Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
2MATH112Mathematics II4+0+04603.11.2026
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Electrical - Electronic 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 integrlas, sequences and infinite series.
2. To provide the applications of partial differentiation and multiple integrals.
3. To give an ability to apply knowledge of mathematics on engineering problems
Course Content • Improper İntegrlas, Infinite sequences and series, Vectors in Space,Vector-Valued Functions, Multivarible Functions and Partial Derivatives , Multiple Integrals, Integration on vector fields .
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Prof.Dr. Ece Yetkin Çelikel
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Weir, M.D., J. Hass and F.R. Giardona, Thomas’ Calculus, 11th Edition, Pearson, Addison- Wesley, Boston, 2005 (Bölümler: 8,10,11,12,13).

Course Category
Mathematics and Basic Sciences %60
Engineering %40

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 2 % 20
Assignment 5 % 40
Final examination 1 % 40
Total
8
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 15 4 60
Hours for off-the-c.r.stud 15 4 60
Assignments 6 8 48
Mid-terms 2 3 6
Final examination 1 3 3
Total Work Load   Number of ECTS Credits 6 177

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Determine convergence/divergence of improper integrals.Compute limits of sequences and series; determine the convergence of the series and the radius of convergence of power series.
2 Represent a known function as a Taylor series; approximate a known function with a Taylor polynomial and determine the error involved.
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.
4 Use the concepts of continuity, differentiation, and integration of vector-valued functions
5 Understand the multivariable functions, analyze limits, determine continuity, and compute partial derivatives of them; find tangent planes, directional derivatives, gradients; apply the second partials test, and Lagrange multipliers to approximate and solve optimization problems.
6 Compute multiple integrals over rectangular regions, non-rectangular regions, and in other coordinate systems ; apply multiple integrals in problem situations involving area, volume, surface area etc
7 Compute the line integrals ; find potential functions.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Improper Integrals
2 Vectors in space
3 Vectors in space
4 Vector valued functions
5 Multivariable Functions and Partial Derivatives
6 Multivariable Functions and Partial Derivatives
7 Multivariable Functions and Partial Derivatives
8 Multiple Integrals
9 Multiple Integrals
10 Integration in Vector Fields
11 Sequences of numbers
12 Infinite Series
13 Infinite Series
14 Infinite Series
15 General Review

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 5 2 2 2 3 2 3 5 5 2 3
C1 5 2 2 2 3 2 3 5 5 2 3
C2 5 2 3 2 3 2 3 5 5 2 3
C3 5 2 2 2 3 2 3 5 5 2 3
C4 5 2 2 2 3 2 3 5 5 2 3
C5 5 2 2 2 3 2 3 5 5 2 3
C6 5 2 2 2 3 2 3 5 5 2 3
C7 5 2 2 2 3 2 3 5 5 2 3

  Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant