Helmut Knaust - Old Classes

Classes - Spring 2002

• Sci 1300 - Introduction to Science and Engineering

  Course Syllabus [updated 2/24/02]
  Monday, January 14: Class Activity 1 | Homework 1
  Wednesday, January 16: Class Activity 2 | Homework 2
  Friday, January 18: Class Activity 3
  Wednesday, January 23: Handout 1 [PDF] | George Polya's How to Solve it | Homework 3
  Friday, January 25: Classnotes: Page 1 Page 2 Page 3 Page 4
  Monday, January 28: Homework 4 | Homework 5 | Pole Vault Example [XLS] | How to make an "xy" graph with Excel | How to insert a regression line with Excel | Remarks on Notetaking | Classnotes: Page 1 Page 2
  Wednesday, January 30: Classnotes: Page 1 Page 2 Page 3 Page 4
  Friday, February 1: Class Activity 4 | Homework 6 | Classnotes: Page 1 Page 2 Page 3
  Wednesday, February 6: Handout 2 [PDF] | Free Fall Animation | Classnotes: Page 1 Page 2 Page 3 Page 4 Page 5
  Friday, February 8: Class Activity 5 | Homework 7 | Classnotes: Page 1 Page 2 Page 3
  Monday, February 11: "From Geocentric to Heliocentric Cosmology"
  Wednesday, February 13: Test 1
  Friday, February 15: "RAT" 1
  Wednesday, February 20: "Earth and Venus" | "Earth and Venus" (Movie - 4.1 MB)
  Monday, February 25: Class Activity 6 | Homework 8
  Wednesday, February 27: Extra-credit Homework 1 | Web Resource: NinePlanets.org
  Friday, March 1: Class Activity 8 | Homework 9
  Monday, March 4: Class Activity 7
  Wednesday, March 6: Homework 10 | Homework 11
  Wednesday, March 13: Test 2
  Friday, March 15: Homework 12
  Monday, March 25: Class Activity 9 | Homework 13
  Wednesday, March 27: Remarks about the Group PowerPoint Presentations | Logistic Growth [XLS] | Extra-credit Homework 2
  Wednesday, April 3: Homework 14
  Friday, April 5: Homework 15
  Monday, April 8: A Predator-Prey-Model [XLS] | Lynx and Hare
  Wednesday, April 10: Class Activity 10 | Homework 16
  Friday, April 12: Foraging Experiment
  Wednesday, April 17: Class Activity 11 | Class Activity 12 | A Dynamical Hardy-Weinberg Model [XLS]
  Monday, April 22: Test 3
  Friday, April 26: Gregor Mendel [PPT] | Isaac Newton [PPT]
  Monday, April 29: Thomas Malthus [PPT]
  Wednesday, May 1: Charles Darwin [PPT] | Suggested Summer Reading
  Friday, May 10: Final Examination

Classes - Fall 2001

• Math 4341/5321 - Real Analysis/Principles of Analysis
  • Course Syllabus
  • Assignments
  • Errata for Marsden/Hoffman, 2nd ed. (PDF)
  • References
  • Homework 1 (PDF) | Homework 2 (PDF)
  • Homework 3 (PDF) | Homework 4 (PDF)
  • Homework 5 (PDF) | Homework 6 (PDF)

Classes - Spring 2001

• Math 1312 - Calculus II
  • Course Syllabus
  • Homework
  • Challenge 98 Project:
    • Exercise 1
    • Exercise 2
  • Worksheet 1 (PDF) | Worksheet 2 (PDF)

• Math 2326 - Differential Equations
  • Course Syllabus
  • Homework
  • Worksheet 1 (PDF) | Worksheet 2 (PDF)
  • Phase plane plotter (Java-applet):
    • "ODE Phase Portraits 1.1" by Richard Mansfield and Frits Beukers
    If you use this for first order DEQs, x is the independent variable; y is the dependent variable: Set x '=1.

• Math 3341 - Introduction to Analysis
  • Course Syllabus
  • Assignments
  • Homework 1 (PDF) | Homework 2 (PDF)
    Homework 3 (PDF)
  • Lemma for Theorem 5.6 (PDF)

• Math 4399 - Individual Study Course [Analysis]
  • Assignments
  • Homework 1 (PDF) | Homework 2 (PDF)
    Homework 3 (PDF) | Homework 4 (PDF)
    Homework 5 (PDF)

Classes - Fall 2000

• Math 1312 - Calculus II
  • Course Syllabus
  • Homework
  • Worksheet 1 (PDF)
    Worksheet 2 (PDF)

• Math 3341 - Introduction to Analysis
  • Course Syllabus
  • Assignments
  • HW 1 (PDF) HW 2 (PDF)
  • Lemma for Theorem 5.6 (PDF)

• Math 4341/5321 - Real Analysis/Principles of Analysis
  • Course Syllabus
  • Assignments
  • Practice Exam (PDF)
  • Practice Final Exam (PDF)
  • HW 1 (PDF) HW 2 (PDF) HW 3 (PDF)
    HW 4 (PDF) HW 5 (PDF)

Classes - Summer 2000

• Math 1312 - Calculus II
  • Course Syllabus
  • Homework
  • Worksheet 1

• Math 2326 - Differential Equations
  • Course Syllabus
  • Homework
  • Phase plane plotters (Java-applets):
    1. "ODE phase plane plotter" by Scott Herod
    2. "ODE Phase Portraits 1.1" by Richard Mansfield and Frits Beukers
    If you use these for first order DEQs, x is the independent variable; y is the dependent variable: Set x '=1.

Classes - Spring 2000

• Math 1411 - Calculus I
  • Course Syllabus
  • Homework

• Math 1312 - Calculus II
  • Course Syllabus
  • Homework

• Math 3326 - Differential Equations
  • Course Syllabus
  • Homework

Classes - Fall 1999

• Math 1411 - Calculus I
  • Course Syllabus
  • Homework
  • Practice Exams
    These are tests I gave 3 years ago. They are for practice purposes only. I do not give the same test twice. Note also that there were 4 tests then compared to three tests this semester; thus the tests will not cover exactly the same topics!
    • Test 1
    • Test 2
    • Test 3
    • Test 4

• Math 4341/Math 5321 - Real Analysis/Principles of Analysis
  • Course Syllabus
  • Assignments
  • "The Greatest Math Teacher Ever"
  • "The Greatest Math Teacher Ever, Part 2"

Classes - Summer 1999

• Math 1312 - Calculus II
  • Course Syllabus
  • Homework
  • Worksheets
    • Techniques of Integration
    • Partial Fractions
  • Practice Tests
    • Test 1
    • Test 2
    • Test 3
  • Solutions to Tests
    • Test 1
    • Test 2
    • Test 3
  • Mathematica Notebooks
    • Visual Integration. To execute this notebook, you also need an auxiliary file (put in the same directory as the notebook).
    • Taylor Polynomials

Classes - Spring 1999

• Math 4111 - Calculus I
  • Course Syllabus
  • Homework Assignments
  • Practice Exams
    • Test 1
    • Test 2
    • Test 3
    • Test 4

• Math 3570 - Technology in the Mathematics Classroom

Classes - Fall 1998

• Math 3112 - Calculus II
  • Course Syllabus.
  • Homework Assignments.
  • Practice Tests:
    • Test 1
    • Test 2
    • Test 3
  • Mathematica Notebooks
    To view Mathematica notebooks you need the free Math Reader. To execute a notebook you need Mathematica installed on your computer.
    • Visual Integration. To execute the notebook, you also need an auxiliary file (put in the same directory as the notebook).

• Math 3226 - Differential Equations
  • Course Syllabus.
  • Homework Assignments.
  • Project Guidelines.
  • Test 1 1 2 3 4 5.
  • Test 2 1 2 3 4 5 6.
  • Test 3 1 2 3 4 5.

• Math 3341 - Introduction to Analysis
  • Course Syllabus.
  • Assignments.
  • Polya's "How to Solve It".

Classes - Spring 1998

• Math 3226 - Differential Equations
  • Course Syllabus.
  • Homework Assignments.

• Math 3531 - Real Variables
  • Course Syllabus.
  • Some remarks about homework.
  • Polya's "How to Solve It".

Classes - Fall 1997

• Math 3341 - Introduction to Analysis
  • Course Syllabus.
  • Some remarks about homework.
  • Polya's "How to Solve It".
  • Homework
    • Assignment 1
    • Assignment 2
    • Assignment 3
    • Assignment 4
    • Assignment 5
    • Assignment 6
    • Assignment 7

• Math 3511 - Applied Mathematics (The Theory of Ordinary Differential Equations)
  • Course Announcement.
  • Course Syllabus.
  • Some remarks about homework.
  • Polya's "How to Solve It".
  • Mathematica Notebooks.