Mathematics 243 Download Page (Spring 1999)
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- Course Syllabus (size: 15K)
- Computer Instructions (size: 12K)
- Maple Worksheets
- Review (size: 17K) exercises
added March
15
- Introduction to Vectors (sections
10.1 and 10.2, size:
12K) exercises added March 15
- The Dot and Cross Products (sections
10.3 and
10.4, size: 14K) exercises added March 15
- Lines, Planes, and Conic Sections
(sections 9.1
and 10.5, size: 17K) exercises added March 15
- Quadric Surfaces (section 10.6, size:
84K)
exercises added March 16
- Alternative Coordinate Systems; Vector
Functions
(sections 10.7 and 11.1, size: 101K) exercises added March 16
- Arc Length, Tangents, Normals, and
Curvature
(sections 11.3 and 11.4, size: 17K) revised version posted
March
22
- Level Surface Animation (size: 636K)
- Level Curves and Surfaces, Contours, and
Limits
(sections 12.1 and 12.2, size: 108K)
- Partial Derivatives, Linearization, and
the Chain
Rule (sections 12.3-12.5, size: 12K)
- Gradients, Associated Concepts, Extrema,
and Saddle
Points (sections 12.7 and 12.8, size: 16K) revised
version
posted April 21
- Lagrange Multipliers and Double
Cartesian Integrals
(sections 12.9 and 13.1, size: 12K) revised version posted
April
28
- Multidimensional Moments and Polar Integrals
(sections
13.2 and 13.3, size: 9K) revised version posted April 28
- Triple Integrals (sections 13.4, and
13.6, size:
11K) revised version posted April 28
- Line Integrals, Vector Fields,
Circulation, Flux,
Work (sections 14.1 and 14.2, size: 12K)
- Potentials, Conservative Fields, Green's
Theorem
(sections 14.3 and 14.4, size: 17K)
- Homework Sets
- Homework Set 1 (size: 50K)
- Review of MATH 241 and MATH 242, introduction to vectors
(section 10.1).
- Homework Set 2 (size: 36K) revised
version
posted February 24
- Introduction to vectors, the dot product (sections 10.1 and
10.2).
- Homework Set 3 (size: 37K)
- The cross product, lines, conic sections, planes, cylinders,
quadric surfaces
(sections 9.1, 10.3-10.6).
- Homework Set 4 (size: 69K)
- Alternative coordinate systems, vector-valued functions,
tangent vectors
(sections 10.7, 11.1).
- Homework Set 5 (size: 53K)
revised version
posted March 24
- Arc length, curvature, acceleration (sections 11.3, 11.4).
- Homework Set 6 (size: 39K)
revised version
posted April 13
- Definitions, limits, partial derivatives, differentials, and
the chain
rule for functions of several variables (sections 12.1-12.5).
- Homework Set 7 (size: 47K)
revised version
posted April 19
- Directional derivatives, gradients, extrema, and saddle points
(sections
12.7 and 12.8).
- Homework Set 8 (size: 54K)
- Lagrange multipliers and double Cartesian integrals (sections
12.9 and
13.1).
- Homework Set 9 (size: 48K)
- Areas, moments, polar integrals, triple integrals, line
integrals (sections
13.2-13.4, 13.6, and 14.1).
- Supplemental Study Material (size:
46K)
- Vector fields and related integrals, potentials, conservative
fields, Green's
Theorem (sections 14.2-14.4).
- Sample
Final
Exams from other instructors.
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