MAT129 Fall 2024 Notes

Wednesday, October 16	Topics:	6.1-6.4		
This Class Notes:	10.16.a, log con-dots, 10.16.b, exponent con-dots, 10.16.c, simplify con-dots, 10.16.d, exponent laws, 10.16.e, blank 1 graph paper, 10.16.f blank 2 graph paper, 10.16.g
Next Class Notes:	10.21a, 10.21b, 10.21c, 10.21d
6.1  - Exponential Functions, pg. 464,  Learning Objectives
	* Evaluate exponential functions.
	* Find the equation of an exponential function.
	* Use compound interest formulas.
	* Evaluate exponential functions with base e.
6.2  - Graphs of Exponential Functions, pg. 479,  Learning Objectives
	* Graph exponential functions.
	* Graph exponential functions using transformations.
6.3  - Logarithmic Functions, pg. 491,  Learning Objectives
	* Convert from logarithmic to exponential form.
	* Convert from exponential to logarithmic form.
	* Evaluate logarithms.
	* Use common logarithms.
	* Use natural logarithms.
6.4  - Graphs of Logarithmic Functions, pg. 499,  Learning Objectives
	* Identify the domain of a logarithmic function.
	* Graph logarithmic functions.

Log & Exponential Functions

Notes

Vocabulary

Exponent & Log Laws

Function Library

Exponential or Power Functions    

A Bit about e, the base of the Natural Logs    

Linear vs Exponential Growth

Compounding - Growing Discretely, WHY THE FORMULA P(t) = P₀(1 + r/n)^nt

Even More About e, the base of the Natural Logs    

Questions on exponents and logs:

      graphing exponentials

      Solving exponential equations

Exponential and Natural Log Are Inverse Functions

Logs without Feeling Out on A Limb Table of Contents Page

Log Graph Papers

 

Games

Who Has? Exponential

Logarithm Connect-the-Dots web page, pdf, 10.16.a, log con-dots

Exponent Connect-the-Dots web page, pdf, 10.16.b, exponent con-dots

Expand or simplify the log web page, pdf, 10.16.c, simplify con-dots

 

Forms Web Pages -- Dynamic Computation A Program/Web Page which Permits One to "Solve" for e EXPONENTIAL or POWER FUNCTIONS Linear vs Exponential Growth Parent Functions, Their Slope Functions, and Area Functions

Spread Sheets -- Dynamic Computation exp.xls -- compound & continuous interest, logistic curve, Gaussian (Normal Statistical curve), ...

Sketch Pads -- Dynamic Analytic Geometry Transendentals, Exponentials, Logs 2graphs.gsp  -- 2 graphed functions ready to edit logs -- 1 - ln(x), e^x, y=x for inverse, 2 - 2 graphs, 3 - a(base)^(bx-c)+d, 4 -e by area under 1/x Dere2x -- Derivative of the exponential Derlnx -- Derivative of the Natural Log e2xSums -- The Antiderivative of ex

© 9/3/2024, A2 http://www.mathnstuff.com/math/precalc/129/W.10.16.htm