Calculus II - Math 152
Course Contract
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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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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)
- Riemann Sum (tutorial)
- 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.
- Cumulative Area (Java applet)
- Fundamental Theorem of Calculus
(FTC)
- Profof of the First FTC (graph1, graph2).
- Section 4.4: page 257, 9-25 odd. (September 8)
- Section 4.4: page 257, 73-83 odd. (September 10)
- FTC and Java applets.
- Visualize why int(sin(x),x) = -cos(x)+C
- Tutorial and examples.
- (FTC-A Maple file)
- (FTC-html file)
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(Skip this section)
Drill on Mean Value Theorem.
- homework: page 168, 11,13,17,21,31,33,35.
- (lab 2)
Substitution
(Maple)
- A java applet
- Drill Practice
- (September 15) Homework from the text: page 269, 7-21 odd.
- Natural Logarithmic Integration-Section 4.7 (HW: page 285, number 1-25 odd).
- Practices
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Area between two curves. (tutorial)
- Drill.
- Maple file
- More practices (PDF file)
- Answer to an old test 3 (Word file, CASIO file)
- Finding areas by transformations.
- (skip) Exploration on Finding Area Between Two Curves (Dynamic Geometry Approach):
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(lab 3)
Solid of Revolution (A Java applet)
- Solid of Revolution (A Maple file)
- A template
- A solution to the problems using disc method.
- Gallery of Shell Method
- Reading Material on Disc and Shell Methods .
- Practices on finding the volume of a solid of revolution
- An old test 2 (solution to maple portion; test questions).
- Arc Length and Surface Area (University of
British Columbia).
- Exercises: page 340: 3-13 odd; page 341: 41,42.
- Integration by parts (Maple file)
- Trig. Integrations
- Practice 1. (from Dr. Kouba of UC Davis)
- Practice 2.
- Partial Fractions
- 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.
- Trig substitution technique:
- Drill Practices.
- Some Exercises
- Homework from the text book: page 390, #5,9,15,17,19,21.
- Improper Integral
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Drill on L'Hospital Rule.
- Help on L'Hospital Rule. (Maple file)
- Review for an old final exam.
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Create a sample calculus test with Calculus Test
Creator (from Furman University, South Carolina).
-------------------------------- - Reviewing materials from math 151
- Old Practice Test 1.
- 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
- 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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