DEPARTMENT OF MATHEMATICS UNDERGRADUATE CURRICULUM
(To be implemented as of 2023-2024 Fall Semester)

FIRST YEAR

First Semester
MATH 101 PreCalculus (2-0)NC / ECTS:2
MATH 111 Analytic Geometry (3-0)3 / ECTS:5
MATH 131 Fundamentals of Mathematics (4-2)5 / ECTS:7
MATH 151 Calculus I (4-2)5 / ECTS:7
PHYS 101 General Physics I (2-2)3 / ECTS:6
ENG 101 Development of Reading and Writing Skills I (3-0)3 / ECTS:3

Total Credit: 19 / Total ECTS: 30

Second Semester
MATH 132 Introduction to Discrete Mathematics (3-2)4 / ECTS:6
MATH 152 Calculus II (4-2)5 / ECTS:7
CENG 113 Programming Basics (3-2)4 / ECTS:6
PHYS 102 General Physics II (2-2)3 / ECTS:6
ENG 102 Development of Reading and Writing Skills II (3-0)3 / ECTS:3
GCC 101 Career Planning and Development (2-0)NC / ECTS:2

Total Credit: 19 / Total ECTS: 30

SECOND YEAR

Third Semester
MATH 251 Vector Analysis (4-2)5 / ECTS:6
MATH 257 Differential Equations (4-0)4 / ECTS:6
MATH 261 Linear Algebra I (3-2)4 / ECTS:8
HIST 201 Principles of Atatürk I (2-0)NC / ECTS:2
TURK 201 Turkish Language I (2-0)NC / ECTS:2
Technical Elective (3-0)3 / ECTS:5
Non-Technical Elective (3-0)3 / ECTS:3

Total Credit: 19 / Total ECTS: 30

Fourth Semester
MATH 202 Scientific Computing (2-2)3 / ECTS:6
MATH 252 Analysis (4-0)4 / ECTS:6
MATH 262 Linear Algebra II (3-2)4 / ECTS:6
HIST 202 Principles of Atatürk II (2-0)NC / ECTS:2
TURK 202 Turkish Language II (2-0)NC / ECTS:2
Technical Elective (3-0)3 / ECTS:5
Non-Technical elective (3-0)3 / ECTS:3

Total Credit: 17 / Total ECTS: 30

THIRD YEAR

Fifth Semester
MATH 355 Partial Differential Equations (3-2)4 / ECTS:8
MATH 361 Abstract Algebra (4-2)5 / ECTS:10
Math Elective (3-0)3 / ECTS:6
Technical elective (3-0)3 / ECTS:6

Total Credit: 15/ Total ECTS: 30

Sixth Semester
MATH 332 Probability and Statistics (4-2)5 / ECTS: 8
MATH 352 Complex Analysis (4-2)5 / ECTS:10
Math Elective (3-0)3 / ECTS:6
Technical Elective (3-0)3 / ECTS:6

Total Credit: 15/ Total ECTS: 30

FOURTH YEAR

Seventh Semester
MATH 415 Mathematical Research Project I (2-0)NC / ECTS:15
Technical elective (3-0)3 / ECTS:6
Technical elective (3-0)3 / ECTS:6
A Non Technical elective (3-0)3 / ECTS:3

Total Credit: 9/ Total ECTS: 30

Eighth Semester
MATH 416 Mathematical Research Project II (2-0)NC / ECTS:15
Technical elective (3-0)3 / ECTS:6
Technical elective (3-0)3 / ECTS:6
A Non Technical elective (3-0)3 / ECTS:3
Total Credit: 9/ Total ECTS: 30

—————————-
Total Credit: 123
Total ECTS: 240

Mathematical Elective: Elective course from Mathematics Department

Technical Elective: Any course from the Departments of Engineering or Science Faculty

A Non Technical Elective: Any course from the Department of General Culture, School of
Foreign Languages or Faculty of Architecture

Core Courses
MATH 101 PreCalculus (2-0)NC / ECTS:2
MATH 111 Analytic Geometry (3-0)3/ECTS:5
MATH 131 Fundamentals of Mathematics (4-2)5 ECTS:7
MATH 132 Introduction to Discrete Mathematics (3-2)4 ECTS:6
MATH 151 Calculus I (4-2)5 ECTS: 7
MATH 152 Calculus II (4-2)5 ECTS: 7
MATH 202 Scientific Computing (2-2)3 ECTS:6
MATH 251 Vector Analysis (4-2)5 ECTS:6
MATH 252 Analysis (4-0)4 ECTS: 6
MATH 257 Differential Equations (4-0)4 ECTS: 6
MATH 261 Linear Algebra I (3-2)4 ECTS:6
MATH 262 Linear Algebra II (3-2)4 ECTS:6
MATH 332 Probability and Statistics (4-2)5 / ECTS: 8
MATH 352 Complex Analysis (4-2)5 ECTS: 10
MATH 355 Partial Differential Equations (3-2)4 ECTS: 8
MATH 361 Abstract Algebra (4-2)5 ECTS: 10
MATH 415 Mathematical Research Project I (2-0)NC ECTS: 15
MATH 416 Mathematical Research Project II (2-0)NC ECTS: 15

Elective Courses
MATH 200 Under Graduate Seminar (3-0)3 / ECTS:6
MATH 201 Introduction to Mathematical Programming (2-2)3 / ECTS:6
MATH 240 Analtical Mechanics (3-0)3 / ECTS:6
MATH 260 Math for Sustainability (3-0)3 / ECTS:3
MATH 301 Dynamical Systems (3-0)3 / ECTS:6
MATH 303 History Of Mathematical Concepts I (3-0)3 ECTS: 6
MATH 304 History Of Mathematical Concepts II (3-0)3 ECTS: 6
MATH 307 Introduction to Graph Theory (3-0)3 ECTS: 6
MATH 308 Introduction to Combinatorics (3-0)3 ECTS: 6
MATH 311 Coding Theory (3-0)3 ECTS: 6
MATH 312 Computational Mathematics and Algorithms (2-2)3 ECTS: 6
MATH 313 Introduction to Cryptography (3-0)3 ECTS:6
MATH 330 Trending Mathematical Algorithms (2-2)3 ECTS:6
MATH 333 Introduction to Mathematical Modeling (3-0)3 ECTS: 6
MATH 334 Introduction to Wavelets and Applications (3-0)3 ECTS: 6
MATH 335 Mathematical Image Debarring (3-0)3 ECTS: 6
MATH 338 Mathematics for Machine Learning (3-0)3 ECTS: 6
MATH 341 Advanced Mathematics Internship (0-6)3 ECTS: 6
MATH 342 Mathematics Internship (0-1)NC ECTS: 6
MATH 366 Number Theory (3-0)3 ECTS: 6
MATH 368 An Introduction to Mathematical Control Theory (3-0)3 ECTS: 6
MATH 372 Differential Geometry (3-0)3 / ECTS:8
MATH 381 Numerical Analysis (3-2)4 / ECTS:6
MATH 382 Numerical Analysis II (3-0)3 ECTS:6
MATH 385 Special Functions and Applied Mathematics (3-0)3 ECTS:6
MATH 386 Fluid Dynamics (3-0)3 ECTS: 6
MATH 387 An Introduction to Topology of Surfaces (3-0)3 ECTS: 6
MATH 389 Introduction to Commutative Ring Theory (3-0)3 ECTS: 6
MATH 401 Quantum Mechanics (3-0)3 ECTS: 6
MATH 403 Combinatorial Design theory (3-0)3 ECTS: 6
MATH 404 Quantum Cumputations and Information (3-0)3 ECTS: 6
MATH 405 Variational Analysis (3-0)3 ECTS: 6
MATH 406 Mathematics of Public Key Cryptography (3-0)3 ECTS: 6
MATH 407 Conformal Mappings (3-0)3 ECTS: 6
MATH 408 Advanced Topics in Graph Theory (3-0)3 ECTS: 6
MATH 409 Advanced Topics in Combinatorics (3-0)3 ECTS: 6
MATH 410 Green’s functions (3-0)3 ECTS: 6
MATH 411 Mathematical optimization (3-0)3 ECTS: 6
MATH 412 Hyperbolic geometry (3-0)3 ECTS: 6
MATH 413 Linear and Nonlinear Waves (3-0)3 ECTS: 6
MATH 414 Introduction to Integral Equations (3-0)3 ECTS: 6
MATH 422 Introduction to Abelian Groups (3-0)3 ECTS: 6
MATH 430 Contemporary Applications of Mathematics (2-2)3 ECTS: 6
MATH 432 Analysis of Symmetric Encryption and Hash Functions (3-0)3 ECTS: 6
MATH 440 Knot Theory and Its Applications (3-0)3 ECTS: 6
MATH 441 Introduction to Geometric Topology (3-0)3 ECTS: 6
MATH 443 Introduction to Analytic Number Theory (3-0)3 ECTS: 6
MATH 444 Introduction to Modules and Rings (3-0)3 ECTS: 6
MATH 445 Mathematical Aspects of Block Chain Technologies (3-0)3 ECTS: 6
MATH 446 Supplementary Curricular Courses (3-0)3 ECTS: 6
MATH 447 Entrepreneurship Education (3-0)3 / ECTS:6
MATH 450 Scale Invariance and Dimensional Analysis (3-0)3 ECTS: 6
MATH 451 Mathematics and Technology (3-0)3 ECTS: 6
MATH 452 Functional Analysis (3-0)3 ECTS: 6
MATH 453 Introduction to Generalized Functions (3-0)3 ECTS: 6
MATH 455 Control of Infinite Dimensional Systems (3-0)3 ECTS: 6
MATH 456 Galois Theory (3-0)3 ECTS: 6
MATH 481 Differential Equations with Numerical Methods (2-2)3 ECTS: 6
MATH 482 Numerical Solutions of Linear Integral Equations (3-0)3 ECTS: 6
MATH 499 Cooperative Education Course (0-12)6 ECTS: 6