YAŞAR UNIVERSITY
SCIENCE AND LETTERS FACULTY
MATHEMATICS DEPARTMENT
COURSE SYLLABUS
Course Title
Course
Code
Semester
Calculus II
Math 112
Spring
Course Hour/Week
Theory
3
Practice
2
Yaşar Credit
ECTS
4
6
Course Type
1. Compulsory Courses
1.1. Programme Compulsory Courses
X
1.2. University Compulsory Courses (UFND)
1.3. YÖK (Higher Education Council) Compulsory Courses
2. Elective Courses
2.1. Program Elective Courses
2.2. University Elective Courses
3. Prerequisites Courses
3.1. Compulsory Prerequisites Courses
3.2. Elective Prerequisites Courses
Language of Instruction
English
Level of Course
Undergraduate (First Cycle)
Prerequisites Course(s) (compulsory)
-
Special Pre-Conditions of the Course
(recommended)
-
Course Coordinator
Course Instructor(s)
Course Assistant(s)/Tutor (s)
Aim(s) of the Course
Prof.Dr.Refail Alizade
Mail: rafail.alizade@yasar.edu.tr;
Web: -
Prof.Dr.Refail Alizade
Assist.Prof.Dr.Ahmet Yantır
Assist.Prof.Dr.İlker Gürkan
Lecturer Esra Dalan Yıldırım
Mail: rafail.alizade@yasar.edu.tr;
ahmet.yantir@yasar.edu.tr;
ilker.gurkan@yasar.edu.tr;
esra.dalan@yasar.edu.tr
Web: -
Aslı Güler Serinken
Zeynep Örs Yorgancıoğlu
Mail: asli.guler@yasar.edu.tr;
zeynepors.yorgancioglu@yasar.edu.tr
Web:
The aim of this course is to provide fundamental concepts of integral
calculus (Definite and Indefinite integrals, Integration techniques,
transcendental functions), sequences, series and to give the methods of
calculus of several variables for solving real world problems.
At the end of this course, students are expected to be able to

Learning Outcomes of the Course
Course Content




understand the integration and its applications, apply the
integration techniques for evaluation differnt type of integrals
solve the calculus problems including transcendental functions
comprehend the notions of sequences and series
have some inferences about the functions of several variable
achieve the knowledge about multiple integral and its applications
Transcendental functions, Integration techniques, Improper integrals,
Sequences, Series, Absolute and conditional convergence, power series,
Taylor and Maclaurin Series. Functions of several variables, Multiple
integrals
COURSE OUTLINE/SCHEDULE (Weekly)
Week
Preliminary Preparation
Methodology and
Implementation
(theory,practice,
assignment etc)
Theory and Practice
Topics
1
Integration by Parts
Textbook Chapter 8
2
Trigonometric Integrals, Trigonometric
Substitution
Textbook Chapter 8
3
Integration of rational functions, Improper
Integrals
Textbook Chapter 8
4
Basic Integration Formulas, Substitution,
Textbook Chapter 8
Theory and Practice
5
Sequences, Limits of sequences, Series
Textbook Chapter 11
Theory and Practice
6
Partial sum, convergence of series, nth term
test for divergence
Textbook Chapter 11
7
Integral, Comparison and Ratio Tests
Textbook Chapter 11
Textbook Chapter
8
Preparation for exam 50 min.,
and Midterm Exam 90 min.
16.11.2015, 18.30-20.00,
Theory and Practice
Theory and Practice
Theory and Practice
Theory and Practice
Theory and Practice
Room No: C109-111
9
Power series, Taylor and Maclaurin series,
Convergence of Taylor series
Textbook Chapter 11
Theory and Practice
10
Power series, Taylor and Maclaurin series,
Textbook Chapter 12
Convergence of Taylor series
Dot and Cross product of the vectors, lines and
planes in the Space
Theory and Practice
Functions of several variables, Limits,
continuity in higher dimensions, partial
derivatives
Textbook Chapter 14
11
Theory and Practice
12
Chain rule, Extreme values and Saddle points,
Lagrange multipliers
Textbook Chapter 14
13
Polar Coordinates, Graphing in polar curves
Textbook Chapter 10
Theory and Practice
14
Double integrals
Textbook Chapter 15
Theory and Practice
15
Final
Textbook Chapter
Theory and Practice
Required Course Material (s) /Reading(s)/Text Book (s)
Theory and Practice
Thomas’ Calculus, George B.Thomas, Maurice D. Weir, Joel
R.Hass, and Frank R. Giardino, Addison Wesley, 2004.
Recommended Course Material (s)/Reading(s)/Other
“Calculus, A complete course” by Robert A.Adams, Addison
Wesley, Longman
ASSESSMENT
Semester Activities/ Studies
NUMBER
WEIGHT in %
Mid- Term
1
40
Attendance
14
3
Quiz
4
5
Assignment (s)
2
2
Project
-
-
Laboratory
-
-
Field Studies (Technical Visits)
-
-
Presentation/ Seminar
-
-
Practice (Laboratory, Virtual Court, Studio Studies etc.)
-
-
Other (Placement/Internship etc.)
-
-
TOTAL
100
Contribution of Semester Activities/Studies to the Final Grade
50
Contribution of Final Examination/Final Project/ Dissertation to the Final Grade
50
TOTAL
100
CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME OUTCOMES
No Programme Outcomes
Level of
Contribution (1lowest/ 5highest)
1
1
2
3
4
2
3
4
To be able to read, understand and use mathematical definitions, and to obtain a result from
these definitions.
X
To be able to grasp the concepts related with their field and the relations with these concepts.
To be able to show that they understand the disposition of mathematical proof and to prove
clearly and exactly.
To be able to use abstract thinking.
X
X
X
5
To be able to demonstrate expression ability in a verbal and written meaning with mathematical
language effectively.
X
6
To be able to transfer solution offers related with their fields and to transfer their thoughts in
their area.
X
7
8
9
To be able to solve problems by considering mathematical theories, notions and data.
X
To be able to give appropriate examples for the given notions.
To be able to compare the given notions.
5
X
X
ECTS /STUDENT WORKLOAD
NUMBER
UNIT
HOUR
TOTAL
(WORKLOAD)
Course Teaching Hour (14 weeks* total course hours)
14
Week
5
70
Preliminary Preparation and finalizing of course notes,
further self- study
14
2
28
Assignment (s)
3
2
6
ACTIVITIES
Presentation/ Seminars
Week
Number
Number
Quiz and Preparation for the Quiz
5
Number
3
15
Mid- Term(s)
1
Number
10
10
20
20
Project (s)
Number
Field Studies (Technical Visits, Investigate Visit etc.)
Number
Practice (Laboratory, Virtual Court, Studio Studies etc.)
Number
Final Examination/ Final Project/ Dissertation and
Preparation
Other (Placement/Internship etc.)
1
Number
Number
Total Workload
149
Total Workload/ 25
5.96
ECTS
6
ETHICAL RULES WITH REGARD TO THE COURSE (IF AVAILABLE)
ASSESSMENT and EVALUATION METHODS:
Final Grades will be determined according to the Yaşar University Associate Degree, Bachelor Degree and Graduate
Degree Education and Examination Regulation
PREPARED BY
UPDATED
APPROVED