COURSE INTRODUCTION AND APPLICATION INFORMATION


Course Name
Calculus II
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
MATH 110
Spring
2
2
3
6
Prerequisites
 MATH 109To attend the classes (To enrol for the course and get a grade other than NA or W)
Course Language
English
Course Type
Required
Course Level
First Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course
Course Coordinator -
Course Lecturer(s)
Assistant(s)
Course Objectives The major objective of this course is to give the student substantial experience in modeling and solving real world problems by using derivative, integration and series
Learning Outcomes The students who succeeded in this course;
  • will be able to understand conceptual and visual representation of areas, revolved areas, arc lengths.
  • will be able to calculate improper integrals using integral technics
  • will be able to understand and apply fundamental theorem of calculus
  • will be able to calculate volumes of solids
  • will be able to calculate integrals of function
Course Description Areas as limits of sums, Riemann sums, definite and indefinite integrals, improper integrals, integration techniques, volumes of solids, arc length and surface area

 



Course Category

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

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Required Materials
1 Sums and sigma notation, areas as limits of sums Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 5.1, 5.2
2 The definite integral Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 5.3
3 Properties of the definite integral , The fundamental theorem of calculus Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 5.4, 5.5
4 The method of substitution, areas of plane regions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 5.6, 5.7
5 Integration by parts, integrals of rational functions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 6.1, 6.2
6 Integrals of rational functions, Inverse substitutions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 6.2, 6.3
7 Inverse substitutions, Improper integrals Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition., 6.3, 6.5
8 Improper integrals Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition., 6.5
9 Midterm Exam
10 Volumes by slicing, solids of revolution Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 7.1
11 Cylindrical shells, Arc length Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 7.1, 7.3
12 Surface area Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 7.3
13 Mass, moments and center of mass Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 7.4
14 Review of the Semester  
15 Review of the Semester
16 Review of the Semester
Course Notes/Textbooks “Calculus, A complete course” by Robert A.Adams, Addison Wesley, Longman
Suggested Readings/Materials “Thomas’ Calculus” by Finney, Weir, Giordano

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
4
20
Portfolio
Homework / Assignments
8
10
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterm
1
30
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
13
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Course Hours
(Including exam week: 16 x total hours)
16
4
64
Laboratory / Application Hours
(Including exam week: 16 x total hours)
16
Study Hours Out of Class
16
4
Field Work
Quizzes / Studio Critiques
2
Portfolio
Homework / Assignments
8
1
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
1
18
Final Exams
1
25
    Total
179

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1 To have a grasp of basic mathematics, applied mathematics and theories and applications of statistics. X
2 To be able to use theoretical and applied knowledge acquired in the advanced fields of mathematics and statistics, X
3 To be able to define and analyze problems and to find solutions based on scientific methods, X
4 To be able to apply mathematics and statistics in real life with interdisciplinary approach and to discover their potentials, X
5 To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself, X
6 To be able to criticize and renew her/his own models and solutions, X
7 To be able to tell theoretical and technical information easily to both experts in detail and nonexperts in basic and comprehensible way, X
8

To be able to use international resources in English and in a second foreign language from the European Language Portfolio (at the level of B1) effectively and to keep knowledge up-to-date, to communicate comfortably with colleagues from Turkey and other countries, to follow periodic literature,

X
9

To be familiar with computer programs used in the fields of mathematics and statistics and to be able to use at least one of them effectively at the European Computer Driving Licence Advanced Level,

X
10

To be able to behave in accordance with social, scientific and ethical values in each step of the projects involved and to be able to introduce and apply projects in terms of civic engagement,

X
11 To be able to evaluate all processes effectively and to have enough awareness about quality management by being conscious and having intellectual background in the universal sense, X
12

By having a way of abstract thinking, to be able to connect concrete events and to transfer solutions, to be able to design experiments, collect data, and analyze results by scientific methods and to interfere,

X
13

To be able to continue lifelong learning by renewing the knowledge, the abilities and the compentencies which have been developed during the program, and being conscious about lifelong learning,

14

To be able to adapt and transfer the knowledge gained in the areas of mathematics and statistics to the level of secondary school,

X
15

To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 

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