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    MATH 154 | Ders Tanıtım Bilgileri

    Dersin Adı
    Calculus II
    Kodu
    Yarıyıl
    Teori
    (saat/hafta)
    Uygulama/Lab
    (saat/hafta)
    Yerel Kredi
    AKTS
    MATH 154
    SPRING
    2
    2
    3
    6

    Ön-Koşul(lar) MATH 153 To get a grade of at least FD
    Dersin Dili English
    Dersin Türü Zorunlu
    Dersin Düzeyi Lisans
    Dersin Veriliş Şekli
    Dersin Öğretim Yöntem ve Teknikleri -
    Ulusal Meslek Sınıflandırma Kodu -
    Dersin Koordinatörü
    • Dr. Öğr. Üyesi Demet Ersoy Özbek
    Öğretim Eleman(lar)ı
    • Dr. Öğr. Üyesi Ayşe Beler
    • Dr. Öğr. Üyesi Neslişah İmamoğlu Karabaş
    • Doç. Dr. Meryem Odabaşı
    • Dr. Öğr. Üyesi Demet Ersoy Özbek
    Yardımcı(ları) -
    Dersin Amacı In this course, integration techniques and application of integration, Taylor and Maclaurin series and their applications, functions of several variables, their derivatives, integrals and applications are examined.
    Öğrenme Çıktıları Bu dersi başarıyla tamamlayabilen öğrenciler;
    Ad Açıklama PC Alt * Katkı Düzeyi
    1 2 3 4 5
    LO1 Evaluate definite and indefinite integrals of functions using integration techniques 1.1 X
    LO2 Calculate improper integrals and volumes of solids. 1.1 X
    LO3 Use the applications of Taylor and Maclaurin series effectively. 1.1 X
    LO4 Define the concepts of limits and continuity for the functions of several variables. 1.1 X
    LO5 Calculate partial and directional derivatives. 1.1 X
    LO6 Solve extreme value problems. 1.1 X
    LO7 Compute double and triple integrals 1.1 X
    Ders Tanımı This course aims to provide information about integration techniques and applications, define functions of several variables, partial differentiation and multiple integration.
    Dersin İlişkili Olduğu Sürdürülebilir Kalkınma Amaçları
    -

     



    Dersin Kategorisi

    Temel Ders
    Uzmanlık/Alan Dersleri
    X
    Destek Dersleri
    İletişim ve Yönetim Becerileri Dersleri
    Aktarılabilir Beceri Dersleri

     

    HAFTALIK KONULAR VE İLGİLİ ÖN HAZIRLIK ÇALIŞMALARI

    Hafta Konular Ön Hazırlık Öğrenme Çıktısı
    1 The method of substitution Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 5.6, 5.7 -
    2 Integration by parts, integrals of rational functions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.1, 6.2 -
    3 Integrals of rational functions, inverse substitutions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.2, 6.3 -
    4 Inverse substitutions, improper Integrals Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.3, 6.5 -
    5 Solids of revolution Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 7.1 -
    6 Taylor and Maclaurin series, applications of Taylor and Maclaurin series, Functions of several variables Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 9.6, 9.7, 12.1 -
    7 Limits and continuity Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.2 -
    8 Partial derivatives, Gradients and directional derivatives Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.3, 12.7 -
    9 Midterm Exam -
    10 Gradients and directional derivatives, Extreme values Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.7, 13.1 -
    11 Extreme values, Extreme values of functions defined on restricted domains Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 13.1, 13.2 -
    12 Extreme values of functions defined on restricted domains, Lagrange multipliers Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 13.2, 13.3 -
    13 Iteration of double integrals in cartesian coordinates, double integrals in polar coordinates Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 14.2, 14.4 -
    14 Triple integrals. Change of variables in triple integrals Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 14.5, 14.6 -
    15 Semester review -
    16 Final -

     

    Ders Kitabı R Robert A. Adams
    Christopher Essex
    Calculus
    "A complete course"
    9th edition
    (Pearson
    2018). ISBN 978-0-13-415436-7
    Önerilen Okumalar/Materyaller -

     

    DEĞERLENDİRME ÖLÇÜTLERİ

    Yarıyıl Aktiviteleri Sayı Katkı Payı % LO1 LO2 LO3 LO4 LO5 LO6 LO7
    Küçük Sınav / Stüdyo Kritiği 5 20 X X X X X X X
    Ara Sınav 1 30 X X X X X X X
    Final Sınavı 1 50 X X X X X X X
    Toplam 7 100

     

    AKTS / İŞ YÜKÜ TABLOSU

    Yarıyıl Aktiviteleri Sayı Süre (Saat) İş Yükü
    Katılım - - -
    Teorik Ders Saati 16 2 32
    Laboratuvar / Uygulama Ders Saati 16 2 32
    Sınıf Dışı Ders Çalışması 14 3 42
    Arazi Çalışması - - -
    Küçük Sınav / Stüdyo Kritiği 5 4 20
    Portfolyo - - -
    Ödev - - -
    Sunum / Jüri Önünde Sunum - - -
    Proje - - -
    Seminer/Çalıştay - - -
    Sözlü Sınav - - -
    Ara Sınavlar 1 22 22
    Final Sınavı 1 32 32
        Toplam 180

     

    DERSİN ÖĞRENME ÇIKTILARININ PROGRAM YETERLİLİKLERİ İLE İLİŞKİSİ

    # PC Alt Program Yeterlilikleri / Çıktıları * Katkı Düzeyi
    1 2 3 4 5
    1

    Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computation, and related engineering discipline-specific topics; the ability to apply this knowledge to solve complex engineering problems.

    1

    Mathematics

    LO1 LO2 LO3 LO4 LO5 LO6 LO7
    2

    Science

    3

    Basic Engineering

    4

    Computation

    5

    Related engineering discipline-specific topics

    6

    The ability to apply this knowledge to solve complex engineering problems

    2

    Problem Analysis: Ability to identify, formulate and analyze complex engineering problems using basic knowledge of science, mathematics and engineering, and considering the UN Sustainable Development Goals relevant to the problem being addressed.

    3

    Engineering Design: The ability to devise creative solutions to complex engineering problems; the ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions.

    1

    Ability to design creative solutions to complex engineering problems

    2

    Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions

    4

    Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while recognizing their limitations.

    5

    Research and Investigation: Ability to use research methods to investigate complex engineering problems, including literature research, designing and conducting experiments, collecting data, and analyzing and interpreting results.

    1

    Literature research for the study of complex engineering problems

    2

    Designing experiments

    3

    Ability to use research methods, including conducting experiments, collecting data. analyzing and interpreting results

    6

    Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals; awareness of the legal implications of engineering solutions.

    1

    Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals

    2

    Awareness of the legal implications of engineering solutions

    7

    Ethical Behavior: Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility; awareness of being impartial, without discrimination, and being inclusive of diversity.

    1

    Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility ethical responsibility

    2

    Awareness of being impartial and inclusive of diversity, without discriminating on any subject

    8

    Individual and Teamwork: Ability to work effectively, individually and as a team member or leader on interdisciplinary and multidisciplinary teams (face-to-face, remote or hybrid).

    1

    Ability to work individually and within the discipline

    2

    Ability to work effectively as a team member or leader in multidisciplinary teams (face-to-face, remote or hybrid)

    9

    Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession) on technical issues.

    1

    Ability to communicate verbally

    2

    Ability to communicate effectively in writing

    10

    Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation.

    1

    Knowledge of business practices such as project management and economic feasibility analysis

    2

    Awareness of entrepreneurship and innovation

    11

    Lifelong Learning: Lifelong learning skills that include being able to learn independently and continuously, adapting to new and developing technologies, and thinking questioningly about technological changes.

    *1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest


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