Embedded Files
Pre-Calculus:
On-Line Calculator with Cal symbols
On-Line Calculator with Cal symbols
https://www.symbolab.com/solver/algebra-calculator
Domain of a Function: https://www.symbolab.com/solver/pre-calculus-function-domain-calculator/domain%20f%5Cleft(x%5Cright)
Khan Academy 44 PreCal Videos https://www.youtube.com/watch?v=W0VWO4asgmk&list=PLE88E3C9C7791BD2D&index=2
dictionary, games, excellent examples
dictionary, games, excellent examples
Arc of a Circle http://www.coolmath.com/reference/circles-geometry#The_formula_for_the_arc_length_of_a_circle
Graphing Quadratic Functions ax^2 + bx + c Khan Academy has a series of 7 videos: https://www.khanacademy.org/math/algebra/quadratics/graphing-quadratic-functions/v/graphing-a-quadratic-function
Function Composition f(g(x)) = ( f o g)(x) http://www.purplemath.com/modules/fcncomp2.htm
Log Logarithm Calculator https://keisan.casio.com/exec/system/1223458702
Log Logarithm Calculator https://keisan.casio.com/exec/system/1223458702
Logarithm Function https://keisan.casio.com/exec/system/1223459729
Logarithm Function https://keisan.casio.com/exec/system/1223459729
LOGs with Khan AcademyLog https://www.khanacademy.org/search?page_search_query=logarithms
LOGs with Khan AcademyLog https://www.khanacademy.org/search?page_search_query=logarithms
Algebra References or Cheat Sheet has logs on Pg 2 http://tutorial.math.lamar.edu/pdf/Algebra_Cheat_Sheet.pdf
Khan Academy Videos Just Pre-Cal Videos https://www.youtube.com/playlist?list=PLE88E3C9C7791BD2D
Creative Commons 3.0 License Khan Web Site http://www.khanacademy.org/
Patrick JMV Just Math Videos http://patrickjmt.com
Patrick JMV Just Math Videos http://patrickjmt.com
INTERACTIVE MATH http://www.intmath.com (use their Search)
Math BFF https://www.youtube.com/user/mathbff/playlists
WOLFRAMALPHA - http://www.wolframalpha.com/input/?i=math
CHEAT SHEET - http://tutorial.math.lamar.edu/cheat_table.aspx
CALCULUS SHEET http://tutorial.math.lamar.edu/cheat_table.aspx#CalcCheat
FREE College Books https://courses.candelalearning.com/catalog/lumen
Calculus Calculators: Derivative Calculator: http://www.numberempire.com/derivativecalculator.php
Horizontal Asymptote
Horizontal Asymptote
Pre-Cal question on:
Find the volume(V) of the water in the trough as a function of water level height(H)
The volume of the trough is a function of the height of the water.
The REAL NUMBER System is made up of:
The REAL NUMBER System is made up of:
The Real Number System is big - it has Natural Numbers, Integers, Rational and Irrational Numbers
Since Real Numbers include Whole Numbers and Variables/Irrational Numbers we can break down this equation to solve it.
The 1st step is to break the equation into two parts (3x3 - x2 ) + (3x - 1) = 0
The 2nd step is to break out an x2 from the 1st part x2 (3x - 1) + (3x - 1) = 0
The 3rd step is to break out a -1 from the 2nd half x2 (3x - 1) +1(3x - 1) = 0
Notice how we have 3x -1 in both half's of our equation
We can combine them (3x - 1) (x2 + 1) = 0
Use the Zero Factor to solve for x 3x - 1 = 0, 3x = 1 , x = 1/3
The (x2 + 1) is a little bit harder because when we set it to (x2 + 1) = 0, x2 = - 1
when you say x2 = -1 and take the square root to each side of the ='s
you get x = sqrt(-1), if you put this into a calculator you get an ERROR
This is where the power of an IRRATIONAL number comes in - you can give it a variable
-i is commonly used. so x = sqrt(-i) gives you a +i and a -i
Slant Asymptotes
Slant Asymptotes
Patrick Just Math Videos https://www.youtube.com/watch?v=--vh9zgZZmQ
Calculus I
Calculus I
Calculus Training Videos https://www.youtube.com/playlist?list=PL19E79A0638C8D449
Khan Academy - Creative Commons
http://Cramster.com has a Cramsterpedia http://www.cramster.com/definitions/calculus
Karls Calculas http://www.karlscalculus.org/ - looking for out-of-copyright Math books.
FREE College Books https://courses.candelalearning.com/catalog/lumen
Why is Calculus Important?? https://medium.com/fintechexplained/calculus-1-a-must-know-concept-for-every-professional-debd9c14f476
Training Sites: Paul's OnlineNotes http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
Functions:
Polynomials
Constant
Exponential
Power
Rational
Algebraic
Logarithmic
Trigonometric
Limits:
Limit Laws
Continuity
Indefinite Integrals:
Basic
Exponential & Logarithmic
Inverse Trigonometric
Hyperbolic
Reduction
Definite Integrals:
Basic
Comparison
Fundamental Theorem
Mid-Point Rule
Trapezoidal Rule
Simpson's Rule
Differentiation
Definition
Differentiation Formula
Derivatives of Trigonometric Functions
Quotient Rule
Chain Rule
Differentiation of Implicit Functions
Derivatives of Exponential & Logarithmic Functions
Derivatives of Inverse Trigonometric Function
Higher Order Derivatives
First Derivative Test
Derivatives of Hyperbolic Functions
Derivatives of Inverse Hyperbolic Functions
Concavity Test
Roile's Theorem
Mean Value Theorem
Scientific Applications of Derivatives
Increasing/Decreasing Test
Applications of Differentiation
Sequences and Series
Limit of a Sequence
Increasing / Decreasing Sequence
Limit Laws of Sequences
Convergence / Divergence of a series
Theorem
Monotonic Sequence
Bounded Above / Bounded Below
Bounded Sequence
Monotonic Sequence Theorem
Theorem
Test for Divergence
Convergence of Geometric series
Test for the convergence of series
Alternating Series Test
Ratio Test
Root Test
Integral test
P-Test
Comparison Test
Limit Comparison Test
Absolute Convergent definition
Conditionally Convergent
Taylor & MacLaurin Series
Taylor series of a function
Binomial Series
MacLaurin's Series
Calculus II
Three Dimensional Co-Ordinate Systems
Vectors
Addition of Vectors
The DOT Product
Projections
Cross Product
Theorem
Properties of DOT Product
Results
Equation of Lines & Planes
Vector Equation of a Line
Parametric Equation of Line
Symmetric Equations of Line
Vector Equation of a Plane
Scalar Equation of a Plane
Cylindrical Co-ordinates
Spherical Co-ordinates
Parametric Equations and Polar Co-ordinates
Arc Length and Surface Area
Conic Section
Parabola
Ellipse
Hyperbola
Polar form of the equation of conics
Derivatives and Internals of Vector Functions
Differentiation Rules
Definite Integral of a Continuous Vector Function
Partial Derivatives
Higher Derivatives
Clairaut's Theorem
Method of LaGrange's Multiplies
Directional Derivative
Total Differential
The Chain Rule
Second Derivative Test
Double Integrals
Mid-Point Rule for Double Integrals
Fubini's Theorem
Triple Integrals
Cylindrical & Spherical Co-Ordinates
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