Department of Mathematics Server University of Manitoba Information for students in MATH 1500 (A02) Fall 2018 Chapter 5

Lecture announcements, Chapter 5, 5.1-5.4
Integration (introduction)

Lecture plan: 5.1 general introduction; Supplementary notes covering 5.1 and 5.3; a brief return to 5.1; 5.2; 5.3; 5.4.

Lecture 32, November 26.

5.1: Two motivations. Intuitive ideas about area, area as a calculus/analytic geometry problem, the cumulative area function of a function.

SUPPLEMENTARY NOTES for Lectures 32 and 33.

Monday, November 26: Intuitive ideas about area.
Wednesday, November 28: Fundamental Theorem of Calculus.

Lecture 33, November 28.

Classroom notes on the Proof.
Definition of the Definite Integral.
Summation notation.
Classroom example example

Lecture 34, November 30.

Bits and pieces of 5.2 and 5.3. Examples, corrected. And the first sheet for Monday morning...
Notes

Lecture 35, December 03.

Examples

Lecture 36, December 05.

Lecture 37, December 07.

General Review session: Questions and Answers