Directed Study in Mathematics

Important Files Quarter Schedules
Quarter 1 Topics Notes
The Epsilon-Delta Definition of Limit
Related Rates
Applied Optimization Problems
Business Applications
Newton's Method
Summation Formulas and Definite Integrals
Numerical Integration
Quarter 2 Topics Notes
Logarithmic Differentiation
Hyperbolic Functions
Homogeneous Differential Equations
First-Order Linear Differential Equations
Volume: The Shell Method
Moments, Centers of Mass, and Centroids  
Fluid Pressure and Fluid Force  
Quarter 3 Topics Notes
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 Notes
Introduction to Functions of Several Variables  
Partial Derivatives  
Chain Rules for Functions of Several Variables  
Extrema of Functions of Two Variables  
Applications of Extrema of Functions of Two Variables  
Iterated Integrals and Area in the Plane  
Double Integrals and Volume  
Change of Variables: Polar Coordinates  

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