June 17, 1982

Israeli forces dug in on the hills of this resort town east of Beirut today as armored units continued to isolate Beirut from the rest of Lebanon. In addition to fortifying their hilltop vantage points, from which they overlook Syrian encampments in a valley below as well as Beirut in the distance, the Israelis have reportedly captured the science campus at Lebanese University in Shuweifat. The campus has strategic value because it is close to Palestinian refugee camps and the international airport, which has been out of operation since the Israeli invasion began June 6. And Wafa, the Palestinian press agency, said tonight that the Israeli attack on the campus had been repulsed.

When Michael Forrest first told his parents he wanted a computer for his 11th birthday, they did not take him seriously. ''We thought, 'He wants a computer - ha, ha,' '' said his mother, Esther Forrest of Great Neck, L.I. ''But then, when we really investigated prices, we found it's not so bad.'' So the Forrests bought Michael a $300 Commodore VIC-20 computer. Indeed, people like the Forrests, whether buying for their children or themselves, are proving that the age of home computers is finally arriving. The products of Commodore International, Atari Inc., Texas Instruments Inc. and the Tandy Corporation's Radio Shack are finding their way into the American home. ''We're watching the real birth of the home computer,'' said Egil Juliussen of Future Computing Inc., a market research firm in Richardson, Tex.

A detailed drawing guides weavers of Oriental rugs through the intricacies of design. And faced with the complexities of today's market, many consumers might welcome a similar master plan to help them sort out the vast array of modern Oriental rugs, in terms of country of origin, type of weave, pattern and price. Not that Oriental rugs are novel. They have been woven for thousands of years and have been imported for American homes ever since the mid-19th century. But the political revolution in Iran and the commercial revolution in United States-Chinese relations have caused a merchandising revolution in Oriental rugs. Until the early 1970's, the market was dominated by pile rugs in Persian designs from Iran. Now, rugs in Persian designs come from many countries, primarily from India and Pakistan. Chinese rugs have become a major factor in the market, and the options have been further extended by the fashion for nonpile or flat-weave rugs, known as kilims and dhurries. Kilim is the generic term for any flat-weave rug, and a dhurrie is a type of kilim made only in India. ''A new market in Orientals has been developing for the past several years,'' says Mason Purcell, who is president of the Oriental Rug Retailers of America and a rug dealer in Charlottesville, Va.

Lewis E. Lehrman, a multimillionaire who challenged the established leaders of the Republican Party, won the party's designation for Governor of New York yesterday. Mr. Lehrman got 68.88 percent of the weighted votes at a hectic meeting of the Republican State Committee in Manhattan after a day of confusion and a series of nighttime surprises. Thus, a candidate who had proclaimed his status as an outsider in a series of radio and television commercials became the official party choice. He will be in a primary contest against Paul J. Curran, a former United States Attorney for the Southern District of New York.

An obituary of Edwin J. Beinecke Jr. on Monday incorrectly described his position with the Sperry & Hutch- inson Company. He had been chair- man of the executive committee.