Engineering Mathematics Diploma Syllabus
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Questions and Answers

What is the relationship between the first derivative of a function and its local maxima and minima?

  • The first derivative changes sign at local maxima and minima. (correct)
  • The first derivative is negative at local minima.
  • The first derivative is always positive at local maxima.
  • The first derivative is zero at local minima.

    • Which method is most suitable for evaluating the integral of a product of two functions?

  • Integration by substitution.
  • Definite integration.
  • Numerical integration.
  • Integration by parts. (correct)

    • When determining the area enclosed by curves using integration, which of the following steps is essential?

  • Solving simultaneous equations.
  • Calculating the second derivative.
  • Evaluating the limits of integration. (correct)
  • Finding the roots of the functions involved.

    • What is the main purpose of finding the second derivative of a function?

    <p>To determine the concavity and points of inflection.</p> Signup and view all the answers

    What is the proper definition of an indefinite integral?

    <p>An integral representing an anti-derivative of a function.</p> Signup and view all the answers

    During the evaluation of a definite integral, which of the following expressions represents the result?

    <p>The net area under the curve from the upper to the lower limit.</p> Signup and view all the answers

    When using the substitution method to evaluate an integral, what is a critical first step?

    <p>Determining what substitution simplifies the integral.</p> Signup and view all the answers

    What is one application of calculus regarding the volume generated by curves?

    <p>Finding the volume when a curve rotates about an axis.</p> Signup and view all the answers

    Which statement describes the difference between elastic and plastic bodies?

    <p>Elastic bodies can return to their original shape after deformation, while plastic bodies cannot.</p> Signup and view all the answers

    What is the least count of a micrometer screw gauge typically used for precision measurements?

    <p>0.001 mm</p> Signup and view all the answers

    Which of the following correctly defines Young's modulus?

    <p>The ratio of tensile stress to tensile strain within the elastic limit.</p> Signup and view all the answers

    What effect does an increase in temperature generally have on surface tension?

    <p>It decreases surface tension.</p> Signup and view all the answers

    What is the correct relationship involving pressure, volume, and temperature of a gas?

    <p>Pressure is inversely proportional to volume at constant temperature.</p> Signup and view all the answers

    Which is a characteristic property of laser light?

    <p>Laser light is monochromatic and coherent.</p> Signup and view all the answers

    Which of the following is an example of a good conductor of heat?

    <p>Copper</p> Signup and view all the answers

    What is a common misconception about the statistical nature of error in measurements?

    <p>There is a difference between absolute and relative error.</p> Signup and view all the answers

    Which of the following components is NOT typically associated with workflows in organizational settings?

    <p>Customer interfaces</p> Signup and view all the answers

    In the context of Enterprise Resource Planning (ERP), which of the following is considered an essential feature of ERP software tools?

    <p>Real-time data processing</p> Signup and view all the answers

    Which Cloud service model offers the highest level of control to the user?

    <p>IaaS</p> Signup and view all the answers

    What is a primary reason for the evolution of ERP systems over time?

    <p>To integrate various business functions into a unified system</p> Signup and view all the answers

    Which of the following platforms is NOT a recognized tool for creating workflows?

    <p>Photoshop</p> Signup and view all the answers

    What is the primary function of a biomass power plant in energy generation?

    <p>To convert organic materials into fuel</p> Signup and view all the answers

    Which of the following best describes a key benefit of biomass energy?

    <p>It reduces waste through utilization</p> Signup and view all the answers

    In the context of power generation economics, what does 'peak load plants' refer to?

    <p>Plants that typically only run during high demand times</p> Signup and view all the answers

    What is the significance of a load duration curve in power generation?

    <p>It indicates the variability of electrical demand over time</p> Signup and view all the answers

    What characteristic defines high voltage transmission lines?

    <p>They minimize energy loss over long distances</p> Signup and view all the answers

    Which type of biogas plant is primarily used for large-scale biogas production?

    <p>Continuous biogas plant</p> Signup and view all the answers

    Which combination describes a Hybrid PV system?

    <p>Solar and wind energy systems combined</p> Signup and view all the answers

    What is one of the common challenges in biomass energy utilization?

    <p>It requires a significant amount of space for production</p> Signup and view all the answers

    What is the primary objective of application development as outlined in the course content?

    <p>To ignite and promote programming skills</p> Signup and view all the answers

    Which of the following platforms is intended for creating simple Android applications without prior programming knowledge?

    <p>MIT App Inventor</p> Signup and view all the answers

    What skill set is NOT listed under Unit 1 regarding computer programming?

    <p>Create and write debug scripts</p> Signup and view all the answers

    What is an essential tool for developing flowcharts as per the course outline?

    <p>Draw.io</p> Signup and view all the answers

    Which of the following is an recommended platform to learn coding through hands-on experience?

    <p>Scratch</p> Signup and view all the answers

    In the context of web page design, what is the primary focus of Unit 2?

    <p>Basic web technologies</p> Signup and view all the answers

    What kind of problems does the course expect students to solve using flowchart design?

    <p>Programmable problems</p> Signup and view all the answers

    Which of the following is excluded from the coding platforms suggested for students?

    <p>Appy Pie</p> Signup and view all the answers

    What distinguishes isotopes from isobars?

    <p>Isotopes have different atomic masses but the same atomic number.</p> Signup and view all the answers

    Which of the following statements is true regarding the octet rule?

    <p>Atoms tend to lose, gain, or share electrons to achieve a full outer shell of eight electrons.</p> Signup and view all the answers

    During electrolysis, what occurs at the cathode?

    <p>Reduction of cations.</p> Signup and view all the answers

    What is the significance of Faraday's second law of electrolysis?

    <p>It states that the amount of substance altered at an electrode during electrolysis is proportional to the current used.</p> Signup and view all the answers

    Which property distinguishes metals from non-metals?

    <p>Conductivity.</p> Signup and view all the answers

    What defines an electrovalent compound?

    <p>It is composed of oppositely charged ions held together by electrostatic forces.</p> Signup and view all the answers

    What explicitly influences the degree of ionization based on Arrhenius Theory?

    <p>The strength of the acid or base.</p> Signup and view all the answers

    Which of the following is a characteristic property of alloys?

    <p>Alloys usually exhibit improved mechanical properties compared to pure metals.</p> Signup and view all the answers

    Study Notes

    Syllabus Information

    • Document is a syllabus for a Diploma Program in EE/EEE, effective from 2024-2025
    • Location is Jharkhand University of Technology, Ranchi, 834010
    • Branch is EE/EEE
    • Subject: Engineering Mathematics

    Engineering Mathematics Course Skill Set

    • Students will be able to solve systems of linear equations in different engineering fields
    • Students will be able to apply knowledge of calculus to support concurrent and subsequent engineering studies
    • Students will be able to solve quantitative problems
    • Students will demonstrate understanding of concrete and abstract problems
    • Students will have proficiency in communicating mathematical ideas
    • Students will be detail-oriented

    Details of Mathematics Course Content

    • Topics are taught and assessed to develop unit skill sets for achieving identified skill sets in a cognitive domain
    • Unit 1: Matrices and Determinants
      • Matrix types and examples
      • Matrix operations (addition, subtraction, scalar multiplication, and multiplication)
      • Evaluation of determinants for matrices of order 2 and 3
      • Techniques for solving systems of linear equations (e.g., Cramer's rule)
      • Properties of singular matrices
      • Finding adjoints and inverses of non-singular matrices
    • Other Units:
      • Content outlines detailed topics for subsequent units, including Straight Lines, Trigonometry, Differential Calculus, and Integral Calculus, with subtopics and related problem-solving methods

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    Jharkhand University of Technology EE/EEE Syllabus PDF 2024-25

    Description

    This syllabus outlines the Engineering Mathematics course for the Diploma Program in Electrical Engineering and Electrical & Electronics Engineering at Jharkhand University of Technology. Students will develop skills in solving linear equations, applying calculus, and addressing both concrete and abstract mathematical problems.

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