Math 8: Calculus of Functions of One and Several Variables

Spring 2013



Date Lecture What is Due?
Week 1
3/25 Introduction to Taylor Series; Introduction to Sequences
3/27 Sequences; Introduction to Series
3/29 Series
Week 2
4/1 Ratio/Root Tests HW & Quiz
4/3 Ratio Test & Integration by Parts
4/5 Integral and Comparison Tests
Week 3
4/8 Alternating Series Test HW & Quiz
4/10 Absolute & Conditional Convergence
4/12 Construction of Taylor Series
Week 4
4/15 Convergence of Taylor Series HW & Quiz
4/17 Some Uses of Taylor Series
4/19 Pre-Midterm Exam Wrap-Up HW Due
Week 5
4/22 Three-Dimensional Coordinate Systems
4/23
Midterm Exam (5-7 PM in Carpenter 013)
4/24 Class Canceled
4/26 Vectors in 2-Space and 3-Space
Week 6
4/29 Dot Product
4/30 Cross Product & Equation of Lines and Planes
5/1 Cross Product & Equation of Lines and Planes
5/3 Vector Functions and their Derivatives and Integrals HW & Quiz
Week 7
5/6 Vector Functions and their Derivatives and Integrals HW & Quiz
5/8 Arc Length
5/10 Partial Derivatives & Tangent Planes
Week 8
5/13 The Chain Rule HW & Quiz
5/15 Directional Derivatives and the Gradient Vector
5/17 Maximum and Minimum Values
Week 9
5/20 Maximum and Minimum Values HW & Quiz
5/22 Lagrange Multipliers
5/24 Lagrange Multipliers
Week 10
5/27 No Class - Memorial Day
5/29 Pre-Final Exam Wrap-Up
Final Exam
6/1 Final Exam (11:30AM in Room TBA)