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Advanced Mathematics III 1-1 & 1-2

Terms: The first semester & The second semester

Credit: 5+5=10, Major

Hours: 80+80=160 hrs

Evaluation:

Assignments                                 30%

Final exam　　　　　　　　　                70%

TOTAL　　　　　　　　　　　　　　　　　　100%

Description:

Advanced Mathematics is the most important basis  course for majors of science and technology at Northwestern Polytechnical  University. This subject concentrates on the basic concepts, theories and  basic methods by limiting method. By studying the require contents, students  will be able to analyze the mathematical problems and think critically.

Course Objectives:

Following topics will be addressed: Functions,  the definition of the limit and continuous functions; Derivative and  Differential; Principles of differential and the application of differential;  Indefinite integral; The definition of the definite integral and the  application of the definite integral; The definition of the differential  equation; Vector algebra and space analytic geometry • The theory of  multivariable differential calculus; Principles of multiple integral;  Curvilinear integral and curved area integral; Green formula, Gauss formula  and Stokes formula; Infinite series; Improper integral and parameter improper  integral.

Teaching Approach:

An interactive approach will be employed in this  course. The students are required to attend the class prepared assignment and  reading and be able to participate in the in-class discussion. The  participation of students in the class will be evaluated as class performance.  Instructor strongly recommends that all students can set several study groups  for sharing their knowledge. All case materials will adhere to each session  handouts. The case discussion and problem solving will be the main tasks  during the class.