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MATH 201
Math 201 (List of Homework Problems Fall 2008)
 
 

MATH 200
 
 

MATH 162
Math162 (List of Homework Problems Fall 2008)
 
 

MATH 161
Math161  Spring 2007 (Assignment B)
 

MATH 160
Math160 Fall 2005 (Assignment B)
 

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.

1. Chapter 2  (Operations)
2. Chapter 3  (Definition of Groups)
3.  Chapter 4 (Elementary Properties of Groups)
4.  Chapter 5  (Subgroups)
 

COPIES  OF  TRANSPARENCIES

1. Group Definition
2. Examples and Non-Examples of Groups
3.  Power Set of a Given Set
4.  The Principle of Mathematical Induction (Basic Version)
5.  How to use Mathematical Induction to do two problems in Group Theory (related to commuting elements)
6.  Two related problems on subgroups
7.  Given that H and K are two subgroups of G.  Prove that the intersecton of H and K is a subgroup, and also to prove that  HK is a subgroup provided that G is abelian
8.  The center Z(G) of  given group G
9.  The centralizer of an element in a  group G
10.  A certain subgroup of the direct produt group G X H
11. G  is any abelian group, and H is any subgoup of G.  Let K be the elements of G whose squares are in H. Then prove that K is a subgoup of G
12. The homomorphic image of any subgroup is also a subgroup (C3, page 143)
13. The center of any group is a normal subgroup of that group (D3, page 143)
14. The intersection of any two normal subgroups is also a normal subgroup ( A special case of D6, page 143)

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)
19. Answers to some questions: Gradient, Divergence, and Curl
20.  Gradient, Divergence, and Curl (Vector Identities)
21.  Answers to SomeVector Identities
 
 

MATH 201

COPIES  OF  TRANSPARENCIES

1. Go to Math 162 (Trigonometry) section below, and print all the transparencies 1-11.  This will be quite helpful for your trigonometry. Pay SPECIAL
    ATTENTION to the pages on Basic Identities and the Double Angle Formulas - Memorize them.
2.  Five Properties of Logarithms
3.  Exponential Functions, Logarithm Functions, and Inverse Trig Functions (all on one page)
4.  Exponential Functions and Log Functions - Derivatives & Integrals
5.  Inverse Trig Functions - Derivatives & Integrals
6. Recognizing Different Types of Integrals (This skill is very important for test taking!)
7. Four Good Problems in Completing the Square
8. An Elementary, but Very Important Limit
9. 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 !)
 

MATH 200

COPIES  OF  TRANSPARENCIES

1.  Go to Math 162 (Trigonometry) section below, and print all the transparencies 1-11.  This will be quite helpful for your trigonometry.
2.  On Limits
3.  The Limit of a Quotient
4.  The Intermediate Value Theorem (ITV)
4.  Three Meanings of the Derivatives
5.  Basic Differentiation Formulas
6.  Rolle's Theorem
7.  Mean Value Theorem
8.  Comprehensive Graphing Steps
9.  An Example of Comprehensive Graphing - Graph f(x) = x * Sqrt(16-x^2)
10.  Several Examples on Upper Sums, Lower Sums, and Area Problems
11.  Five Properties of Logarithms
12.  Exponential Functions, Logarithm Functions, and Inverse Trig Functions (all on one page)
13.  Exponential Functions and Log Functions - Derivatives & Integrals
14.  Inverse Trig Functions - Derivatives & Integrals
 
 

MATH 163

COPIES  OF  TRANSPARENCIES

1.  Five Properties of Logarithms
2.  Some Factoring Problems
3.  Some Equation Solving  Problems
4.  On Limits
5.  The Limit of a Quotient
6.  Three Meanings of the Derivatives
7.  Basic Differentiation Formulas
8.  Chain Rule
 
 

MATH 162

COPIES  OF  TRANSPARENCIES

1.  The definitions of six trigonometric functions.
2. The signs of trigonometric functions in various quadrants.
3. The Basic Trigononetric Identities.
4. The trigonomertric functions of special acute angles.
5. The diagram of special angles ("Color Wheel").
6. The Law of Sines.
7. The Law of Cosines.
8. The arc length and area of a sector formulas.
9. The graphs of sine and cosine functions.
10. How to graph sine and cosine functions - The Five-Step Method
11. The addition formulas for sine, cosines, and the tangents.
12. Double Angle formulas for sine, cosines, and the tangents.
 

MATH 161

COPIES  OF  TRANSPARENCIES / OTHER MATERIAL

1. The difference between the even roots and the odd roots.
2. All you need to know about linear functions .
3. Some building-block (parent) graphs.
4. Graphs, Domain, and Range for Many Types of Functions
5. Transformation Techniques.
6. Range of a function in two situations - Local Maximum ("mountain top") and Local Minimum ("bottom of a valley").
7. Vertex of a Parabola; Also Axis of Symmetry and Range.
8. How to find the zeros, local maximums and local maximums in a TI-82 or TI-83.
9. A collection of problems on zeroes of polynomials.
10. Five Properties of Logarithms.
11. Different Methods of Solving a Quadratic Equation
12. The Method of Completing the Square (IMPORTANT)
 

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

1. The Properties of Exponents
2. All you need to know about linear functions
 

MATH 201
(Math 201 Spring 1999  Test 3)
(Math 201 Fall 1999 Test 2)
(Math 201 Fall 1999 Test 3)
(Math 201 Spring 2001 Test 1)
(Math 201 Spring 2001 Test 2)
(Math 201 Spring 2001 Test 3)
(Math 201 Spring 2002 Test 1)
(Math 201 Spring 2002 Test 2)
(Math 201 Spring 2003 Test 2)
(Math 201 Spring 2003 Test 1)
(Math 201 Spring 2003 Test 3)
(Math 201 Spring 2004 Test 1)
(Math 201 Spring 2004  Test 2)
(Math 201 Spring 2004  Test 3)
(Math 201 Fall 2006  Test 1)
(Math 201 Fall 2006  Test 2)
(Math 201 Fall 2006  Test 3)
(Math 201 Spring 2007  Test 1)
(Math 201 Spring 2007  Test 2)
(Math 201 Spring 2007  Test 3)
(Math 201 Spring 2008  Test 1)
(Math 201 Spring 2008  Test 2.1)
(Math 201 Spring 2008  Test 2.2)
(Math 201 Spring 2008  Test 3)
(Math 201 Fall 2008  Test 2)(NEW !)
(Math 201 Fall 2008  Test 3)(NEW !)
 
 

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 163
(Math 163 Summer 2008 Test 1)
(Math 163 Summer 2008 Test 2)
(Math 163 Summer 2008 Test 3.1)
(Math 163 Summer 2008 Test 3.2)
 
 

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)(NEW !)
(Math 162 Fall 2008 Test 1.2)(NEW !)
(Math 162 Fall 2008 Test 2.1 and 2.2)(NEW !)
(Math 162 Fall 2008 Test 3.1)(NEW !)
(Math 162 Fall 2008 Test 3.2)(NEW !)
 

MATH 161
(Math 161 Summer 2003 Test 1)
(Math 161 Summer 2003 Test 2)
(Math 161 Summer 2003 Test 3)
(Math 161 Fall 2001 Test 1)
(Math 161 Fall 2001 Test 2)
(Math 161 Fall 2001 Test 3)
(Math 161 Fall 2001 Test 4)
(Math 161 Summer 2005 Test 1)
(Math 161 Summer 2005 Test 2)
(Math 161 Summer 2005 Test 3)
(Math 161 Summer 2006 Test 1)
(Math 161 Summer 2006 Test 2)
(Math 161 Summer 2006 Test 3)
(Math 161 Fall 2006 Test 1)
(Math 161 Fall 2006 Test 2)
(Math 161 Fall 2007 Test 1)
(Math 161 Fall 2007 Test 2)
(Math 161 Fall 2007 Test 3)
 
 

MATH 160
(Math 160 Summer 2005 Test 1)
(Math 160 Summer 2005 Test 2)
(Math 160 Summer 2005 Test 3)
(Math 160 UnknownSemester Test 3)
(Math 160 Fall 2005 Test 1)
(Math 160 Fall 2005 Test 2)
(Math 160 Fall 2005 Test 3v1)
(Math 160 Fall 2005 Test 3v2)
(Math 160 Summer 2006 Test 1)
(Math 160 Summer 2006 Test 2)
(Math 160 Summer 2006 Test 3)
 
 

MATH 092
(Math 092 Summer 2007 Test 1)
(Math 092 Summer 2007 Test 2)
(Math 092 Summer 2007 Test 3)
(Math 092 Summer 2008 Practice Test 2 & Answers)
(Math 092 Summer 2008 Practice Test 3 & Answers)
(Math 092 Summer 2008 Practice Test 4 & Answers)
(Math 092 Summer 2008 Practice Test for Final Exam, parts I & II & Answers)