This syllabus and other course materials can be found on the web at http://cc.kzoo.edu/~barth/mat420.html

MAT 420 Intermediate Calculus
Fall 1997
Eric Barth
Olds-Upton Hall, Room 203H
Phone: 337-7060
email: barth@kzoo.edu

Purpose:
A survey of the calculus that focuses on a deeper understanding of the material of Calculus I-II. Intended for students with a year of calculus at the high school level who wish to strengthen their analytical skills before undertaking additional courses in the department.

Goals:   

  • embrace scientific computing and visualization as everyday tools for mathematics   
  • develop skills for lively communication of mathematics in writing and speaking

    Text:
    Calculus from Graphical, Numerical, and Symbolic Points of View
    Arnold Ostebee and Paul Zorn
    1997, Saunders College Publishing

    Approximate Pace:
    22 Sept.
    Week 1     		What is a function? A limit? A derivative?
    Why do continuity and differentiability matter?
    The Mean Value Theorem and The Intermediate Value Theorem
    Computer Lab: Symbolic computation with Maple     		Chapters 1 and 2
    Sections 4.10-4.11
    29 Sept.
    Week 2     		What is fundamental about the Fundamental Theorem of Calculus?
    Computer Lab: Applications of the derivative     		Chapter 5
    6 Oct.
    Week 3     		Reading the chain rule backwards: integration by substitution
    What is natural about ``the natural logarithm''?
    Computer Lab: More applications of the derivative     		Chapter 6
    13 Oct.
    Week 4     		How do computers evaluate monster integrals?
    Computer Lab: Numerical integration     		Chapter 7
    20 Oct.
    Week 5     		What is integration good for?
    Applications of definite integrals
    Computer Lab: Numerical integration     		Chapter 8
    27 Oct.
    Week 6     		What has happened during the first half of the term?
    A chance to gather our thoughts, make mid-course corrections and plan for an exam.
    Exam Friday, 31 October
    Computer Lab: Numerical and symbolic integration
    3 Nov.
    Week 7     		What every Calc II student knows: Antidifferentiation techniques for selected monster integrals.
    Integration by Parts, Partial Fractions & Trig. Substitutions
    Computer Lab: Numerical and symbolic integration     		Chapter 9
    10 Nov.
    Week 8     		Improper Integrals?
    What every Calc II student loves: L'Hopital's Rule
    Computer Lab: Projects     		Chapter 10
    17 Nov.
    Week 9     		Sequences and Series
    Infinite lists of numbers and their sums
    Computer Lab: Projects     		Chapter 11
    24 Nov.
    Week 10     		What have we been doing the past 9 weeks?
    Thanksgiving holiday No classes Thursday and Friday
    1 Dec. No Classes Monday, Dec. 1 Final Exam Tuesday, Dec. 2

    Last update: