SPRING 2014 Math 1 Practice 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 Practice Probmlems set for the week should be completed
promptly in preparation for the midterm tests.

Office Hours of Sean Taghavi (TA for Math 1)
in the MATH LAB (BRH-118) for this class:
             M W 12 to 1

WEEK #	PRACTICE PROBLEMS
1.1//27/14 to 1/31/14	Read Chapter 1. Go over pages 11 - 16, 18- 22, 28, 36. Section 1.1:  Exercises 43 to 50. Section 1.2: 33 to 40, 65 to 76. Section 1.3: 17, 64, 65. Read Chapter 2.
2. 2/3/14 to 2/7/14	Section 2.1:  Exercises 1-8, 9, 11, 13, 15, 17, 19 and odd numbered exercises from 33 to 65, 67 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. 2/10/14 to 2/14/14	Go over Section 2.3 and 2.4. 2.4: 1, 3, 5, 7, 9-16, 19, 21, 23, 25, 28, 31. TRY 34. MyMathLab HW#1 due by 12:00 a.m. on 2/17/14.
4. 2/17/14 to 2/21/14	Extension Exercises: 1-10, Odd numbered exercises from 11 to 40. Chapter 2 test. CHAPTER 5 : NUMBER THEORY. Read 179 to 197. The concepts of Divisibility, Factorization, Prime and Composite numbers, Eratosthenes' Sieve, 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 and 5.2.  5.1:  1-24, Odd numbered exercises from 25 to 51. 5.2: 1-10, Odd numbered exercises from 11-27, 54, 56, 58-60.
5. 2/24/14 to 2/28/14	Review for Midterm Test 1 on Thu 2/27/14.
6. 3/3/14 to 3/7/14	Return of TEST 1. Continue with 5.3. 5.3: 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), Goldbach's conjecture, Twin Primes conjecture, Fermat's Last Theorem and Andrew Wiles. 5.3: 1-10, Odd numbered exercises from 11-35, 39-41, odd numbered exercises from 51 to 61. New MyMathLab HW Assignment
7. 3/10/14 to 3/14/14	5.4: GCF and LCM, relatively prime numbers. Methods of finding GCF and LCM. 5.4: 1-10, 13, 15, 17, 21, 23, 25, 27, 33, 35, 37, 41, 43, 45. 47, 49, 50, 65, 67, 69. 5.5 treats the well known Fibonacci Sequence and the Golden Ratio and their applications. HW for 5.4: 1-6, 15, 17, 20, 31. Modern Cryptography (pp. 205-211)   Chapter 5 test: 1-16, 18, 19
8. 3/17/14 to 3/21/14	Chapter 6:  The Real Number System 6.1 deals with Real Numbers, Order and Absolute Value. HW 6.1: Odd numbered exercises 1 to 74. 6.2 treats Order of Operations, addition, subtraction, multiplication and division 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. In 6.3 we study the rational numbers further.  HW for 6.3:  Odd numbered exercises from 1 to 12, from 19 to 36, from 39 to 48, and odd numbered exercises from 67 to 101.. 6.4 deals with Irrational numbers. HW for 6.4:  Odd numbered exercises from 1 to 43, 71 to 90. 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, 63 to 72, 73, 79, 83, 85, 87, 91, 92.
9. 3/24/14 to 3/28/14	SPRING RECESS
10. 3/31/14 to 4/4/14	Review for TEST II. TEST II on Thursday, 4/3/14.
11. 4/7/14 to 4/11/14	Return of Test 2. Start Chapter 10 on Counting Methods. Counting Methods. 10.1 discusses listing methods which might be hard as the list gets larger. HW for 10.1: 1-6, 9-29. 10.2 starts with the Fundamental Counting Principle and introduces n! ("n factorial"). Note that 0! = 1. HW for 10.2: 3, 4, 5-14, 15, 17, 19, 23, 25, Odd numbered problems from 31-57. New MyMathLab HW Assignment 10.3 deals with Permutations , nPr , Combinations, nCr and the guidelines (p.549) to use them. The Problem-solving Hint (p.550) will be useful. HW for 10.3: Odd numbered problems from 1-31, 32, 35, 37, 40, 41, 43, 49, 59
12. 4/14/14 to 4/18/14	10.4 expands on the Pascal's Triangle with applications to the Binomial Theorem (p.557 - 559). HW for 10.4: Odd numbered problems from 1-27. Magic Squares are discussed on p.563 and p.564. Learn about Melancholia by Durer and Subirachs Magic Square on the Passion Facade of La Familia Sagrada. HW from p.564 to p.566: Odd numbered problems from 1 to 29, 33, 35, 36. Applications to Set Theory involving the Complement Principle, The Additive Principle, are important.  HW for 10.5: Odd numbered problems from 1-39. CHAPTER 10 TEST: 1, 2, 3, 4, 7, 9, 11, 13, 15, 17, 23, 25, 27..
13. 4/21/14 to 4/25/14	Start CHAPTER 11 -- PROBABILITY. 11.1 deals with basic probability definition. MyMathLab Assignment due TUE 4/21/14 by 11:59 p.m. STUDY using the Chapter Handout. HW 11.1:  Odd numbered exercises from 7, 11-39, 32, 34, 36, 38, 43, 59, 63, 65, 67. Go over ALL worked examples. 11.2 discusses properties of probability and develops the rules. Complement Rule, Addition Rule, Special Addition Rule for mutually exclusive events. HW for 11.2: Odd numbered problems from 1 to 19, 26, 27, 28, 29, 30, 31.
14. 4/28/14 to 5/2/14	Chapter 11 continued. Review for Test III. TEST III on THURSDAY, 5/1/2014.
15. 5/5/14 to 5/9/14	Return of TEST III. Chapter 11 continued. Conditional Probability: P(B | A), Independence, Multiplication Rule and the Birthday Problem. HW for 11.3: 1, 2, 5, 6, 7, 9, 11, 23 to 32, 51, 53 to 57, 58 to 61, 67 to 70. 11.4. Binomial Probability Distribution (p.607 - 610). HW for 11.4: 1, 3, 5, 7, 21, 23, 25, 27, 33, 35, 41, 43.
16. 5/12/14 to 5/16/14	11.5: Expected Value (p.612 to p.617). Expected Value or the mathematical expectation of a random variable with applications. Expectation of the Binomial Distribution. HW for 11.5: 3, 5, 7, 11, 24, 25, 26. Ch. 11 Test: 3, 5, 6-9, 11, 13, 15, 17, 18, 19, 21, 27, 29. FINAL EXAM FOR Sections 13, 14: Tuesday 5/20/2014 from 12:45 p.m. to 2:45 p.m. FINAL EXAM FOR Section 15: Thursday 5/22/14 from 12:45 p.m. to 2:45 p.m.