This 16-minute video lesson shows that unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent.

This 13-minute video lesson provides a concrete example of the derivative of a vector valued function to better understand what it means.

This 7-minute video lecture looks at using the Wolfram Alpha to approximate sin(x).

This 9-minute video lesson shows how to figure out the equation for the volume of a sphere.

This video looks at the Washer method when rotating around a horizontal line that is not the x-axis.

This video covers setting up the definite integral for the volume of a solid of revolution around a vertical line using the "washer" or "ring" method.

This video looks at the intuition as to why we got no net flux in the last worked example.

This art history video discussion examines Robert Campin's (also called the Master of Flemalle) "Christ and the Virgin," c. 1430-35, oil and gold on panel, 11-1/4 x 17-15/16 inches / 28.6 x 45.6 cm (Philadelphia Museum of Art).

This art history video discussion examines Robert Campin's Merode Altarpiece, tempera and oil on panel, 1425-28 (Metropolitan Museum of Art).

This art history video discussion examines Caravaggio's "Calling of St. Matthew," oil on canvas, c. 1599-1600 (Contarelli Chapel, San Luigi dei Francesi, Rome).

This art history video discussion examines Caravaggio's "Crucifixion of St. Peter", oil on canvas, 1601 (Santa Maria del Popolo, Rome).

This art history video discussion examines Caravaggio's "Death of the Virgin," 1605-06, Oil on canvas, 12 feet, 10 inches x 8 feet (369 x 245 cm) (Musee du Louvre, Paris). Painted for the altar of a family chapel in the church of Santa Maria della Scala del Trastevere, Rome.

This art history video discussion looks at Michelangelo Merisi da Caravaggio's "Narcissus at the Source", oil on canvas, 1597-99 (Palazzo Barbarini).

This art history video discussion examines Michelangelo Merisi da Caravaggio's "The Supper at Emmaus", 1601, oil on canvas (National Gallery, London).

This art history video discussion examines Jean-Baptiste Carpeaux's "Dance," 1865-69, marble, 420 x 298 cm (Musee d'Orsay, Paris). Commissioned by Charles Garnier for the facade of L'Opera. In 1964 it was replaced by a copy executed by Paul Belmondo.

This art history video discussion examines Annibale Carracci's Ceiling of the Palazzo Farnese, fresco, Rome, 1597-1608.