(Course Title）(Course offered period) 2nd Semester

Mathematics in Kyoto iUP preparatory course(Numbers of weekly frame) Two(Affiliated department)(Class style) Lecture

Institute for Liberal Arts and Sciences(Job title) Professor(Name) HASEBE, Shinji(Eligible students) Students of Kyoto iUPPreparatory course(Day/period) Thursday/1 and 2(Outline and Purpose of the Course)
The purpose of this course is to teach Kyoto iUP students the knowledge of the graduation level
mathematics of Japanese high school. In the course, the lectures and exercises for almost all area ofmathematics are treated.

(Course Goals)
The goal is to acquire the mathematical knowledge which is equivalent to the graduates of Japanese highschool, e.g. to acquire the knowledge and skills to solve the EJU level problems.
EJU: Examination for Japanese University Admission for International Students(Course schedule and Contents)
The lectures and exercises of following topics will be executed.
Function, Vector, Trigonometric Functions, Complex Numbers and Complex Plane,Calculus (Differentiation), Calculus (Integration), Sets and Proofs, Number of Outcomes,
Combinatorics, Probability, Sequences and Series.
Some topics will be skipped for students planning to enroll the faculties related to social science.

(Class requirement)
Students in the Kyoto iUP preparatory course(Evaluation methods and policy)
The final examination is used to evaluate the progress.

(Regarding studies out of class (preparation and review))
The preparation is requested if there are some unknown knowledge in the basic contents in the material
distributed beforehand. The homework must be submitted till the specified date. The student who
submitted the specified exercise problem beforehand will be exempt from the participation in the lecture.

(Others (office hour, etc.))
Based on a student's understanding level, the interview with students will be scheduled temporarily.

(Textbook)The original material prepared by the teacher is uploaded to PandA before each lecture.

(References)
The additional material will be assigned to the students whose understanding level is insufficient.

(Related URL)

(Course Title）(Course offered period) 2nd Semester

Advanced Mathematics in Kyoto iUP preparatory course(Numbers of weekly frame) One(Affiliated department)(Class style) Lecture and Exercise

Institute for Liberal Arts and Sciences(Job title) Professor(Name)(Eligible students) Students of Kyoto iUP
Preparatory course(Day/period) Friday / 2Yoshio TSUTSUMI(Outline and Purpose of the Course)
The purpose of this course is to teach Kyoto iUP students the knowledge of mathematics which is
required to pass the entrance examination of Kyoto University. In the course, the lectures and exercises
for almost all area of mathematics are treated.

(Course Goals)
The goal is to acquire the knowledge of solving problems higher than the EJU level.
EJU: Examination for Japanese University Admission for International Students(Course schedule and Contents)
The lectures and exercises of following topics will be executed.
Function, Vector, Trigonometric Functions, Complex Numbers and Complex Plane,Calculus (Differentiation), Calculus (Integration), Sets and Proofs, Number of Outcomes,
Combinatorics, Probability, Sequences and Series.
The students will learn how to solve the past examination problems of Kyoto University which coverthese topics. The problems and the answers will be uploaded to PandA system.

(Class requirement)
Students in the Kyoto iUP preparatory course(Evaluation methods and policy)
No performance evaluation.

(Regarding studies out of class (preparation and review))
The problems are presented on PandA system one week before each lecture. The students are advised
to try to solve those problems by yourselves. Some of problems are explained by the students and others
are explained by the teacher.

(Others (office hour, etc.))
The students are informed when office hours are held.

(Textbook)The original material prepared by the teacher is uploaded to PandA before each lecture.
No text is used.

(References)
References are presented during the class if necessary.

(Related URL)