Engineering Mathematics Made Easy

Algebra & Complex Numbers

• Solve any Equation or Inequality
• Solve 2x2 system - Step by Step
• READ: PEMDAS - Order of Operation
• Simplify & Evaluate
• Find Partial Fractions
• Solve Proportion (Ratio) Problems
• Find Slope
• Find y=mx+b
• Find Parallel and Perpendicular Lines
• Do the Quadratic Equation
• One Complex Number : All-in-one-Explorer
• Two Complex Numbers : All-in-one-Explorer

Exponents & Logarithms

• READ: Exponents & Rules
• Solve Money/Exponential Growth Problems
• READ: Logarithms & Rules
• Evaluate Logarithms
• Logarithm Solver
• Explicit Sequence & Partial Sum
• Recursive Sequence & Partial Sum
• Sequence Formula Finder
• Geometric Sequence & Series
• Arithmetic Sequence
• Sigma S-Notation

Vectors & Matrices

• READ: Vector Rules
• 2D: Vector Length
• 3D: Unit Vector
• All in one Matrix A Explorer
• Two Matrices: A+B
• Find the Inverse of A
• Find the Determinant of A
• Row Echolon(A)
• Reverse Row Echolon(A) - STEPS
• EigenValues - STEPS
• EigenVectors - STEPS
• Solve System of Equations A*X=B
• Cramer Rule to solve A*X=B

Trigonometry & Conics

• READ: Intro
• Solve any 90 degree Triangle
• Solve any triangle
• SSS-Case
• SAS-Case
• SSA-Case
• SAA-Case
• Evaluate sin(x)
• READ: Circle Properties & Formulas
• READ: Trig Identities
• Find Sector
• Arc Length Solver
• All-in-One Conic Analyzer

Combinatorics & Probability

• n1*n2*n3*.. = Multiplication Principle
• n! = Number of Rearrangements
• nPr = Number of ways to rearrange r given n
• nCr = Number of ways to pick r given n
• Find Average
• Find Std Deviation
• Find Weighted Average
• Read: Probability Introduction & Examples
• Read: Probability Rules & Properties
• Conditional Probability
• Expected Value: Find mu and s
• Read: Cards
• Read: Dice
• Read: Marbles
• Read: Coins
• P(A or B)=P(A)+P(B)-P(A and B)

Statistics

• Binomial Distribution Table
• Cumulative Binomial Distribution
• Normal Distribution
• Read: About Normal Distributions
• Find Regression Line y=mx+b
• Find Regression Line y=mx+b Step by Step
• Read: All about Linear Regression
• Read: About Tests of Significance
• Z-score Solver
• Z-Test for Mean Ho:mu=mu_o
• Z-Test for Means Ho:mu1=mu2
• Z-Test for Proportion Ho:p=po
• Z-Test for Proportions Ho:p1=p2
• Read: Confidence Intervals & their Behavior
• CI for Mean mu with known Standard Deviation
• CI for Proportion p

Calculus & Numerics

• Newton Method
• Bisection Method
• READ: Limit Rules
• Compute 1- and 2-sided Limits: lim x->c f(x)
• L'Hopital Rule
• READ: Differentiation Rules
• Find f'(x)=lim [f(x+h)-f(x)]/h as h->oo
• Derivatives and Tangentline
• Critical Points
• Points of Inflection & Concavity
• READ: Integration Rules
• Antiderivatives & Integrals
• Definite Integral (Netarea) f(x)dx over [a,.b]
• APPS: VOLUME - Disk Method about x-axis
• Area Approx. RAMS
• Limits: lim (x,y) as (x,y)->(xo,yo)
• Partial Derivatives and Gradient
• Total Differential: x*dx+y*dy
• Chain Rule
• Relative Extrema of f(x,y)
• Multiple Integrals:

Differential Equations & Transforms

• Solve any 1. order D.E.
• M(x,y)dx+N(x,y)dy=0
• Linear in y Differential Equation
• Newtons Law of Cooling / Heating
• Euler Method given n=Number of Pts.
• Solve any 2. order D.E.
• Homogeneous Differential Equation
• Non-Homogeneous Differential Equation
• Laplace Transform
• Inverse Laplace Transform
• Table of Laplace Transforms
• Fourier Series of f(x) over [a,b]
• Table of Fourier Transforms

Convert

• Polar Coordinates <-> (x,y)
• Degree <-> Radian
• Degree <-> Degree/Minutes/Seconds
• Revolution to Degree/Radian
• Revolution/Min to Radian/Sec

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