Major Course Description* All the information in this document is collectedand translated into English by myself according to the school officialtranscript and text books and other materials teachers used in class. 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.