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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Lab Schedule
4/27/2009: Walker_221
4/29/2009: Walker_225 (Final Exam-Part 1)
10:15 a.m. Tuesday,
May 5: Final Exam-Part 2.
-
Drill on Mean Value Theorem.
- homework: page 168, 11,13,17,21,31,33,35.
- 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.
- Practice Test 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 2. (PDF)
- Homework: Section 4.2: page 236: 43 through 47 odd; Section 4.3: page 245, 9 through 19 odd.
- Cumulative Area (Java applet)
- 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.
- (A Maple file)
- Finding areas by transformations.
- Substitution
-
(Feb 23)
Area between two curves. (tutorial)
- Drill. (HW: Feb 23)
- Maple file
- (Feb 25) More practices (PDF file)
- Answer to an old test 3 (Word file, CASIO file)
- Exploration on Finding Area Between Two Curves (Dynamic Geometry Approach):
- Solid of Revolution (A Java applet)
- Integration by parts (Maple file)
- Trig substitution technique:
- Partial Fractions
- Help on L'Hospital Rule. (Maple file)
- Inverse Trig Functions and their derivatives.
- Improper Integral
-
Review
for an old final exam
-------------------------------- - Reviewing materials from math 151
- A preliminary report of a project funded by CASIO on using ClassPad.
- CASIO files
- Some materials from Math 151:
- Exercises on Chain Rule. (html file)
- Practice on Chain Rule with Maple.
- Implicit plots and implicit differentiation (Maple file)
- Helpful link to Section 4.1 (word problems to chain rule; html file)
- Maximum and Minimum. (Maple file)
- Maximum, Minimum, First Derivative Test
- Second Derivative
- Sharp Corners and Vertical Tangents.
- Two problems on page 277.
- Applications to Product and Quotient Rules
- CASIO file (the shortest distance between a point and a curve)
- Review for an old 151 final.
- An interest rate problem. (A Maple file)
-
Solutions to
an old Quiz 1. (PDF file)
- html file.
-
CASIO fls file.
(Lab 1)-L' Hospital Rule
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