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Important Files Quarter Schedules
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Calculus I Topics Notes Vids HW Sol
The Epsilon-Delta Definition of Limit        
Proving Differentiation Rules        
Related Rates        
Applied Optimization Problems        
Newton's Method        
Differentials        
Summation Formulas and Riemann Sums        
The Trapezoidal and Simpson's Rules        
Logarithmic Differentiation        
Proving Antidifferentiation Rules        
Hyperbolic Functions        
 
Calculus II Topics Notes Vids HW Sol
Newton's Law of Cooling        
The Logistic Differential Equation        
Homogeneous Differential Equations        
First-Order Linear Differential Equations        
Volume: The Shell Method        
Area of a Surface of Revolution        
Work        
Moments, Centers of Mass, and Centroids        
Fluid Pressure and Fluid Force        
Trigonometric Integrals        
Trigonometric Substitution        
Partial Fractions        
Indeterminate Forms and L'Hôpital's Rule        
The Root Test and Telescoping Series        
Arc Length of a Polar Curve        
Area of a Surface of Revolution (Polar and Parametric)        
 
Calculus III Topics Notes Vids HW Sol
Vectors in the Plane        
Space Coordinates and Vectors in Space        
The Dot Product of Two Vectors        
The Cross Product of Two Vectors in Space        
Lines and Planes in Space        
Surfaces in Space        
Cylindrical and Spherical Coordinates        
Tangent Vectors and Normal Vectors        
Arc Length and Curvature        
 
Calculus IV Topics Notes Vids HW Sol
Introduction to Functions of Several Variables        
Limits and Continuity        
Partial Derivatives        
Differentials        
Chain Rules for Functions of Several Variables        
Directional Derivatives and Gradients        
Tangent Planes and Normal Lines        
Extrema of Functions of Two Variables        
Iterated Integrals and Area in the Plane        
Double Integrals and Volume        
Change of Variables: Polar Coordinates        
Center of Mass and Moments of Inertia        
Surface Area        
Triple Integrals and Applications        
Triple Integrals in Cylindrical and Spherical Coordinates        
Change of Variables: Jacobians        

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