Technical Calculus 1

Study differentiation of algebraic, transcendental and implicit functions, indefinite and definite integrals, as well as various methods of integration, numerical integration included. Applications of derivatives include: tangents and normals, motion, related rates, curve sketching, linear approximation, estimating errors in measurements, applied maximum and minimum problems from areas of geometry, mechanics and electricity. Applications of integrals include: motion, areas, volumes, average and rms values, center of mass, moments of inertia and electric circuits.