İzmir Ekonomi Üniversitesi
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  • FACULTY OF ENGINEERING

    Department of Mechanical Engineering

    MATH 153 | Course Introduction and Application Information

    Course Name
    Calculus I
    Code
    Semester
    Theory
    (hour/week)
    Application/Lab
    (hour/week)
    Local Credits
    ECTS
    MATH 153
    SPRING
    2
    2
    3
    6

    Prerequisites None
    Course Language English
    Course Type Required (Core Course)
    Course Level First Cycle
    Mode of Delivery
    Teaching Methods and Techniques of the Course Discussion Problem Solving Lecture / Presentation
    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
    • Prof. Dr. Burak Ordin
    • Prof. Dr. Tahsin Öner
    Assistant(s) -
    Course Objectives This course aims to built fundamentals of calculus and its applications for engineers.
    Learning Outcomes The students who succeeded in this course;
    Name Description PC Sub * Contribution Level
    1 2 3 4 5
    LO1 Will be able to calculate the derivatives of explicit and implicit functions. 1.1 X
    LO2 Will be able to examine the continuity of functions. 1.1 X
    LO3 Will be able to calculate the derivatives of explicit and implicit functions. 1.1 X
    LO4 Will be able to solve related application problems. 1.1 X
    LO5 Will be able to classify the critical points of functions. 1.1 X
    LO6 Will be able to plot the graphs of functions. 1.1 X
    LO7 Will be able to solve extreme value problems. 1.1 X
    Course Description Calculus I provides important tools in understanding functions of one variable and has led to the development of new areas of mathematics.
    Related Sustainable Development Goals
    -

     



    Course Category

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

     

    WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

    Week Subjects Required Materials Learning Outcome
    1 Graphs of quadratic functions, Polynomials and rational functions, the trigonometric functions, examples of velocity, growth rate and area Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section P3, P6, P7, 1.1 -
    2 Limits of Functions, limits at infinity and infinite limits Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 1.2, 1.3 -
    3 Continuity, tangent lines and their slopes Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 1.4, 2.1. -
    4 The derivative, differentiation rules, the chain rule, derivatives of trigonometric functions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 2.2, 2.3,2.4, 2.5. -
    5 Higher-order derivatives, the mean value theorem Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 2.6, 2.8. -
    6 Implicit differentiation, inverse functions, Exponential and logarithmic functions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section 2.9, 3.1, 3.2 -
    7 The natural logarithm and exponential. The inverse trigonometric functions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 3.3,3.5 -
    8 Midterm -
    9 Related rates, indeterminate forms Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.1, 4.3. -
    10 Extreme values, concavity and inflections Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.4, 4.5 -
    11 Sketching the graph of a function, extreme value problems to improve reading comprehension skills Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.6, 4.8 -
    12 Extreme value problems to improve reading comprehension skills, properties of the definite integral. The fundamental theorem of calculus Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) , Section 4.8, 5.4.5,5 -
    13 The method of substitution Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 5.6 -
    14 The method of substitution, areas of plane regions Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section 5.6, 5.7 -
    15 Semester review -
    16 Final exam -

     

    Course Notes/Textbooks "Calculus
    A complete course" by Robert A.Adams & Christopher Essex
    Publisher: Prentice Hall
    9th edition
    2013. ISBN-13: 978-0134154367.
    Suggested Readings/Materials ''Calculus
    Early Transcendentals''
    James Stewart
    Cengage Learning; 7th edition
    2010.ISBN-13:978-0538497909

     

    EVALUATION SYSTEM

    Semester Activities Number Weighting LO1 LO2 LO3 LO4 LO5 LO6 LO7
    Quizzes / Studio Critiques 4 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 6 100

     

    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 4 6 24
    Portfolio - - -
    Homework / Assignments - - -
    Presentation / Jury - - -
    Project - - -
    Seminar / Workshop - - -
    Oral Exams - - -
    Midterms 1 20 20
    Final Exam 1 30 30
        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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