Math 1100 -- Mathematical Reasoning


Instructor: Todd Frauenholtz

TA: None
Office: 372 HS
Office: NA
Phone: 755-2817 Phone: NA
Office Hours: T & R 10 - 11 am and other arrangement Office Hours: NA

Class meets: T, R in HS 233 from 11:00 am - 12:15 pm

Required Text: Mathematical Excursions (4th edition) by Aufmann, Lockwood, Nation, & Clegg

Webassign Class Code: bemidjistate 0158 0580

Prerequisite:    Two years of high school algebra and an appropriate score on the Mathematics Placement Test or Math 0800 with a grade of C or higher.  Liberal Education Area II.

Description:    Algebra and Mathematical Reasoning is designed to help students develop their algebra skills and also connect these skills to practical applications of mathematics they are likely to encounter in their personal and professional lives.  The topics that will be covered are:

Throughout the course we will emphasize the interrelationships among algebraic, graphic, and numerical representations. A graphing calculator is required and will be used regularly as a problem solving tool.

Goals and objectives of the course:

Students will:

Class participation and quizzes:    Quizzes will be given frequently and generally unannounced.  Make-ups will not be allowed for missed quizzes; however, your two lowest quiz scores will be dropped from calculating your grade.  Cell phones must be turned off during class.

Homework:    Assignments will prepare you for the quizzes and exams.  You are responsible for understanding how to do each problem; I recommend study groups of three to four.  There will be some problem days where the assignment will be completed during class.

Exams:   There will be five 100 point exams during the course and a 200 point comprehensive final. Make-up exams will be given only under special circumstances and need to be discussed with me before hand. The final exam will be Friday, May3rd from 3:30 – 5:30 pm.

Grades:    Grades for this course will be based upon homework, quizzes, tests, and a comprehensive final exam; some of the quizzes may be unannounced.  Items for both will come from the assigned homework.  The following grading scale will be used to determine grades:

A 90 – 100 %
B 80 – 89 %
C 70 – 79 %
D 60 – 69 %
F Below 60%

Make-ups are not allowed for missed quizzes; instead I will allow you to drop your two lowest scores from the terms.  All tests will count toward your final grade.  The instructor reserves the right to adjust the grading scale if necessary.

Working through the assigned problems is essential to learning algebra.  Showing your work is the only way to receive partial credit and hence is very important.

Current Grade Sheet

Academic integrity:    Students are expected to practice the highest standards of ethics, honesty, and integrity in all of their academic work.  Any form of academic dishonesty (e.g., plagiarism, cheating, misrepresentation) may result in disciplinary action.  Possible disciplinary actions may include failure for part or all of a course, as well as suspension from the University.

 Upon request, this document and others distributed in this course can be made available in alternate formats.  Please contact the instructor, Todd Frauenholtz, at 755-2817 or staff in the Accessibilities Office at 755-3883 for assistance.


Daily Course Outline

Day 1

Introductions and collecting data. Class data sheet here.

Webassign Section 13.1

Day 2

Measures of center

Webassign section 13.2

Day 3

Measures of spread or dispersion
Webassign section 13.3

Day 4

M&M Project using decriptive and inferential statistics

Section 13.4

Day 5

Normal distribution - z-scores, linear regression, least squares regression line, ...

Day 6

Wrap-up Chapter 13

Day 7 Ch 13 Review 

Day 8

Test Chapter 13

Day 9

Introduce Chapter 11 - Interest = the cost of money

Section 11.1

Day 10

Wrap-up section 11.1 - linear equations.

http://nlvm.usu.edu/en/nav/category_g_4_t_2.html

Day 11

Section 5.2 - Rate, ratio, and proportion.

Section 5.2 Assigned problems: 2, 5, 8 – 15, 17, 18, 19, 29, 30, 31, 32, 35, 37, 39, 43, 44, 47, 50, 53, 54, 55, 61, 67.

Day 12

 

Day 13

Section 5.3 Assigned problems: 2, 7 – 18, 20, 23, 25, 27, 31, 33, 35.

Day 14

 

Day 15

Section 5.4 Assigned problems: 2, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 40, 41, 43, 44, 47.

Day 16

 

Day 17

Section 6.1 Assigned problems: 1, 3, 5, 7, 13, 15, 17, 19, 23, 25, 26, 27, 32, 33, 39, 40, 41, 43, 47, 49, 53, 57.

Day 18

Section 6.2 Assigned problems: 1, 3, 7, 11, 15, 17, 18, 19, 21, 33, 35, 38, 40, 43, 45, 47, 49, 53, 55, 57, 61, 63, 65, 67.

Day 19

Section 6.3 Assigned problems: 1, 3, 7, 9, 13, 17, 20, 21, 25, 29, 36.

Day 20

Section 6.4 Assigned problems: 1, 3, 5, 11, 13, 15, 19, 23, 25, 27, 29, 31, 33, 35, 37, 38, 41, 44, 47, 51.

Day 21

 

Day 22

Review

Day 23

REVIEW

Day 24

TEST 1 - October 5th - Chapters: 1, 5, and 6.

Day 25

FUNdamental Counting Principle

Section 11.1 Assigned problems: 1, 2, 3, 5, 7, 9, 12, 15, 16, 18, 19, 21, 22, 27, 29.

Day 26

Combinations and Permutations (nCr or C(n,r))

Section 11.2 Assigned problems: 3, 4, 8, 11, 37, 38, 39, 40, 41, 42, 43, 45, 46, 53, 54, 58, 61, 67, 71.

Day 27

Probability and Odds

Section 11.3 Assigned problems: 1, 7, 16 – 19, 21, 23 – 25, 27, 29, 31, 33, 35, 51, 52, 53, 54, 59, 85.

Day 28

Addition and Complement Rules

Section 11.4 Assigned problems: 2, 3, 4, 5, 7, 11, 12, 13, 14, 15, 17, 21, 22, 23, 31, 34, 47, 48, 56.

Day 29

Review 11.4

Day 30

Conditional Probability

Section 11.5 Assigned problems: 2, 3, 5, 7, 9, 11, 12, 14, 15, 17, 23, 24, 25, 26, 46, 59, 61, 65.

  Review 11.5
Day 31

Expected Value

Section 11.6 Assigned problems: 1, 3, 5, 6, 7, 8, 9, 19.

Day 32 Review conditional probability and expected value
Day 33 Review expected value
Day 34

Measures of center

Section 12.1 Assigned problems: 3, 5, 8, 9, 13, 14, 17, 19, 21, 22, 25, 26, 33.

Day 35

Mesaures of dispersion: Range, Mean Absolute Deviation (MAD), and standard deviation

Section 12.2 Assigned problems: 1, 3, 8, 9, 13, 15, 17, 21.

Day 36

Normal distribution and standardized scores

Section 12.3 Assigned problems: 1, 2, 5, 9, 12, 13, 17. & Section 12.4 Assigned problems: 3, 5, 7, 8, 37, 38.

Day 37

Linear regression

Section 12.5 Assigned problems: 1, 2, 5, 7, 11, 12, 15, 17.

Day 38

Review for Test 2

Day 39 Review for Test 2
Day 40 Review for Test 2
Day 41 TEST 2 - Tuesday, November 14th
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May 3

Final Exam from 3:30 to 5:30 pm.


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updated 1/22/2019
by Todd Frauenholtz