Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS Credits
1MATH111Calculus I3+0+036

Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Mechatronics Engineering (English)
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course 1.To provide the concepts of functions, limits, continuity, differentiation and
integration
2.To provide the knowledge of applications of differentiation and integration
3.To give an ability to apply knowledge of mathematics on engineering problems
Course Content Functions of a Single Variable, Limits and Continuity, Derivatives, Applications of Derivatives, Sketching Graphs of Functions, Asymptotes, Integration, Fundamental Theorem of Calculus, Applications of Integrals, Polar Coordinates, Transcendental Functions, Techniques of Integration, Indeterminate Forms, L Hopital s Rule
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Instructor Elif ALTINTAŞ
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources G.B Thomas, R. L. Finney, M.D.Weir, F.R.Giordano, 2005, Thomas Calculus,10th Edition, Addison Wesley, ISBN:0201441411
Lecture, Homework, Exercises
G.B Thomas, R. L. Finney, M.D.Weir, F.R.Giordano, 2005, Thomas Calculus,10th Edition, Addison Wesley, ISBN:0201441411
1 Final Sınavı, 1 Ara Sınav

Course Category
Mathematics and Basic Sciences %100

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 3 42
Mid-terms 1 35 35
Practice 14 2 28
Final examination 1 50 50
Total Work Load   Number of ECTS Credits 7 197

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Compute the limit of various functions, use the concepts of the continuity, use the rules of differentiation to differentiate functions
2 Sketch the graph of a function using asymptotes, critical points and the derivative test for increasing/decreasing and concavity properties
3 Set up max/min problems and use differentiation to solve them
4 Evaluate integrals by using the Fundamental Theorem of Calculus
5 Apply integration to compute areas and volumes , volumes of revolution and arclengths
6 Learns transcendental functions and evaluate integrals using techniques of integration
7 Learns uncertain limits and evaluate limits with L’Hopital’s rule


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Limits and Continuity
2 Limits and Continuity
3 Derivatives
4 Derivatives
5 Applications of Derivatives
6 Applications of Derivatives
7 Integration
8 Integration
9 MIDTERM EXAM
10 Applications of Integrals
11 Applications of Integrals
12 Transcendental Functions
13 Techniques of Integration
14 Techniques of Integration
15 L Hopital s Rule
16 FINAL EXAM


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13
All 5 1 1 1 1 1 1 1 1 1
C1 5 1 1 1 1 1 1 1 1 1
C2 5 1 1 1 1 1 1 1 1 1
C3 5 1 1 1 1 1 1 1 1 1
C4 5 1 1 1 1 1 1 1 1 1
C5 5 1 1 1 1 1 1 1 1 1
C6 5 1 1 1 1 1 1 1 1 1
C7 5 1 1 1 1 1 1 1 1 1

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