Professor Wei-Chi Yang

Calculus II - Math 152
Course Contract

Note. 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: Walker 225 (Feb 10).

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1. Table of elementary indefinite integrals.
   • Explore Antiderivatives  with Maple file
   • Drill.
   • HW: page 224, 7 through 27 odd numbers.
   • HW: page 225, 37,41,43,45
   • Solution to an old quiz. (PDF)
2. Riemann Sum (tutorial)
   • (a Java applet).
   • Animation on Riemann Sum (A maple file)
   • Rightend/Leftend/Midpoint approximation (Maple)
   • Limit of the Riemann Sum. (Maple)
3. Homework: Section 4.2: page 236: 43 through 47 odd; Section 4.3: page 245, 9 through 19 odd.
4. Cumulative Area (Java applet)
5. Fundamental Theorem of Calculus (FTC)
   • Section 4.4: page 257, 9-25 odd.
   • FTC and Java applets.
   • Visualize  why int(sin(x),x) = -cos(x)+C
   • Tutorial and examples.
   • (FTC-A Maple file)
   • (FTC-html file)
6. (Skip this section) Drill on Mean Value Theorem.
   • homework: page 168, 11,13,17,21,31,33,35.
7. Finding areas by transformations.
8. Substitution
   • A java applet
   • Drill Practice
9. Area between two curves. (tutorial)
   • Drill.
   • Maple file
   • More practices (PDF file)
   • Answer to an old test 3 (Word file, CASIO file)
10. Exploration on Finding Area Between Two Curves (Dynamic Geometry Approach):
    • ClassPad file
    • A video clip
11. Solid of Revolution (A Java applet)
    • Finding the volume step by step
    • Solid of Revolution (A Maple file)
12. Integration by parts (Maple file)
    • A java applet
    • Drill Practices.
13. Trig substitution technique:
    • Some reading material
    • Some Exercises
    • Reading material
14. Partial Fractions
    • Examples
    • Drill
15. Help on L'Hospital Rule. (Maple file)
    • Drill on L'Hospital Rule.
16. Inverse Trig Functions and their derivatives.
    • Explore with Maple.
    • A tutorial
17. Improper Integral
    • Tutorials
    • Drill
18. Review for an old final exam
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19. Reviewing materials from math 151
20. Old Practice Test 1.
21. A preliminary report of a project funded by CASIO on using ClassPad.
22. CASIO files
23. 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. CASIO file (the shortest distance between a point and a curve)
    12. Review for an old 151 final.
    13. An interest rate problem. (A Maple file)
    14. Solutions to an old Quiz 1. (PDF file)
        • html file.
        • CASIO fls file. (Lab 1)-L' Hospital Rule
    15. Newton's Method
        • A tutorial. (html file)
        • Newton's Method (A Maple file)
        • Use Newton's Method to find the inflection point of a function. (Maple file)
        • Drill on Newton's Method.
        • HW page 151: 5,7,9,11,13.

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