Professor Wei-Chi Yang

Calculus II - Math 152

*Many Maple files are modified from the department of math at North Carolina State University, my colleagues from Australia, U.S. and others. Some of the Maple files are created by myself.

Lab 8: November 2, Walker 216.

1. Course Contract
2. A preliminary report of a project funded by CASIO on using ClassPad.
3. CASIO files
1. Some materials from Math 151:
   1. Exercises on Chain Rule. (html file)
   2. Practice on Chain Rule with Maple.
   3. Implicit plots and implicit differentiation (Maple file)
   4. Helpful link to Section 4.1 (word problems to chain rule; html file)
      • Do you know what the surface area of a sphere is?
   5. Maximum and Minimum. (Maple file)
   6. Maximum, Minimum, First Derivative Test
   7. Second Derivative
   8. Sharp Corners and Vertical Tangents.
      • A problem.
      • Solutions to an old test.
   9. Two problems on page 277.
   10. Applications to Product and Quotient Rules
   11. **Review for an old 151 final.
2. Solutions to an old Quiz 1. (PDF file)
   • html file.
   • CASIO fls file. (Lab 1)-L' Hospital Rule
3. (August 24/27/31): Help on L'Hospital Rule (A Maple file)-Lab 1.
   • Drill on L'Hospital Rule.
4. (August 24/27): Drill on Mean Value Theorem.
5. (August 29) An interest rate problem. (A Maple file)
6. (August 29) Newton's Method
   • A tutorial. (html file)
   • Newton's Method (A Maple file)-Lab 1.
   • **Use Newton's Method to find the inflection point of a function. (Maple file)
   • Another algorithm on Newton's Method (from Grant Keady of Australia)
   • Drill on Newton's Method.
7. Inverse Trig Functions and their derivatives.
   • Explore with Maple-Lab 2.
   • A tutorial (must read) (September 7)
8. CASIO file (the shortest distance between a point and a curve)-Lab 2.
9. **Practice Test 1.
10. Table of elementary indefinite integrals.
    • Explore Antiderivatives  with Maple file
    • Drill.
11. Solution to an old quiz 2. (PDF)
    • Riemann Sum (tutorial)
      • (a Java applet).
      • Animation on Riemann Sum (A maple file)
      • Rightend/Leftend/Midpoint approximation (Maple)
      • Limit of the Riemann Sum. (Maple)
12. Area between two curves. (tutorial)
    • Drill.
    • Maple file
    • More practices (PDF file)
    • Answer to an old test 3 (Word file, CASIO file)
13. Fundamental Theorem of Calculus
    • Tutorial and examples.
    • (A Maple file)
    • Visualize  why int(sin(x),x) = -cos(x)+C
14. Finding areas by transformations.
15. Substitution
    • A java applet
    • Drill Practice
16. **Exploration on Finding Area Between Two Curves (Dynamic Geometry Approach):
    • ClassPad file
    • A video clip
17. Integration by parts (Maple file)
    • A java applet
    • Drill Practices.
18. Trig substitution technique:
    • Some reading material
    • Some Exercises
    • Reading material
19. Partial Fractions
    • Examples
    • Drill
20. Improper Integral
    • Tutorials
    • Drill
21. Solid of Revolution (A Java applet)
    • Finding the volume step by step
    • Solid of Revolution (A Maple file)
22. **Review for an old final exam
23. Reviewing materials from math 151