Anthony Bloch

Math 255 - Applied Honors Calculus III - Winter 2012

Math 255 (Applied Honors Calculus III) is part of the applied honors calculus sequence for engineering and science concentrators. Applications and concepts are discussed. Theorems are stated precisely and are derived, but technical details are sometimes omitted. Examples are given to illustrate the theory. Critical thinking and class participation are encouraged. The goal is to provide students with a solid background needed for subsequent courses in mathematics, engineering, or science. We will cover analytic geometry of lines and planes using vector notation, parametric representation of curves and surfaces, multivariable calculus, line surface and volume integrals, vector fields, Green's theorem, Stokes' theorem, divergence theorem, applications (e.g. electromagnetic fields, fluid dynamics). Applications will also be given to problems in mechanics.
Textbook: "Calculus", by James Stewart, published by Brooks/Cole
Advanced geometry and dynamics: "Nonholonomic Mechanics and Control", by Anthony Bloch and collaborators, published by Springer Verlag.
Class Time and Location (section 001): MoTuWeFr 10:00am-11:00am, 316 Denn.

Course info and syllabus:
courseinfo.

Homework 1:
Homework 1.

Homework 1 Solutions:
Homework 1 Solutions.

Homework 2:
Homework 2.

Homework 2 Solutions:
Homework 2 Solutions.

Homework 3:
Homework 3.

Homework 3 Solutions:
Homework 3 Solutions.

Homework 4:
Homework 4.

Homework 4 Solutions:
Homework 4 Solutions.

Review Problems 1:
Review.

Review Problems 1 solutions:
Review Solutions.

Homework 5:
Homework 5.

Homework 5 Solutions:
Homework 5 Solutions.

Homework 6:
Homework 6.

Homework 6 Solutions:
Homework 6 Solutions.

Homework 7:
Homework 7.

Homework 7 Solutions:
Homework 7 Solutions.

Homework 8:
Homework 8.

Homework 8 Solutions:
Homework 8 Solutions.

Homework 9:
Homework 9.

Homework 9 Solutions:
Homework 9 Solutions.

Review Problems 2:
Review 2.

Review Problem Solutions 2
Review 2 solutions.

Homework 10:
Homework 10.

Homework 10 Solutions:
Homework 10 Solutions.

Homework 10a:
Homework 10a (Maple).

Homework 11:
Homework 11.

Homework 11 Solutions:
Homework 11 Solutions.

Exam Review Problems:
Exam Review Problems.

Exam Review Problem Solutions:
Exam Review Problem Solutions.