Michelle Perschbacher

Michelle Perschbacher

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  • About
  • PreCalc I (MTH 161,167 part I)
    • Module 1 – Functions and Relations
    • Module 2 – Polynomial and Rational Functions
    • Module 3 – Exponential and Logarithmic Functions
    • Module 4 – Matrices and Final Exam
  • PreCalc II (MTH 162, 167 part II)
    • Module 1 – Trigonometric Functions
    • Module 2 – Analytic Trigonometry
    • Module 3 – Triangle Applications
    • Module 4 – Conic Sections
    • Module 5 – Polar Coordinates and Vectors
    • Module 6 – Sequences and Series
  • Calculus I (MTH 261, 263)
    • Module 1 – Limits and Differentiation
    • Module 2 – Exponential and Logarithmic Functions
    • Module 3 – Applications of Differentiation
    • Module 4 – Integration
  • Calculus II (MTH 264)
    • Module 1: Integration Techniques and Applications
    • Module 2: More Applications of Integration
    • Module 3: Sequences and Series
    • Module 4: Parametric and Polar Curves
  • Calculus III (MTH 265)
    • Chapter 12: Vectors and the Geometry of Space
    • Chapter 13: Vector Functions
    • Chapter 14: Partial Derivatives
    • Chapter 15: Multiple Integrals
    • Chapter 16: Vector Calculus

Module 4 – Conic Sections

Topic 1:  The Parabola

  • The Parabola (lecture)
  • Analyzing a parabola
  • Geometric Properties of the Parabola

Topic 2:  The Ellipse

  • The Ellipse (lecture)
  • Analyzing an Ellipse
  • Completing the Square (An Example Involving a Circle)
  • Geometric Properties of the Ellipse

Topic 3:  The Hyperbola

  • The Hyperbola (lecture)
  • Analyzing a Hyperbola
  • Geometric Properties of the Hyperbola
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