Math 8
Calculus of Functions of One and Several Variables
Last updated September 14, 2015 10:48:13 EDT

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Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the homework assignment due dates on the Canvas web page will always be accurate.


Lectures Sections in Text Brief Description
9/16   The Taylor Polynomial
9/17 (x-hour) Section 2 A Crash Course in Basic Calculus (Optional)
9/18   Remainder Estimates
9/21   Sequences
9/22 (x-hour) Section 1 Basic Calculus Question Session (Optional)
9/23   Series
9/25   Improper Integrals and the Integral Test
9/28   The Comparison and Alternating Series Tests
9/30   The Ratio Test and Power Series
10/2   Functions as Power Series
10/5   Taylor and Maclaurin Series
10/7   Integration by Parts
10/9   Trigonometric Integrals
10/12   Exam 1
10/12   3-Dimensional Coordinate Systems
10/13 (x-hour) Sections 1,3 Applications of Integration
10/14   Vectors
10/15 (x-hour) Section 2 Applications of Integration
10/16   The Dot Product
10/19   The Cross Product
10/21   Lines and Planes
10/23   Derivatives and Integrals of Vector Functions
10/26   Arc Length
10/28   Motion Along a Curve
10/30   Functions of Several Variables: Limits and Continuity
11/2   Exam 2
11/2   Partial Derivatives
11/4   Tangent Planes and Linear Approximations
11/6   The Chain Rule
11/9   Directional Derivatives and the Gradient Vector
11/11   Maximum and Minimum Values
11/13   Lagrange Multipliers
11/16   Wrap Up
11/20   Final Exam


Marcia Groszek
Last updated September 14, 2015 10:48:13 EDT