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Differential Calculus With Analytic Geometry:
 
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TOPICS

REVIEW INEQUALITIES AND OBSOLUTE VALUES:

REVIEW STRAIGHT LINES:

 

FUNCTION AND LIMITS:
  • Function, domain and range.
  • Graphs of elementary functions.
  • Limits.
DIFFERENTIATION:
  • Tangent lines and rates of change.
  • The derivative.
  • Technique of differentiation.
  • The chain rule
ELEMENTARY APPLICATION:
  • Tangent and normals.
  • Velocity and acceleration.
  • Electrical problems.
TRIGONOMETRY:
  • Review.
  • Differentiation.
  • The chain rule.

IMPLICIT DIFFERENTIATION:

DIFFERENTIALS:

 

APPLICATION OF DIFFERENTIATION:

  • Related rates.
  • Curve sketching.
  • Minimum and maximum values of a function.
  • Applied maximum and minimum problems

CONIC SECTIONS:

  • Circle
  • Parabola
  • Ellipse
  • Hyperbola

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