Math 23, Fall, 1997

Math 23, Calculus and Analytic Geometry III, will cover the chapters 11 - 14 of Calculus, Early Transcendentals, third edition, by James Stewart. The Maple supplement for Math 21, Discovering Calculus with Maple , by Harris and Lopez, might be useful for those having difficulty using Maple.

A note about file formats

Most lecture notes and exams now will be directly readable by most modern Web browsers, such as Netscape-3.0. Some older browsers may have trouble with the symbol fonts, however. There is an alternate version of most files, in postscript format, which provides better-quality print than the browsers. You can download these files by (in netscape) pressing Shift as you click on the link.

Some older notes and exams are not yet available in HTML format. This may be fixed as the semester progresses. Maple assignments are provides as maple worksheet files (release 4 for most of them, with release 3 files provided as needed). You can configure your browser to automatically load the files into Maple as you download them, but it is usually safer to download them to a file first, and load them into Maple separately. If you are on a public LAN, be sure to save the file to a floppy disk so you can keep it.

Maple demonstrations

Demo 1, Maple basics
Surface demo, Demo of quadric surfaces.
Functions of Several Variables , Demo of graphing of functions of 2 and three variables.

Maple worksheets and homework assignments

These will be posted when they are ready.

General Information

General information and syllabus Postscript format: Information-ps
Maple basics for workstations Postscript format: Maple-workstation-ps
Maple basics-PC Postscript format: Maple-ps

Exams, old exams , and review sheets.

Solutions for the '97 review sheet for the final exam are now available.

Fall 1997, Review Sheet for Exam #2 , Postscript format.
Fall 1994, Second Exam , Postscript format.
Fall 1995, Second Exam , Postscript format.
This Semester's First 4:00 exam solutions , Postscript format.
This Semester's Second 4:00 exam solutions , Postscript format.
First 4:00 exam, Fall, 1995-ps First 4:00 exam F95-html First 4:00 exam.
Second 4:00 exam, Fall, 1995-ps Second 4:00 exam F95-tex
Fall, 1994's final exam F94 final exam-ps This did not cover chapter 17 of the text in use then, which we will cover this year. Also, the translation to Web-format was rather poor, making this hard to read.
Fall, 1995's final exam F95 final exam-ps
Review sheet, F95-ps Review sheet-tex Review sheet for final exam.
Review Sheet for Final Exam (97) Postscript format: Review Sheet (97)-ps
Solutions to the Review Sheet for Final Exam (97) Postscript format: Review Sheet Solutions (97)-ps

Lecture Notes from Johnson's lectures

11.1, Coordinates in Space, 11.2, Vectors. Postscript format: 11.1-11.2-ps
11.3, Dot Product. Postscript format: 11.3-ps
11.4, Cross-Product. Postscript format: 11.4-ps
11.5, Equations of Lines and Planes . Postscript format: 11.5-ps
11.6, Quadric Surfaces. Postscript format: 11.6-ps. Check out the Maple demo for this lecture: Surface demo, Demo of quadric surfaces.
11.7, Vector-valued functions. Postscript format: 11.7-ps.
11.8, Arc Length and Curvature. Postscript format: 11.8-ps.
11.9, Velocity and Acceleration. Postscript format: 11.9-ps.
11.9-2, Kepler's laws Postscript format: 11.9-2-ps.
11.10, Cylindrical and Spherical coordinates Postscript format: 11.10-ps.
12.1, Functions of several variables. Postscript format: 12.1-ps.
12.2, Limits and continuity of f(x,y). Postscript format: 12.2-ps.
12.3, Partial Derivatives. Postscript format: 12.3-ps.
12.4, Tangent planes and Differentials. Postscript format: 12.4-ps.
Sections 12.5 (Chain Rule) through 13.2 (Double integrals over rectangles, Fubini's Theorem) Postscript format: 12.5-13.2-ps.
Section 13.3, Integrals over general regions. Postscript format: 13.3-ps.
Section 13.4, Double integrals in polar coordinates. Postscript format: 13.4-ps.
Section 13.5, Center of mass and moments of inertia. Postscript format: 13.5-ps.
Section 13.6, Surface area. Postscript format: 13.6-ps.
Section 13.7, Triple integrals. Postscript format: 13.7-ps.
Section 13.8, Triple Integrals in Spherical and Cylindrical Coordinates. Postscript format: 13.8-ps.
Section 13.9, Change of Coordinates in Multiple Integrals Postscript format: 13.9-ps.
Section 14.1, Vector Fields. Postscript format: 14.1-ps.
Section 14.2, Line Integrals. Postscript format: 14.2-ps.
Section 14.3, Fundamental Theorem for Line Integrals. Postscript format: 14.3-ps.
Section 14.4, Green's Theorem. Postscript format: 14.4-ps.
Section 14.5, Div, Grad, & Curl. Postscript format: 14.5-ps.
Section 14.6, Parametric surfaces, area. Postscript format: 14.6-ps.
Section 14.7, Surface Integrals. Postscript format: 14.7-ps.
Section 14.8, Stokes' Theorem. Postscript format: 14.8-ps.
Section 14.9, Divergence Theorem. Postscript format: 14.9-ps.