COURSE INFORMATON
Course Title
MATHEMATICS II
Code
Year
Semester
T+P+L
(Hour/Week)
Credits
ECTS
0201201
First
Year
Spring
4+0+0
4
6
Department
CIVIL ENGINEERING
Course Level
First Cycle (B.Sc.)
Language of Instruction
Turkish
Course Type
Compulsory
Mode of Delivery
Face-To-Face
Prerequisites and co-requisites
None
Recommended Optional
Programme Components
Name of Lecturer
Prof. Dr. Kerim KOCA
Co-Lecturer
Work Placement
None
Teaching Methods
Lecturing. Problem solving.
Objectives of the Course
To teach both theory and applications of integral at undergraduate level. To explain the
difference between finite and infinite summations of integral and inverse derivative.
To learn about both theory and applications of integral. To be familiar with the
difference between finite and infinite summations of integral and inverse derivative.
Learning Outcomes
Course Content
Concept of derivative: definition of derivative, properties of derivative, derivative of
implicit functions, Rolle and mean value theorems, monotony theorem. Concept of
derivative: first and second derivative tests, inverse function theory of single value
functions, graphing of logarithmic and power functions. Concept of derivative: inverse
trigonometric functions, L’Hospital theory. Concept of derivative: Asymptotes and
graphical drawing, maxima and minima problems.Integral: definition of integral,
Reimann summations. Integral: definitions of lower and upper integral summations.
Integral: numerical integration methods.Inverse derivative groups, mean value theory
for integration, fundamental theory of analysis. Integration techniques, variable
alternation method, separation method, fractioning method, trigonometric variable
alternation , tan(x/2) variable alternation.
COURSE CONTENT (SYLLABUS)
1
Week
Topics
Study Materials
1
Concept of derivative: definition of derivative, properties of derivative,
derivative of implicit functions, Rolle and mean value theorems, monotony
theorem.
2
Concept of derivative: definition of derivative, properties of derivative,
derivative of implicit functions, Rolle and mean value theorems, monotony
theorem.
3
Concept of derivative: definition of derivative, properties of derivative,
derivative of implicit functions, Rolle and mean value theorems, monotony
theorem.
4
Concept of derivative: first and second derivative tests, inverse function
theory of single value functions, graphing of logarithmic and power
functions.
5
Concept of derivative: inverse trigonometric functions, L’Hospital theory.
6
Concept of derivative: Asymptotes and graphical drawing, maxima and
minima problems.
7
Integral: definition of integral, Reimann summations.
8
MIDTERM EXAM
9
Integral: definitions of lower and upper integral summations.
10
Integral: numerical integration methods.
11
Inverse derivative groups, mean value theory for integration, fundamental
theory of analysis.
12
Inverse derivative groups, mean value theory for integration, fundamental
theory of analysis.
13
Integration techniques, variable alternation method, separation method,
fractioning method, trigonometric variable alternation , tan(x/2) variable
alternation.
14
Integration techniques, variable alternation method, separation method,
fractioning method, trigonometric variable alternation , tan(x/2) variable
alternation.
RECOMMENDED SOURCES
Textbook
Genel Matematik, BALCI, M., Balcı Yayınları, 1. Baskı, Ankara, 2000.
Additional Resources
Differential Equations, ROSE S.L., Blaisdel Publishing Company.
Diferensiyel Denklemler, AYRES F.
Uygulamalı Matematik, Prof. Dr. İrfan Baki YAŞAR, Gazi Üniversitesi.
MATERIAL SHARING
Documents
Assignments
Exams
Midterm Exam, Final Exam, Supplementary Exam.
ASSESSMENT
2
EXAMS
QUANTITY
PERCENTAGE
Contribution of Mid -Term Examination to Overall Grade
1
40
Contribution of Final Examination to Overall Grade
1
60
TOTAL
100
COURSE'S CONTRIBUTION TO PROGRAMME
Nr.
Contribution
Programme Learning Outcomes
1 2 3 4 5
1
To gain the ability to apply knowledge of mathematics, science, and engineering to civil engineering
problems.
2
To be able to identify, model and solve civil engineering problems in consideration with safety,
economy, aesthetics and environmental factors.
3
To get familiar with modern techniques and computation methods in civil engineering.
X
4
To learn measurement and evaluation methods and techniques in civil engineering.
X
5
To gain the responsibility for work and labor safety in all civil engineering applications.
6
To be able to identify, analyze, and synthesize civil engineering problems and applications.
7
To have enough knowledge about construction materials.
8
To be able to conduct laboratory and site experiments, to evaluate, and to interpret experimental data.
9
To be able to work together with other people, to adapt teamwork.
10
To take initiative and responsibility, to work independently, and to innovate.
11
To gain the ability for effective written and oral communication in Turkish and English.
12
To recognize the need for, and to gain the ability to engage in life-long learning.
X
ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities
Quantity
Duration
(Hour)
Total Workload
(Hour)
Course Duration (Including the exam week: 16x Total course hours)
16
4
64
Hours for off-the-classroom study (Pre-study, practice)
16
3
48
Mid-term
1
16
16
Final examination
1
16
16
Assignments
Presentation / Preparing Seminar
Total Work Load
144
Total Work Load / 30 (h)
4,8
ECTS Credit of the Course
6
3