Calculus BAS011 Course Information
10 Questions
15 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

Which of the following correctly defines an even function?

  • A function where f(-x) = -f(x) for all x in the domain
  • A function where f(x) = -f(-x) for all x in the domain
  • A function where f(x) = -f(x) for all x in the domain
  • A function where f(x) = f(-x) for all x in the domain (correct)
  • For the function g(x) = x - 2, is it even, odd, or neither even nor odd?

  • Even
  • Neither even nor odd (correct)
  • Not enough information to determine
  • Odd
  • What is the range of the function h(x) = |x - 9|?

  • [0, ∞) (correct)
  • [0, ∞) (correct)
  • (−∞, ∞)
  • (−∞, 1)
  • Based on the given inequality |x - 2| < 5, what is the solution set for x?

    <p>(−∞, −3] ∪ [7, ∞)</p> Signup and view all the answers

    Which of the following best describes an increasing function?

    <p>A function where f(x) &lt; f(y) whenever x &lt; y</p> Signup and view all the answers

    Which of the following best describes an odd function?

    <p>The function satisfies f(x) = -f(-x) for all x in the domain</p> Signup and view all the answers

    What is the range of the function h(x) = |x - 9|?

    <p>All non-negative real numbers</p> Signup and view all the answers

    Which of the following correctly defines an even function?

    <p>The function satisfies f(x) = f(-x) for all x in the domain</p> Signup and view all the answers

    Based on the given inequality |x - 2| < 5, what is the solution set for x?

    <p>(−∞, −3] ∪ [7, ∞)</p> Signup and view all the answers

    For the function g(x) = x - 2, is it even, odd, or neither even nor odd?

    <p>Neither even nor odd</p> Signup and view all the answers

    Study Notes

    Course Information

    • The course is Calculus (BAS011) at Sphinx University, taught by Associate Professor Dr. Mahmoud Owais
    • The course consists of 12 lectures (2 hours each) and 9 tutorial sheets (2 hours each)

    Readings

    • The course uses two textbooks: Stewart, J. (2015) Calculus, Brooks/Cole Publishing Company, 8th edition, and Briggs, Cochran and Gillett (2015), Calculus, Pearson, 2nd edition

    Topics Covered

    • Differentiation (7 lectures): Functions, Limits, Continuity, Derivatives, Application of Differentiation
    • Integrations (5 lectures): Integration, Integration techniques, Definite Integral, Numerical Methods for integration

    Assessment System

    • 40% Final exam
    • 30% Mid-term exam
    • 10% Semester work
    • 20% Lectures
    • 10% Tutorial

    Important Remarks

    • Lectures notes are available, and the white board is an essential element of this course
    • Students are advised to take notes in lectures, copying from the white board
    • Attempting all homework problems and reviewing material before each exam is recommended

    Lecture 1

    • Topics covered: Inequalities, Functions, Domain and Range
    • Example problem: Solving the inequality 2x + 5 < 13
    • Solution: 2x + 5 < 13 ⇒ 2x < 8 ⇒ x < 4 ⇒ x ∊ (−∞, 4)
    • The solution is an open interval

    Studying That Suits You

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

    Quiz Team

    Description

    Get practical information about the Calculus BAS011 course at Sphinx University, including lectures, tutorials, and readings. The course covers topics such as differentiation, integration, limits, continuity, derivatives, and application of differentiation.

    More Like This

    Brief Calculus Quiz
    26 questions

    Brief Calculus Quiz

    CompatibleMandolin avatar
    CompatibleMandolin
    Calculus AB Limits Flashcards
    40 questions
    Use Quizgecko on...
    Browser
    Browser