FALL 2009 Math 1 Homework Problems will be posted here for each week.
Students are advised to solve the problems in a timely fashion after each
lecture so they can understand the topics covered in each class. At the
end of each week, the entire homework set for the week should be completed
promptly in preparation for the midterm tests.

    Office Hours of the TA in the MATH LAB (BRH-118) for this class:
            
George Herrmann : T Th 10:30 a.m. to 11:30 a.m.

      

WEEK #

HOMEWORK ASSIGNMENT

1.8/31/09 to 9/4/09

Read Chapter 1. Go over pages 12 - 16, 20- 22
Read about Activities 5,6, and 8 on page 45, 46.
Section 1.1:  Exercises 31 to 47.
Section 1.2: 16, 21-32.
Section 1.3: 1, 31, 54, 55.

2. 9/7/09 to 9/11/09

Read Chapter 2.

EXTRA CREDIT #1 due on Tuesday, 9/15/09

Section 2.1:  Exercises 1-8, 13, 15, 17, 19 and

 odd numbered exercises from 33 to 84, 87-91.
Go over all the worked examples in the text.
Section 2.2: Odd numbered exercises from 1 to 53, 54,
                     67, 69, 70
Section 2.3: 1 to 6, Odd numbered exercises from
                     7 to 79, 83, 87, 95, 109, 111, 115, 117,
                     119, 125.

 

3. 914/09 to 9/18/09

2.4: 1, 3, 5, 7, 9-16, 19, 23, 25, 28. TRY 34.

2.5: 1-10, Odd numbered exercises from 11 to 40.

Chapter 2 test.

CHAPTER 5 : NUMBER THEORY.
Read 221 to 230. The concepts of Divisibility, Factorization, Prime and Composite numbers.

 

 

4. 9/21/09 to 9/25/09

Extra Credit 2 due 9/22/09.

Read 221 to 230. The concepts of Divisibility, Factorization, Prime and Composite numbers, Divisibility tests, The Fundamental Theorem of Arithmetic, Theorem on the Infinitude of Primes,  and the Search for Large Primes are the topics in 5.1.  HW 5.1:  1-24, Odd numbered exercises from 27 to 79, 80 and 81.

5.2: Study about Perfect numbers, Deficient and Abundant numbers, Amicable and Sociable numbers, Weird and Dull numbers(?!), The man who knew infinity, Conjecture (see p.2, p.7), Goldbach's conjecture, Twin Primes conjecture, Fermat's Last Theorem and Andrew Wiles.
HW 5.2: 1-10, Odd numbered exercises from 11-43, 54, 56, 58-60.

 

MIDTERM TEST 1 on Thursday, 10/1/09.

 

5. 9/28/09 to 10/2/09

Review for Test 1.

MIDTERM TEST 1 on Thursday, 10/1/09.

 

 

6. 10/5/09 to 10/9/09

Return of TEST 1.

 5.3: GCF and LCM, relatively prime numbers,

Methods of finding GCF and LCM.

HW 5.3: 1-10, 13, 15, 17, 21, 23, 25, 27, 33, 35, 37, 41, 43, 45. 47, 50, 51, 55, 65, 67, 69.

5.4 treats the well known Fibonacci Sequence and
the Golden Ratio.
HW for 5.4: 1-6, 15, 17, 20, 31.
Modern Cryptography (pp. 249-256)  and Magic Squares (pp.265-270)
Extension exercises (p.267): 17-27.
  Chapter 5 test: 1-16, 18, 19, 20, 2

 

7. 10/12/09 to 10/16/09

Chapter 6:  The Real Number System

6.1 deals with Real Numbers, Order and Absolute Value.
HW 6.1: Odd numbered exercises 1 to 75.
6.2 treats addition, subtraction, multiplication and division,  exponentiation
and their properties.
HW 6.2: 1,2,3,4, Odd numbered exercises from 7 to 59,
69 to 76, 81, 83, 87, 89, 91, 95.

 

NO LECTURE on Furlough day : 10/13/09.

 

In 6.3 we study the rational numbers further. 
HW for 6.3:  Odd numbered exercises from 1 to 49 (except 15), and odd numbered exercises from 75 to 93.
6.4 deals with Irrational numbers,
HW for 6.4:  Odd numbered exercises from 1 to 43.


A brief survey of 6.5  on your own shows applications of decimals and percents.
HW for 6.5: 1 to 10, 25, 27, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 53, 55, 57, 61-70, 73, 79, 83, 85, 87, 91, 92.

 

8. 10/19/09 to 10/23/09

Begin Chapter 11. Counting Methods.

11.1 discusses listing methods

which might be hard as the list gets larger.

HW for 11.1: 1-6, 9-33.

11.2 starts with the Fundamental Counting Principle and introduces

n! ("n factorial"). Note that 0! = 1.

HW for 11.2: 3, 4, 5-14, 15, 17, 19, 23, 25,

                      Odd numbered problems from 31-57.

11.3 deals with Permutations , nPr , Combinations, nCr and

the guidelines (p.699) to use them.

HW for 11.3: Odd numbered problems from 1-31, 35, 37, 41, 43,

53, 55.

11.4 expands on the Pascal's Triangle with applications to

the Binomial Theorem. HW for 11.4: Odd numbered problems from 1-27.

 

Applications to Set Theory involving the Complement Principle, The

General Additive Principle, The Special Additive Principle are

important.  HW for 11.5: Odd numbered problems from 1-39.

 

 

 

9. 10/26/09 to 10/30/09

Review for TEST 2. TEST 2 on THU - 10/29/09

 

10. 11/2/09 to 11/6/09

Return of Test 2. Start CHAPTER 12 -- PROBABILITY.

12.1 deals with basic probability definition.
HW 12.1:  Odd numbered exercises from 11-39, 32, 34, 36,
38, 43, 59, 63, 65. Go over ALL worked examples.

12.2 discusses properties of probability.
HW for 12.2: Odd numbered problems from 1 to 19,
26, 27, 28, 29, 30, 31.

Recall from 12.2: Example 6 introduces Random Variable and

Probability Distribution (p.689). TRY 32, 33.

12.3: Conditional Probability - P(B | A) , independence of events ,

multiplication rule , and the Birthday Problem (p. 751) .
TRY 12.3: 1, 2, 5, 6, 7, 9, 11, 23 - 32, 51, 53 - 57, 58 - 61, 67 - 73.

 

11. 11/9/09 to 11/13/09

12.3: Conditional Probability - P(B | A) , independence of events ,

multiplication rule , and the Birthday Problem (p. 751) .
TRY 12.3: 1, 2, 5, 6, 7, 9, 11, 23 - 32, 51, 53 - 57, 58 - 61, 67 - 73.

12.4: Bernoulli Trials, The Binomial random variable, its probability distribution,

The Binomial Probability Formula (p. 758) are given in 12.4
HW for 12.4:  1, 3, 5, 7, 21, 23, 25, 27, 33, 35, 41, 43.

12.5 Expected Value. TRY 3, 5, 7, 11, 24, 25, 26

TRY Chapter 12 TEST:  3, 5, 6-8, 9, 11, 13, 15, 17, 19, 21, 27, 29.

 

12. 11/16/09 to 11/20/09

Begin Chapter 14. Section 14.1 deals with the Time Value of Money.

Simple and Compound Interest, Future Value, Effective Annual Yield, Continuous Compounding, Inflation.

Review for TEST III.

TEST III on THURSDAY, 11/19/09.

 

13. 11/23/09 to 11/27/09

 THANKSGIVING WEEK

14. 11/30/09 to 12/3/09

 Return of TEST III.

Section 14.1 deals with the Time Value of Money.

Simple and Compound Interest, Future Value, Effective Annual Yield, Continuous Compounding, Inflation.

TRY 14.1: 3, 5, 7, 9, 11, 15, 19, 23, 25, 29, 31, 33, 35, 37, 41, 43, 49, 55, 57.

 

 

15. 12/7/09 to 12/11/09

Geometric Sequence (p.868), Annuities (p. 870)

TRY from Page 873:  1, 3, 5.

Exponential and ln x functions (pages 486-487, 489-490).

 

REVIEW FOR COMPREHENSIVE FINAL EXAM
ON TUESDAY, 12/15/09 (from 12:45 p.m.  to 2:45 p.m.)