Precalculus 4: Exponentials and logarithms
The Algebra 2 topics of exponential, logarithmic, and power functions, preparing for studies of Calculus
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2 223
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50 hours
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Apr 2025
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$84.99
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What you will learn
How to solve problems concerning exponentials or logarithms (illustrated with 239 solved problems) and why these methods work.
Applications of exponential and logarithmic functions in finance, engineering, and natural sciences (some of them in my videos, some as reading material).
Binomial Theorem with two proofs (a combinatorial one and one by induction), Pascal's Triangle, and how to apply them.
Definitions of Euler's number e, how to approximate it, and how to prove that this number is irrational.
Definitions and computational rules for powers with various types of exponents (natural, integer, rational, real).
Definition of logarithms in relation to exponents, with computational rules (these will be related to the rules for powers).
Exponential functions, their properties and graphs.
Logarithmic functions, their properties and graphs.
Power functions, their properties and graphs; interactions between power functions and exponential functions.
Graph transformations for exponential and logarithmic functions, and for some power functions.
Solving exponential equations and inequalities.
Solving logarithmic equations and inequalities.
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4964232
udemy ID
06/11/2022
course created date
05/04/2023
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