Thomas became involved with math and science education in America's primary and secondary schools some years before the Soviet Union launched Sputnik. From 1955 to 1957, he served on the board of governors of the Mathematical Association of America and was the group's first vice president from 1958 to 1959. Added new Exercises: 4.1: 61–62; 4.3: 61–62; 4.4: 49–50, 99–104; 4.5: 37–40; 4.6: 7–8; 4.7: 93–96; PE: 1–10; AAE: 19–20, 33. Moved Exercises 4.1: 53–68 to PE. Added new Example 3 with new Figure 4.27 and Example 12 with new Figure 4.35 to give basic and advanced examples of concavity. In 1978, Thomas retired from full-time teaching, although continued to edit new editions of Calculus and Analytic Geometry. He became interested in religion, attending the Unity Church and later taking up Christian Science. A full suite of Interactive Figures has been added to support teaching and learning. The figures illustrate key concepts and allow manipulation. They have been designed to be used in lecture as well as by students independently. Videos that use the Interactive Figures to explain key concepts are included. The figures are editable using the freely available GeoGebra software. The figures were created by Marc Renault (Shippensburg University), Steve Phelps (University of Cincinnati), Kevin Hopkins (Southwest Baptist University), and Tim Brzezinski (Berlin High School, CT).

Technology exercises (marked with a T) are included in each section, asking students to use the calculator or computer when solving the problems. In addition, Computer Explorations give the option of assigning exercises that require a computer algebra system (CAS, such as Maple or Mathematica). Added new Figure 10.16 to illustrate the differing behaviors of the harmonic and alternating harmonic series. Added new Exercises: 14.2: 51–54; 14.3: 51–54, 59–60, 71–74, 103–104; 14.4: 20–30, 43–46, 57–58; 14.5: 41–44; 14.6: 9–10, 61; 14.7: 61–62. Updated 8.2 Integration by Parts discussion to emphasize u( x) v′( x) dx form rather than u dv. Rewrote Examples 1-3 accordingly.ENHANCED! Annotations within examples (shown in blue type) guide students through the problem solution and emphasize that each step in a mathematical argument is rigorously justified. For the 14th Edition, many more annotations were added.

Complete and precise multivariable coverage enhances the connections of multivariable ideas with their single-variable analogues studied earlier in the book. Added figure of x sin (1>x) in 3.2 to illustrate how oscillation can lead to nonexistence of a derivative of a continuous function. On October 31, 2006, Thomas died in Foxdale Village at State College, Pennsylvania, a retirement community centered around the needs of retired academics. [2] Books [ edit ]

K-12 ACADEMIC & CTE

For three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or science In the late 1950s, Thomas went to India with a grant from the Ford Foundation to train mathematics instructors. The authors are careful to present key topics, such as the definition of the derivative, both informally and formally. The distinction between the two is clearly stated as each is developed, including an explanation as to why a formal definition is needed. Ideas are introduced with examples and intuitive explanations that are then generalized so that students are not overwhelmed by abstraction. A flexible table of contents divides topics into manageable sections, allowing instructors to tailor their course to meet the specific needs of their students. Teach calculus the way you want to teach it, and at a level that prepares students for their STEM majors