Calculus for PEARL students
News
Office Hour by a TA is held at DB108 in the 5th period on Wednesday staring October 4.
Courses
- 12th course on Jan. 15
- Writings in the Class, Solution to Quiz
- 11th course on Jan. 09
- Writings in the Class, Solution to Quiz, Exercises, Solution for Exercise I+II, Solution for Exercise III (corrected on Jan. 11)
- 10th course on Dec. 25
- Writings in the Class, Solution to Quiz Exercises, Solution to Exercises
- 9th course on Dec. 18
- Writings in the Class
- 8th course on Dec. 11
- Writings in the Class, Presentation on Lagrange Multiplier (No. 2), Exercises, Solution to Exercises
- 7th course on Dec. 04
- Writings in the Class, Presentation on Lagrange Multiplier, Solution to Quiz, Exercises, Solution to Exercises
- 6th course on Nov. 20
- Writings in the Class
- 5th course on Nov. 13
- Presentation on Chain Rule
- Wrtings in the Class, Exercises, Solution to Exercises
- 4th course on Nov. 06
- Presentation on Homogeneous Functions,
- Presentation on Strictly Convex Functions
- Wrtings in the Class, Exercises, Solution to Exercises
- 3rd course on Oct. 16
- Presentation, Wrtings in the Class, Solution to Quiz, Exercises, Solution to Exercise (Corrected on Oct. 16)
- 2nd course on Oct. 02
- Presentation(Corrected on Oct. 09), Wrtings in the Class, Solution to Quiz, Exercises, Solution to Exercise (corrected on Oct. 16)
- 1st course on Sep. 25
- Presentation (corrected after the class), Wrtings in the Class, Solution to Quiz, Exercises, Solution to Exercise I (Corrected on 09/27), Solution to Exercise II,
Introduction to Calculus for PEARL students
Textbook
- Calculus with Applications
- Authors: Peter D. Lax, Maria Shea Terrell
- ISBN: 978-1-4614-7945-1 (Print) 978-1-4614-7946-8 (Online)
- Webpage on link.springer.com.
- NB: Students in Keio Uniersity can download the book in PDF from the university network. The download is under IP address control.
Office Hour
- Office Hours
- Office hours by TA are held on Tuesday in 4TH period at DB103 of Dokuritsukan BLDG. It will start on April 25.
Courses
- 15th course on Jul 18 at D311 (Exercise Session)
- Writings in the Class, Solution to Exercises not explained in the session,
- 14th course on Jul 11
- Exercises (To be exaplined on July 18th)
- Writings in the Class, Solutions to Quiz
- 13th course on Jul 04
- Writings in the Class, Solutions to Quiz, Exercises (Corrected on July 11), Solution to Exercises (Added a page on July 18),
- Presentation on Taylor's Theorem (Continued)(V01)
- 12th course on Jun 27
- Writings in the Class, Solutions to Quiz, Exercises
- Presentation on Taylor's Theorem(V02, corrected on June 28)
- 11th course on Jun 20
- Writings in the Class
- Exercises, Solution to Exercises
- Presentation on Mean Value Theorem(V02, Corrected after class on Jun 20)
- Presentation on Convexity(V01)
- 10th course on Jun 13
- Presentation on Nepier's Number (corrected after class on Jun 13)
- Writings in the Class, Solutions to Quiz, Exercises, Solution to Exercises
- Presentation on Mean Value Theorem(V01)
- 9th course on Jun 06
- Presentation on Continuous Functions (Corrected on Jun 07 and 14, V04)
- Presentation on Nepier's Number (with 6 pages added on Jun 06)
- Presentation on Differentiable Functions (Corrected after class, V03)
- Writings in the Class, Solutions to Quiz
- 8th course on May 30
- Presentation on Differentiable Functions (Corrected after class, V02),
- Writings in the Class
- Solutions to Quiz
- Exercises, Solution to Exercises
- 7th course on May 23
- Presentation on Continuous Functions
- Writings in the Class
- Solutions to Quiz
- 6th course on May 16
- Presentation on Limit at Infinity
(corrected after Class, and on May 23),
- Writings in the Class
- Exercises (corrected in red on May 23)
- Solution Exercises
- 5th course on May 9
- Presentation on Limit of functions (corrected on May 16), Presentation on Nepier's Number (added acouple of pages on May 8),
- Writings in the Class
- Exercises,
- Solution to Exercises (Corrected on May 30)
- 4th course on May 2
- Presentation on Sequences and their limit (corrected after class), Presentation on Nepier's Number (corrected after class),
- Writings in the Class
- Exercises (corrected on May 8), Solution to Exercises,
- 3rd course on Apr. 25
- Presentation on Sequences and their limit (corrected after class), Presentation on Binomial Theorem (corrected after class), Exercises, Solution to Exercises, Solution to Quiz
-
A good reference on Binomial Theorem is
Chapter 3 of "Basic Analysis" (edited by Kunihiko Kodaira) - 2nd course on Apr. 18
- Presentation (corrected after class), Exercises, Solution to Exercises
-
A good reference on sequences and their sums is
Chapter 3 of "Basic Analysis" (edited by Kunihiko Kodaira)
This is a Japanese Highschool textbook of around 40 years ago. It is downloadabel from Keio University network. - 1st course on Apr. 11
- Important Notice The students taking the course should appear at D-311 in time at 16:30 on April 11 in order to take Placement TEST. They are grouped into two streams according to its result.