Undergraduate Courses/Program

DEPARTMENT OF MATHEMATICS
UNDERGRADUATE CURRICULUM

FIRST YEAR

First Semester

MATH 131 Fundamentals of Mathematics I (3-0)3 / ECTS:7
MATH 151 Calculus I (4-2)5 / ECTS:8
CENG 111 Concepts in Computer Engineering (3-0)3 / ECTS:4
PHYS 101 General Physics I (2-2)3 / ECTS:6
PHYS 111 General Physics Lab. I (0-2)1 / ECTS:2
ENG 101 Development of Reading and Writing Skills I (3-0)3 / ECTS:3

Total Credit: 18 / Total ECTS: 30

Second Semester

MATH 132 Fundamentals of Mathematics II (3-0)3 / 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
PHYS 112 General Physics Lab. II (0-2)1 / ECTS:2
ENG 102 Development of Reading and Writing Skills II (3-0)3 / ECTS:3

Total Credit: 19 / Total ECTS: 30

SECOND YEAR

Third Semester

MATH 251 Vector Analysis (3-2)4 / ECTS:9
MATH 255 Differential Equations (4-0)4 / ECTS:6
MATH 261 Linear Algebra I (4-0)4 / ECTS:8
HIST 201 Principles of Atatürk I (2-0)NC / ECTS:2
TURK 201 Turkish Language I (2-0)NC / ECTS:2
Non-Technical Elective (3-0)3 / ECTS:3

Total Credit: 15 / Total ECTS: 30

Fourth Semester

MATH 202 Scientific Computing (2-2)3 / ECTS:6
MATH 240 Analtical Mechanics (3-0)3 / ECTS:5
MATH 252 Analysis (4-0)4 / ECTS:6
MATH 262 Linear Algebra II (4-0)4 / ECTS:6
HIST 202 Principles of Atatürk II (2-0)NC / ECTS:2
TURK 202 Turkish Language II (2-0)NC / ECTS:2
Non-Technical elective (3-0)3 / ECTS:3

Total Credit: 17 / Total ECTS: 30

THIRD YEAR

Fifth Semester

MATH 301 Dynamical Systems (3-0)3 / ECTS:6
MATH 355 Partial Differential Equations (4-0)4 / ECTS:6
MATH 361 Abstract Algebra (4-0)4 / ECTS:6
MATH 381 Numerical Analysis (4-0)4 / ECTS:6
Technical elective (3-0)3 / ECTS:6

Total Credit: 18/ Total ECTS: 30

Sixth Semester

MATH 352 Complex Analysis (4-2)5 / ECTS:10
MATH 372 Differential Geometry (3-0)3 / ECTS:8
Technical Elective (3-0)3 / ECTS:6
Technical Elective (3-0)3 / ECTS:6

Total Credit: 14/ Total ECTS: 30

FOURTH YEAR

Seventh Semester

MATH 415 Mathematical Research Project I (5-0)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 (5-0)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: 119
Total ECTS: 240

 

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 131 Fundamentals of Mathematics I (3-0)3 ECTS: 7
MATH 132 Fundamentals of Mathematics II (3-0)3 ECTS: 6
MATH 151 Calculus I (4-2)5 ECTS: 8
MATH 152 Calculus II (4-2)5 ECTS: 7
MATH 202 Scientific Computing (2-2)3 ECTS: 6
MATH 240 Analytical Mechanics (3-0)3 ECTS: 5
MATH 251 Vector Analysis (3-2)4 ECTS: 9
MATH 252 Analysis (4-0)4 ECTS: 6
MATH 255 Differential Equations (4-0)4 ECTS: 6
MATH 261 Linear Algebra I (4-0)4 ECTS: 8
MATH 262 Linear Algebra II (4-0)4 ECTS: 6
MATH 301 Dynamical Systems (3-0)3 ECTS: 6
MATH 352 Complex Analysis (4-2)5 ECTS: 10
MATH 355 Partial Differential Equations (4-0)4 ECTS: 6
MATH 361 Abstract Algebra (4-0)4 ECTS: 6
MATH 372 Differential Geometry (3-0)3 ECTS: 8
MATH 381 Numerical Analysis (4-0)4 ECTS: 6
MATH 415 Mathematical Research Project I (5-0)NC ECTS: 15
MATH 416 Mathematical Research Project II (5-0)NC ECTS: 15

Elective Courses
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 333 Introduction to Mathematical Modeling (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 385 Special Functions of Applied Mathematics (3-0)3 ECTS: 6
MATH 386 Fluid Dynamics (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 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