Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
2MMT112Calculus II4+2+05620.05.2026

 
Course Details
Language of Instruction Turkish
Level of Course Unit Bachelor's Degree
Department / Program Computer Engineering
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course 1.To provide the concepts and applications of the convergence of improper integrals, sequences and infinite series.
2.To provide the knowledge of applications of partial differentiation and multiple integrals.
3.To give an ability to apply knowledge of mathematics on engineering problems.
Course Content Improper integrals, infinite sequences and series, vector valued functions, multivariable functions, multiple Integrals and their applications
Course Methods and Techniques 1. Narration
2. Question and Answer
3. Discussion
4. Practice and Application
5. Problem Solving
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Asist Prof. Pegah MUTLU
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources G.B Thomas, R. L. Finney, M.D.Weir, F.R.Giordano (2005) Thomas Calculus (10th Edition, Addison Wesley, ISBN:0201441411)
Exams 1 Ara Sınav, 1 Final Sınavı

Course Category
Mathematics and Basic Sciences %100
Engineering %0
Engineering Design %0

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
Mid-terms 1 % 50
Final examination 1 % 50
Total
2
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 6 84
Hours for off-the-c.r.stud 14 4 56
Mid-terms 1 6 6
Final examination 1 7 7
Total Work Load   Number of ECTS Credits 6 153

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Computes improper integrals and analyzes their convergence
2 Compute limits of sequences and series; determine the convergence of the series and the radius of convergence of power series
3 Compute the standard representation of a vector in 3-space, compute the dot product and cross product of vectors; write equations of lines, planes and quadric surfaces in 3-space, use the concepts of continuity, differentiation, and integration of vector-valued functions, examines the tangent vector and normal vector, calculates the arc-length.
4 Understand the multivariable functions, analyze limits, determine continuity, and compute partial derivatives and directional derivative of them; find tangent planes, Apply the second partials test and solve optimization problems.
5 Compute multiple integrals and apply them in problem situations involving area and volume.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Improper integrals
2 Improper integrals
3 Sequences
4 Infinite series
5 Infinite Series
6 Infinite Series
7 Vectors, lines and planes in 3-space
8 MIDTERM EXAM
9 Vector valued functions
10 Multivariable functions
11 Multivariable functions
12 Multiple integrals and their applications
13 Multiple integrals and their applications
14 Multiple Integrals and their applications
15 FINAL EXAM

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
C1 5
C2 5
C3 5
C4 5
C5 5

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  https://obs.gedik.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=243191&curProgID=5607&lang=en