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Course Description

This is the first course of a two-semester advanced mathematics sequence for selected cadets who have validated single variable calculus and demonstrated strength in the mathematical sciences.  It is designed to provide a foundation for the continued study of mathematics, sciences, and engineering.  This course consists of an advanced coverage of topics in multivariable calculus.  Topics include a detailed study vectors and geometry of space, vector functions, partial derivatives, multiple integrals, vector calculus, and infinite sequences and series.  An understanding of course material is enhanced through the use of Mathematica (computer algebra system) and Excel (spreadsheet).

Course Information

Course Memo and Objectives

Daily Course Guide

Syllabus

 Schedule

Fundamental Concepts

All students entering MA153 are expected to be proficient in these Fundamental Concepts.

See these Review Questions to prepare for the Fundamentals of Calculus Exam on 3 September 2008. 

You can find the Solutions to the Review Questions here!

Graded Homework

All homework should be submitted in accordance with the MA153 Graded Homework Format.

For questions on documentation, review the Academic Integrity Brief.

Read the Dean's USMA Documentation of Written Work.

Projects

Please follow the Advanced Mathematics Program's Project Write-up Guidance.

An example MA153 Project and Student Write-up is given here from last year. 

Also, this Writing Guide will provide a few tips that will keep you on track.

Guest Lecture Series

Video recordings of the MA153 Guest Lectures can be found linked to the USMA Academic Video Playback Website under Math.
 

Mathematica Links

The following link will get you up to speed with Mathematica (Version 6) in just a few minutes: http://url.wolfram.com/pq6whS/.

Links to Interesting Math Sites

Connected Curriculum Project - Interactive learning materials for mathematics and its applications.

MathWorld - The web's most extensive mathematics resource.

USMA Problem of the Week - Test your skill weekly on challenging problems.

Today in Math History - Daily Math-History events for Fall Semester 2008.

Instructors

MAJ Randy Boucher (Course Director)

LTC Donald Outing (Program Director)

This site is updated frequently.  Please check it often!
Last modified Monday, 05 January 2009 by MA153 Webmaster