Basic Math with applications (Science)

This course is an extension of our existing Basic Math course that contains exercises about real-life applications relevant for science majors.

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Course content

Numbers

Integers

Negative numbers

Fractions

Powers and roots

Ratios

Algebra

Variables

Calculating with exponents and roots

Expanding brackets

Factorization

Notable Products

Adding and subtracting fractions

Linear formulas and equations

Formulas

Linear functions

Linear equations and inequalities

Applications: Linear formulas and equations

Systems of linear equations

An equation of a line

Two equations with two unknowns

Applications: Systems of linear equations

Quadratic equations

Parabola

Solving quadratic equations

Drawing parabolas

Intersection points of parabolas

Quadratic inequalities

Applications: Quadratic equations

Functions

Domain and range

Power functions

Higher degree polynomials

Power functions and root functions

Fractional functions

Applications: Functions

Exponential functions and logarithms

Exponential functions

Logarithmic functions

The base e and the natural logarithm

Applications: Exponential functions and logarithms

Trigonometry

Angles with sine, cosine and tangent

Trigonometric functions

Applications: Trigonometry

Differentiation

The derivative

The derivative of power functions

Sum and product rule

Chain rule

The derivative of standard functions

Quotient rule

Mixed exercises differentiation

Applications of derivatives

Applications: Differentiation

Geometry

Lines

Circles

Parametric curves

Applications: Geometry

Integration

Antiderivatives

The definite integral

Integration techniques

Applications: Integration

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Or visit omptest.org if jou are taking an OMPT exam.

Or visit omptest.org if jou are taking an OMPT exam.