This page contains some links to pages with material relevant to the second semester calculus course. You will also find links to Mathematica notebooks which you can download and modify for further exploration.

• Section 02 current semester syllabus
• Official department syllabus
• Old tests and their answers.
• Current and previous semesters' homework assignments and their solutions.
• A well-populated table of links to explanations of various topics in calculus (including topics from Calculus I, II, and III). Thanks to student Steve Sosna who provided this link.
• 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. After working on the exercises, you may check your answers.
• Integration by parts and a sample of integrals which may be evaluated using integration by parts. After working on the exercises, you may check your answers.
• Trigonometric integrals and trigonometric substitution.
• Integration using partial fraction decomposition.
• Suggestions for a strategy for handling integration problems. Once you have studied the strategy you may wish to try these examples. After you have tried the examples, you may check your answers.
• Improper integrals and sample exercises. After working on the exercises, you may check your answers.
• Finding the area between two or more curves. Notebook: Area.nb.
• Finding the volumes of solids of revolution using the method of disks. Notebook: Disks.nb.
• Finding the volumes of solids of revolution using the method of shells. Notebook: Shells.nb.
• Finding the arc length and surface area of a solid of revolution.
• Applications of the definite integral to work, center of mass, and hydrostatic force.
• Introduction to sequences.
• Introduction to infinite series.
• The Integral Test and Comparison Tests for positive term series.
• The Alternating Series Test.
• The concept of absolute convergence and the Ratio Test.
• A worksheet of exercises to test your ability to analyze the behavior of infinite series. After working on the exercises, you may check your answers.
• An introduction to power series.
• The Taylor series expansion of a function. Taylor polynomial approximations to some elementary functions are illustrated in this notebook.
• Applications of Taylor and Maclaurin series.
• An introduction to Fourier series.
• 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.