Marriott Corp. announced a series of top management changes yesterday that are designed to help assist the Bethesda company's rapid growth in the hotel business.

The diversified food services and lodging firm said Frederic Malek, executive vice president of Marriott since 1978, will assume overall responsibility for the hotel division. James Durbin continues as president of the hotel division, reporting to Malek.

In another major promotion, J. Robert Schultz, executive vice president for Marriott's two amusement parks, will become executive vice president of the contract food services division, assuming Malek's duties in that area.

Named to succeed Schultz as executive vice president for theme parks was John W. Anderson, 44, who recently joined Marriott after serving the Sonoma Vineyards in California as president and chief executive. He has extensive experience in consumer products and advertising.

Both Malek and Schultz will report to the company's president, J. W. Marriott Jr., who said yesterday that the expansion of senior management will facilitate oversight of growth plans "as well as the development of new markets to supply growth beyond the mid-1980s." Marriott said his firm wants to strengthen its position in markets now served by contract food services, which include corporate headquarters dining facilities.

Under current plans, Marriott hotel rooms will triple in number over the next four years, making the local company the fastest-growing major firm in the nation's hotel industry.

Malek, 42, held a number of federal government posts in the Nixon administration, including deputy Budget director and special assistant to the president. He will continue to be in charge of the architecture and construction divisions, and Sun Line cruises. He joined Marriott in 1974 as senior vice president.

Schultz, 45, is credited with establishing Marriott's theme parks in Illinois and California as solid profit centers. He joined the firm in early 1979. CAPTION: Picture 1, Rendering shows the $35 million Crystal City Marriott Hotel under construction in Arlington. A pedestrian concourse will link the hotel with the Crystal City shopping complex and Metro station. The hotel will have 900 rooms, two restaurants and a swimming pool. Cohen and Haft, Holtz Kerxton + Associates; Picture 2, The Maui Marriott under way on Hawaiian island of Maui. AP