`sin^2x + cos^2x = 1`
`y = frac (-b +- sqrt(b^2 - 4ac)) (2a)`
`(x + 2)^2 + (y - 3)^2 = 16`
`slope = m = frac (\text(change in y)) (\text(change in x)) = frac (Deltay) (Deltax)`

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HCC Math212

(according to LWW)

Chapter 2

Topics

  • Limits and Continuity
  • Average Rate of Change
  • Instantaneous Rate of Change
  • Definition of the Derivative and the Power Rule
  • Techniques for Finding Derivatives
  • Applications: Marginal Analysis

Chapter 3

Topics

  • The Product and Quotient Rules
  • The Chain Rule and the General Power Rule
  • Implicit Differentiation and Related Rates
  • Increasing and Decreasing Intervals
  • Critical Values and the First Derivative Test
  • Absolute Maximum and Minimum

Chapter 4

Topics

  • Concavity and Points of Inflection
  • The Second Derivative Test
  • Curve Sketching: Polynomial Functions
  • Curve Sketching: Rational Functions
  • Business Applications
  • Other Applications: Optimization, Distance, and Velocity
  • Differentials

Chapter 5

Topics

  • Exponential Functions
  • The Natural Logarithm
  • Derivatives of Logarithmic Functions
  • Derivatives of Exponential Functions
  • Growth and Decay
  • Elasticity of Demand

Chapter 6

Topics

  • The Indefinite Integral
  • Integration by Substitution
  • Area and Riemann Sums
  • The Definite Integral and the Fundamental Theorem of Calculus
  • Area Under a Curve (with Applications)
  • Area Between Two Curves (with ... (More)

Ch 1.3 Functions & Models

What is Calculus?

  • Calculus is the study of change.
  • The study of how to quantify the change one variable experiences based on the change in another, related ... (More)

Introduction to HCC Math-212

This section of my website will be specific to a course I teach at Harford Community College, Math 212, Calculus with Applications. The textbook used ... (More)

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