This course aims at developing comprehension of integral, activating capabilities of logic inference and induction, enlightening confidence and independence, strengthening calculating abilities with an emphasis on its application and diagram, furnishing a sound basis for future specialty. The content includes: 1.Indefinite and Definite Integral, 2.Techniques of Integration, 3.Improper Integral, 4.Application of Integration, 5.Infinitr Series, 6.Partial Derivative, 7.Basic Vector Analysis.