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General Courses

No Subject Credit Time of Lecture Lab Instroduction of Course
033.017 Basic Calculus 2
1 0 2 The basic mathematics necessary for Calculus2, Differential and Integral Calculus 2 or Calculus for Life Science 2 are studied in this course.
033.001 Calculus 1
3 2 2 As a basic mathematics course for students in science and engineering, it discusses the properties of real numbers, series, Taylor expansions, vectors, matrices and determinants, curves, and their applications.
033.002 Calculus 2 3 2 2 As a sequel to "Calculus 1", derivatives and integrals of several variable functions, vector fields, Green theorem and Stokes theorem and their applications are discussed in this course.
033.003 Honor Calculus and Practice 1 3 2 2 This is an advanced Calculus course designed to investigate properties of real numbers, series, Taylor expansions, vectors, matrices and determinants and curves.
033.004 Honor Calculus and Practice 2 3 2 2 As a sequel to "Advanced Calculus and Practice 1& 2", derivatives and integrals of several variable functions, vector fields, Green theorem and Stokes theorem are studied in this course.
033.007 Calculs for Life Science 1 3 3 0 As a basic mathematics course for students in life science, differential equations describing various natural phenomena related to life science and their solutions are introduced. Differential equation models and successive approximation are employed to study the spread of epidemics. Mathematical computer programming is used.
033.008 Calculs for Life Science 2 3 3 0 As a sequel to "Calculus for Life Science 1", this course explores the periodic behavior of pendulum and dynamical systems, functions of several variables, series and approximations, Poisson distribution and Fourier series.
033.010 Calculus for Humanities and Social Sciences 1 3 3 0 As a basic mathematics course for students in liberal arts and social sciences who have no experiences for calculus, the basic notions for differentiation and integration will be discussed together with calculus of polynomial functions, rational functions, trigonometric functions, exponential and logarithmic functions. Topics on Taylor expansion and power series will be included together with elementary differential equations. Examples from economics and management will be discussed.
033.011 Calculus for Humanities and Social Sciences 2 3 3 0 As a sequel to of "Calculus for Humanities and Social Sciences 1", topics on functions of several variables will be discussed. After experiences on linear and quadratic forms with matrices, topics on gradients, local maximum and minimum, Lagrange methods will be discussed together with Fubini theorem on double integration. Some topics from management and social sciences such as linear programming, traveling-salesman problem and mathematics of voting will be touched.As a basic mathematics course for students in liberal arts and social sciences who have no experiences for calculus, the basic notions for differentiation and integration will be discussed together with calculus of polynomial functions, rational functions, trigonometric functions, exponential and logarithmic functions. Topics on Taylor expansion and power series will be included together with elementary differential equations. Examples from economics and management will be discussed.
033.005 Differential and Integral Calculus 1 4 3 2 As a basic mathematics course for students in science and engineering, properties of real numbers, series, Taylor expansions, vectors, matrices and determinants, curves, and their applications are discussed in depth.
033.006 Differential and Integral Calculus 2 4 3 2 As a sequel to of "Differential and Integral Calculus 1", derivatives and integrals of several variable functions, vector fields, Green theorem and Stokes theorem and their applications are discussed in depth.
033.012 Mathematics: The Basics and Applications 1 3 2 2 This course introduces students to basic mathematics and its applications. The topics that will be discussed in the course includes basic ideas of calculus : limits of functions, differentiation and integration. This course also includes topics such as multivariable functions and differential equations. Furthermore, we introduce numerical methods like Newton's method, Riemann sum and Euler's method. For these we use a mathematical program such as Maple. We aim for students taking this course to be able to formulate various phenomena and situations of the real world into mathematical language.
033.013 Mathematics: The Basics and Applications 2 3 2 2 Mathematics: the Basics and Applications 1 covers continuous models that can be handled with differentiation and integration. On the other hands, this course, Mathematics: the Basics and Applications 2 treats discrete models that can be described by sequence, series, probability, vector, and matrices. It will be explained how social situations and natural phenomena are formulated in mathematical terms and are analyzed with these concepts.
046.001 Mathematics in Civilization 3 3 0 Throughout history, mathematics has been one of the most important factors in the development of mental world and civilization. Topics discussed in this course include axioms for Geometry by Euclid, Calculus by Newton and Leibniz, concept of computation by Turing and von Neumann, art and mathematics, society and mathematics, science/technology and mathematics, Oriental/European culture and mathematics.
046.002 Mathematics in Information Age 3 3 0 The aim of this course is to help students understand what role mathematics has played in the inception of the computing machinery and in the birth of the modern information-based society. Issues of the science and technology of the modern society and speculation on the future direction of computer are examined.
033.016 Basic Calculus 1 1 0 2 The basic mathematics necessary for Calculus 1, Differential and Integral Calculus 1 or Calculus for Life Science 1 are studied in this course.
033.009 Calculus for Business 3 3 0 As a basic mathematics course for students in business, this course surveys basic calculus for polynomials and rational functions, basic properties and applications of exponential and logarithmic functions, elementary notions of vectors and matrices.