Mesa Community College Department of Mathematics Mat 277 Differential Equations Instructor: Michael Santilli

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1 Mat 277 Differential Equatins Instructr: Michael Santilli Curse Number: MAT 277 Curse title: Differential Equatins Sectin Number: Days/time: M,T,W,R 9:00 10:15 PM Instructr: Michael Santilli Office: MC 110 after class by appintment nly Text: A First Curse in Differential Equatins-5 th ed. Authr: Dennis G. Zill Prerequisites: MAT 231 Office Hurs: Call (520) Class web page: tillitughlve.blgspt.cm tveg@basicisp.net Attendance: Every student is expected t be at every class. Any student wh misses five r mre classes may be withdrawn frm the class and will earn a grade f W, Y, r F frm the cllege. All absences must be excused. Please cntact me befre class if yu are nt planning t cme. Hmewrk: A general hmewrk frmat will be implemented and yu are expected t fllw it. Any hmewrk that des nt fllw this frmat will be returned t the student and will nt be accepted until the afrementined frmat is met. This frmat is utlined in this syllabus. Hmewrk is due n each exam day. There may als be additinal prblems assigned as extra credit. The credit will be applied as disclsed by instructr. Please dwnlad the hmewrk/ class schedule under the class web page s hmewrk link. Testing: There will be 2 regular exams during this grading perid. There are NO make-ups fr exams. Instead, yur lwest exam grade will be replaced by the Final Exam grade if higher. All exams are t be cmpleted in an fficial examinatin bklet (Blue bks). In additin, there will be a cmprehensive final exam. The final exam will nt be given early and may nt be made up. KNOW THE TOUGHLOVE MATERIAL FOR AID ON EXAMS AND QUIZZES!! Dishnesty: If it is determined that yu did nt d yur wn wrk n an exam yu will receive an F as yur grade fr the exam. NO exceptins, NO SECOND CHANCES! Calculatrs: Students are recmmended t pssess and be able t use a scientific calculatr and graphing calculatr. Yu will be using them in class and n hmewrk and exams. Grades: Class grade will be based n a pint scale. A ( pints), B ( pints), C ( pints), D ( pints), F (0-599 pints) the grading pint structure fr the class is as fllws: Hmewrk and Ntes 300 pints Tughlve Quizzes pints 2 semester exams (200 pints each) pints Final exam- 200 pints Ttal pints Disabilities: If yu have any disabilities which may hinder yur learning the material presented in this class please infrm student services and cmplete the apprpriate frms as sn as pssible. I will d everything reasnably pssible t help yu be successful in learning the material in this class. General Remarks: It is the respnsibility f each student t prepare fr each class perid - attempt all hmewrk prblems, read the text, if needed, study, and get extra help when necessary. As a general rule, students shuld expect t spend 4-6 hurs preparing fr each class perid - cme prepared t learn new material. Yur wrk, whether n hmewrk r exams, shuld be neat and easily fllwed, and yur slutins shuld be clearly stated. Yu must fllw the adpted prcedures, guidelines, and frmat f the class. Beepers and cell phnes must be turned ff during class. Use f recrding devices must have prir apprval by the instructr. Curse schedules, assignments, and exam dates are subject t change as circumstances dictate. Instructr has the right t change any part f the class, as he deems necessary.

2 A. Exact methds f slutin Mesa Cmmunity Cllege Mat 277 Differential Equatins Instructr: Michael Santilli Curse Outline-Mdern Differential Equatins: First rder equatins Separable Exact Hmgeneus Integrating factr techniques Linear equatins Slpe fields Applicatins and cmputer investigatins Secnd rder equatins Hmgeneus Nn-hmgeneus Applicatins and cmputer investigatins Laplace Transfrm First Order Linear Equatins Secnd Order Linear Equatins Linear Systems Applicatins B. Discrete apprximatins a. Euler and imprved Euler methds b. Runge-Kutta c. Applicatins and cmputer investigatins C. Linear Systems f differential equatins a. Laplace transfrm b. Matrix methds c. Phase plane d. Applicatins and cmputer investigatins e. Differential peratr methd D. Intrductin t Nnlinear Systems a. Linearizatin f autnmus systems b. Stability analysis f equilibrium c. Phase prtrait analysis

3 A. CLASS SUPPLIES NEEDED: 1. 3 ring binder (2 r larger preferred) 2. 5 dividers a. Sectin ne- Instructr Handuts b. Sectin tw- Class ntes c. Sectin three- Hmewrk d. Sectin fur- Quizzes e. Sectin five- Exams 3. Pencil puch fr binder 4. Mechanical pencil with LEAD and MANY erasers (5-7 mm lead preferred) 5. RED Pen 6. YELLOW Highlighter 7. Scientific Graphing Calculatr (minimum) Examinatin Bks (BLUE BOOKS) 9. Lined ntebk paper fr nte taking (cllege rule preferred) 10. Graph paper (1/4 r 1/5 grid) ntebk ruler 12. tt stapler with staples B. Please set up yur ntebk with ample amunt f ntebk paper in Sectins 2 and 3. This handut alng with the class syllabus ges in Sectin 1. Ruler snaps int the binder. All f the ther class supplies g int the binder pencil puch. It is yur respnsibility t make sure yur supplies are readily available!

4 Sample test and hmewrk frmat: C. Hmewrk frmat: Staple Eac h Sectin Tg ether NO LOOSE PAGES!! On tp f EV ERY PAGE State Class/sectin On the tp f EV ERY PAGE State Hmewrk Sectin /page/prblem On the tp f EV ERY PA GE Sta te Full Name MCC MA TH 220 SECTION: 1.1 JOHNNY BOY Sectin 8044 Page 22 # /4 3x + 2y = 14 6x - 5y = 6 etc... etc. etc. Cpy Dwn Prblem Then SHOW ALL WORK! Every step must be shwn t get credi t fr ding the hmewrk. Left f Margin, State Prblem Page/Number X =5 and Y = 4 Bx and H ighlight Answer 28/5 /4 Repeat the Abve Prce ss 2x + 8y = 55 7x-6y=12 etc., etc., etc. X = 2 and Y = 7 S k ip at Least ONE S pace Befre Starting the Next Prblem 1. This frmat must be fllwed fr HOMEWORK, QUIZZES, AND EXAMS when applicable. 2. Backsides f paper can be used but the frmat must be the same. 3. Imprtant: Always start new hmewrk sectins n the frnt f a new sheet f paper! Staple each sectin n hmewrk separately. 4. Using student slutin manuals are allwed but nt recmmended unless used as a last resrt. Cntact yur instructr in class, by phne, r t seek additinal help.

5 Study habits, nte taking and exam taking strategies: A. Study habits: It is imperative that yu are prepared each day fr new material. Yu will nt pass the class if yu expect t d all f the wrk ver weekends nly. T succeed in this class yu will need t d the hmewrk and review all f day s class ntes befre the fllwing class. All questins r areas that yu need clarificatin n in yur ntes need t be addressed immediately, i.e., the fllwing class perid. Dwnlad the class ntes that are n the web and incrprate them int yur ntes. D nt use the web ntes as yur primary surce f class ntes. Yu will need t take yur wn ntes. We will be cvering an extremely large amunt f infrmatin, prbably mre than yu have ever experienced befre. Yu will nt have much time t digest this infrmatin. Therefre it is a matter f survival t review and cmplete yur hmewrk befre every class perid. Study grups are anther great idea. I give extra credit fr students that wrk in a grup. Getting help frm a math tutr is als cnsidered wrking in a grup. Check ut the web site fr recmmended tutrs. Make sure yu have all f yur supplies and text in each class. B. Nte taking: I am ging t let yu in n a great Tilli Tidbit secret. Hw wuld yu like t never have t study the night befre an exam? Hw wuld yu like t have a greater understanding f all f the material cvered in class? Hw wuld yu like t learn calculus faster and perfrm better than yu ever thught pssible? There is nly ne way t d this. After every class perid, yu need t RECOPY yur class ntes in 2 r 3 clr inks. Pretend yu are writing a math bk and yur class ntes are yur surce f infrmatin. Restructure yur ntes. Highlight pertinent infrmatin. Break up yur text with multi-clred paragraphs and/r use yur clrs as an indexing system, fr an example, red ink fr quiz questins, blue ink fr definitins, and black ink fr titles. Breaking up yur ntes int multiple clrs will allw yu t differentiate between tpics and ideas. Als, by rewriting yur ntes immediately after class will reinfrce the subject matter while insuring that there are n discntinuities in yur infrmatin. If yu d this after every class, yu will reap the benefits mentined abve. Digesting this material at lightning speed is nt nly pssible but prbable. C. Test taking: This tpic is the least understd by students. There is a BETTER way t take an exam. I will pst n the web an utline f each exam I plan t give yu. I will state the type f prblem, the number f pints the prblem is wrth, and the rder the prblems will be stated n the exam. Yu will write ut a schedule n prir t taking the exam. Yu will allcate a certain amunt f time fr each prblem then yu will stick t that schedule while taking the exam. Yu shuld nt be in a mindset f trying t get an A n the exam but instead trying t get the maximum number f pints pssible. Yu will d better in this class with that kind f mindset. Mre n this subject later during the exam reviews. Gd luck and have a great semester!