# Montgomery county community college

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MONTGOMERY COUNTY COMMUNITY COLLEGE

Mat 100 – Intermediate Algebra – 3 credits

Fall 2007

Marion Graziano Math Office: PH143

Phone: (215) 641-6607 School Cancellation #

E-mail address: mgrazian@mc3.edu Day: 320 Evening: 2320
Office Hours: posted on the door; all others by appointment

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Course Title: Intermediate Algebra
Course Prefix and Number: MAT 100
Prerequisites: MAT 011 with a minimum grade of "C," UND MAT 116” on the math placement exam
Course Description: An intermediate algebra course which reviews and extends the material taught in MAT 011. It is appropriate for students who have taken MAT 011 or who have had an elementary algebra course in high school. It will prepare students for MAT 125, MAT 131, MAT 140 and/or MAT 161. Topics include a brief review of introductory algebra, introduction to functions, factoring, algebraic fractions, radicals, fractional exponents, the Pythagorean theorem, functional notation, graphing, quadratic equations, logarithms,. systems of linear equations, and word problems applications. A graphing calculator (TI-83, TI-83 Plus, or TI-84 Plus) is required. If one doesn’t have a TI-83 series, purchase the TI-84 Plus.

Textbook: Intermediate Algebra Graphs and Models, 3rd edition, Bittinger, Ellenbogen, Johnson, Addison-Wesley, 2008.

Required Materials: A TI-83, TI-83 Plus, TI-83 Plus Silver, or TI-84 graphing calculator

Learning Goals:
This course is designed to bring the student’s background up to proficiency sufficient to enter more advanced math courses. Upon completing this course, students should:

1. Obtain a knowledge of basic algebraic operations.

2. Understand the concepts of function, domain, range, inverse function.

3. Be able to graph linear functions and vertical lines.

4. Be able to evaluate function notation.

5. Be able to factor and apply this technique to simplifying expressions and solving equations.

6. Be able to simplify rational expressions and solve rational equations.

8. Be able to simplify radicals and interpret i-notation.

9. Be able to solve systems of linear equations.

10. Be able to graph exponential and logarithmic functions.

11. Be able to solve word problems involving distance, rate, time, variation, investment, Pythagorean’s Theorem, and regression.

12. Be able to use the TI-83 graphing calculator in relevant intermediate algebra concepts.

Lateness Policy: A lateness is treated the same way as an absence.
Assignment/Test Make-Up Policy
No make-ups on quizzes or tests. If a student misses a test, the grade he/she receives on the final will be substituted. This will only be done once. If one has been there for all four tests, the final will replace the lowest test grade.
: Assignments will be deducted one letter grade per class missed.
Class Participation: Students are encouraged to participate in class.

Withdrawal Policy

If a student wishes to withdraw from the course, the student must complete a formal withdrawal form. This form must be signed by me. Any student who fails to officially withdraw from a course will receive a grade of “F.” Withdrawals will be signed up to the sixth week of class.
Cheating and Plagiarism Policy: See College policy.
Academic Discipline: See page 28 of the College catalogue
Grade Changes and Challenges: See page 26 of the college catalogue
Methods of Evaluation

There will be four (4) major tests as indicated in the syllabus. There will be quizzes and homework assignments that will be turned in and graded. I will drop the lowest two grades. There will be a final exam scheduled at the end of the semester during finals week.

Criteria for Evaluation

Tests will be worth 100 points each, quizzes and worksheets will be worth 10 points each, and the final will be worth 100 points.

 A = 90-100 B = 80-89 C = 70-79 D = 60-69 F = below 60

Class Cancellation Policy: For instructor illness - phone chain. For inclement weather—radio: 320 (day), 2320 (evening)

Available Support Systems: Disk Supplement, Learning Assistance Lab (LAL), Library, Computer labs, etc.
Classroom Expectations

1. Arrive on time.

2. No sharpening pencils during class.

3. No cell phones or pagers turned on.

4. Seek help immediately if you don’t understand.

Students with Disabilities
Students with disabilities may be eligible for accommodations in this course. Please contact the Director of Services for Students with Disabilities in the Counseling Center, College Hall, at 215-641-6576 or 6577 for more information.
See web page for sample tests, review sheets and class notes.

MONTGOMERY COUNTY COMMUNITY COLLEGE

MAT100 Course Outline
COURSE TITLE: Intermediate Algebra

CREDIT HOURS: 3

PREREQUISITE: MAT011 with a minimum grade of “C”, or two years of high school mathematics which includes one year of algebra

TEXTBOOK: Intermediate Algebra, Graphs and Models, 3rd edition, Bittenger, Ellenbogen, Johnson, Addison Wesley Publishers, 2008.

CALCULATOR: Texas Instruments 83, 83+, 83+ Silver, 84+ or 84+Silver

 Topic Section in Text Assignment 1. Review algebra 1.1 p. 12, #11, 15, 19, 31, 33, 41, 45, 67, 71 2. Operations with Real Numbers 1.2 p. 22, #11, 22, 31, 37, 39, 41, 45, 69, 71, 79, 89, 93, 113, 115, 121, 123 3. Equivalent algebraic expressions 1.3 p. 31, #9, 13, 21, 49, 59 4. Exponential and scientific notation 1.4 p. 45, #17, 19, 23, 25, 29, 33, 35, 37, 39, 49, 54, 60, 66, 69, 77, 89, 93, 101, 103, 111, 113, 121, 131, 137 5. Graphs 1.5 p. 57, #7, 9, 19, 21, 27, 43, 45, 49, 51, 53 6. Functions and function notation 2.1 p. 113, # 17, 18, 21, 29, 35, 39, 43, 47, 49, 53, 67 7. Solving equations and formulas 1.6 p. 68, #17, 21, 35, 39, 43, 51, 53, 54, 55, 61, 71, 75, 77, 81, 85, 89, 93 8. Linear functions: slope, graphs and models 2.2 p. 127, #7, 13, 23, 29, 31, 33, 37, 47, 51, 53, 57 9. Another look at linear graphs 2.3 p. 144, #13, 15, 21, 23, 29, 31, 41, 45, 49, 59, 61, 63, 65, 67, 69, 71, 75, 77, 79 10. Point-slope formula 2.6 p. 157, #11, 13, 19, 22, 27, 31, 37, 41 11. Linear regression 2.6 P. 158, #45, 51, 57 12. Test #1 - Chapters 1 and 2 13. Systems of equations 3.1 3.2 p. 193, #9, 10, 17 p. 204, # 7, 11, 13, 19, 21, 23, 31, 39, 43 14. Investment, DRT application 3.3 p. 218, #19, 27, 28, 36, 38 Break even analysis 3.8 p. 259, #9, 11, 13, 15, 17, 27, 29 15. Inequalities 4.1 pp. 279, #15, 17, 23, 25, 47 Topic Section in Text Assignment 16. Intro. to polynomial functions 5.1 p. 352, #11,15, 29, 32, 33 17. Multiplication of polynomials 5.2 p. 365, #13, 17, 21, 23, 25, 30, 38, 45, 61, 63 18. Polynomial equations and factoring 5.3 p. 378, #9, 11, 13, 15, 29, 31, 33, 39, 41, 43, 45, 47, 49, 53, 55, 59, 63, 73, 77, 79, 83, 91 a, b 19. Factoring trinomials 5.4 5.5 5.6 p. 390, #9, 13, 23, 35, 49, 50, 63 p. 399, #9, 23, 27, 65 p. 408, #11, 17, 35, 41, 45, 53, 69 20. Equations containing sums or differences of cubes 5.7 p. 414, #11, 15, 17, 19, 27, 31, 39, 47 21. Applications of polynomial equations 5.8 p. 424, #5, 17, 25, 29 22. Test #2 - Chapters 3, 4, 5 23. Rational expressions and functions; multiplying and dividing 6.1 p.450, #21, 23, 27, 29, 31, 33, 35, 37, 47, 49, 55, 63, 67, 71 24. Rational expressions and functions: Adding and subtracting 6.2 p. 461, #9, 13, 19, 25, 27, 31, 34, 39, 49, 51, 57, 58, 59, 61 25. Rational equations 6.4 p. 478, #11, 13, 21, 31, 33, 35, 37, 43 26. Applications 6.5 p. 488, #1, 3, 23, 25, 31, 35 27. Formulas, applications and variations 6.8 p. 513, #11, 13, 15, 17, 21, 27, 29, 31, 37, 38, 59, 62, 63 28. Radical expressions, functions and models 7.1 p. 542, #13, 17, 27, 29, 41, 51, 67, 71, 77, 81, 87, 93, 105, 111, 112 29. Rational exponents 7.2 p. 551, #9, 11, 13, 19, 21, 23, 29, 31, 35, 37, 43, 49, 53, 61, 63, 71, 75, 77, 79, 81, 83, 91, 93, 95, 97, 99, 101 30. Simplifying radicals 7.3 7.4 7.5 p. 560, #7, 11, 27, 29, 47, 57 p. 566, #9, 11, 27 p. 573, #7, 13, 19, 21, 79 31. Solving radical equations and applications 7.6 7.7 p. 582, #7, 15, 21, 23, 25, 30, 31, 37, 39 p. 590, #7, 9, 17, 20, 21, 24, 26, 45 32. Complex numbers 7.8 p. 600, #9, 11, 13, 15, 17, 27, 29 33. Test #3 - Chapters 6 and 7

 Topic Section in Text Assignment 34. Quadratic equations 8.1 8.2 p. 620, #7, 9, 11 p. 627, #7, 9, 11, 13, 15, 19, 23, 27 35. Graphing quadratic functions 8.6 8.7 p. 656, #9, 11, 13 p. 666, #15, 21, 23, 25, 29, 47, 53 36. Problem solving and quadratic functions 8.8 p. 677, #7, 8, 10, 23, 26, 27, 43 37. Inverse function 9.1 p. 712, #49, 51, 53, 59, 61, 63, 65, 73 38. Exponential functions 9.2 p. 723, #11, 13, 37, 51, 55, 56, 58 39. Logarithmic functions 9.3 p. 734, #9, 11, 15, 19, 21, 23, 25, 29, 31, 33, 39, 45, 47, 49, 53, 55, 81, 85, 87, 89, 93, 95, 97, 99, 101, 103, 105 40. Natural logs 9.5 p. 750, #9-16 odd; 27-30 odd, 33-37 odd, 39-45 odd, 51 41. Solving exponential and logarithmic equation 9.6 p. 758, #9, 11, 13, 17, 19, 25, 41, 45 42. Application of exponential and logarithmic functions 9.7 p. 772, #11, 13, 21 p. 776, #47 a & b, 49, 69 a & b 43. Test #4 – Chapters 8 and 9 44. Review 45. FINAL EXAM by department (Date and time will be announced)

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