia or government.
  4. Recognize the potential and limits of scientific processes and respond responsibly to professional values and conflicts.

WHAT YOU WILL LEARN

From proof to prediction

Foundations

Calculus, linear algebra, differential equations, discrete mathematics and abstract algebra.

Probability & statistics

Uncertainty, inference, regression, experiments and time-series analysis.

Mathematical modelling

Real-world problems in science, engineering and finance.

Optimization & computing

Numerical algorithms, statistical programming and optimization.

Advanced mathematics

Topology, cryptography, stochastic processes, finance and PDEs.

Research thinking

Rigorous arguments, proofs, analysis and communication of findings.

SHAPE YOUR MATHEMATICAL FOCUS

Four directions, one rigorous core

01

Pure Mathematics

Algebra, analysis, topology, number theory and Lie groups.

02

Applied Mathematics

Differential equations, numerical methods, optimization and mathematical biology.

03

Statistics & Data

Probability, regression, experimental design, time series and programming.

04

Financial Mathematics

Actuarial mathematics, mathematical finance and stochastic calculus.

CURRICULUM · YEAR 1

Foundations and academic core

Fall · 32 ECTS

Calculus I 8

AI, Data & Digital Literacy 6

Kazakhstan in the World 6

English for Academic Purposes 6

Kazakh Language 6

Spring · 26 ECTS

Calculus II 8

Technical Elective 1 6

Academic Writing, Science Communication & Media Literacy 6

Sustainability, Climate & Socio-Economic Transitions 6

Curriculum shown as published by SCAI. The listed semester totals add up to 242 ECTS, while the programme overview states 240 ECTS. Year 3 includes unspecified “XXX” core-course groups. Confirm the approved course selection and credits for your intake.
Official curriculum and module descriptions ↗

CURRICULUM · YEAR 2

Core mathematical language

Fall · 34 ECTS

Calculus III 8

Linear Algebra with Applications 8

Discrete Mathematics 6

Kazakh Language 6

General Elective 2 6

Spring · 30 ECTS

Probability 6

Introduction to Differential Equations 6

Ethics 6

Open Box Course 6

Technical Elective 2 6

CURRICULUM · YEAR 3

Advanced study and research methods

Fall · 30 ECTS

Two MATH courses 12

Major Elective 1 6

Major Elective 2 6

Innovation, Entrepreneurship & Creative Problem Solving 6

Spring · 30 ECTS

Two advanced courses 12

Major Elective 3 6

Major Elective 4 6

MATH 350 — Research Methods 6

CURRICULUM · YEAR 4

Specialisation and research

Fall · 30 ECTS

Research-oriented course 6

Major Elective 5 6

Major Elective 6 6

Major Elective 7 6

General Elective 3 6

Spring · 30 ECTS

Research-oriented course 6

General Elective 4 6

General Elective 5 6

General Elective 6 6

Technical Elective 3 6

MATHEMATICS ELECTIVES · 1 / 4

Build your own
advanced pathway

MATH 301Introduction to Number TheoryMATH 310Applied Statistical MethodsMATH 323Actuarial Mathematics IMATH 371Introduction to Mathematical BiologyMATH 403Abstract Algebra IIMATH 407Graph TheoryMATH 411Linear ProgrammingMATH 412Nonlinear Optimization

Current SCAI elective list and course descriptions ↗

MATHEMATICS ELECTIVES · 2 / 4

Explore probability,
data and finance

MATH 417CryptographyMATH 423Actuarial Mathematics IIMATH 424Mathematical FinanceMATH 425Stochastic ProcessesMATH 440Regression AnalysisMATH 441Design of ExperimentsMATH 446Time Series AnalysisMATH 449Statistical Programming

Current SCAI elective list and course descriptions ↗

MATHEMATICS ELECTIVES · 3 / 4

Go deeper into
mathematical analysis

MATH 455Stochastic CalculusMATH 456Introduction to Lie Groups and RepresentationsMATH 460TopologyMATH 461Real Analysis IIMATH 462Advanced Linear AlgebraMATH 471Nonlinear Differential EquationsMATH 476Numerical Methods for Partial Differential EquationsMATH 477Applied Finite Element Methods

Current SCAI elective list and course descriptions ↗

MATHEMATICS ELECTIVES · 4 / 4

Research your
next question

MATH 480Complex AnalysisMATH 481Partial Differential EquationsMATH 482Fourier AnalysisMATH 490Special Topics in Mathematics IMATH 491Special Topics in Mathematics IIMATH 497Directed Study in Mathematics IMATH 498Directed Study in Mathematics IIMATH 499Capstone Project

Current SCAI elective list and course descriptions ↗

LEARNING OUTCOMES

Graduate able to reason and prove

  1. Solve technical and scientific problems using mathematics and science.
  2. Design systems, processes, procedures or programs for defined needs.
  3. Test hypotheses, analyse data and draw scientific conclusions.
  4. Communicate effectively with varied audiences.
  5. Understand ethical responsibilities and the wider impact of solutions.
  6. Work effectively in teams managing goals, deadlines, risk and uncertainty.
  7. Understand mathematical statements and reproduce or develop rigorous proofs.

CAREER OPPORTUNITIES

Turn mathematical thinking into impact

Applied MathematicianData ScientistStatistician / Data AnalystQuantitative AnalystOptimization AnalystMathematical Modelling SpecialistScientific Computing SpecialistFinancial / Risk AnalystActuarial AnalystResearch AssistantMathematics EducatorTechnology & AnalyticsFinance & InsuranceResearch & DevelopmentGovernment & Public Sector

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