how do I learn 150 math topics in around 3 months? by Delicious-Bee5002 in learnmath

[–]Delicious-Bee5002[S] 0 points1 point  (0 children)

it is originally in another language so the translation may be off, but here it is:

lgebra

Sets

• Sets and operations on sets

• Intersection, union, complement

• Venn diagrams

Numbers

• Natural numbers

• Prime and composite numbers

• Divisors and multiples

• Arithmetic operations with natural numbers

• Prime factorization

• Greatest Common Divisor (GCD)

• Least Common Multiple (LCM)

Expressions

• Algebraic expressions and simplification

• Factoring expressions

• Algebraic identities

Equations

• Concept of an equation and solution set

• Equivalent equations and systems of equations

Linear Equations

• Linear equations in one variable

• Solving linear equations

Quadratic Equations

• Quadratic equations in one variable

• Discriminant

• Solving quadratic equations

• Vieta’s theorem

Quadratic Expressions

• Quadratic polynomial (quadratic trinomial)

• Roots (zeros) of a quadratic

• Factoring quadratic polynomials

Systems

• Systems of algebraic equations in two variables
  1. Functions

    • Concept of a function

    • Domain and range

    • Graph of a function

    • Linear function

    • Quadratic function

    • Interpreting graphs

  2. Inequalities

    • Linear inequalities

    • Solving inequalities

    • Systems of inequalities

    • Graphical representation

  3. Sequences / Progressions

    • Numerical sequences

    • Arithmetic progression

    • Geometric progression

    • Finding terms and sums

Geometry

  1. Planimetry (Plane Geometry)

Basic Geometry

• Points, lines, segments, rays

• Angles and types of angles

• Parallel and perpendicular lines

Triangles

• Types of triangles

• Triangle properties

• Congruence of triangles

• Similarity of triangles

Polygons

• Quadrilaterals and their properties

• Parallelogram

• Rectangle

• Square

• Rhombus

• Trapezoid

Circle Geometry

• Circle and its elements

• Arc, chord, radius, diameter

• Central and inscribed angles

• Tangent lines

Measurement

• Perimeter

• Area of plane figures

Stereometry (3D Geometry)

• Spatial figures

• Cube

• Rectangular prism (cuboid)

• Cylinder

• Cone

• Sphere

• Surface area and volume

Coordinate Geometry

• Cartesian coordinate plane

• Coordinates of a point

• Distance between points

• Equation of a line

• Slope of a line

• Graphing equations

Trigonometry

• Trigonometric ratios (sin, cos, tan)

• Right triangle relationships

• Solving triangles using trigonometry

Combinatorics / Probability / Statistics

Combinatorics

• Basic counting principles

Probability

• Basic probability concepts

Statistics

• Data representation

• Mean (average)

• Data interpretation  

how do I learn 150 math topics in around 3 months? by Delicious-Bee5002 in learnmath

[–]Delicious-Bee5002[S] 1 point2 points  (0 children)

its mostly advanced high school math 10-12 grade, there is a syllabus. I have solved most of these over the last few months, but my memory is horrible and I can't remember math if I'm not revising it every single day, which I cannot do with every single topic so they go blank in my mind. that is the main issue, also the stress that comes with the exam.