Türkçe English Rapor to Course Content
COURSE SYLLABUS
GENERAL MATHEMATIC I
1 Course Title: GENERAL MATHEMATIC I
2 Course Code: MAT1097
3 Type of Course: Compulsory
4 Level of Course: First Cycle
5 Year of Study: 1
6 Semester: 1
7 ECTS Credits Allocated: 5
8 Theoretical (hour/week): 4
9 Practice (hour/week) : 0
10 Laboratory (hour/week) : 0
11 Prerequisites: no
12 Recommended optional programme components: None
13 Language: Turkish
14 Mode of Delivery: Face to face
15 Course Coordinator: Prof. Dr. İSMAİL NACİ CANGÜL
16 Course Lecturers: Matematik bölümünün tüm öğretim üyesi ve öğretim görevlileri
17 Contactinformation of the Course Coordinator: E-posta: cangul@uludag.edu.tr
Telefon: +90 224 2941756
Adres: Bursa Uludağ Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü 16059 Görükle-Bursa-TÜRKİYE
18 Website:
19 Objective of the Course: is to give sufficient mathematics knowledge to solve chemical problems to students and also to improve the ability of finding solution to problems and analytical thinking.
20 Contribution of the Course to Professional Development It supplies the mathematical knowledge necessary for chemists.
21 Learning Outcomes:
1 Calculates limit of functions;
2 Determines whether a function is continuous or not;
3 Knows the concept of derivative;
4 Learns the rules of calculating derivative;
5 Calculates derivative of functions;
6 Sketches graphs of functions;
7 Learn to problems of maximum-minimum;
22 Course Content:
Week Theoretical Practical
1 Numbers.
2 Cartesian product, relation, types of relations.
3 Functions, properties of functions, type of functions
4 The definition of limit and rules of limit, continuity
5 The definition of derivative and derivation rules, the geometrical application of derivative, implicit derivative.
6 Derivative of some special functions
7 Problems of change
8 Midterm exam and evaluation of midterm exam
9 Increasing and decreasing functions
10 Fundamental theorems on derivative: Rolle and Main Value Theorems
11 Maximum and minimum problems
12 Critical points, increasing, decreasing, convex, concave
13 L’ Hospital rule on limits by using derivative
14 Graphs of functions
23 Textbooks, References and/or Other Materials: [1] Genel Matematik, Mustafa Balcı, Balcı Yayınları, 2003.
[2] Genel Matematik, Diferensiyel ve İntegral Hesap, Osman Bizim, Ahmet Tekcan, Betül Gezer. Dora Yayınları, 2011
[3] A First Course in Calculus, Serge Lang, World Student Series Third Edition, Addison-Wesley Publishing Company.
[4] Thomas Calculus, 11. Edition,Pearson Addison-Wesley Publishing Company, 2005
24 Assesment
TERM LEARNING ACTIVITIES NUMBER PERCENT
Midterm Exam 1 40
Quiz 0 0
Homeworks, Performances 0 0
Final Exam 1 60
Total 2 100
Contribution of Term (Year) Learning Activities to Success Grade 40
Contribution of Final Exam to Success Grade 60
Total 100
Measurement and Evaluation Techniques Used in the Course written exam
Information
25 ECTS / WORK LOAD TABLE
Activites NUMBER TIME [Hour] Total WorkLoad [Hour]
Theoretical 14 2 28
Practicals/Labs 14 2 28
Self Study and Preparation 8 5 40
Homeworks, Performances 0 7 14
Projects 1 10 10
Field Studies 0 0 0
Midtermexams 1 15 15
Others 0 0 0
Final Exams 1 15 15
Total WorkLoad 150
Total workload/ 30 hr 5
ECTS Credit of the Course 5
26 CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 PQ13
LO1 0 3 0 0 0 3 4 0 0 4 0 4 0
LO2 0 3 0 0 0 3 4 0 0 4 0 4 0
LO3 0 3 0 0 0 3 4 0 0 4 0 4 0
LO4 0 3 0 0 0 3 4 0 0 4 0 4 0
LO5 0 3 0 0 0 3 4 0 0 4 0 4 0
LO6 0 3 0 0 0 3 4 0 0 4 0 4 0
LO7 0 3 0 0 0 3 4 0 0 4 0 4 0
LO: Learning Objectives PQ: Program Qualifications
Contribution Level: 1 Very Low 2 Low 3 Medium 4 High 5 Very High
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