MA 2323 - Calculus IV

• Sketch surfaces in three dimensions
• Find first and second partial derivatives
• Find the total differential of a function of more than one variable and use it to approximate error
• Use chain rules to find derivatives and partial derivatives
• Find implicit partial derivatives
• Determine the maximum, minimum, and saddle points on a surface
• Set up and evaluate double integrals using rectangular and polar coordinates
• Find areas, volumes, and moments using double integrals
• Set up and evaluate triple integrals
• Use triple integrals to find volumes and moments of solids
• Use integrals in cylindrical or spherical coordinates to find volumes and moments

• The basic principles of algebra
• The basic principles of trigonometry
• Differentiation and integration of algebraic and transcendental functions
• Applications of integration
• Integration techniques
• L’Hȏpital’s rule
• Polar coordinates

• Surfaces in three dimensions 
• Functions of several variables 
• Partial derivatives 
• Extrema of functions of two variables 
• Double integrals, area, volume, and moments
• Triple integrals, volume, moments, cylindrical and spherical coordinates