İzmir Ekonomi Üniversitesi
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  • FACULTY OF ENGINEERING

    Department of Mechanical Engineering

    MATH 154 | Course Introduction and Application Information

    Course Name
    Calculus II
    Code
    Semester
    Theory
    (hour/week)
    Application/Lab
    (hour/week)
    Local Credits
    ECTS
    MATH 154
    SPRING
    2
    2
    3
    6

    Prerequisites MATH 153 To get a grade of at least FD
    Course Language English
    Course Type Required (Core Course)
    Course Level First Cycle
    Mode of Delivery
    Teaching Methods and Techniques of the Course -
    National Occupational Classification Code -
    Course Coordinator
    • Dr. Öğr. Üyesi Demet Ersoy Özbek
    Course Lecturer(s)
    • Dr. Öğr. Üyesi Ayşe Beler
    • Dr. Öğr. Üyesi Neslişah İmamoğlu Karabaş
    • Doç. Dr. Meryem Odabaşı
    • Dr. Öğr. Üyesi Demet Ersoy Özbek
    Assistant(s) -
    Course Objectives 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.
    Learning Outcomes The students who succeeded in this course;
    Name Description PC Sub * Contribution Level
    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
    Course Description This course aims to provide information about integration techniques and applications, define functions of several variables, partial differentiation and multiple integration.
    Related Sustainable Development Goals
    -

     



    Course Category

    Core Courses
    Major Area Courses
    X
    Supportive Courses
    Media and Managment Skills Courses
    Transferable Skill Courses

     

    WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

    Week Subjects Required Materials Learning Outcome
    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 -

     

    Course Notes/Textbooks R Robert A. Adams
    Christopher Essex
    Calculus
    "A complete course"
    9th edition
    (Pearson
    2018). ISBN 978-0-13-415436-7
    Suggested Readings/Materials -

     

    EVALUATION SYSTEM

    Semester Activities Number Weighting LO1 LO2 LO3 LO4 LO5 LO6 LO7
    Quizzes / Studio Critiques 5 20 X X X X X X X
    Midterm 1 30 X X X X X X X
    Final Exam 1 50 X X X X X X X
    Total 7 100

     

    ECTS / WORKLOAD TABLE

    Semester Activities Number Duration (Hours) Workload
    Participation - - -
    Theoretical Course Hours 16 2 32
    Laboratory / Application Hours 16 2 32
    Study Hours Out of Class 14 3 42
    Field Work - - -
    Quizzes / Studio Critiques 5 4 20
    Portfolio - - -
    Homework / Assignments - - -
    Presentation / Jury - - -
    Project - - -
    Seminar / Workshop - - -
    Oral Exams - - -
    Midterms 1 22 22
    Final Exam 1 32 32
        Total 180

     

    COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

    # PC Sub Program Competencies/Outcomes * Contribution Level
    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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