Elementary Mathematics II Quiz
38 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the name of the course?

Elementary Mathematics II

What is the course code?

MTH 102

What are the major components of the course?

  • Presentation Schedule (correct)
  • Study Units (correct)
  • CDs (correct)
  • Course Guide (correct)
  • Assignments File (correct)
  • Textbooks (correct)
  • The course has a total of 10 study units.

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

    The course aims to familiarize students with the peculiar characteristics of elementary mathematics.

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

    The course objectives include educating learners on how integrate mathematical models in sciences and engineering.

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

    Which of these are recommended texts for the course? (Select all that apply)

    <p>Business Mathematics and Information Technology. ACCA STUDY MANUAL by Foulks Lynch</p> Signup and view all the answers

    The marks obtained from tutor-marked assignments (TMAs) will count towards the final course mark.

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

    The final examination constitutes 30% of the final grade.

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

    The study units replace university lectures in distance learning.

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

    What is the first step suggested for students in distance learning?

    <p>Read the Course Guide</p> Signup and view all the answers

    What is the term used to describe a function defined by two or more equations over a specified domain?

    <p>Piecewise-defined function</p> Signup and view all the answers

    A one-to-one function can be tested using the vertical line test.

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

    The domain of a function is the set of all values that the independent variable can take on.

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

    The range of a function is the set of all values that the dependent variable can take on.

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

    What is the process of finding a derivative called?

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

    The derivative of a function is the slope of the tangent line to the graph of the function.

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

    The derivative of a constant is 0.

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

    The product rule states that the derivative of a product of two functions is the sum of the derivative of each function.

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

    The quotient rule states that the derivative of a quotient of two functions is the difference of the derivative of each function divided by the square of the denominator.

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

    The chain rule is used when differentiating a function of a function, which is also known as a composite function.

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

    Implicit functions are those where a relationship between x and y is implied, and y cannot be explicitly expressed as a function of x.

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

    The derivative of a constant is always 0.

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

    Integration is the inverse operation of differentiation.

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

    The symbol used for integration is the integral sign.

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

    The process of integration is often compared to what real-world scenario?

    <p>Filling a tank with water</p> Signup and view all the answers

    Integration can be used to find areas, volumes, and central points.

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

    The indefinite integral always includes an arbitrary constant, "c".

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

    The standard integral table provides a list of common integrals that can be directly used to compute integrals.

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

    Integration by parts is a method to integrate functions that involve the product of two functions.

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

    Integration by partial fractions is a method to integrate functions that involve rational expressions.

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

    The volume of a solid generated by revolving a curve around an axis is called the solid of revolution.

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

    The volume of a sphere can be calculated using integration.

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

    The volume of a solid of revolution generated by revolving a curve around the y-axis is calculated using the formula V = 2π * integral from a to b of x*f(x)*dx

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

    The volume of a solid of revolution generated by revolving a curve around the x-axis is calculated using the formula V = π * integral from a to b of (f(x))^2*dx

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

    The chain rule can be simplified using the formula: V = 2(x-1)2 + c

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

    Integration by parts is a method for integrating products of functions.

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

    Integration by partial fractions can be used when integrating rational expressions.

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

    Study Notes

    Course Information

    • Course Code: MTH 102
    • Course Title: Elementary Mathematics II
    • Institution: National Open University of Nigeria (NOUN)
    • School: School of Science and Technology

    Course Aims

    • Introduce fundamental mathematical concepts in elementary mathematics.
    • Familiarize students with the core characteristics of elementary mathematics.
    • Equip students with the mathematical tools needed in the science field.
    • Preparing students for contemporary science studies.

    Course Objectives

    • Provide students with a strong foundation in mathematical skills for science and engineering.
    • Enable students to apply mathematical techniques effectively to solve real-world problems.
    • Develop student's proficiency in the integration of mathematical concepts in scientific and engineering fields.

    Course Materials

    • Course Guide
    • Study Units
    • Textbooks
    • CDs
    • Assignment File
    • Presentation Schedule

    Study Units Breakdown

    • Module One: Includes units on functions, graphs, and limits.
    • Module Two: Covers derivatives, differentiation techniques, and integration.
    • Module Three: Includes units on definite integrals and volumes of solids.
    • Several textbooks suggested for further reading, including information on set theory, real analysis, and mathematical economics.

    Assessment Methods

    • Tutor-marked assignments (TMAs)
    • A final examination.
    • TMAs constitute 30% of the final grade
    • The final exam constitutes 70% of the final grade

    Course Marking Scheme

    • Assignments (30%)
    • Final Examination (70%)
    • Total (100%)

    How to Study

    • Carefully read the course guide and develop a personalized study schedule.
    • Work through each study unit systematically and carefully.
    • Seek assistance from course tutors when needed.
    • Submit assignments according to the schedule.
    • Regularly review the course materials to enhance comprehension and retention.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Related Documents

    Description

    Test your understanding of fundamental concepts covered in Elementary Mathematics II. This quiz will challenge your proficiency in mathematical tools essential for science and engineering disciplines. Prepare to apply your knowledge to various mathematical techniques relevant to real-world problems.

    More Like This

    Use Quizgecko on...
    Browser
    Browser