MA 232 - Calculus for Engineers IV

• 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
• Test sequences for convergence and divergence
• Test infinite series for convergence and divergence
• Find the interval of convergence for a power series
• Perform algebraic and calculus operations on power series
• Use Taylor and Maclaurin series to approximate functions

• 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
• Functions of several variables
• Partial derivatives
• Limits and improper integrals
• Parametric equations
• Polar coordinates

• Double integrals, area, volume, and moments (5 classes)
• Triple integrals, volume, moments, cylindrical and spherical coordinates (7 classes)
• Sequences (1 class)
• Infinite series and tests for convergence (3 classes)
• Power series and intervals of convergence (4 classes)
• Taylor and Maclaurin series (3 classes)
• Review and exams (7 classes)