Math 8: Calculus of Functions of One and Several Variables


Last updated March 20, 2012

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Syllabus

The following is a rough syllabus for the course.


Lectures
Section In Text
Brief Description
3/26 7.1 Integration by parts
3/28 7.8 Improper Integrals
3/30 11.1, 11.2 Sequences; Series
4/2 11.3 Integral Test
4/4 11.4, 11.5 Comparison Test; Alternating Series
4/6 11.6 Absolute Convergence; Ratio and Root Tests
4/9 11.8 Power Series
4/11 11.8 Power Series
4/13 11.9 Representing Functions with Power Series
4/16 11.10 Taylor and Maclaurin Series
4/18 11.10 Taylor and Maclaurin Series
4/20 Pre-Midterm Exam Wrap-up
4/23 12.1 Three-Dimensional Coordinate Systems
4/24 Midterm Exam 5 - 7 PM
4/25 12.2, 12.3 Vectors and Dot Products
4/27 12.4 The Cross Product
4/30 12.5 Equations of Lines and Planes
5/2 13.1, 13.2 Vector Functions and Their Derivatives and Integrals
5/4 13.3 Arc Length and Curvature
5/7 14.1 Functions of Several Variables
5/9 14.2 Limits and Continuity
5/11 14.3 Partial Derivatives
5/14 14.4 Tangent Planes and Linear Approximations
5/16 14.5 The Chain Rule
5/18 14.6 Directional Derivatives and the Gradient Vector
5/21 14.7 Maximum and Minimum Values
5/23 14.7 Maximum and Minimum Values
5/25 14.8 Lagrange Multipliers
5/28 No Class - Memorial Day!
5/30 Pre-Final Exam Wrap-up
6/1 Final Exam 11:30 AM - 1:30 PM