Starting a new Lecture Notes Series on PreCalculus - Graphing,Exponential Functions,Logarithmic Functions
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Exponential Functions,Logarithmic Functions
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Lecture 1: Parabola - General Graphing Rules
Lecture 2: Parabola - Finding Max & Min Values
Lecture 3: Parabola - Finding Max & Min Values, 1
Lecture 4: Parabola - Finding Roots & y-Intercept
Lecture 5: Parabola - Finding Roots & y-Intercept
Lecture 6: Parabola - Find Roots & y-Intercept, 1
Lecture 7: Parabola - Find Roots & y-Intercept, 2
Lecture 8: Parabola - Finding Domain & Range
Lecture 9: Parabola - Finding Domain & Range, Ex.
Lecture 10: Parabola - Finding Domain & Range, Ex.
Lecture 11: Using Synthetic Division to Find Roots
Lecture 12: Using Synthetic Division to Find Roots
Lecture 13: Using Synthetic Division to Find Roots
Lecture 14: 3rd Order Polynomials - General Rules
Lecture 15: 4th Order Polynomials - General Rules
Lecture 16: N-th Order Polynomials - General Rules
Lecture 17: Inflection Pts, Local Extrema, Roots
Lecture 18: Polynomial Terminology
Lecture 19: Polynomials, Domain & Range, Factoring
Lecture 20: Polynomials, Domain & Range=?, Table
Lecture 21: Polyn, Domain & Range=?, Syn Division
Lecture 22: Polyn, Domain & Range=?, Syn Division
Lecture 23: Polyn, Domain & Range=?, Syn Division
Lecture 24: Polyn, Domain & Range=?, Syn Division
Lecture 25: Polyn, Domain & Range=?, Syn Division
Lecture 26: Polyn, Domain & Range=?, Syn Division
Lecture 27: Polyn, Domain & Range=?, Syn Division
Lecture 28: Polyn, Domain & Range=?, Syn Division
Lecture 29: Polyn, Domain & Range=?, Syn Division
Lecture 30: What is an Exponential Function?
Lecture 31: Characteristics of Exponential Function 1
Lecture 32: Characteristics of Exponential Function 2
Lecture 33: Comparing y=2^x and y=x^2
Lecture 34: Find Bacteria Growth After 12 Hours
Lecture 36: What is a Natural Exponential Function?
Lecture 37: Exponential Function as an Infinite Series
Lecture 38: Slope of an Exponential Function
Lecture 39: Continuous Compounding Interest
Lecture 40: Continuous Bacteria Growth After 12 Hours
Lecture 41: Substance Left After 25 Hrs. of Decay
Lecture 42: What is a Logistic Growth Function?
Lecture 43: What is an Logarithmic Function?
Lecture 44: Rules of Logarithms
Lecture 45: Graphs of Logarithmic Functions
Lecture 46: More Graphs of Logarithmic Functions
Lecture 47: The Natural Logarithmic Function
Lecture 48: Logarithmic Function: Example 1
Lecture 49: Logarithmic Function: Example 2
Lecture 50: Example 3, Carbon Dating Carbon-14
Lecture 51: Example 4, Bacteria Growth
Lecture 52: Example 5, Charging Re-Chargable Batteries
Lecture 53: Law of Logarithms
Lecture 54: Solving Logarithms by Changing the Base
Lecture 55: Evaluating Logarithms
Lecture 56: Expand and Combine Logarithmic Expressions***
Lecture 57: x=? for 3^x=5 and 2^(x-1)=7
Lecture 58: x=? for 6e^(2-5x)=5
Lecture 59: x=? for [e^(2x)]-(3e^x)-10=0
Lecture 60: x=? for [5(e^x)(xe^x)]+xe^x=0
Lecture 61: x=? for log(x+3)=5 and ln(x-2)=3
Lecture 62: x=? for log(x+1)-log(x-1)=2
Lecture 63: x=? for log(base 2)(x^2-7x+14)=2
Lecture 64: Beer-Lambert Law: Diminishing Intensity
Lecture 65: Calculating Compounded Interest
Lecture 66: Time for Money ($$$) to Double
Lecture 67: Calculating Radioactive Decay
Lecture 68: Calculating Animal Populations
Lecture 69: Calculating Atmospheric Pressure
Lecture 70: Calculating Current in RL Circuit
Lecture 71: Calculating Doubling Time
Lecture 72: Newton's Law of Cooling
Lecture 73: Calculating pH Scale
Lecture 74: Calculating Magnitude of Earthquakes
Lecture 75: Calculating Decibels (Sound Intensity)
Lecture 76: Sound Intensity and Distance