Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS Credits
1MİM113Mathematics1+2+022

Course Details
Language of Instruction Turkish
Level of Course Unit Bachelor's Degree
Department / Program Architecture
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course The purpose of this course is to provide students with basic math knowledge, develop analytical thinking and ability to produce solutions to problems.
Course Content Set Theory, Functions, Limits in Single Variable Functions, Continuity, Derivative, Rules of Differentiation, Geometrical and Physical Interpretation of the Derivative, Applications of Derivatives, Indeterminate Forms and L'Hopital's Rule, Graphing Single Variable Functions, Indefinite Integral, Techniques of Integration, Integration by Parts, Definite Integral, Area and Volume Calculation Using Integrals, Matrices and Determinants, Systems of Linear Equations, Vectors and Their Applications.
Course Methods and Techniques Lecture, Question Solving, Discussion
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Asist Prof. GÜLER KARAPINAR guler.karapinar@gedik.edu.tr
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Mustafa Balcı, General Mathematics I
Thomas Calculus, 11th Edition.
Lecture Notes, Workbooks, Online Resources, Homeworks
Thomas Kalkülüs, 11. Baskı, Çeviren: Recep Korkmaz.
1 Ara sınav, 1 Final Sınavı

Course Category
Mathematics and Basic Sciences %100
Engineering %0
Engineering Design %0
Social Sciences %0
Education %0
Science %0
Health %0
Field %0

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 1 % 40
Final examination 1 % 60
Total
2
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 3 42
Hours for off-the-c.r.stud 14 1 14
Mid-terms 1 3 3
Final examination 1 3 3
Total Work Load   Number of ECTS Credits 2 62

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 He/she defines the set and number conceptions.
2 He/she recognizes functions, classifies different types of functions and plots their graphs.
3 He/she uses the concepts of limits and continuity in single-variable functions to calculate the limit of a function and analyze its continuity.
4 He/she learns the rules of differentiation to calculate the derivative of a function, explains the geometrical and physical interpretations of the derivative, determines maximum and minimum points through derivative applications. Draws the graphs of functions using derivative tests.
5 He/she calculates indefinite and definite integrals, applies integration techniques, computes area and volume using integrals.
6 Performs matrix and determinant calculations, solves systems of linear equations and learns the fundamental concepts related to vectors.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Sets and sets of numbers Chapter 1 Thomas Calculus, 11th Edition
2 Functions and their properties. Chapter 1 Thomas Calculus, 11th Edition
3 Some special functions and their properties Chapter 1 Thomas Calculus, 11th Edition.
4 Limit of functions and Continuity Chapter 2 Thomas Calculus
5 Definition of Derivative and The Rules of Derivative Chapter 3 Thomas Calculus
6 Techniques of differentiation Chapter 3 Thomas Calculus
7 Application of Derivative Chapter 4 Thomas Calculus
8 The geometric and physical meaning of the derivative. Maximum and minimum Problems. Chapter 4 Thomas Calculus
9 Repeating courses and midterm exam
10 Indefinite Integral and Rules of Integration. Chapter 5, Chapter 8 Thomas Calculus
11 Definite Integral and Calculation of Area Chapter 6 Thomas Calculus
12 Volume Calculation by using Integral Chapter 6 Thomas Calculus
13 Matrices and Determinants. Linear Equation Systems.
14 Vectors Chapter 12 Thomas Calculus


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12
All 2 1 1 1 1 3 1 2 2 3 1 3
C1 2 4 1 1 1 3 1 2 2 3 1 3
C2 2 4 1 1 1 3 1 2 2 3 1 3
C3 2 4 1 1 1 3 1 2 2 3 1 3
C4 2 4 1 1 1 3 1 2 2 3 1 3
C5 2 1 1 1 1 3 1 2 2 3 1 3
C6 2 1 1 1 1 3 1 2 2 3 1 3

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