Calculus 1, Lec 3A: Linear Equation Problem Solving, Exponential Function Growth & Decay Properties

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Lecture 3A. This lecture includes information about point-slope form, slope-intercept form, and growth/decay of exponential functions.

(0:00) Introduction.
(0:39) Problem solving with linear equations and functions, including with a cost function for producing shirts (units emphasized).
(18:21) Generalities about equations of lines (standard form, slope-intercept form, point-slope form).
(19:44) Exponential functions have a constant relative (percent) rate of change (they built with multiplication), whereas linear functions have a constant slope, or rate of change (they are built with addition). Illustrate this with a table of values.
(24:33) Applications of exponential functions.
(25:34) Fundamental abstract properties of exponential growth and decay functions.

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  1. Bill Kinney
  2. calculus
  3. calculus 1
  4. first semester
  5. first course
  6. linear equation
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