﻿ Wei-Chi Yang  |  Radford University ### Remember:

Be sure to get all your homework done as soon as possible after class as this will lead to better grades.

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### 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.

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1. Table of elementary indefinite integrals.
2. Riemann Sum (tutorial)
3. Homework:
• Section 4.2: page 236: page 235: #7, 11, 13, 15, 17, 23,25, 27, 29, 43 through 47 odd.
• Section 4.3: page 245, 9 through 19 odd, 23, 25, 29.
4. Cumulative Area (Java applet)
5. Fundamental Theorem of Calculus (FTC)
6. (Skip this section) Drill on Mean Value Theorem.
• homework: page 168, 11,13,17,21,31,33,35.
7. (lab 2) Substitution (Maple)
8. Natural Logarithmic Integration-Section 4.7 (HW: page 285, number 1-25 odd). Practices
9. Area between two curves. (tutorial)
10. Finding areas by transformations.
11. (skip) Exploration on Finding Area Between Two Curves (Dynamic Geometry Approach):
12. (lab 3) Solid of Revolution (A Java applet)
13. Practices on finding the volume of a solid of revolution
14. An old test 2 (solution to maple portion; test questions).
15. Arc Length and Surface Area (University of British Columbia).
• Exercises: page 340: 3-13 odd; page 341: 41,42.
16. Integration by parts (Maple file)
17. Trig. Integrations
18. Partial Fractions
19. Inverse Trigonometric Functions Integration-Section 4.8
• Exercises page 291, 1,2,7,9,11.
• (Review from math 151) Inverse Trig Functions and their derivatives.
• Explore with Maple.
20. Trig substitution technique:
21. Improper Integral
22. Drill on L'Hospital Rule.
23. Review for an old final exam.
24. Create a sample calculus test with Calculus Test Creator (from Furman University, South Carolina).
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25. Reviewing materials from math 151
26. Old Practice Test 1.
27. A preliminary report of a project funded by CASIO on using ClassPad.
28. CASIO files
29. 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)
5. Maximum and Minimum. (Maple file)
6. Maximum, Minimum, First Derivative Test
7. Second Derivative
8. Sharp Corners and Vertical Tangents.
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)
15. Newton's Method

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