Mathematics 243 Download Page (Spring 1999)

• 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.)
 
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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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