Elementary math for technical faculties

Learn the math needed to pass the entrance exams and prepare yourself for college challenges

Course benefits

  • - Collection of 700+ unique, hand-picked practice problems
  • - Access to recordings of the lessons
  • - Access to boards written during the lesson
  • - 24/7 availability for any questions

Course content

Module #1: Intro to math

1.1 Sets

Definition of natural, whole, rational, irrational, real and complex numbers.

1.2 Functions

Functions, domains and codomains, injectivity, surjectivity and bijectivity. Inverse functions.

1.3 Simplifying expressions

Working with exponents and fractions. Algebraic formulas.

Module #2: Elementary functions, equations and inequalities

2.1 Linear functions

Linear functions, equations and inequalities. Linear systems of equations.

2.2 Absolute functions

Absolute functions, equations and inequalities.

2.3 Quadratic functions

Quadratic functions, equations and inequalities. Vietas formulas, discriminant, quadratic formula.

2.4 Irrational functions

Irrational functions, equations and inequalities. Irrational domains.

2.5 Exponential functions

Exponential functions, equations and inequalities.

2.6 Logarithmic functions

Logarithmic functions, equations and inequalities.

2.7 Trigonometry

Trigonometric functions, equations and inequalities. Trigonometric identities.

Module #3: Geometry

3.1 Planimetry

Geometry in the plane. Basic shapes and formulas.

3.2 Stereometry

Geometry in space. Basic shapes and formulas.

3.3 Analytic geometry

Advanced geometry in the plane. Equations of lines, circles, parabolas and hyperbolas. Ellypses

Module #4: Miscellaneous

4.1 Complex numbers

Algebraic, trigonometric and exponential form of complex numbers. Modules and arguments.

4.2 Polynomials

Order of polynomial. Polynomial roots. Long division.

4.3 Sequences and series

Definitions of sequences and series. Interpolation. Recursive sequences.

4.4 Combinatorics

Combinations, variations and permutations.

4.5 Number systems

Binary, octal, decimal and hexadecimal numbers. Conversion from one system to another. Systems with arbitrary bases.

4.6 Proportions

Direct and inverse relations.

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