Mathematics 243 Download Page (Fall 1998)

• Text: Thomas, Jr., George B. and Finney, Ross L. Calculus and Analytic Geometry, 9th ed. New York: Addison-Wesley, 1996.  (This link is to the 10th edition.)
 
• Newsgroup: udel.fall98.math243-015


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• Course Syllabus (size: 16K)


• Maple Worksheets

Review (size: 11K)

Introduction to Vectors (sections 10.1 and 10.2, size: 10K)

The Dot and Cross Products (sections 10.3 and 10.4, size: 11K)

Lines, Planes, and Conic Sections (sections 9.1 and 10.5, size: 8K)

Quadric Surfaces (section 10.6, size: 8K)

Alternative Coordinate Systems; Vector Functions (sections 10.7 and 11.1, size: 9K)

Arc Length, Tangents, Normals, and Curvature (sections 11.3 and 11.4, size: 11K)

Level Curves and Surfaces, Contours, and Limits (sections 12.1 and 12.2, size: 8K)

Partial Derivatives, Linearization, and the Chain Rule (sections 12.3-12.5, size: 7K)

Gradients, Associated Concepts, Extrema, and Saddle Points (sections 12.7 and 12.8, size: 12K)

Lagrange Multipliers, Double Cartesian Integrals, and Multidimensional Moments (sections 12.9, 13.1, and 13.2, size: 11K)

Triple Cartesian Integrals, Multiple Integrals in Alternate Coordinate Systems (sections 13.3, 13.4, and 13.6, size: 12K)

Line Integrals, Vector Fields, Circulation, Flux, Work (sections 14.1 and 14.2, size: 10K)

Potentials, Conservative Fields, Green's Theorem (sections 14.3 and 14.4, size: 16K)




• Homework Sets

Homework Set 1 (size: 42K)

Review of MATH 241 and MATH 242.

Homework Set 2 (size: 44K)

Introduction to vectors (sections 10.1 and 10.2).

Homework Set 3 (size: 46K); Maple visualization aid (size: 2K)

The dot and cross products (sections 10.3 and 10.4).

Homework Set 4 (size: 45K)

Lines, conic sections, planes, cylinders, quadric surfaces, and alternative coordinate systems (sections 9.1 and 10.5-10.7).

Homework Set 5 (size: 28K)

Vector-valued functions, tangent vectors (section 11.1).

Homework Set 6 (size: 43K)

Arc length, curvature, acceleration, functions of several variables (sections 11.3, 11.4 and 12.1).

Homework Set 7 (size: 41K)

Limits, partial derivatives, differentials, and the chain rule for functions of several variables (sections 12.2-12.5).

Homework Set 8 (size: 50K)

Directional derivatives, gradients, extrema, and saddle points (sections 12.7 and 12.8).

Homework Set 9 (size: 49K)

Lagrange multipliers, double Cartesian integrals, and multiple-dimensional moments (sections 12.9, 13.1, and 13.2).

Homework Set 10 (size: 44K)

Triple Cartesian integrals, and multiple integrals in alternate coordinate systems (sections 13.3, 13.4, and 13.6).

Homework Set 11 (size: 45K)

Line integrals, vector fields, circulation, flux, work (sections 14.1 and 14.2).

Supplemental Study Material (size: unknown, not yet posted)

Potentials, conservative fields, Green's Theorem (sections 14.3 and 14.4).

 

• Sample Final Exams from other instructors.

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