Information Package / Course Catalogue
Analysis I
Course Code: MAT101
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 4
Prt.: 2
Credit: 5
Lab: 0
ECTS: 7
Objectives of the Course

The main objective of the course is to guide learners to form a mathematical background by instructing required information about relation, limit, continuity, derivative and to help them gain the ability of rational approach to problems.

Course Content

Numbers, Functions, Limits and continuity concept at functions, Derivative and its applications, Drawing a curve.

Name of Lecturer(s)
Prof. İnci EGE
Learning Outcomes
1.To be able to comprehend the definition of function and the basic functions.
2.To be able to interpret limit and continuity circumstances of functions at given points.
3.To be able to comprehend the derivative at the point of given functions.
4.To be able to apply derivative to the problems in daily life, optimization problems being in the first place.
5.To be able to gain the skill of interpreting some interrelations among these concepts
Recommended or Required Reading
1.Silverman R. A. Calculus ve Analitik Geometri I, Alkım Yayınları, 1992
2.Addams R. a. , Essex C. Calculus, eksiksiz Bir ders Cilt I, Palme Yayınevi, 2024
3.Dennis G. Zill - Warren S. Wright, Matematik Cilt II - Calculus Early Transcendentals, Nobel Akademik Yayıncılık, 2017
4.Balcı M. Genel Matematik I, Palme Yayınevi, 2022
5.Weir M. D., Hass J., Thomas’ Calculus Early Transcendentals, 12th Ed., Pearson Education, 2004
Weekly Detailed Course Contents
Week 1 - Theoretical & Practice
Sets, integers, rational and real numbers, Inequalities
Week 2 - Theoretical & Practice
Functions, domain and image sets, Species of functions and their properties
Week 3 - Theoretical & Practice
Species of functions and their properties
Week 4 - Theoretical & Practice
Species of functions and their properties
Week 5 - Theoretical & Practice
Limit and its properties
Week 6 - Theoretical & Practice
Uncertainty of limits
Week 7 - Theoretical & Practice
Continuity (Quiz)
Week 8 - Theoretical & Practice
Properties of continuity (MIDTERM EXAM)
Week 9 - Theoretical & Practice
Derivative and its properties, Derivative of special functions
Week 10 - Theoretical & Practice
Tangent and normal lines, differential
Week 11 - Theoretical & Practice
Theorems of derivative
Week 12 - Theoretical & Practice
Theorem of L’ Hospital
Week 13 - Theoretical & Practice
Increasing/Decreasing and convex/concave functions, critical and inflection points, Problems of maximum and minimum
Week 14 - Theoretical & Practice
Asimptots and drawing curve
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140456
Lecture - Practice140228
Individual Work140456
Midterm Examination115217
Final Examination120222
TOTAL WORKLOAD (hours)179
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
PÇ-16
PÇ-17
PÇ-18
OÇ-1
4
4
4
OÇ-2
4
4
4
OÇ-3
4
4
3
OÇ-4
4
4
4
OÇ-5
4
4
Adnan Menderes University - Information Package / Course Catalogue
2026