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
Differentials
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  
Work  
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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