This page contains some links to pages with material relevant to the second semester calculus course.

- Section 03 current semester syllabus
- Finding the area between two or more curves.
- Finding the volumes of solids of revolution using the method of disks.
- Finding the volumes of solids of revolution using the method of shells.
- Finding the arc length of a curve.
- Applications of the definite integral to calculating work.
- Integration by parts
- Trigonometric integrals and trigonometric substitution.
- Integration using trigonometric substitution.
- Integration using partial fraction decomposition.
- Suggestions for a strategy for handling integration problems.
- Improper integrals
- Finding the surface area of a solid of revolution.
- Applications of the definite integral to topics in physics such as center of mass and hydrostatic force.
- Plane curves and parametric equations.
- Calculus and parametric equations.
- Arc length and surface area for parametric equations.
- An introduction to polar coordinates.
- Calculus and polar coordinates.
- An introduction to conic sections.
- The conic sections in polar coordinates.
- Introduction to sequences.
- Introduction to infinite series.
- The Integral Test for positive term series.
- The Comparison Tests for positive term series.
- The Alternating Series Test.
- The concept of absolute convergence and the Ratio Test and Root Test.
- An introduction to power series.
- The Taylor series expansion of a function.
- Applications of Taylor and Maclaurin series.
- An introduction to Fourier series.
- Inverse trigonometric functions. Notebook: InverseTrig.nb.
- Hyperbolic trigonometric functions. Notebooks: HyperbolicTrig.nb and InverseHyperbolicTrig.nb.
- l'Hopital's Rule and a worksheet of exercises using l'Hopital's Rule.