President Reagan is scheduled to give details of a new administration trade policy and to meet with Egyptian President Hosni Mubarak. The Commerce Department sponsors a two-day conference, "Human Factors, Technology and Productivity," at the J.W. Marriott Hotel. Phone 377-8104. The staff of the Office of Technology Assessment conducts a 2 p.m. briefing on two reports, "Ballistic Missile Defense Technologies" and "Anti-Satellite Weapons, Countermeasures and Arms Control." The session will be at 600 Pennsylvania Ave. SE. The reports are embargoed for Wednesday. The American Fair Trade Council holds an 8:45 a.m. news conference in Room SR-485 of the Russell Senate Office Building on textile legislation. The Public Employe Department of the AFL-CIO begins its convention at the Sheraton Washington Hotel. Greek Cabinet member Melina Mercouri addresses the National Press Club at a 12:30 p.m. luncheon. TUESDAY

The president travels to Tennessee to deliver a speech on tax reform. The Cato Institute sponsors a policy forum, "Rethinking Environmental Risk Management Policy: The Flawed Logic of Superfund," beginning at 4 p.m. at 224 Second St. SE. Phone 546-0200. The Urban Environment Conference Inc. sponsors a policy forum on calculating occupational injuries and deaths. The event is from 3 to 5 p.m. in the second-floor conference room of the United Auto Workers headquarters, 1757 N St. NW. Phone 828-8500. The Bureau of Labor Statistics releases its report on August consumer prices and real earnings. WEDNESDAY

The Congressional Black Caucus Foundation holds its 15th annual Legislative Weekend, today through Saturday at the Washington Hilton Hotel and at sites on Capitol Hill. Phone 543-8767. THURSDAY

The National Science Board holds a public hearing to assess undergraduate science and engineering education. The session runs from 9 a.m. to 3 p.m. in Room 540 of the National Science Foundation, 1800 G St. NW. Phone 357-9498. The Occupational Safety and Health Administration's Advisory Committee on Construction Safety and Health begins two days of hearings on draft standards on asbestos and formaldehyde. Phone 523-8151. FRIDAY

Reagan meets with Soviet Foreign Minister Eduard Shevardnadze. Congressional Quarterly Inc. sponsors a seminar, "Understanding Public Relations and the Washington News Media: Getting Your Message Across to Congress." It runs from 9 a.m. to 5 p.m. at the Hyatt Regency Washington Hotel. Phone 887-8620.