SINCLAIR COMMUNITY COLLEGE DAYTON, OHIO DEPARTMENT SYLLABUS FOR COURSE IN MAT ALGEBRA II (3 CREDIT HOURS)

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1 SINCLAIR COMMUNITY COLLEGE DAYTON OHIO DEPARTMENT SYLLABUS FOR COURSE IN MAT - ALGEBRA II (3 CREDIT HOURS) 1. COURSE DESCRIPTION: Ftorig; opertios with polyoils d rtiol expressios; solvig seod degree equtios y ftorig; solvig equtios with rtiol expressios. Trditiol testig (protored or i Testig Ceter) is used i ll olie setios. Note: Courses tht egi with zero re developetl i ture. Credit ered i developetl ourses will ot pply to the overll progr hours.. COURSE OBJECTIVES: This ourse is desiged to uild upo the oepts of MAT 1 d to itrodue further topis tht the studet will eed to otiue the study of thetis. 3. PREREQUISITE: Grde of C or etter i MAT 1 or suffiiet sore o Silir Couity College Mthetis Pleet Test. 4. ASSESSMENT: I dditio to required exs s speified i the syllus istrutors re eourged to ilude other opoets i oputig fil ourse grdes suh s hoework quizzes d/or speil projets. However 8% of the studet s ourse grde ust e sed o i-lss protored exs. 5. TEXT: Itrodutory d Iteredite Alger Fifth Editio y Roert Blitzer Perso/Pretie Hll; 17 MyMthL is required opoet of this ourse. 6. CALCULATOR: The required lultor for MAT is the TI-3XIIS. Ay lultor y e used o hoework quizzes d durig lss ut the TI-3XIIS ust e used o tests. (The th deprtet supply this lultor for tests.) 7. PREPARED BY: Alger II Group Rihrd Uhid Chir Wedy Cheg Bri Cfrell Effetive: Fll Seester 17 1

2 SINCLAIR COMMUNITY COLLEGE DAYTON OHIO CLASS SCHEDULE FOR COURSE IN MAT - ALGEBRA II (3 CREDIT HOURS) CLASSES MEETING TWO TIMES A WEEK Leture Setios Topis 1 Itrodutio Itrodutio/ Addig d Sutrtig Polyoils Multiplyig Polyoils/ Speil Produts Polyoils i Severl Vriles/ Dividig Polyoils Log Divisio of Polyoils*/ Negtive Expoets** Negtive Expoets** Review 5 Ex 1 over The Gretest Coo Ftor d Ftorig y Groupig Ftorig Trioils whose Ledig Coeffiiet is 1/Ftorig Trioils whose Ledig Coeffiiet is ot Ftorig Speil Fors/ A Geerl Ftorig Strtegy Solvig Qudrti Equtios By Ftorig/ Review 9 Ex over Rtiol Expressios d Their Siplifitio Multiplyig d Dividig Rtiol Expressios Addig d Sutrtig Rtiol Expressios with the Se Deoitor Addig d Sutrtig Rtiol Expressios with Differet Deoitors Coplex Rtiol Expressios/Solvig Rtiol Equtios Applitios Usig Rtiol Expressios d Proportios Modelig Usig Vritio/ Review 14 Cth-up Dy 15 Review for the Fil Ex 16 Coprehesive Fil Ex*** *The Istrutor y hoose to over Sytheti Divisio if tie perits ut this is ot required topi. **The Istrutor y hoose to over Sietifi Nottio if tie perits ut this is ot required topi. *** I fe to fe setios d olie setios: MAT will hve 1 ultiple hoie questios o the deprtetl portio of the fil ex. The istrutor portio of the fil ex (whih will osist of teril fro setios ) will osist of out questios. The istrutor portio will out s /3 of the fil ex sore (% of the ourse grde) while the deprtetl portio will out s 1/3 of the fil ex sore (1% of the ourse grde.) The fil exs i Adey setios will ilude the 1 ultiple hoie questios fro the deprtet ut will lso ilude dditiol oprehesive questios.

3 SINCLAIR COMMUNITY COLLEGE DAYTON OHIO CLASS SCHEULDE FOR COURSE IN MAT - ALGEBRA II (3 CREDIT HOURS) CLASSES MEETING THREE TIMES A WEEK Leture Setios Topis 1 Itrodutio Itrodutio/ Addig d Sutrtig Polyoils Multiplyig Polyoils Multiplyig Polyoils/ Speil Produts/ Polyoils i Severl Vriles Dividig Polyoils Log Divisio of Polyoils* Negtive Expoets** 6 Review for Ex 1 7 Ex 1 over The Gretest Coo Ftor d Ftorig y Groupig 9 6. Ftorig Trioils whose Ledig Coeffiiet is Ftorig Trioils whose Ledig Coeffiiet is ot Ftorig Speil Fors/ A Geerl Ftorig Strtegy Solvig Qudrti Equtios By Ftorig 13 Review for Ex 14 Ex over Rtiol Expressios d Their Siplifitio Multiplyig d Dividig Rtiol Expressios Addig d Sutrtig Rtiol Expressios with the Se Deoitor Addig d Sutrtig Rtiol Expressios with Differet Deoitors Addig d Sutrtig Rtiol Expressios with Differet Deoitors Coplex Rtiol Expressios Solvig Rtiol Equtios Applitios Usig Rtiol Expressios d Proportios 7.8 Modelig Usig Vritio 1 Cth-up Dy Cth-up Dy 3 Review for the Fil Ex 4 Coprehesive Fil Ex*** 3

4 *The Istrutor y hoose to over Sytheti Divisio if tie perits ut this is ot required topi. **The Istrutor y hoose to over Sietifi Nottio if tie perits ut this is ot required topi. ***The fil ex will e i two prts. The deprtetl portio will e 1 questio 5 iute ultiple hoie test. It will e set to the istrutor i the il. Aother prt is to e prepred y the istrutor. The istrutor portio of the fil ex should osist of 1- free respose questios d should e 4 iutes i legth. The istrutor should out the deprtetl portio s 4% of the fil ex sore d the istrutor portio s 6%. The totl fil ex sore should out for 3% of the fil ourse grde. The other two exs should out for 5% eh d the hoework d quizzes should out for % totl. The istrutor will e sked to report the sores o the deprtetl prt d the fil ourse grdes k to the deprtet. 4

5 TO THE INSTRUCTOR To esure osistey t soe iiu level regrdig whih foruls studets re required to ler i eh of its ourses the Mthetis Deprtet hs developed the tthed list for this ourse. Course foruls re those tht studets re required to ler (d required to deostrte tht they hve lered) s the foruls re preseted i the ourse. Requirig studets to ler ore th those listed is the istrutor s optio. Plese ote tht oly foruls re listed. Studets re lso expeted to ler defiitios theores d proedures tht will llow the to eet ourse ojetives. If you hve questios regrdig this tter plese ott your ourse oorditor. Plese refer to the thetis deprtet hdook for geerl poliies. 5

6 6 Mth Foruls Prerequisite Foruls Foruls of speil iporte tht studets re expeted to kow upo eterig this ourse: - Geoetri Foruls Are Perieter Squre A s P s 4 Retgle A lw P l w Trigle A h 1 ( ) P - Su of the Agles i Trigle A B C 18 - Pythgore Theore Course Foruls Foruls tht studets re required to eorize i this ourse: Chpter 5 - Properties of Expoets Power Rules Zero Expoet 1 Negtive Expoet 1 Produt Rule Quotiet Rule - Dividig Polyoil y Mooil ( ) ) (

7 Mth Foruls - otiued Chpter 6 - Differee of Squres x y = (x + y)(x y) - Sus d Differees of Cues x 3 + y 3 = (x + y)(x xy + y ) x 3 y 3 = (x y)(x + xy + y ) Chpter 7 - Multiplyig d Dividig Rtiol Expressios P R PR (Q S ) Q S QS P R P S PS (Q R S ) Q S Q R QR - Addig d Sutrtig Rtiol Expressios P R P R (Q ) Q Q Q P R P R (Q ) Q Q Q - Diste Rte Tie Diste Rte = Tie Diste Tie = Rte Diste = Tie Rte - Rte of Work If jo e opleted i t uits of tie the the rte of work is t 1 jo per uit of tie. - Vritio Foruls y vries diretly with x: y kx y vries idiretly with x: k y x z vries joitly with x d y: z kxy 7