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PROBLEM OF THE MONTH - NOVEMBER 2010

COURSE SYLLABI

MATH 223
Syllabus (Spring 2018)

MATH 201

Syllabus (Spring 2020) (NEW)

MATH 200

Syllabus (Fall 2019)

MATH 175
Syllabus (Fall 2019)

QUIZZES/HOMEWORKS

MATH 201
Math 201  (List of Homework Problems Fall 2015)

MATH 200

Math 200  (List of Homework Problems Fall 2019)

MATH 162
Math 162 (List of Homework Problems Spring 2020) (NEW)

AUXILIARY MATERIAL  FOR  COURSES

MATH 370

Here are some sample chapters (Chapters 2-5) from the Abstract Algebra book by Charles Pinter.  However, due to the copy rights, I am unable to put more chapters.  The ordering information is available from the instructor.

COPIES  OF  TRANSPARENCIES

SPECIAL  NOTE: At this point, I have done most of your homework problems, i.e. E1, pg 99 (in class), E3, pg 99 (in class), G1, pg 100 (in class),  B3, pg 142 (in class), C2, pg 143 (in class), C3, pg 143 (home page), D2, pg 143 (in class), D3, pg 143 (home page), D6, pg 143 (home page).  This is a total of 9 problems, and consists of most of the assigned problems on the Chapters 9 and 14.  Please study very hard for the test and I will be available on Monday to answer some more.  Some of the key words that you can study, but NOT LIMITED TO, are, injection, surjection, bijection, permutation, Symmetric Group, Group of Symmetries, group homomorphism, monomorphism, epimorphism, isomorphism, automorphism, endomorphism, kernel of a homomorphism, normal subgroup, center of a subgroup, etc.  The test will cover the material taught through last Tuesday (April 4), and Thursday (April 7) I gave a good review.  GOOD LUCK TO EACH ONE OF YOU ON THE TEST!

MATH 312

COPIES  OF  TRANSPARENCIES

0. Go to Math 162 (Trigonometry), Math 200, and Math 201 sections below, and print the necessary transparencies.  They will be quite helpful to polish up your trigonometry, and differentiation & integration formulas. Memorize them!
1. Definitions of Vector Operations
2.  Properties of Vector Operations
3.  How to Normalize a Vector (CRUCIAL)
4.  Visulaizing the Eight Octants (and the room with the best view!!)
5. Properties of the Dot Product
6.  The Connection Between the Dot Product and the Angle Between the Two Vectors
7.  The Famous Triangular Inequality and its Proof
8.  Cauchy-Schwarz Inequality and its Proof
9.  THE PROJECTION OF A GIVEN VECTOR ONTO ANOTHER VECTOR
10. The Cross Product of Two Vectors - Definition
11.  The Cross Product of Two Vectors - Algebraic and Geometric Properties
12.  The Equation of a line in Space - Parametric and Symmetric Forms
13.  The Equation of a Plane in Space
14. Calculaitng the Distance from a Point to a Plane - An example
15.  Calculating the Distance from a Point to a Plane - The General Formula and its Proof
16.  Gradient, Divergence, and Curl (Definitions)
17.  Gradient, Divergence, and Curl (Examples- page 1)
18.  Gradient, Divergence, and Curl (Examples - page 2)
20.  Gradient, Divergence, and Curl (Vector Identities)

MATH 201

COPIES  OF  TRANSPARENCIES

-1.  A Nice Cover Page Just For You!
0. Go to Math 162 (Trigonometry) section below, and print your choice of the transparencies 2-18.  This will be quite helpful for your trigonometry. Pay SPECIAL
ATTENTION to the pages on Trig Functions of Special Acute Angles, Color Wheel, Basic Identities and the Double Angle Formulas - Memorize them.
1.  Are you ready for Calculus II?  After reviewing the prior matarial, please take the following quizzes.  Each one has a time limit of 15 minutes.  Answers are available NOW!
Trial 1                 Trial 2                      Trial 3
2.  Five Properties of Logarithms
3. The trigonomertric functions of special acute angles
4. The diagram of special angles ("Color Wheel")
5. The Basic Trigononetric Identities
6. The addition formulas for sine, cosines, and the tangents
7. Double Angle formulas for sine, cosines, and the tangents
8.  Basic Differentiation Formulas
9. CHAIN RULE
10.  Exponential Functions, Logarithm Functions, and Inverse Trig Functions (all on one page)
11.  Exponential Functions and Log Functions - Derivatives & Integrals
12. Derivatives & Integrals of all six trig functions
13.  Inverse Trig Functions - Derivatives & Integrals
14. Four Good Problems in Completing the Square
15. Recognizing Different Types of Integrals (This skill is very important for test taking!)
16. Recognizing Different Types of Integrals -interactive version (Use Powerpoint 2003)
17,  The Method of Integration by Parts
18. Recognizing strategy for single powers of trig functions (Use Powerpoint 2007)
19.  Trigonometric Substitutions (Not ready yet)
20. An Elementary, but Very Important Limit
21. A Very Crucial Aspect of the Sequences and Series

OTHER USEFUL MATERIAL

1. http://integrals.wolfram.com/   (This site has a calculation engine which will integrate almost any function - try it!)  (NEW !)

2. http://www.wolframalpha.com/   (A general, but useful calculation engine - try it!) (NEW !)

MATH 200

COPIES  OF  TRANSPARENCIES

0. A Nice Cover Page For You
1.  Go to Math 162 (Trigonometry) section below, and print your choice of transparencies 1-18.  This will be quite helpful for the trigonometric aspects of your class.
2.  Calculus Readiness Tests.  Do these without any calculator or notes.  Each one has a limited time of 15 minutes:
3.  An excellent review of algebra and trig in one document
4. The Difference-Quotient of a Function (Master these pages before we learn calculus)
5.  Some Factoring Problems
6.  Some Equation Solving  Problems
7.  Five Rules of Exponents
8.  On Limits
9.  The Limit of a Quotient
10.  The Intermediate Value Theorem (ITV)
11.  Three Meanings of the Derivatives
12.  Basic Differentiation Formulas
13. CHAIN RULE
14. Basic Ingredients for Implicit Differentiation
15.  Rolle's Theorem
16.  Mean Value Theorem
17.  Comprehensive Graphing Steps
18.  An Example of Comprehensive Graphing - Graph f(x) = x * Sqrt(16-x^2)
19.  Several Examples on Upper Sums, Lower Sums, and Area Problems
20.  Five Properties of Logarithms
22.  Exponential Functions, Logarithm Functions, and Inverse Trig Functions (all on one page)
23.  Exponential Functions and Log Functions - Derivatives & Integrals
24. Derivatives & Integrals of all six trig functions
25.  Inverse Trig Functions - Derivatives & Integrals

OTHER USEFUL MATERIAL

1. http://integrals.wolfram.com/   (An integration engine - try it!) (NEW !)
2. http://www.wolframalpha.com/   (A general, but useful calculation engine - try it!) (NEW !)

MATH 175

COPIES  OF  TRANSPARENCIES

0.  Booklet 1 (Consists of background algbera material fron previous classes and the trig portion covered in the semester)
1. Two warm-up sample quizzes. Do them URGENTLY, but preferably after a review of items 2, 3, 4 and 5 below.
PR 1       PR2
2. The Properties of Exponents
4.  Some Factoring Problems
5. Different Methods of Solving a Quadratic Equation
6.  Some Equation Solving  Problems
7. The Method of Completing the Square (IMPORTANT)
8. The Difference-Quotient of a Function (Master these pages before you learn calculus)
9. All you need to know about linear functions
10. Some building-block (parent) graphs .
11. Graphs, Domain, and Range for Many Types of Functions
12. Transformation Techniques
13. A collection of problems on zeroes of polynomials .
14. Five Properties of Logarithms.

15.  The definitions of six trigonometric functions.
16. Trig functions of quadrantal angles
17. The signs of trigonometric functions in various quadrants .
18. The Basic Trigononetric Identities .
19. Given one trigonometric function, how to find the others (EXTREMELY IMPORTANT)
20. New definitions for trig functions of acute angles
21. The trigonomertric functions of special acute angles.
22. The diagram of special angles ("Color Wheel")
23. The Law of Sines .
24. The Law of Cosines .
25. The arc length and area of a sector formulas.
26. The graphs of sine and cosine functions .
27. How to graph sine and cosine functions - The Five-Step Method
28.  A Template for Graphing Sine and Cosine Functions
29.  Graphs of the Last Four Trig Functions
30.  Summary of Properties of the Six Trig Functions
31. The addition formulas for sine, cosines, and the tangents .
32. Double Angle formulas for sine, cosines, and the tangents .

MATH 165

COPIES  OF  TRANSPARENCIES

0.  Booklet 1 (Consists of background algbera material fron previous classes and the trig portion covered in the semester)
1. Two warm-up sample quizzes.  Each one has a limited time of 15 minutes. Do them URGENTLY, but only after a review of items 2, 3, 4 and 5 below.
2. The Properties of Exponents
4.  Some Factoring Problems
5.  Some Equation Solving  Problems
6.  The definitions of six trigonometric functions.
7. Trig functions of quadrantal angles
8. The signs of trigonometric functions in various quadrants .
9. The Basic Trigononetric Identities .
10. Given one trigonometric function, how to find the others (EXTREMELY IMPORTANT)
11. New definitions for trig functions of acute angles
12. The trigonomertric functions of special acute angles.
13. The diagram of special angles ("Color Wheel")
14. The Law of Sines .
15. The Law of Cosines .
16. The arc length and area of a sector formulas.
17. The graphs of sine and cosine functions .
18. How to graph sine and cosine functions - The Five-Step Method
19.  A Template for Graphing Sine and Cosine Functions
20.  Graphs of the Last Four Trig Functions
21.  Summary of Properties of the Six Trig Functions
22. The addition formulas for sine, cosines, and the tangents .
23. Double Angle formulas for sine, cosines, and the tangents .
24. All you need to know about linear functions
25. Different Methods of Solving a Quadratic Equation
26. The Method of Completing the Square (IMPORTANT)
27. The Difference-Quotient of a Function (Master these pages before you learn calculus)
28. Some building-block (parent) graphs .
29. Graphs, Domain, and Range for Many Types of Functions
30. Transformation Techniques
31. A collection of problems on zeroes of polynomials .
32. Five Properties of Logarithms.

MATH 163

COPIES  OF  TRANSPARENCIES

0. A Nice Cover Page For You
1.  Five Rules of Exponents
2.  Factoring and Expanding Special Binomials
3.  Simplifying Rational Expressions
5.  A Brief Review of Algebra for Elementary Calculus
6.  Five Properties of Logarithms
8.  Approximations for Pi and E
9.  Some Factoring Problems
10.  Some Equation Solving  Problems
11.  On Limits
12.  The Limit of a Quotient
13.  Three Meanings of the Derivatives
14.  Basic Differentiation Formulas
15.  Chain Rule
16. Exponential Functions and Log Functions - Derivatives & Integrals
17. All Abouts Tangent Lines - An excellent collection of problems

MATH 162

COPIES  OF  TRANSPARENCIES

0. A Nice Cover Page For You
1.1. Some great problems on Pythagorean Theorem
2.  The definitions of six trigonometric functions.
3. Trig functions of quadrantal angles
4. The signs of trigonometric functions in various quadrants .
5. The Basic Trigononetric Identities .
6.  Given one trigonometric function, how to find the others (EXTREMELY IMPORTANT)
7.  New definitions for trig functions of acute angles
8. The trigonomertric functions of special acute angles.
9. The diagram of special angles ("Color Wheel")
10. The Law of Sines
11. The Law of Cosines
12. The arc length and area of a sector formulas.
13. The graphs of sine and cosine functions
14. How to graph sine and cosine functions - The Five-Step Method
15.  A Template for Graphing
16. Graphs of the Last Four Trig Functions
17. The addition formulas for sine, cosines, and the tangents
18. Double Angle formulas for sine, cosines, and the tangents

MATH 161

COPIES  OF  TRANSPARENCIES / OTHER MATERIAL

OTHER USEFUL MATERIAL

1.  West Texas A&M University College Algebra Page (This has many sample problems, practise tests - try it!) (NEW !)

MATH 092

COPIES  OF  TRANSPARENCIES / OTHER MATERIAL

OLD  TESTS  FOR VARIOUS  COURSES
MATH 312
( Math 312 Spring 2008 Test 1 )
( Math 312 Spring 2008 Test 2
( Math 312 Spring 2008 Test 3 )

MATH 200

( Math 200 Fall 2001 Test 1 )
( Math 200 Fall 2002 Test 1 )
( Math 200 Spring 2006 Test 1 )
( Math 200 Fall 2003 Test 2 )
( Math 200 Fall 2001 Test 2 )
( Math 200 Spring 2006 Test 2 )
( Math 200 Fall 2001 Try-out )
( Math 200 Fall 2003 Test 3 )
( Math 200 Spring 2006 Test 3 )
( Math 200 Summer 2007 Test 1 )
( Math 200 Summer 2007 Test 2 )
( Math 200 Summer 2007 Test 3 )
( Math 200 Fall 2007 Test 1 )
( Math 200 Fall 2007 Test 2 )
( Math 200 Fall 2007 Test 3 )
( Math 200 Spring 2009 Test 1 )
( Math 200 Spring 2009 Test 2 )
( Math 200 Spring 2009 Test 3 )
( Math 200 Spring 2009 Test 1 )
( Math 200 Summer 2009 Test 1 )
( Math 200 Summer 2009 Test 2 )
( Math 200 Summer 2009 Test 3 )
( Math 200 Fall 2009 Test 1 )
( Math 200 Fall 2010 Test 1 )(Sorry- not active!)
( Math 200 Fall 2010 Test 2 )
( Math 200 Fall 2010 Test 3 )
( Math 200 Fall 2011 Test 1 )
( Math 200 Fall 2011 Test 2 )
( Math 200 Fall 2011 Test 3 )
( Math 200 Fall 2012 Test 1 )
( Math 200 Fall 2012 Test 2 )
( Math 200 Fall 2012 Test 3 )
( Math 200 Fall 2013 Test 1 )
( Math 200 Fall 2013 Test 2 )
( Math 200 Fall 2013 Test 3 )
( Math 200 Fall 2013 Test 1 )
( Math 200 Summer 2014 Test 1)
( Math 200 Summer 2014 Test 2)
( Math 200 Summer 2014 Test 3)
( Math 200 Spring 2015 Test 1)
( Math 200 Spring 2015 Test 2)
( Math 200 Spring 2015 Test 3)
( Math 200 Fall 2016 Test 1)
( Math 200 Fall 2016 Test 2)
( Math 200 Fall 2016 Test 3)
( Math 200 Summer 2017 Test 1)
( Math 200 Summer 2017 Test 3)

MATH 165
( Math 165 Summer 2009 Test 3 )
( Math 165 Fall 2009 Test 1 )
( Math 165 Fall 2009 Test 2 )
( Math 165 Fall 2009 Test 3 )
( Math 165 Summer 2010 Test 1 )
( Math 165 Summer 2010 Test 2 )
( Math 165 Summer 2010 Test 3 )
( Math 165 Fall 2016 Test 1 )
( Math 165 Fall 2016 Test 2v1 )
( Math 165 Fall 2016 Test 2v2 )
( Math 165 Fall 2016 Test 3v1 )
( Math 165 Fall 2016 Test 3v2 )

MATH 162
( Math 162 Spring 2002 Test 1 )
( Math 162 Spring 2004 Test 1 )
( Math 162 Spring 2005 Test 1 )
( Math 162 Spring 2001 Test 2 )
( Math 162 Spring 2002 Test 2 )
( Math 162 Spring 2005 Test 2 )
( Math 162 Spring 2002 Test 3 )
( Math 162 Spring 2002 Test 4 )
( Math 162 Spring 2003 Test 3 )
( Math 162 Summer 2003 Test 3 )
( Math 162 Fall 2004 Test 3v1 )
( Math 162 Fall 2004 Test 3v2 )
( Math 162 Fall 2005 Test 1 )
( Math 162 Fall 2005 Test 2 )
( Math 162 Fall 2005 Test 3v1 )
( Math 162 Spring 2006 Test 1 )
( Math 162 Fall 2006 Test 1 )
( Math 162 Fall 2006 Test 2 )
( Math 162 Fall 2006 Test 3v1 )
( Math 162 Fall 2006 Test 3v2 )
( Math 162 Spring 2007 Test 1 )
( Math 162 Spring 2007 Test 2 )
( Math 162 Spring 2007 Test 3v1 )
( Math 162 Spring 2007 Test 3v2 )
( Math 162 Fall 2007 Test 1 )
( Math 162 Fall 2007 Test 2.1 )
( Math 162 Fall 2007 Test 2.2 )
( Math 162 Fall 2007 Test 3.1 )
( Math 162 Fall 2007 Test 3.2 )
( Math 162 Fall 2008 Test 1.1 )
( Math 162 Fall 2008 Test 1.2 )
( Math 162 Fall 2008 Test 2.1 and 2.2 )
( Math 162 Fall 2008 Test 3.1 )
( Math 162 Fall 2008 Test 3.2 )
( Math 162 Spring 2009 Test 1 )
( Math 162 Spring 2009 Test 2 )
( Math 162 Spring 2009 Test 3 )
( Math 162 Fall 2009 Test 2 )
( Math 162 Fall 2009 Test 3v1 )
Math 162 Fall 2009 Test 3v2 )
( Math 162 Spring 2010 Test 1 )
( Math 162 Spring 2010 Test 2 )
( Math 162 Spring 2010 Test 3v1 )
( Math 162 Spring 2010 Test 3v2 )
( Math 162 Summer 2010 Test 1 )
( Math 162 Summer 2010 Test 2 )
( Math 162 Summer 2010 Test 3 )
( Math 162 Fall 2010 Test 1 )
( Math 162 Fall 2010 Test 2 )
( Math 162 Fall 2010 Test 3 )
( Math 162 Fall 2010 Test 1 )
( Math 162 Fall 2010 Test 2 )
( Math 162 Fall 2010 Test 3 v1 )
( Math 162 Fall 2010 Test 3 v2 )
( Math 162 Fall 2011 Test 1 )
( Math 162 Fall 2011 Test 2 )
( Math 162 Fall 2011 Test 3 v1 )
( Math 162 Fall 2011 Test 3 v2 )
( Math 162 Spring 2012 Test 1 )
( Math 162 Spring 2012 Test 2 )
( Math 162 Spring 2012 Test 3v1 )
( Math 162 Spring 2012 Test 3v2 )
( Math 162 Summer 2012 Test 1 )
( Math 162 Summer 2012 Test 2 )
( Math 162 Summer 2012 Test 3 )
( Math 162 Fall 2012 Test 1 v1 )
( Math 162 Fall 2012 Test 1v2 )
( Math 162 Fall 2012 Test 2v1 )
( Math 162 Fall 2012 Test 2v2 )
( Math 162 Fall 2012 Test 3 )
( Math 162 Spring 2013 Test 1 )
( Math 162 Spring 2013 Test 2)
( Math 162 Spring 2013 Test 3 )
( Math 162 Fall 2013 Test 1 )
( Math 162 Fall 2013 Test 2 )
( Math 162 Fall 2013 Test 3 )
( Math 162 Spring 2014 Test 1 )
( Math 162 Spring 2014 Test 2 )
( Math 162 Spring 2014 Test 3 )
( Math 162 Spring 2015 Test 1 )
( Math 162 Spring 2015 Test 2 )
( Math 162 Spring 2015 Test 3 )
( Math 162 Fall 2015 Test 1 )
( Math 162 Fall 2015 Test 2 )
( Math 162 Fall 2015 Test 3
( Math 162 Spring 2016 Test 1 )
( Math 162 Spring 2016 Test 2v1)
( Math 162 Spring 2016 Test 2v2)
( Math 162Spring 2016 Test 3)