Objectives

Students who complete the undergraduate program in applied mathematics will:

1.    Demonstrate the ability to apply algebraic, geometric, calculus and higher-order thinking, and statistical methods to modeling and solving real-world situations.

2.    Use mathematical reasoning skills and formal logic to develop convincing mathematical arguments.

3.    Use computational tools to enhance mathematical thinking and understanding, to solve mathematical problems, and judge the reasonableness of the results.

Core courses

Admission Requirements

If you want to study Applied Mathematics you will of course need the right diploma. Candidates must meet a set of minimum requirements to be accepted which are outlined below:

1.      Minimum requirements for secondary school

2.      Chinese language proficiency: HSK 4 or higher level

Graduation & Degree Requirements

Students have to gain 150.5 credits to graduate, among which 119.5 credits from required theoretical courses and 31 from academic activities. Students have to pass HSK 5 to gain the Bachelor degree.

Career Prospects (The highlighted yellow parts indicated the essential content during the composing)

The vast majority of CUP graduates enroll in Master’s programs in applied mathematics. As a result, most students achieve their bachelor degrees and find jobs as financial advisors, consultants or researchers in the Chinese or abroad. In these roles you can, for instance, work in a financial company, Petroleum Corporation or other business, a bank, as an investor, for a project developer or a consulting firm.

l  Course description

Mathematics Analysis I

Introduction: This is the most important basic course in information and computer science specialty. By way of teaching, it is aimed at helping students master the basic conception, basic theory and calculation methods of limit, differentiation and integral so as to improve their ability in analyzing and solving problems and lay a solid foundation in later study of special knowledge and engage in professional work and research.

Credits: 6

Class hours: 96

Semester: 1

Lecturer: Prof. Mu Zheng

Mathematics Analysis II

Introduction: This is the follow-up course of Mathematics Analysis I.  It is aimed at helping students master the multi-variable calculus and series theory so as to improve their ability in analyzing and solving problems and lay a solid foundation in later study of special knowledge and engage in professional work and research.

Credits: 6

Class hours: 96

Semester: 2

Lecturer: Prof. Mu Zheng

Higher Algebra

Introduction: The course is a basic mathematical course. It is adapted to the science and engineering major which have a higher mathematical foundation. The course of Advanced Algebra aims at cultivating students’ understanding to mathematical problem and improving their logic ideation and creativity by introducing some basic concepts of algebra and some algebra structure correlations. Students can know the basic theory and method of Advanced Algebra. Simultaneity, they cultivate the ability of handling algebra’s tools to solve actual problems. The course mainly teach: math field, factorization’s basic theorem, linear space, linear transform and matrix, linear equations’ basic theorem, matrix operation, quadratic form,  -matrix, Jordan-standard model, Euclidean space, unitary space, orthogonal space’s basic theorem, the most common factor of polynomial, determinant and linear equations’ basis of the solution, matrix eigenvalue calculation.

Credits: 6

Class hours: 96

Semester: 1

Lecturer: Prof. Zhang Yi

Space analytical geometry

Introduction: Space analytical geometry is a traditional basic course of mathematics. With rich contents, systematic methods, complete system and extensive application，it paves the way for the further study of other subjects. The course requires students to be familiar with the basic operational methods of vector algebra, thoroughly understand the process of the establishment of space rectangular coordinates system, the establishment and the mutual relations of space surface and linear equation. Students should know research methods of curve surface system in order to lay a solid foundation to study other mathematical branches including signal processing, geophysical exploration, computer figural iconography, mathematical economics, modern cybernetics, quantized field theory, statistical physics and engineering technology as well as other subjects.

Credits: 3

Class hours: 48

Semester: 2

Lecturer: Associate Prof. Ma Ning

Ordinary Differential Equation

Introduction: This course is not only an important mathematics branch which simultaneously produces and develops with calculus, but also an important channel which applies mathematical theory to reality. With the development of science technology and various branches of mathematics, the theory of ordinary differential equation is varied and colorful day by day, also full of vitality.

   The ordinary differential equation is an important fundamental course for the students in mathematics and applied mathematics major. Also, it is a discipline that has strong application background. The main purpose of this course is that it can train students the ability of analyzing and solving problems, as well as applying the theory to reality; and simultaneously finish the preparation for the successor curriculum study. Theory and methods of One-order and High-order Linear Differential Equation will be introduced in this course.

Credits: 2

Class hours: 32

Semester: 2

Lecturer: Prof. Zhang Yi

Complex Variables and Integral Transformation

Introduction: Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. The actual pre-requisites for this course are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. This course covers fundamentals of complex analysis: complex algebra and functions; analyticity; contour integration; Cauchy’s theorem; singularities; Taylor and Laurent series; residues; evaluation of integrals，Fourier transformation and Laplace transformation.

Credits: 3

Class hours: 48

Semester: 3

Lecturer:  associate Prof. Zhao Ling

PROBABILITY AND STATISTICS

Introduction: Probability and Statistics, a mathematical basic course, is a compulsory course for students of engineering sciences and economic management sciences.

The course comprises two parts of probability theory and mathematical statistics. Probability theory is a mathematical theoretical science which researches statistical laws of random phenomena, and it is widely applied to finance, insurance, securities, engineering technique and nature sciences. Probability theory which combines different problems forms a lot of filiations. Mathematical statistics is an applied science about collecting, cleaning up, analyzing and concluding of data. Probability theory and mathematical statistics is two paratactic subjects, the former is foundation of the latter, while the latter is application of the former.

 Probability theory is a rudimental course, whose contents include probability space, random variables and probability distributions of their functions, numerical characters of random variables, law of large numbers and central limit theorems. Mathematical statistics emphasizes to learn parameter estimations and hypothesis testing, and introduces unitary linear regression.

Credits: 3.5

Class hours: 56

Semester: 3

Lecturer: Ming Hui

NUMERICAL ANALYSIS

Introduction: This course mainly covers：interpolation methods, function approximation, the least square approximation, numerical integration and differentiation, direct and iterative methods for solving linear equations, numerical solutions of nonlinear equations, Calculation of Matrix eigenvalues and eigenvectors, numerical solutions of ordinary differential equations .Learning this course can help students master some fundamental concept and theories and common algorithms which can help them lay a solid foundation for solving practical problems combing with computer.

Credits: 4.5

Class hours: 64

Semester: 4

Lecturer: associate Prof. Chui Xuehui

Matlab

Introduction:  The purpose of the subject is to help students gain a kind of technique which can solve some actual problems and build mathematics models. This course is practicality applicability one, which requires that the student needs to integrate theory with practice, and grasp fundamental MATLAB application, particularly readjusts oneself to a certain extent on the data type and syntactic structure. Students should grasp its big and powerful matrix arithmetic function, perfect two-dimensional、three-dimensional drawing function and the application containing the broad Toolbox function warehouse completely etc. Meanwhile, making use of its plotting function big and powerful , one must draw out plotting or table which are able to explain the actual problem, easy to understand , to be convinced, to be known thereby designer intention. By more than 200 examples and more than 150 exercises, it can help a student to have fundamental main point of MATLAB in hand better. This course is applicability one, which requires that the student has had the certain computing service ability, and had learned one machine language at least.

Credits: 2

Class hours: 32

Semester: 5

Lecturer: Fan Sheng