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Programme Information

Faculty Of Engıneerıng
Computer And Software Engıneerıng General Information Administration Programme Outcomes Academic Staff Curriculum 1st Year 2nd Year 3rd Year 4th Year Degree Programmes Toros University Information Package Bologna Process Action Plan Toros University

Faculty Of Engıneerıng
Computer And Software Engıneerıng

Course Information

MATHEMATICS II
Code Semester Theoretical Practice National Credit ECTS Credit
Hour / Week
MAT104 Spring 4 0 4 6

Prerequisites and co-requisites None
Language of instruction English
Type Required
Level of Course Bachelor's
Lecturer Asst. Prof. Çağdaş ALLAHVERDİ
Mode of Delivery Face to Face
Suggested Subject None
Professional practise ( internship ) None
Objectives of the Course The aim of this course is to enable students to learn, understand, explain and use advanced mathematical calculus and thus to assist engineering studies.
Contents of the Course At the end of this course, the students should be able to: • Define algebraic and transcendental functions, • Use L'Hopital's rule to calculate limits of indeterminate forms, • Solve improper and proper integrals, • Solve simple first order differential equations, • Do algebra and calculus with power series, • Identify and use Taylor and Maclaurin Series, • Solve integrals numerically, • Do algebra and calculus using polar coordinates, • Do vector operations, • Calculate partial derivaties and multiple integrals.

Learning Outcomes of Course

# Learning Outcomes
1 To be able make derivatives coming in mathematical and engineering problems
2 To be able make integrals coming in mathematical and engineering problems
3 To be able to apply mathematical knowledge and experience to real problems
4 To be able to plan time management
5 To be able to do his/her job for the interests of the society and himself/herself

Course Syllabus

# Subjects Teaching Methods and Technics
1 Transcendental functions: Inverse functions, natural logarithms, exponential functions lecturing, discussing, problem solving
2 Transcendental functions: L'Hopital's rule, hyperbolic functions lecturing, discussing, problem solving
3 Techniques of integration: Integration by parts, trigonometric integrals, trigonometric substitutions, integration of rational functions lecturing, discussing, problem solving
4 Numerical integration lecturing, discussing, problem solving
5 First order differential equations and their applications lecturing, discussing, problem solving
6 Infinite sequences and series: infinite series, alternating series, power series lecturing, discussing, problem solving
7 Infinite sequences and series: Taylor and Maclaurin series lecturing, discussing, problem solving
8 Midterm Exam lecturing, discussing, problem solving
9 Polar coordinates, graphing in polar coordinates lecturing, discussing, problem solving
10 Vector operations lecturing, discussing, problem solving
11 Integrals of vector functions lecturing, discussing, problem solving
12 Partial derivatives lecturing, discussing, problem solving
13 Double integrals lecturing, discussing, problem solving
14 Triple integrals lecturing, discussing, problem solving
15 Integration in vector fields
16 Final Exam

Course Syllabus

# Material / Resources Information About Resources Reference / Recommended Resources
1 George B. Thomas, Maurice D. Weir, Joel R. Hass, Thomas' Calculus, 12th Edition, ISBN-13: 978-0-321-64363-6 ISBN-10: 0-321-64363-1, 2010.

Method of Assessment

# Weight Work Type Work Title
1 40% Mid-Term Exam Mid-Term Exam
2 60% Final Exam Final Exam

Relationship between Learning Outcomes of Course and Program Outcomes

# Learning Outcomes Program Outcomes Method of Assessment
1 To be able make derivatives coming in mathematical and engineering problems 1͵7 1͵2
2 To be able make integrals coming in mathematical and engineering problems 1͵7 1͵2
3 To be able to apply mathematical knowledge and experience to real problems 1͵7 1͵2
4 To be able to plan time management 1͵7 1͵2
5 To be able to do his/her job for the interests of the society and himself/herself 1͵7 1͵2
PS. The numbers, which are shown in the column Method of Assessment, presents the methods shown in the previous table, titled as Method of Assessment.

Work Load Details

# Type of Work Quantity Time (Hour) Work Load
1 Course Duration 14 4 56
2 Course Duration Except Class (Preliminary Study, Enhancement) 14 4 56
3 Presentation and Seminar Preparation 0 0 0
4 Web Research, Library and Archival Work 0 0 0
5 Document/Information Listing 0 0 0
6 Workshop 0 0 0
7 Preparation for Midterm Exam 0 0 0
8 Midterm Exam 1 3 3
9 Quiz 0 0 0
10 Homework 4 8 32
11 Midterm Project 0 0 0
12 Midterm Exercise 0 0 0
13 Final Project 0 0 0
14 Final Exercise 0 0 0
15 Preparation for Final Exam 0 0 0
16 Final Exam 1 3 3
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