Dear experts,

I am planning to Masters of Science in Financial Engineering (FE).

I do not have math background at all. So I have resigned from my job and now doing mathematics.

I am unable to determine whether the expertise in the following list of topics is a prerequisite for FE (See below list). I generally consult

https://quantnet.com/ for details. But i am not getting any clue for the below topics.

I am clear about the rest of the topics (At high level which are required) as a pre-requisite for FE.

When i say expertise, I mean an indepth subject knowledge. By mean knowledge i mean knowing/learning to the extent it is needed to complete another topic.

Kindly guide me.

COORDINATE GEOMETRY

01. Circle :

1.1 Equation of circle -standard form-centreand radius of a circle with a given linesegment as diameter & equation of circlethrough three non collinear points -parametric equations of a circle.

1.2 Position of a point in the plane of a circle -power of a point-definition of tangent-lengthof tangent

1.3 Position of a straight line in the plane of acircle-conditions for a line to be tangent -chord joining two points on a circle -equation of the tangent at a point on thecircle- point of contact-equation of normal.

1.4 Chord of contact - pole and polar-conjugatepoints and conjugate lines - equation ofchord with given middle point.

1.5 Relative position of two circles- circlestouching each other externally, internallycommon tangents -centers of similitude-equation of pair of tangents from an externalpoint.

02. System of circles:

2.1 Angle between two intersecting circles.

2.2 Radical axis of two circles- properties-Common chord and common tangent of two circles - radical centre.

2.3 Intersection of a line and a Circle.

03. Parabola:

3.1 Conic sections -Parabola- equation ofparabola in standard form-different formsof parabola- parametric equations.

3.2 Equations of tangent and normal at a pointon the parabola ( Cartesian and parametric)

04. Ellipse:

4.1 Equation of ellipse in standard form-Parametric equations.

4.2 Equation of tangent and normal at a pointon the ellipse (Cartesian and parametric)-condition for a straight line to be a tangent.

05. Hyperbola:

5.1 Equation of hyperbola in standard form-Parametric equations.

5.2 Equations of tangent and normal at a pointon the hyperbola (Cartesian andparametric)- conditions for a straight line tobe a tangent- Asymptotes.

COORDINATE GEOMETRY

Locus :

Definition of locus - Illustrations.

To find equations of locus - Problems connected to it.

Transformation of Axes :

Transformation of axes - Rules, Derivations and Illustrations.

Rotation of axes - Derivations - Illustrations.

The Straight Line :

Revision of fundamental results.

Straight line - Normal form - Illustrations.

Straight line - Symmetric form.

Straight line - Reduction into various forms.

Intersection of two Straight Lines.

Family of straight lines - Concurrent lines.

Condition for Concurrent lines.

Angle between two lines.

Length of perpendicular from a point to a Line.

Distance between two parallel lines.

Concurrent lines - properties related to a triangle

Pair of Straight lines:

Equations of pair of lines passing through origin, angle between a pair of lines.

Condition for perpendicular and coincident lines, bisectors of angles.

Pair of bisectors of angles.

Pair of lines - second degree general equation.

Conditions for parallel lines - distance between them, Point of intersection of pair of lines.

Homogenizing a second degree equation with a first degree equation in X and Y.

5 Three Dimensional Coordinates:

Coordinates.

Section formulas - Centroid of a triangle and tetrahedron.

6 Direction Cosines and Direction Ratios :

Direction Cosines.

Direction Ratios.

7 Plane :

Cartesian equation of Plane - Simple Illustrations.

Thank you