Podcast
Questions and Answers
Which of the following correctly defines an even function?
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?
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|?
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?
Based on the given inequality |x - 2| < 5, what is the solution set for x?
Which of the following best describes an increasing function?
Which of the following best describes an increasing function?
Which of the following best describes an odd function?
Which of the following best describes an odd function?
What is the range of the function h(x) = |x - 9|?
What is the range of the function h(x) = |x - 9|?
Which of the following correctly defines an even function?
Which of the following correctly defines an even function?
Based on the given inequality |x - 2| < 5, what is the solution set for x?
Based on the given inequality |x - 2| < 5, what is the solution set for x?
For the function g(x) = x - 2, is it even, odd, or neither even nor odd?
For the function g(x) = x - 2, is it even, odd, or neither even nor odd?
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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
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