Jeremy Schiff: Introduction to Calculus 2 (89-289)

Introduction to Calculus 2 (89-289)

This course is the second semester of the calculus sequence for computational biology students. Each week there is a 90 minute lecture (Tuesdays 16:00, building 105, room 216) and a 90 minute exercise class (given by Yonah Chernyavsky, Wednesdays 16:00).

Syllabus (Hebrew and English)
This is not quite the regular course syllabus, but is what we will do this year, including a few left overs from the first semester and cutting a few less important topics as there are only 11 lectures and 11 exercise classes scheduled.

Recommended book: Hebrew version of Howard Anton's calculus text. For Taylor series, see section 11.8 to the end of chapter 11; for differential equations see section 7.7 (first order) and chapter 19 (second order); for functions of several variables see chapter 16.

Useful Stuff

This is a place for interesting links. Please contribute!

A good first place to look up any mathematical subject is Mathworld. For example see articles on Taylor series, Maclaurin series, Taylor's theorem, the Cauchy Remainder term, the Lagrange Remainder term and Fourier series.
There is tons of material on the internet that is useful for this course. If you want to look for some you might try starting at calculus.org or calculus.net.
Yonah's homepage for the first semester course.

Exercise Sets

You will need a postscript viewer (GSview or gv) to view the postscript links below
Submission: It is compulsory to submit at least 4 of the 5 exercise sets, which will be graded. There is no formal grade for the exercises, but regular submission is a requirement for a passing grade in the course.

Taylor series and Fourier series: ps, pdf
Differential Equations 1: ps, pdf
Differential Equations 2: ps, pdf
Solutions (prepared by Yonah): Question 1, equation 3, Question 1, equation 5, Question 2, Question 3, Question 3 continued, Question 4, system 2, Question 4, last system.
Recursion relations; functions of several variables 1: ps, pdf
Solutions (prepared by Yonah): Question 1, Questions 3,4, Question 5, Question 6.
Functions of several variables 2: ps, pdf You can do questions 1-11 already!

Exams

Sample exam: ps, pdf
Moed aleph 5765: ps, pdf
Moed bet 5765: ps, pdf

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