Assistant Professor - Mathematics Interview Questions and Answers

Orthogonality is a condition where two vectors are perpendicular to each other.

• Orthogonality is a property of vectors in a Euclidean space.

• Two vectors are orthogonal if their dot product is zero.

• Orthogonality is used in various mathematical fields such as linear algebra and calculus.

• Examples of orthogonal vectors include (1,0) and (0,1) in a 2D plane, and (1,0,0) and (0,1,0) in a 3D space.

The director circle is the locus of the centers of all circles that are tangent to two given circles.

• The equation of the director circle can be found using the equation of the given circles.

• The center of the director circle is the midpoint of the line joining the centers of the given circles.

• The radius of the director circle is half the difference of the radii of the given circles.

• The equation of the director circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center o...read more

Director Circle is a group of individuals who provide guidance and support to a company's board of directors.

• Director Circle members are typically experienced business leaders or industry experts.

• They may provide advice on strategic planning, financial management, or other key areas.

• The Director Circle may meet regularly with the board of directors to discuss important issues and provide input.

• Membership in the Director Circle is often by invitation only and may be limited to...read more

I come from a family with a strong academic background and have worked as a Mathematics lecturer for the past 5 years.

• My parents are both professors of Mathematics at a renowned university.

• I have a Master's degree in Mathematics and have been working as a lecturer for the past 5 years.

• My siblings are also highly educated and work in fields such as engineering and finance.

Fourier series is a mathematical representation of a periodic function as a sum of sine and cosine functions.

• It is named after French mathematician Joseph Fourier.

• It is used to analyze and synthesize periodic functions.

• It is widely used in signal processing, image processing, and other fields.

• The Fourier series of a function f(x) is given by a0/2 + Σ(an*cos(nx) + bn*sin(nx)), where a0, an, and bn are constants.

• The Fourier series can be used to approximate a function by trunca...read more