SINCLAIR COMMUNITY COLLEGE DAYTON, OHIO DEPARTMENT SYLLABUS FOR COURSE IN MAT COLLEGE ALGEBRA (4 SEMESTER HOURS)

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1 SINCLAIR COMMUNITY COLLEGE DAYTON, OHIO DEPARTMENT SYLLABUS FOR COURSE IN MAT COLLEGE ALGEBRA (4 SEMESTER HOURS). COURSE DESCRIPTION: Polynomil, rdicl, rtionl, exponentil, nd logrithmic functions nd their grphs; roots of polynomil functions, rtionl nd polynomil inequlities; conic sections; systems of liner nd nonliner equtions; mtrices; sequences nd series; nd pplictions.. COURSE OBJECTIVES: To develop in the student the theories, skills, nd techniques tht form the foundtion for lger, to provide the student opportunities to pply their knowledge of lger in vriety of contexts, to uild within the student the mthemticl sophistiction necessry for the study of clculus nd other courses/disciplines tht require the use of lger. 3. PREREQUISITE: Stisfctory score on Mthemtics Plcement Test or grde of "C" or etter in either MAT 370 or MAT ASSESSMENT: In ddition to required exms s specified on the syllus, instructors re encourged to include other components in computing finl course grdes such s homework, quizzes, nd/or specil projects. However, 80% of the student s course grde must e sed on in-clss proctored exms. 5. TEXT: College Alger nd Trigonometry, Third Edition Rtti/McWters Person Adopted: Fll 05 MyMthL is required component of this course. It will give students ccess to the online version of the textook, s well s set of homework ssignments nd quizzes. 6. CALCULATOR POLICY: A scientific clcultor is required. Grphing clcultors re not llowed on exms. 7. INTERNSHIP: Plese include the following in your syllus: Experiencing n internship in your field of study is the est wy to egin creer. Compnies offer opportunities throughout the yer for students to prctice wht they lerned in the clssroom to solve rel world of work prolems. To lern more out internship opportunities nd how to connect your skills with future employer, contct Chd R. Bridgmn, M.S.M. Internship Coordintor for Science, Mthemtics & Engineering y phone , office (3-34), or emil Chd.Bridgmn@Sinclir.edu, nd egin test driving your future creer tody!

2 7. PREPARED BY: King Oliver -point of contct, Dvid Hre, Susn Hrris, Crig Birkemeier, Ky Cornelius, Njt Bji, Dvid Stott, Effective: Fll 05

3 SINCLAIR COMMUNITY COLLEGE DAYTON, OHIO CLASS SCHEDULE FOR COURSE IN MAT 470 COLLEGE ALGEBRA (4 SEMESTER HOURS) CLASSES MEETING TIMES A WEEK Lecture Sections Topics Introduction to the Clss Functions Properties of Functions A Lirry of Functions 3.7 Trnsformtions of Functions 4.8 Comining Functions; Composite Functions 5.9 Inverse Functions 6 3. Qudrtic Functions REVIEW FOR TEST 7 TEST [.4.9] 3. Qudrtic Functions 8 3. Polynomil Functions Polynomil Functions Dividing Polynomils The Rel Zeros of Polynomil Function Rtionl Functions 3.5* Inequlities* 4 4. Complex Zeros of Polynomil Function Rtionl Functions Exponentil Functions REVIEW FOR TEST 5 TEST [.5, ] 4. Exponentil Functions 6 4. Logrithmic Functions * Note to instructors regrding section.5: Cover only qudrtic nd higher degree inequlities, nd rtionl functions. n 3

4 MAT 470 College Alger TIMES A WEEK SECTIONS CLASS SCHEDULE (continued) Lecture Sections Topics Rules of Logrithms ** Rules of Logrithms Exponentil nd Logrithmic Equtions nd Inequlities** 9 4.4** Exponentil nd Logrithmic Equtions nd Inequlities** Systems of Liner Equtions in Two Vriles Systems of Liner Equtions in Three Vriles CATCH-UP TIME / Holidy 3 9. Mtrices nd Systems of Equtions REVIEW FOR TEST 3 TEST 3 [4. 4.4, 8.-8., 9.] 0./0. Conic Sections: Overview/ Prols 4 0. Prols 5 6.*** Grphs of Equtions (Circles only***) Ellipses Hyperols Systems of Nonliner Equtions 7 CATCH-UP TIME / Holidy 8 9. Sequences nd Series. Arithmetic Sequences; Prtil Sums.3 Geometric Sequences nd Series REVIEW FOR TEST 4 30 TEST 4 [., 8.4, ,.-.3] Finls Week 3 REVIEW FOR FINAL EXAM 3 COMPREHENSIVE FINAL EXAM ** Note to instructors regrding section 4.4: Plese do not cover Logrithmic nd Exponentil Inequlities. *** Note to instructors regrding section.: Plese cover only circles s specil cse of n ellipse where = = r, from the middle of pge 7 through pge 74. The COMPREHENSIVE FINAL exm will e in two prts. One prt will e prepred y the deprtment. It will e 4-question, 50-minute, multiple-choice test. It will e sent to the instructor in the mil. Another prt is to e prepred y the instructor. It my e of ny formt ut should e 50 minutes long. The instructor should count the deprtmentl prt for 50% of the finl exm score nd the other prt for 50%. The totl finl exm score should count for 0% of the finl course grde. The other four exms should count for 5% ech, nd the homework nd quizzes should count for 0% totl. The instructor will e sked to report the scores on the deprtmentl prt nd the finl course grdes ck to the deprtment.

5 SINCLAIR COMMUNITY COLLEGE DAYTON, OHIO CLASS SCHEDULE FOR COURSE IN MAT 470 COLLEGE ALGEBRA (4 SEMESTER HOURS) CLASSES MEETING 3 TIMES A WEEK Lecture Sections Topics.4 Introduction to the Clss, Functions.4/.5 Functions/ Properties of Functions 3.5/.6 Properties of Functions/ A Lirry of Functions 4.7 Trnsformtions of Functions 5.7/.8 Trnsformtions of Functions/ Comining Functions; Composite Functions 6.8 Comining Functions; Composite Functions 7.9 Inverse Functions 8.9 Inverse Functions 9 3. Qudrtic Functions REVIEW FOR TEST 0 TEST [.4.9] 3. Qudrtic Functions 3. Polynomil Functions 3 3. Polynomil Functions Dividing Polynomils The Rel Zeros of Polynomil Function 5

6 MAT 470 College Alger 3 TIMES A WEEK SECTIONS CLASS SCHEDULE (continued) Lecture Sections Topics Complex Zeros of Polynomil Function Rtionl Functions Rtionl Functions 9.5* Inequlities* 0 REVIEW FOR TEST 4. Exponentil Functions TEST [.5, ] 3 4. Exponentil Functions 4 4. Logrithmic Functions Rules of Logrithms Rules of Logrithms 7 4.4** Exponentil nd Logrithmic Equtions nd Inequlities** 8 4.4** Exponentil nd Logrithmic Equtions nd Inequlities** 9 8. Systems of Liner Equtions in Two Vriles Systems of Liner Equtions in Three Vriles 3 CATCH-UP TIME / Holidy 3 9. Mtrices nd Systems of Equtions 33 REVIEW FOR TEST 3 * Note to instructors regrding section.5: Cover only qudrtic nd higher degree inequlities, nd rtionl functions. ** Note to instructors regrding section 4.4: Plese do not cover Logrithmic nd Exponentil Inequlities.

7 MAT 470 College Alger 3 TIMES A WEEK SECTIONS CLASS SCHEDULE (continued) Lecture Sections Topics 34 TEST 3 [4. 4.4, 8.-8., 9.] Prols 37.*** Hyperols Conic Sections: Overview Prols Grphs of Equtions (Circles only***) Ellipses Hyperols Systems of Nonliner Equtions 40 CATCH-UP TIME / Holidy 4. Sequences nd Series 4. Arithmetic Sequences; Prtil Sums 43.3 Geometric Sequences nd Series 44 REVIEW FOR TEST 4 45 TEST 4 [., 8.4, ,.-.3] Finls Week 46 REVIEW FOR FINAL EXAM 47 COMPREHENSIVE FINAL EXAM (prt ) 48 COMPREHENSIVE FINAL EXAM (prt ) *** Note to instructors regrding section.: Plese cover only circles s specil cse of n ellipse where = = r, from the middle of pge 7 through pge 74. The COMPREHENSIVE FINAL exm will e in two prts. One prt will e prepred y the deprtment. It will e 4-question, 50-minute, multiple-choice test. It will e sent to the instructor in the mil. Another prt is to e prepred y the instructor. It my e of ny formt ut should e 50 minutes long. The instructor should count the deprtmentl prt for 50% of the finl exm score nd the other prt for 50%. The totl finl exm score should count for 0% of the finl course grde. The other four exms should count for 5% ech, nd the homework nd quizzes should count for 0% totl. The instructor will e sked to report the scores on the deprtmentl prt nd the finl course grdes ck to the deprtment. 7

8 DAYTON, OHIO CLASS SCHEDULE FOR COURSE IN MAT 470 COLLEGE ALGEBRA (4 SEMESTER HOURS) SUMMER CLASSES MEETING 3 TIMES A WEEK Week Sections Topics Introduction to the Clss,.4 Functions.5 Properties of Functions.6 A Lirry of Functions.7 Trnsformtions of Functions.8 Comining Functions; Composite Functions.9 Inverse Functions REVIEW FOR TEST 3 TEST [.4.9] 3. Qudrtic Functions 3. Polynomil Functions Dividing Polynomils 3.4 The Rel Zeros of Polynomil Function Complex Zeros of Polynomil Function Rtionl Functions

9 MAT 470 College Alger SUMMER CLASSES MEETING 3 TIMES A WEEK (continued) Week Sections Topics Rtionl Functions 3.6 Rtionl Functions.5* Inequlities*.5* Inequlities* REVIEW FOR TEST 6 TEST [.5, ] 4. Exponentil Functions 4. Logrithmic Functions Rules of Logrithms 4.3 Rules of Logrithms 4.4** Exponentil nd Logrithmic Equtions nd Inequlities** 4.4** Exponentil nd Logrithmic Equtions nd Inequlities** 8 8. Systems of Liner Equtions in Two Vriles 8. Systems of Liner Equtions in Three Vriles CATCH-UP TIME / Holidy REVIEW FOR TEST 3 * Note to instructors regrding section.5: Cover only qudrtic nd higher degree inequlities, nd rtionl functions. ** Note to instructors regrding section 4.4: Plese do not cover Logrithmic nd Exponentil Inequlities. 9

10 MAT 470 College Alger SUMMER CLASSES MEETING 3 TIMES A WEEK (continued) Week Sections Topics 9 TEST 3 [4. 4.4, 8.-8., 9.] 0./0. Conic Sections: Overview/ Prols 0. Prols 0.*** 0.3 Grphs of Equtions (Circles only***) Ellipses 0.4 Hyperols 8.4 Systems of Nonliner Equtions.. Sequences nd Series Arithmetic Sequences; Prtil Sums.3 Geometric Sequences nd Series REVIEW FOR TEST 4 CATCH-UP TIME / Holidy TEST 4 [., 8.4, ,.-.3] REVIEW FOR THE FINAL EXAM COMPREHENSIVE FINAL EXAM *** Note to instructors regrding section.: Plese cover only circles s specil cse of n ellipse where = = r, from the middle of pge 7 through pge 74. The COMPREHENSIVE FINAL exm will e in two prts. One prt will e prepred y the deprtment. It will e 4-question, 50-minute, multiple-choice test. It will e sent to the instructor in the mil. Another prt is to e prepred y the instructor. It my e of ny formt ut should e 50 minutes long. The instructor should count the deprtmentl prt for 50% of the finl exm score nd the other prt for 50%. The totl finl exm score should count for 0% of the finl course grde. The other four exms should count for 5% ech, nd the homework nd quizzes should count for 0% totl. The instructor will e sked to report the scores on the deprtmentl prt nd the finl course grdes ck to the deprtment.

11 MAT 470 Course Formuls Prerequisite Formuls Formuls of specil importnce tht students re expected to know upon entering this course. - Distnce Formul d x x y y x x y y - Midpoint Formul M, - Slope of Line - Forms of liner Equtions Slope-Intercept Form m y x y x y mx Point-Slope Form y y mx Horizontl Line y x Verticl Line x Course Formuls - Formuls tht students re required to memorize in this course: Chpter 3 - Qudrtic Function f x x x c; vertex, f f x x h k; vertex h, k - Qudrtic Formul If x x c 0, 0 then x 4c Chpter 4 - Rules of Exponents ( ) x y x y, x y x y, x y xy 0 x,, x - Definition of Logrithm y log x if nd only if y x (with > 0,, x > 0) - Properties of Logrithms log, log x x, log 0, x log x

12 Mt College Alger Course Formuls (Continued) Chpter 4 (Cont) - Lws of Logrithms log M log log M log N N MN log M log N - Chnge of Bse Formul log log x log x r log M r log M kt - Exponentil Growth nd Decy A( t) A0e, k 0 kt A( t) A0e, k 0 - Simple Interest: I Prt Future vlue P( t) P Prt r n nt - Compound Interest At P Continuous Compounding rt A t Pe Chpter 0 - Equtions of Conic Sections Prol x h 4 p y k, y k 4p x h x h Circle y k r Ellipse ( x h) ( y k), ( x h) ( y k), 0, c Hyperol ( x h) ( y k), ( y k) ( x h), c Chpter - Arithmetic Sequence: n ( n ) d Geometric Sequence: n r n - Prtil sums of n Arithmetic Sequence S n n - Prtil sums of Geometric Sequence n n d S n n S n n r r r, - Sum of n infinite Geometric Series S if r r