Description of Individual Course Units
 Course Unit Code Course Unit Title Type of Course Unit Year of Study Semester Number of ECTS Credits MAT251 MATHEMATICS III Compulsory 2 3 4
Level of Course Unit
First Cycle
Language of Instruction
Turkish
Objectives of the Course
The aimof this course is to give basic concepts andmethods in multivariable functions.
Name of Lecturer(s)
Dr.Öğr.Grv.Filiz ARAS
Learning Outcomes
 1 To be able to comprehend multivariable functions 2 Generalizing previous knowledge to multivariable functions 3 Being able to develop mathematical thinking 4 Gain the ability to work individually
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Multivariable Funtions Limit and Continuity Partial Derivatives Direction Derivatives and Gradient Vectors Extreme values and saddle point
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 1 Multivariable Funtions Solving problems with a mentor 2 Limits and Continuity Solving problems with a mentor 3 Partial Derivatives Solving problems with a mentor 4 Tangent Planes and Normal Lines Solving problems with a mentor 5 Higher-Order Derivatives Solving problems with a mentor 6 The Chain Rule Solving problems with a mentor 7 Linear Approximations, Differentiability Solving problems with a mentor 8 Midterm Exam Solving problems with a mentor 9 Direction Derivatives and Gradient Vectors Solving problems with a mentor 10 İmplicit Functions Solving problems with a mentor 11 Jacobian Determinants Solving problems with a mentor 12 Taylor Series Solving problems with a mentor 13 Extreme Values and Saddle Point Solving problems with a mentor 14 Lagrange Multipliers Solving problems with a mentor 15 Parametric Problems Solving problems with a mentor 16 Final Exam
1. Robert A. Adams and Christopher Essex, “Calculus A Complete Course”, Pearson, 7th Edition, (Kalkülüs-Eksiksiz Bir Ders”-Cilt II, Prof. Dr. M. Terziler, Doç. Dr. T. Öner, Palme Yayıncılık, 2012), (2010). 2. Stein, S. K. andBarcellos, A., "CalculusandAnalyticGeometry", McGrawHill, (1992) 3. Thomas, G.B., “Thomas’ Calculus”, AddisonWesley (11th edition 2005) 4. Sokolnikoff, I. S., “Advanced Calculus”, McGrawHill (1939) 5. Adams, A.R, ‘’Calculus II’’.
Planned Learning Activities and Teaching Methods
Activities are given in detail in the sections of "Assessment Methods and Criteria" and "Workload Calculation".
Assessment Methods and Criteria
 Term (or Year) Learning Activities Quantity Weight Midterm Examination 1 100 SUM 100 End Of Term (or Year) Learning Activities Quantity Weight Final Sınavı 1 100 SUM 100 Term (or Year) Learning Activities 40 End Of Term (or Year) Learning Activities 60 SUM 100
Work Placement(s)
None