CALCULUS I

Teaching Staff in AY1998 : Hiroshi SUZUKI
- Office : NS-S309, Tel.:3292, E-mail:hsuzuki@icu.ac.jp
Term and Schedule : Spring Term, 　Thurs. 2
Recitation : Mon. 6-7 or Wed. 6-7
For NS Freshman, Mon. recitation for Bm, Af, Jf, Km, Vf, Wed. for Am, Bf, Jm, Kf, Vm. Here upper case characters represent ELP sections and lower case m for male and f for female students.
Class Room : NS-N332
Class Schedule
Refernces
AY1996 Midterm Test
AY1996 Final Test
Classes in AY1998
Index

Month/Day	Title	Subjects
April 16	Continuity and Differentiability 1.1, 1.2	Continuity of functions, intermediate value theorem, Existence of maximum and minimum, derivative, tangent line
23	Diffentiation 1.3,1.4,1.5,1.6	Composite functions, derivatives of inverse functions, logarithmic derivatives, higher order derivatives
30	Mean Value Theorem 2.1,(5.2)	Mean value theorem, Taylor expansion, (partial derivatives)
May 7	Graphs of Functions 2.2,2.3,2.4	Extremum, convexity, vector valued functions, L'Hopital's theorem
14	Limits of indeterminates 2.4,2.5,2.6	Determination of limits using mean value theorem
*21	Definite and Indefinite Integrals 3.1,3.2,3.3	Mean value theorem of definite integrals, Fundamental Theorem of Calculus, Integration by parts, Integration by Substitution
28	Integration of Rational Functions 3.4,3.5,3.6	Various formulas
June 5	Improper Integral 3.7,3.8	Infinite integral, Laplace transform
11	Application of Integral 4.1,4.2	Length of a curve and area

Arima, Ishimura, "Yokuwakaru Bibun Sekibun", Tokyo-Tosho (in Japanese)

Many problems with complete solution.

Takagi, T., "Kaisaki Gairon", Iwanami Publ.

Classic. For students with theoretical interests.