MTH 174 is the second semester in a three-semester sequence of calculus courses. It is designed for students majoring in math, computer science, engineering or one of the sciences (biology, chemistry, physics, etc). The topics covered in MTH 174 include:

• Finding volumes of revolution
• Disk/washer method
• Cylindrical shells method
• Techniques of integration
• Substitution rule
• Integration by parts
• Trigonometric integrals
• Trigonometric substitution
• Partial fraction decompositions
• Using tables of integrals
• Solving improper integrals
• Arc length
• Finding centroids
• Parametric equations
• Equations expressed in polar coordinates
• Conic sections
• Infinite series
• Sums of infinite series
• Rules for determining convergence/divergence
• Finding power series for functions
• Taylor and Maclaurin series
• Two-dimensional vectors
• Arithmetic with vectors
• The dot product

Presentations

Volumes Practice

Strategies for Integration Practice

Equivalent Cartesian and Polar Equations

Conic Sections Summary

Using the Calculator for Partial Sums

Strategies for Series Practice

Calculus web sites

http://archives.math.utk.edu/visual.calculus