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LVL: PRO 18H_EST Level 7

The STEM Foundation Bootcamp

Designed specifically for career switchers and adult learners, this intensive bootcamp strips away the fluff and delivers only the absolute essentials. In a matter of weeks, you will rebuild your numerical intuition, master logic, solve linear systems, and conquer coordinate geometry and vectors.

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Curriculum

1Part 1

Theory

Orders of magnitude

2General Concepts

Theory

Scientific notation: aimes10na imes 10^n

Theory

Approximation and estimation

Theory

Rounding errors and their accumulation

Theory

Basic operations: AND, OR, NOT

3Part 2

Theory

Truth tables

4General Concepts

Theory

Basic structure of statements (If A, then B; necessity and sufficiency)

Theory

Concept of dimensionality (length, mass, time, speed)

Theory

Conversion of units

Theory

Verifying formulas using dimensional analysis

5Part 3

Theory

Translating text into mathematical expressions

6General Concepts

Theory

Variables as models of the real world

Theory

Checking the answer for physical/logical adequacy

Theory

Graphical meaning of a system of two equations

Theory

Substitution method

7Part 4

Theory

Elimination method (addition/subtraction)

8General Concepts

Theory

Composition of functions (f(g(x))f(g(x)))

Theory

Inverse functions (f−1(x)f^{-1}(x))

Theory

Graph transformations (translations, stretches, reflections)

Theory

Even and odd functions (symmetry)

9Part 5

Theory

Distance between two points

10General Concepts

Theory

Midpoint coordinates

Theory

Slope and intercept

Theory

Equation of a line

Theory

Equation of a circle

11Part 6

Theory

Geometric meaning of intersecting graphs

12General Concepts

Theory

Concept of a vector, magnitude, and direction

Theory

Vector addition and subtraction (triangle and parallelogram rules)

Theory

Scalar multiplication of a vector

Theory

Dot product of vectors (geometric and coordinate meaning)

13Part 7

Theory

Graphs of sine and cosine (amplitude, period, phase shift)

14General Concepts

Theory

Graph of tangent and asymptotes

Theory

Exponential growth and decay

Theory

Concept of logarithms and their properties

Theory

Solving basic exponential and logarithmic equations