Mathematical analysis, advanced algebra, analytic geometry, ordinary differential equation, complex variable function, differential geometry, abstract algebra, real variable function, topology, general physics, probability statistics, mathematical modeling, discrete mathematics, C language, logistics and network and software, database, commonly used statistical methods and software, calculation methods and software, differential manifold, functional analysis, algebra lecture, Lie algebra and its representation, general calculus. Series of lectures on differential geometry, biological mathematics, environmental mathematical model, mathematical economics, financial mathematics, introduction to mathematics education, measurement and evaluation of mathematics teaching, psychology of mathematics education, history of mathematical philosophy, modern mathematics, etc.