Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
2MATH152CALCULUS II4+257

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program MATHEMATICS
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course Calculus course is an introduction to the basic mathematical techniques that have been proved to be useful in analyzing problems in physics and engineering. Integral, sequences and the series are among the topics which are taught in the course. This course supplies a strong background for mathematics students.
Course Content The Riemann Integral, Mean Value Theorem for integrals, Fundamental Theorem of Calculus, Techniques to evaluate anti-derivative, various geometric and physical applications. Sequences, improper Integrals, infinite series, power series and Taylor's series with applications.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Associate Prof.Dr. ORHUN KARA
Prof.Dr. OKTAY PASHAEV
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
1) Thomas’ CALCULUS, N-th Editions, (N = 1,2,…,11) 2) Ayres F, Mendelson E, Schaum’s outline of Calculus, McGraw-Hill, 1990 3) Apostol T.M. Calculus and Linear Algebra, Wiley, 1967 4) Marsden J, Weinstein A. Calculus Unlimited, Benjamin,1981 5) Dunham W. The Calculus Gallery: Masterpieces from Newton to Lebesgue, 2004

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 2 % 40
Quizzes 1 % 10
Homeworks 0 % 0
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 1 % 50
Total
4
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 1 48 48
Outside Activities About Course (Attendance, Presentation, Midterm exam,Final exam, Quiz etc.) 1 96 96
Application (Homework, Reading, Self Study etc.) 1 18 18
Exams and Exam Preparations 1 48 48
Total Work Load   Number of ECTS Credits 7 210

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 The ability to understand and apply mathematical techniques for solving problems. (PO 1)
2 To distinguish mathematical language to solve concrete problems. (PO 2)
3 To be able to write and speak about subjects. (PO 3)
4 The ability to demonstrate knowledge of basic mathematical theorems. (PO 5)


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Integration: Sigma notation and limits of finite sums J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
2 Integration: The definite and indefinite integral. The fundamental theorem of calculus J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
3 Applications of Integration: Volumes using cross-sections and cylindrical shells J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
4 Applications of Integration: Arc length J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
5 Applications of Integration: Areas of surfaces of revolution J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
6 Applications of Integration: Areas of surfaces-II J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
7 Integrals and transcendental functions J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
8 Integration by parts J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
9 Trigonometric integrals and substitutions J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
10 Integrals of rational functions J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
11 Improper integrals J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
12 Infinite Sequences and Series J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
13 Integral and comparison tests; The ratio and root tests J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
14 Alternating series, absolute and conditional convergence, Power series; Taylor and Maclaurin series J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
15 Final 1st week J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007
16 Final 2nd week J. Hass, M. Weir, G. Thomas, UNIVERSITY CALCULUS, Addison Wesley, 2007


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14
C1 4 3
C2 4 3
C3 4 3
C4 4

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant


https://obs.iyte.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=163265&lang=en