MAT 153

Euclidean Geometry

Spring 2013

 

Instructor: Bruce Armbrust, phone:541-4660x314, email: bruce.armbrust@hotmail.com

 

Office Hours: Room A210,   Mon, Wed        1:00  – 2:00 PM

                                                Tues                8:30 – 9:30 AM

Thurs               12:30 – 1:30 PM

MSC A201,      Fri                    11:00 AM – 12:00 PM

And as always, by appointment.

 

Class Time and Location: Mon. & Wed. 11:00 AM – 12:50 PM, D108

 

Textbook: Elementary Geometry for College Students, 5th Ed., Alexander & Koeberlein

 

Calculator:  Calculators are not allowed in this course.

 

Course Description: Mat153 is a formal course in Geometry covering the basics of lines, planes, angles, triangles and congruence, the Pythagorean Theorem, similarity, and special right triangles.  The methods of deductive reasoning will be studied in depth.

 

Corequisite: Mat152B of Mat152BB or equivalent or appropriate skills demonstrated through the math assessment process.  Prior completion of Mat152B or Mat152BB with a grade of “C” or better also satisfies this corequisite.

 

Student Learning Outcomes:

1. Prove geometric statements using classical axioms and theorems.
2. Perform ruler and compass constructions.
3. Make deductions using the rules of logic.
4. Solve problems involving parallel lines, triangles, and angles.

 

Course Grade: Your final letter grade will be based on the usual grading scale:

A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59%

The following items will make up the course grade:

 

Homework:                              25%

Quizzes:                                 15%

Exam1 (May 8):                       15%

Exam2 (June 5):                     15%

Final Exam (June 24):             30%

 

You may check your grades at any point in the quarter by accessing the grade book for this class through Passport.

 

Homework: Homework will be due the class period after it is assigned.  Homework not turned in at this time will be considered late. You may turn in homework up to one week after it is assigned for half credit.  If all homework is turned in, and no more than two are late, you will be allowed to have a 3’ x 5’ card with notes on the final exam.

 

Quizzes: Quizzes will be given weekly.  The quizzes are designed to help prepare you for the exams, and quiz problems will be taken directly from the homework assignments. Your lowest quiz score will be dropped.  Since one score will be dropped, you may not make up a missed quiz.

 

Exams:  Students are to bring a pencil and blank scratch paper to each exam.  If you cannot make it to an exam (final not included), you may take it up to 2 school days prior to the scheduled date with proper arrangements.  Otherwise, the exam may be made up after the scheduled date with a penalty of 10% per day.  It is up to you to contact the instructor (me) to arrange making up exams.

 

Registration Information: You may drop the class with no penalty or mark on your record until May 3.  After May 3, you may drop the class and receive a grade of W until May 24.  After May 24, if still enrolled, you will receive a grade of A, B, C, D, F or I.

 

Learning Disabled Students: Students with disabilities who may need accommodations for this class are encouraged to notify me and contact the Disability Resource Center (DRC) early in the quarter so that reasonable accommodations may be implemented as soon as possible.  Students may contact the DRC by visiting the Center (located in room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf students).  All information will remain confidential.

 

How to Succeed in a Math Class: I am often asked how to successfully pass a math class, and here is my advice:

 

I) Come to every class session.  Be prepared, and plan on participating.

II) Do your homework.  Remember that what I assign is what I consider a bare minimum.  If you need more practice, do it.

III) Read the book.  You paid good money for it, so you might as well use it.

IV) Make use of available tutors and my office hours.  You will find tutors who know the subject matter in this course at the Math Success Center (MSC).

V) Do math every day.  Math is just like everything else: if you don’t practice, you become rusty.

 

Technology in the Classroom:  All cell phones, laptops, headphones, MP3 players, iPods, etc, must be turned off and put away prior to the start of each class.  No electronic devices may be used during exams or quizzes.

 

Academic Dishonesty: Academic dishonesty of any form will not be tolerated.  Students caught cheating on exams or quizzes will receive a score of zero on the assignment and the dropping of lowest quiz score will be forfeit and no note card will be allowed on the final.  Students may work together on homework assignments (and, in fact, are encouraged to) as long as all students understand the material covered.

 


Course Schedule:

The following is a tentative schedule.  If things change (and I have money that says they will), I will let you know.

 

April

8          1.1                               Introductions, Sets, Statements, and Reasoning

10        1.2, 1.3                        Informal Geometry, Measurement, Early Definitions

15        1.4, Quiz I                   Angles and Their Relationships

17        1.5                               Introduction to Geometric Proof

22        1.6, Quiz II                  Relationships, Perpendicular Lines

24        1.7                               Formal Proofs

29        2.1, Quiz III                 The Parallel Postulate and Special Angles

 

May

1          2.2, 2.3                        Indirect Proof, Proving Lines Parallel

6          2.4, Review                 The Angles of a Triangle, Review for Exam I            

8          Exam I

13        2.5, Quiz IV                 Convex Polygons

15        3.1, 3.2                        Congruent Triangles

20        3.3, Quiz V                  Isosceles Triangles

22        3.5, 4.1                        Inequalities in a Triangle, Properties of Parallelograms

27        NO CLASS                 Memorial Day

29        5.1, Quiz VI                 Ratios, Rates, and Proportions

 

June

3          5.2, Review                 Similar Polygons, Review for Exam II

5          Exam II

10        5.3, 5.4                        Proving Triangles Similar, Pythagorean Theorem

12        5.5, 8.1, Quiz VII         Special Right Triangles, Areas

17        11.1, 11.2                    Sine and Cosine Ratios

19        11.3, Quiz VIII             Tangent Ratio, Review for Final

24        Final Exam                 Note: The final is from 10:00  – 11:50 AM

 


 

The following is a list of all homework assignments for this course.  The due dates for the various sections will be given in class.

 

Section

Assignment

1.1

11-13,16-28,33,34,37-39,42-44,46-48

1.2

1-15,19,20,27,28,33-44,46

1.3

1,2,9-12,14-17,26-31,38

1.4

1-8,10,11,14,15,18-23,27,28,30,31,33,34,41,42,44

1.5

1,3,5,7,9,11-16,25-29,31,32

1.6

1,2,5-8,11,13-17

1.7

2,3,8-10,12,15,18,21,26,27,29,31

2.1

1-4,5,9,11-14,20,23,24,27,28

2.2

1,2,5-7,11-16,19,22,23,25

2.3

2-4,9-12,15,17,21,23,25,35

2.4

3,8,9,10,13,14,16,17,19,28,31,37,42,47

2.5

4,7,9,11,13,15,18,19,22-25,33,37

3.1

1,2,4,6,8,9-12,18,21-24,26,27,32,35

3.2

2,3,9,14,15,18,21,23,27,34

3.3

2,3,7,8,19,20,22,25,27,34,35,37

3.5

1,2,5,6,8,13,15,17-19,21,24,26,27

4.1

3,5,7,11,14,23-26

5.1

2,5,7,8,17,19,24,25,27,35

5.2

1,2,9,10,13,17,19,21-24,29-31,34

5.3

3,4,9,10,12,21,23,24,29,31

5.4

7,9,11,13,15,17,22,26,33,39

5.5

1,3,6,8,11,14,15,17,20,24,31,35

8.1

1,4,7,8,10,11,13,17,18,20,21,24,26,31

11.1

1,3,5,8,11,18,21,24,28,31,33,35

11.2

2,4,9,10,15,17,20,23,26,29,31,39

11.3

1,3,6,9,15,17,20,22,23,38,42,44