Math 0901: Basic Algebra

Page Status: Current, Fall 2009
Last Update: Friday, October 30, 2009
Page Author & Instructor: Barry McQuarrie


Session: Fall 2009        Instructor: Barry McQuarrie        Office Hours:
MWF 1:00-2:05pm Office: Science 1380 MWF 9:15-10:30am
Location: Sci 3650 Phone: 589-6302 (I do not use voicemail) Th 10:30am-11:30am
mcquarrb@morris.umn.edu drop in (if my door is open we can talk, if it is closed I am not available)
http://cda.morris.umn.edu/~mcquarrb/ other times via email appointment


Course Prerequisites & Goals

Students taking this course will have a diverse background of mathematical experience. This course will not cover all the material that is in a high school algebra course. It is designed to help you identify and strengthen weaknesses in your math background up to the level of precalculus.

Textbook

NOTE: TEXTBOOK EDITION IS ACCURATE FOR FALL 2009.

Tobey, Slater and Blair Beginning and Intermediate Algebra 3rd or 2nd Ed (the bookstore has ordered the 3rd edition). Things I like about this textbook are that it has:

You could probably use Tobey and Slater Beginning Algebra 6th Ed. instead. This text will not include some topics that you might want to review before precalculus, such as exponential, logarithms, and an introduction to functions (these topics are not in this Basic Algebra course). Also, the homework problems probably will not match up.

Time Commitment

This course carries no credit for graduation, but 4cr towards financial aid. The workload is that of a 4cr course.

University policy says ''one credit is defined as equivalent to an average of three hours of learning effort per week (over a full semester) necessary for an average student to achieve an average grade in the course''. Our course is a four-credit course, meeting approximately three hours per week: 4 credits times 3 hours/week/credit - 3 hours/week in lecture = 9 hours/week outside class. Thus, you are expected to spend 9 hours per week working outside of class, reading the textbook and working problems.

Please make the most of my office hours! To get the most out of the course you should

Course Components

Units. The course is divided up into 13 self-contained units organized around different topics in algebra. The units build on themselves somewhat, so it is important to master a unit as we study it.

You will be allowed to use calculators on the homework and tests, but you should realize that a calculator alone cannot give you the algebraic mastery that you need to pass this course and to succeed in future courses. Focus on doing problems by hand and use the calculator sparingly.

There are sometimes different ways to solve mathematical problems. If you are proficient in a technique that is different than the one described in the text for a particular type of problem, talk with me about it. As long as you can answer the questions correctly and using correct mathematics, that will be sufficient.

Lectures. (Monday) Every Monday, I will lecture on the topics of the unit. I may not cover every single thing in the unit, so it is important that you are also reading the text and working on the homework problems. To get the most out of lectures, you should preview the unit by reading the text and seeing what types of problems are assigned in the homework.

Workshops. (Wednesday) Every Wednesday, we will have Workshop Wednesday. This is when you can work on problems and get help from me, our TA, and your peers. To get the most out of workshops, you should have worked on homework after Monday`s lecture, and identified places where you have questions.

To succeed in this course, you will have to do more homework than just what gets done in class during workshops! Practicing problems is what makes the information "portable" so that you can succeed on tests without access to notes, textbook, or other cues.

Proficiency Tests. (Friday) Every Friday, we will have a proficiency test for the current unit. To pass the proficiency test you will typically be allowed only one error (I want you to have mastery of the material, which is what you will need to succeed in future math courses-a passing familiarity with the concepts is not sufficient).

Depending on how the time goes, if you have a small number of errors on a proficiency test I may give it back to you and ask you to redo some problems. If you do not pass a proficiency test you can take another proficiency test for the unit on a following Friday (after completing the test for that week`s unit), or take it during office hours.

Final Exam. A cumulative final exam will count as Unit 14. Every student will write the final exam. If you have not successfully completed all thirteen units, during the final exam time you may also take a proficiency test for one of the units you have not passed.

Participation and WeBWorK. Historically, the people who do not earn above a C- in the class are the ones who simply do not come to class. Participation is Unit 15, and as long as you come to class regularly and are engaged in your learning you will earn credit for this unit. If you do not come to class (especially on Workshop Wednesday), you will not earn credit for participation. I have assigned some homework using WeBWorK, which you can learn more about here. Completing at least 60% of the WeBWorK homework will also be required to earn credit for the participation unit.

Grading

Your final grade is solely determined by the number of units you master during the semester. Please note that you are not competing against your fellow students.

The grade for the course will be calculated in the following manner:

Units Mastered 15 14 13 12 11 10 9 8 7 6 5 or less
Letter Grade A A- B+ B B- C+ C C- D+ D F
Grade Point 4.00 3.67 3.33 3.00 2.67 2.33 2.00 1.67 1.33 1.00 0.00

Here is the University-wide uniform grading policy.

A few of you may be taking the course S-N. In this case, you need to earn a C- to receive an S. An incomplete grade (I) is only given under truly extraordinary circumstances (falling behind in the course is not a sufficient reason for an I to be granted).

Expectations

Course Calender

Unit Dates purplemath icon Homework
Examples & WeBWorK
Resources
 
Aug 26 Course Introduction
purplemath icon homework guidelines Read: How to Succeed in My Courses
 
1: Prealgebra Review
Lecture: Aug 28
Workshop: Aug 31
Test: Sep 2
purplemath icon factoring numbers
purplemath icon fractions
purplemath icon decimals, fractions, and percents
0.1 Simplifying Fractions
0.2 Adding, Subtracting Fractions
0.3 Multiplying, Dividing Fractions
0.5 Percents
WeBWorK: Unit1
Practice Test
Skeleton Notes and Examples
 
2: Real Numbers and Variables
Lecture: Sep 4
Workshop: Sep 9
Test: Sep 11
purplemath icon order of operations
purplemath icon absolute value
purplemath icon negative numbers
purplemath icon exponents
purplemath icon simplifying with exponents
purplemath icon simplifying parentheses
1.1 Adding Real Numbers
1.2 Subtracting Real Numbers
1.3 Multiplying, Dividing Real Numbers
1.4 Exponents
1.5 The Order of Operations
1.6 The Distributive Property
1.7 Combining Like Terms
1.8 Substitution to Evaluate Formulas
1.9 Simplifying Parentheses
WeBWorK: Unit2
Practice Test
Skeleton Notes and Examples
 
3: Equations and Inequalities
Lecture: Sep 14
Workshop: Sep 16
Test: Sep 18
purplemath icon solving linear equations
purplemath icon word problems
purplemath icon solving linear inequalities
2.1 The Addition Principle
2.2 The Multiplication Principle
2.3 Addition, Multiplication Principles Together
2.4 Solving Equations with Fractions
2.5 English to Algebraic Expressions
2.6 Word Problems
2.7 Word Problems: Geometric Formulas
2.8: Solving Linear Inequalities
WeBWorK: Unit3
Practice Test
Skeleton Notes and Examples
Solving Literal Equations
 
4: Graphing Linear Equations and Inequalities
Lecture: Sep 21
Workshop: Sep 23
Test: Sep 25
purplemath icon slope and graphing
purplemath icon straight lines equations
purplemath icon graphing linear inequalities
3.1 Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 The Slope of a Line
3.4 Writing Equation of Line
3.5 Graphing Linear Inequalities
WeBWorK: Unit4
Practice Test
Notes and Examples
Interactive Practice for Graphing Line
Interactive Practice with Linear Inequalities
Calories | Sols
 
5: Systems of Linear Equations and Inequalities
Lecture: Sep 28
Workshop: Sep 30
Test: Oct 2
purplemath icon systems of linear equations
purplemath icon systems of linear inequalities
4.1 Systems Linear Equations in Two Variables
4.3 Applications of Systems
4.4 Systems of Linear Inequalities
WeBWorK: Unit5
Practice Test
Notes and Examples
Linear Systems in Chemistry
 
6: Exponents and Polynomials
Lecture: Oct 5
Workshop: Oct 7
Test: Oct 9
purplemath icon rules of exponents
purplemath icon polynomials
purplemath icon polynomials: adding
purplemath icon polynomials: multiplying
purplemath icon polynomials: dividing
5.1 Rules of Exponents
5.2 Negative Exponents
5.3 Fundamental Polynomial Operations
5.4 Multiplying Polynomials
5.5 Multiplying Special Cases
5.6 Dividing Polynomials
WeBWorK: Unit6
Practice Test
Notes and Examples
Exponents in Chemistry
FYI: Pascal`s Triangle
 
7: Factoring Part I
Lecture: Oct 12
Workshop: Oct 14
Test: Oct 16
purplemath icon simple polynomial factoring
purplemath icon factoring quadratics
6.1 Removing a Common Factor
6.2 Factoring by Grouping
6.3 Factoring x2 + bx + c
6.4 Factoring ax2 + bx + c
WeBWorK: Unit7
Practice Test
Notes and Examples
 
Oct 19: No Class: Fall Break
Oct 21: Individualized Workshops or Tests
Oct 23: Individualized Workshops or Tests
 
8: Factoring Part II
Lecture: Oct 26
Workshop: Oct 28
Test: Oct 30
purplemath icon special factoring formulas
purplemath icon solving quadratics
(first page by factoring only at this point)

6.5 Special Cases of Factoring
6.6 Factoring Review
6.7 Solving Quadratic Equations by Factoring
WeBWorK: Unit8
Practice Test
Notes and Examples
 
9: Rational Expressions
Lecture: Nov 2
Workshop: Nov 4
Test: Nov 6
purplemath icon simplifying rational expressions
purplemath icon multiplying rational expressions
purplemath icon adding rational expressions
7.1 Simplifying Rational Expressions
7.2 Multiplying, Dividing Rational Expressions
7.3 Adding, Subtracting Rational Expressions
WeBWorK: Unit9
Practice Test
Notes and Examples
 
10: Rational Equations
Lecture: Nov 9
Workshop: Nov 11
Test: Nov 13
purplemath icon complex fractions
purplemath icon solving rational equations
purplemath icon ratios and proportion
7.4 Complex Rational Expressions
7.5 Solving Equations Involving Rational Expressions
7.6 Ratios and Proportion
WeBWorK: Unit10
Practice Test
Notes and Examples
Ratio and Proportion in Chemistry
 
11: Rational Exponents and Radicals
Lecture: Nov 16
Workshop: Nov 18
Test: Nov 20
purplemath icon rational exponents
purplemath icon introduction to function notation
purplemath icon domain and range
purplemath icon radicals
(including rationalizing denominator)

8.1 Rational Exponents
8.2 Radical Expressions and Functions
8.3 Adding, Subtracting Radicals
8.4 Multiplying, Dividing Radicals
WeBWorK: Unit11
Practice Test
Notes and Examples
Functional Notation
Radicals in Geology
 
Nov 23: Individualized Workshops or Tests
Nov 25: Individualized Workshops or Tests
Nov 27: No Class: Thanksgiving
 
12: Radical Equations
Lecture: Nov 30
Workshop: Dec 2
Test: Dec 4
purplemath icon solving radical equations
purplemath icon complex numbers
purplemath icon variation
purplemath icon solving absolute value equations
purplemath icon solving absolute value inequalities
8.5 Radical Equations
8.6 Complex Numbers
8.7 Variation
9.7 Absolute Value Equations and Inequalities
WeBWorK: Unit12
Practice Test
 
13: Quadratics
Lecture: Dec 7
Workshop: Dec 9
Test: Dec 11
purplemath icon completing the square
purplemath icon the quadratic formula
purplemath icon the vertex form
9.1 Quadratic Equation
9.2 Quadratic Formula
9.3 Transforming into Quadratic
9.4 Applications of Quadratics
9.5 Sketching Quadratics
WeBWorK: Unit13
Practice Test
Lecture Notes
Quadratic Formula in Chemistry
 
Final Exam
Tues Dec 15 1:30-3:30pm
Skills Problems Everyone will take a cumulative final exam first.
If necessary, you can also take ONE proficiency test after turning in your final exam.