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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
MATHEMATICAL ANALYSIS I MAT151 First Term (Fall) 4 + 1 6

TYPE OF COURSE UNITCompulsory Course
LEVEL OF COURSE UNITBachelor's Degree
YEAR OF STUDY1
SEMESTERFirst Term (Fall)
NUMBER OF ECTS CREDITS ALLOCATED6
NAME OF LECTURER(S)Assistant Professor Tülin Altunöz Yazıcı
Assistant Professor Hazel Yücel
Assistant Professor Gencay Oğuz
Assistant Professor Banu Aytar
Instructor Nazlıcan Çakmak
Instructor Ayhan Aksoy
Instructor Hüsniye Yaroğlu Güler
LEARNING OUTCOMES OF THE COURSE UNIT At the end of this course, the students;
1) It is equipped with the necessary Engineering Mathematics knowledge in specific areas of engineering disciplines.
2) Gain analytical thinking ability.
3) Problem solving skills develop.
4) They can apply mathematical knowledge to engineering problems.
5)
6)
7)
MODE OF DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNone
COURSE DEFINITIONThis is a First Course in Freshman Calculus. Its content comprises of the following concepts: Functions, Limit and Continuity. The derivative and its Applications, Indefinite and Definite Integrals. Trigonometric, Logarithmic, Exponential and Hyperbolic Functions and their Inverses. Techniques of Integration. Applications of the Definite Integral: Area, Volume and Arclength. Indetermined Forms, L' Hopital's Rule. Improper Integral.
COURSE CONTENTS
WEEKTOPICS
1st Week Functions, inverse functions and their graphs
2nd Week Limit, continuity and derivative
3rd Week Applications of derivatives
4th Week Related Rates Problems
5th Week Sketching the graphs of functions in details,
6th Week Optimization problems
7th Week L'Hopital's Rules
8th Week Midterm Exam
9th Week Indefinite and definite integrals
10th Week Applications of definite integrals
11th Week Areas between curves
12th Week Volumes by Slicing (Disk or Washer) and Shell Methods
13th Week The techniques of integration
14th Week Improper integral
RECOMENDED OR REQUIRED READINGWeir MD, Hass J, Giordano FR (2005) Thomas' Calculus, 11th Ed., Addison-Wesley
Adams, R.A., Calculus (2003), 4th Ed., Addison-Wesley
Swokowski, E.w., Olinick, M., Pence, D., Calculus (1994), 6th Ed., PWS Publishing Company
PLANNED LEARNING ACTIVITIES AND TEACHING METHODSLecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term135
Quiz215
Total(%)50
Contribution of In-term Studies to Overall Grade(%)50
Contribution of Final Examination to Overall Grade(%)50
Total(%)100
ECTS WORKLOAD
Activities Number Hours Workload
Midterm exam122
Preparation for Quiz10220
Individual or group work7214
Preparation for Final exam14040
Course hours14570
Preparation for Midterm exam13030
Laboratory (including preparation)000
Final exam122
Homework000
Quiz212
Total Workload180
Total Workload / 306
ECTS Credits of the Course6
LANGUAGE OF INSTRUCTIONEnglish
WORK PLACEMENT(S)No
  

KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
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