| 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. |
