Page 1 2018-2019 Math 2153
Mathematics 2153
Calculus III
Autumn, Spring, Summer
4 credits
Catalog Description:
Multivariable differential and integral calculus.
Prerequisites:
C- or better in 1152, 1172, 1534, 1544, 1181H, or 4181H; or credit for 153.xx, 154, 162.xx, or
162.01H.
Exclusions:
Not open to students with credit for any higher numbered math class, or for any quarter math
class numbered 254 or higher.
Text:
Calculus for Scientists and Engineers: Early Transcendentals, 2nd OSU custom edition, by Briggs,
Cochran, Gillett, published by Pearson, ISBN: 9781256776468
Topics:
CHAPTER 12. Vectors and Vector-Valued Functions
Section 1. Vectors in the Plane
Section 2. Vectors in Three Dimensions
Section 3. Dot Products
Section 4. Cross Products
Section 5. Lines and Curves in Space
Section 6. Calculus of Vector-Valued Functions
Section 7. Motion in Space
Section 8. Length of Curves
Section 9. Curvature and Normal Vectors
CHAPTER 13. Functions of Several Variables
Section 1. Planes and Surfaces, and brief conic section review
via pages 761 to 766 of Section 11.4
Section 2. Graphs and Level Curves
Section 3. Limits and Continuity
Section 4. Partial Derivatives
Section 5. The Chain Rule
Section 6. Directional Derivatives and the Gradient
Section 7. Tangent Planes and Linear Approximation
Section 8. Maximum/Minimum Problems
Section 9. Lagrange Multipliers
