Directed Study in Mathematics

Many class files are hosted in Google Drive. Students occasionally report having trouble opening files that are located in Google Drive; these students are probably signed into their moanaluahs.k12.hi.us Google account. Please log out of this account prior to accessing these files, or open the files in privacy or incognito mode.

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