w Math 23, Fall, 1998

Math 23, Fall, 1998

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.

Maple assignments are provides as maple worksheet files (release 5). 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
Math 23 Demo , Maple basics, with a bit more emphasis on Math 23 material.
Surface demo, Sec 11.6, Demo of quadric surfaces.
3_D plot demo, Sec 12.1, Demo of graphs of functions of 2 (and 3) variables.

Maple worksheets and homework assignments

Assignment #1 , First assignment, due October 26.
Assignment #1 solutions, First assignment solutions. Postscript format: Assignment #1 solutions-ps

General Information

General information and syllabus Postscript format: Information-ps
syllabus and Homework assignments for the midele third of the course Postscript format: syllabus-part 2-ps
Maple basics Postscript format: Maple-ps

Exams Rooms for the Final Exam.

Rooms for the final exam are as follows:

Math 23, Final Exam Locations

Sections Room

10-17 Packard Labs 101

18-25 Lower Grace

The exam begins at 4:00, and last three hours. You may not use a calculator, notes, books, or the assistance of another student during the exam.

Exams, old exams , and review sheets.

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. There is a Maple demo for this lecture: 3-D plot demo, Demo of graphs of functions of two (and three) variables.
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.
12.5, The Chain Rule. Postscript format: 12.5-ps.
12.6, The Directional Derivative and the Gradient. Postscript format: 12.6-ps.
12.7, Max/Min. Postscript format: 12.7-ps.
12.8, Lagrange multipliers. Postscript format: 12.8-ps.
13.1, Double Integrals. Postscript format: 13.1-ps.
13.2, Iterated Integrals. Postscript format: 13.2-ps.
13.3, Double Integrals over general domains. Postscript format: 13.3-ps.
13.4, Double Integrals in Polar Coordinates. Postscript format: 13.4-ps.
13.5, Applications of Double Integrals. Postscript format: 13.5-ps.
13.6, Surface Area. Postscript format: 13.6-ps.
13.7, Triple Integrals. Postscript format: 13.7-ps.
13.8, Triple Integrals in Spherical and Cylindrical Coordinates. Postscript format: 13.8-ps.
13.9, Change of Variables in Multiple Integrals. Postscript format: 13.9-ps.
14.1, Vector Fields. Postscript format: 14.1-ps.
14.2, Line Integrals. Postscript format: 14.2-ps.
14.3, Fundamental Theorem of line Integrals, conservative vector fields. Postscript format: 14.3-ps.
14.4, Green's Theorem. Postscript format: 14.4-ps.
14.5, Div, Grad, and Curl. Postscript format: 14.5-ps.
14.6, Parametric Surfaces, Area. Postscript format: 14.6-ps.
14.7, Surface Integrals. Postscript format: 14.7-ps.
14.8, Stokes' Theorem. Postscript format: 14.8-ps.
14.9, The Divergence Theorem. Postscript format: 14.9-ps.

`Math 23, Final Exam Locations`

`Sections`	`Room`

`10-17`	`Packard Labs 101`
`18-25`	`Lower Grace`