- The
**Final Exam**will be comprehensive, however the second half of the course will be emphasized. There will be 2-3 problems from the first half of the course, from sections 2.1-2.3, 3.4, 6.2-6.4 and 8.1-8.6. Please review all the examples we did on class and also Sample Solutions from Textbook I. There will be 4-5 problems from the second part of the material, counting and probability. Here are a large collection of Practice Problems from textbook 2. Here are some Sample Solutions!

- I will go over some of them, but please work on them in
the meantime and ask about the solution of any specific problem
during the review.

- The solutions for homework assignments 5 and 6 are uploaded,
you can find them next to the problem sets.

As mentioned you will be asked to prepare short 5-8 minute power point presentations on 8-16 slides, which will be presented during the last two weeks of the classes. They should discuss a mathematical concept, or an argument, or some topic with a mathematical concept. You can form groups 2-3 to work on a presentation or it also can be done individually. I strongly suggest to try out the presentation among yourself first to measure if you can do it within the given time frame.**Projects:**

- They will be evaluated according to the clarity of presentation, visual attractiveness, and the content. The aim is to provide a short, fun, but clear introduction to a topic related to mathematics.

- A list of Possible
Projects is given here. The material for these projects
can be found in the Supplementary
Textbook.

- You are welcome to choose another topic and use other resources; in that case please provide me a short description before you prepare the presentation.
- Here are a few samples of past presentations: Irrational
numbers, The
Golden Ratio,
Probability,
The
Mathematics of Escher's Art, Golden
Ratio 2, The History of
Math

- The Marking Scheme for the
Midterm is uploaded here! I would like to review the marks for
the Midterm (the initial marking seems to "harsh") according to
this scheme so please
__bring back your midterms__next class. I will hand them back to you in a few days. In addition I's like to review past Homework assignments as well.

- A Practice Midterm is uploaded here. It is similar to the Midterm on Oct. 23rd. The solutions will be discussed Monday Oct 21st.
- Here are Sample Solutions
from the Textbook. Also brief sketch of solutions of the Homework assignments by the TA
are uploaded here.

**Textbooks:**

**1.***Mathematics for Elementary Teachers 4th edition*by Sybilla Beckmann**2.***Finite Mathematics*by Costenoble & Waner

- Instructor: Akos Magyar, Phone:822-3045, Email: magyar@math.ubc.ca
- Office
hours: Math 229E, M-W-F 12-1pm

- Lectures: Mathematics 203, M-W-F 10-11am
**TA:**Shen-Ning Tun,**Email:**e41406@gmail.com,**Office hours:**M: 14:00~15:00, F: 15:30~17:30 at LSK 301

COURSE DESCRIPTION

In the first part of the course we will review very elementary mathematics using Textbook 1. Then we will learn about basic concepts and methods of finite mathematics, such as counting principles and calculating probabilities using Textbook 2. The last two weeks will be devoted to short power point presentations called projects. These can be done alone or in groups of 2-3, the aim is to introduce/explain a mathematical concept or argument. I will provide a list of possible topics, supplementary texts and examples later.

COURSE OBJECTIVES

- To develop a deep understanding of mathematical concepts
taught in elementary and middle schools.

- To learn about basic concepts of finite mathematics, such as
counting and probability. To apply them to analyze situations
and solve problems.

GRADING

Homework: Homework
will be assigned each Friday and will be due one week later at the
beginning of the class.
To receive full credit you have to write your solution effectively, which in
mathematics means, directly, simply and logically. You are
encouraged to discuss the problems with other students however the
work you submit must be your own. Late homework will not be
accepted unless there is a serious reason.

Midterms: There
will be one in-class Midterm scheduled
on Wednesday, October 23rd.

Final: At the
end of the semester there will be a comprehensive Final Exam.

Course Grades: The course grade will
be based on four components

Homework
20%

Project
10%

Midterm
20%

Final
50%

Homework Assignments

**Problem
Assignments **listed below are **due
each
week **** at the beginning **of the Friday class. Some
(but may not all) of the problems handed-in will be marked and
handed back. You have to show
all the work in order to get full credit. No late
Homeworks are accepted unless for serious documented reason.

**Textbook 1.**
The Base-10 system: addition/subtraction/multiplication
algorithms.

*Reading*

*Homework Assignment 1
Due: Sept. 20th*

**Week** 2: Basic
Arithmetic: division and fractions

*Reading*

*Homework
Assignment 2 *
Due: Sept. 27th

**Week
3: **Long division, number theory

*Reading*

*Homework
Assignment 3 *
Due: Oct. 4th

**Week
4:** Number theory

*Reading***
8.3-8.6 **

*Homework
Assignment 4 *
Due: Oct. 11th

**Textbook 2**.
Sets and Counting

*Reading*

*Homework Problems:* **NO** Homework Assignment this
week.

**Week 7: ****Review, Midterm: Wed., Oct. 23rd**

**Week 8:
**Counting: Permutations
and Combinations

*Reading***-**6.4,

Homework Assignment 5 **Due:
**Nov. 8th

Week 9-10:

Homework Assignment 6 Due: Nov. 25th

HW 6 - Solutions