Directed Study in Mathematics

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Important Files

  • Course Syllabus

  • Contact Information Form

  • Textbook Contract

  • Video Series: TI-Nspire CX

  • Video Series: TI-84 Plus CE

Quarter 1 Topics

  • The Epsilon-Delta Definition of Limit

  • Related Rates

  • Applied Optimization Problems

  • Business Applications

  • Newton's Method

  • Differentials

  • Summation Formulas and Definite Integrals

  • Numerical Integration

Quarter 2 Topics

  • Logarithmic Differentiation

  • Hyperbolic Functions

  • Homogeneous Differential Equations

  • First-Order Linear Differential Equations

  • Volume: The Shell Method

  • Work

  • Moments, Centers of Mass, and Centroids

  • Fluid Pressure and Fluid Force

Quarter 3 Topics

  • Area of a Surface of Revolution

  • Trigonometric Integrals

  • Trigonometric Substitution

  • Partial Fractions

  • Indeterminate Forms and L’Hôpital’s Rule

  • Telescoping Series and the Root Test

  • Arc Length of a Polar Curve

  • Area of a Surface of Revolution (Polar and Parametric)

Quarter 4 Topics

  • Introduction to Functions of Several Variables

  • Partial Derivatives

  • Chain Rules for Functions of Several Variables

  • Relative Extrema of Functions of Two Variables

  • Absolute Extrema of Functions of Two Variables

  • Iterated Integrals and Area in the Plane

  • Double Integrals and Volume

  • Change of Variables: Polar Coordinates