Directed Study in Mathematics

Important Files
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
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

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