Basic Mathematics II (MATH108) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Basic Mathematics II MATH108 Diğer Bölümlere Verilen Ders 2 0 0 2 2
Pre-requisite Course(s)
MATH107
Course Language Turkish
Course Type Service Courses Given to Other Departments
Course Level Bachelor’s Degree (First Cycle)
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Question and Answer.
Course Coordinator
Course Lecturer(s)
  • Assoc. Prof. Dr. İnci Erhan
Course Assistants
Course Objectives The objective of this course is to introduce the concepts of calculus, such as functions, function types and properties, basic operations on functions such as limit, derivative and integrals and their applications. Also, it is aimed to develop the problem solving and analytic thinking skills of the student and to increase their ability to apply problems to real life.
Course Learning Outcomes The students who succeeded in this course;
  • Understand basic concepts of functions
  • Understand concept of limit of a function and calculate limits of functions
  • Understand concept of a derivative and compute derivatives of various functions
  • Understand concept of an integral and compute integrals of various functions
  • Perform various applications of derivative and integral
Course Content Functions, trigonometric functions, exponential and logarithmic functions, limits and continuity, derivative, applications of derivative, definite and indefinite integrals, integration techniques, area and volume computation.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Function, operations on functions, composite function Textbook 2- Sec. 7.1-7.6
2 One-to one, increasing and decreasing functions, inverse functions Textbook 2- Sec. 7.7-7.11
3 Trigonometric and inverse trigonometric functions Textbook 2- Chapter 8
4 Exponential and logarithmic functions Textbook 2- Chapter 10
5 Polynomials and rational functions Textbook 2- Chapter 5
6 Limits of functions, indeterminate forms, limits at infinity and infinite limits, continuity Textbook 1- Sec. 3.1,3.2
7 1st Midterm Exam
8 Derivative, tangent line, differentiation rules Textbook 1- Sec.4.1-4.5
9 Applications of derivatives, optimization problems Textbook 1- Sec. 5.1-5.4
10 Indefinite integrals, methods of integration, method of substitution Textbook 1- Sec. 6.1-6.3
11 Integration by parts, integrals of rational functions Textbook 1- Sec.6.4
12 Definite integral Textbook 1- Sec.6.5
13 Area computation Textbook 1- Sec.6.6
14 Volume computaton Textbook 1- Sec.6.7
15 Review
16 Final Exam

Sources

Course Book 1. Matematik II Atılım Üniversitesi Matematik Bölümü Uzaktan Eğitim Ders Notu
3. Matematik I Atılım Üniversitesi Matematik Bölümü Uzaktan Eğitim Ders Notu
Other Sources 4. Kalkülüs Kapsam ve Kavram, J. Stewart, TÜBA Yayınları, İkinci Baskı, 2007

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments - -
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 60
Final Exam/Final Jury 1 40
Toplam 3 100
Percentage of Semester Work
Percentage of Final Work 100
Total 100

Course Category

Core Courses
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Has the ability to apply scientific knowledge gained in the undergraduate education and to expand and extend knowledge in the same or in a different area
2 Can apply gained knowledge and problem solving abilities in inter-disciplinary research
3 Has the ability to work independently within research area, to state the problem, to develop solution techniques, to solve the problem, to evaluate the obtained results and to apply them when necessary
4 Takes responsibility individually and as a team member to improve systematic approaches to produce solutions in unexpected complicated situations related to the area of study
5 Can develop strategies, implement plans and principles on the area of study and can evaluate obtained results within the framework
6 Can develop and extend the knowledge in the area and to use them with scientific, social and ethical responsibility
7 Has the ability to follow recent developments within the area of research, to support research with scientific arguments and data, to communicate the information on the area of expertise in a systematically by means of written report and oral/visual presentation
8 To have an oral and written communication ability in at least one of the common foreign languages ("European Language Portfolio Global Scale", Level B2)
9 Has software and hardware knowledge in the area of expertise, and has proficient information and communication technology knowledge
10 Follows scientific, cultural, and ethical criteria in collecting, interpreting and announcing data in the research area and has the ability to teach.
11 Has professional ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications.

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 14 1 14
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 1 2
Prepration of Final Exams/Final Jury 1 2 2
Total Workload 18