THE MATH COMPASS
Clear, step-by-step explanations to help you navigate the world of mathematics with confidence.
MATH TOPICS
ALGEBRA
Master equations, functions, and algebraic relationships with clear explanations.
CALCULUS
Understand limits, derivatives, and integrals with step-by-step walkthroughs.
GEOMETRY
Explore shapes, transformations, and spatial relationships visually.
STATISTICS
Make sense of data analysis, probability, and statistical methods.
WEEKLY VIDEOS
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MMONDAYS
Algebra & Pre-Calculus
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WWEDNESDAYS
Calculus & Advanced Topics
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FFRIDAYS
Problem-Solving Strategies
SPECIAL CONTENT
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MONTHLY
Math History & Applications
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BI-WEEKLY
Q&A and Homework Help
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EXAM SEASON
Review Sessions
FEATURED PLAYLISTS
Start from zero and build your calculus knowledge step by step.
Essential algebraic concepts explained with clarity and detail.
Strategies and techniques to tackle challenging math problems.
MATH TOOLS
PROBLEM SOLVER
Try algebra equations (like x + 5 = 10) or arithmetic operations (like 25 ÷ 5)
SOLUTION:
STEP-BY-STEP SOLUTION:
FORMULA REFERENCE
QUADRATIC FORMULA
For equation $ax^2 + bx + c = 0$
COMPLETING THE SQUARE
Used to rewrite quadratic expressions
BINOMIAL EXPANSION
Where ${n \choose k}$ is the binomial coefficient
DERIVATIVE RULES
Power Rule: $$\frac{d}{dx}(x^n) = nx^{n-1}$$
Exponential: $$\frac{d}{dx}(e^x) = e^x$$
Logarithmic: $$\frac{d}{dx}(\ln(x)) = \frac{1}{x}$$
INTEGRATION RULES
Power Rule: $$\int x^n dx = \frac{x^{n+1}}{n+1} + C, \quad n \neq -1$$
Exponential: $$\int e^x dx = e^x + C$$
Logarithmic: $$\int \frac{1}{x} dx = \ln|x| + C$$
AREA FORMULAS
Rectangle: $$A = l \times w$$
Triangle: $$A = \frac{1}{2} \times b \times h$$
Circle: $$A = \pi r^2$$
VOLUME FORMULAS
Cube: $$V = s^3$$
Sphere: $$V = \frac{4}{3} \pi r^3$$
Cylinder: $$V = \pi r^2 h$$
PYTHAGOREAN THEOREM
In a right triangle, where $c$ is the hypotenuse
DESCRIPTIVE STATISTICS
Mean: $$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$
Variance: $$\sigma^2 = \frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n}$$
Standard Deviation: $$\sigma = \sqrt{\sigma^2}$$
PROBABILITY
Binomial Probability: $$P(X = k) = {n \choose k} p^k (1-p)^{n-k}$$
Normal Distribution: $$f(x) = \frac{1}{\sigma\sqrt{2\pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}$$
MORE INTERACTIVE TOOLS
FUNCTION GRAPHER
Visualize mathematical functions and explore their properties
MATRIX CALCULATOR
Perform operations on matrices with step-by-step explanations
PRACTICE QUIZZES
Test your skills with customized practice problems and feedback