This course is designed to give freshmen who have some understandings for calculus of functions of one variable backgrounds for advanced calculus.



In the first part, infinite series and parametric equations are introduced and are studied. Also the vector functions that is essential to the understanding of the space curve and the plane in space, are introduced. Consequently functions of two or more variables will be taught. and the multi-integrals for the functions of multi-variables and their integrations are studied.