MAT 244 - Vector Calculus Syllabus Spring, 1994
Seattle Central Community College Math 238 – Differential Equations Course Syllabus Winter 2016 Item #1372, section 01, 9-9:50 am daily, SAM102 Instructor Information Name: Greg Langkamp Phone: 206-934-3810 Email: [email protected] Office: SAM 413 Office Hours: MWF: 11-11:50am, TuTh: 10-11am, or by appointment. Prerequisites: MATH&152 w/ 2.0 or higher with in the last 3 years. Math 163 STRONGLY recommended. Mathematica Proficiency Required: Students taking this course must be proficient with the Mathematica software program. Students without Mathematica experience must register for CSC102Q. This 1-credit course begins the 2nd week of the quarter and ends the 4th week of the quarter. Many sections of CSC102Q are offered – please consult the SCC website for section days, times, and openings. 1st day Attendance: Students must attend the first day of class or they will be dropped from the course. If you cannot attend the 1st day, you must contact me by the afternoon of the first class. Waitlist Policy: At the end of the 1st day I will know how many students can be added to the class. Those students on the electronic waitlist who attend the first day will be added to the class in order according to their waitlist rank. There is no guarantee that anyone will be added into the course. Students on the waitlist should be prepared to show proof of their prerequisites before I sign their registration “add” form. Course format: I believe the best way for students to learn is to do the math, rather than listen to a teacher tell them how to do the math. To this end, I try to incorporate active student exercises (often in groups) to supplement the lectures. Since we sometimes start group activities immediately, it is unacceptable to arrive late to class. I understand that occasionally things come up - but frequent, late arrivals may impact your grade. Classroom: This course meets daily in a computer classroom. No food is allowed in the classroom. Drinks with tight plastics lids are OK, but clean up any messes that you make! Like in the wilderness, leave it cleaner than you find it! Course Materials: a) Textbook: Blanchard, Devaney and Hall, Differential Equations, 4th ed. Cengage pub., 2012. ISBN: 978-O-495-56198-9 b) Course packet ≈ $6.50. Available at the copy center (3rd floor main bldg.) Purchase by 3rd class day. c) Pencil, eraser, graph paper, and small ruler. All handwritten work must be submitted in pencil!! d) USB Flash drive (a.k.a. thumb drive) to store computer files. e) A graphing calculator may be useful. Cannot have symbolic algebraic capabilities. If you are not using a TI-83 or TI-84, get approval from me. Rentals available for $10 – see me if interested. f) OPTIONAL: Student Solution Manual. ISBN: 978-0-495-82672-9 g) OPTIONAL: Print money on your student account. Go to the computing center on the 3rd floor of the main building to add money to your account. h) OPTIONAL: Electronic Dictionary (for students whose native language is not English). An electronic dictionary can be used during class, including quizzes and exams. Web access not allowed. 1
Internet Access: This course requires that you access the internet several times each week. Students who do not have internet access at home will need to use computers in the SCCC computer labs, in a local library, etc. Course Technology: A) WAMAP: This course will make use of WAMAP, an online course-management program. There are three features of wamap that we will make use of: (1) in WAMAP I will post class announcements, grades, and documents to read or download. (2) WAMAP has an internal message system, which allows you and me to contact members of the class. (3) an online homework system. You will be registered into WAMAP and added to my class automatically. To sign in: Go to www.wamap.org. Username: 9 digit SID Password: Last 4 digits of SID Note#1: If you access WAMAP with a different username for another course, you will still need to use the username listed above for this course. Sorry for the inconvenience of having two usernames! Note #2: If you have changed your password and cannot remember it, I can reset it for you.
B) DETools Textbook software: We will occasionally use the DETools Java applet that comes with the text. Each new textbook comes with an access code to download the applet. If you have a used text and want to buy an access code ($65), go to http://www.cengagebrain.com/shop/isbn/9780495562009. We also have DETools on the SCC student network – that should be all you need. C) Mathematica software: We will often use the Mathematica software program, which is also on the student network. SCCC Students can download a free copy of Mathematica for Students at the Math Department Website: http://www.seattlecentral.edu/learn/math/mathematica.html.
Workload for this course: Expect to spend on average 2 hours per day for this course outside of class; this time will consist of reading your textbook, reading your class notes, doing homework problems from the textbook, studying for quizzes and exams, and preparing for special class days. Watch the WAMAP calendar closely for due dates.
Course Learning Outcomes: Solve differential equations of orders one and two algebraically, numerically, and graphically. Solve certain systems of equations. Determine equilibria stability and bifurcation values of autonomous ODES and systems. Set up differential equations to model applied problems. Use technology effectively (a C.A.S., a numerical solver, and calculators) in analyzing qualitative and quantitative behaviors.
2
Course Contents: Below is an tentative week-by-week guide to the course, with textbook sections numbers. Week 1 2 3 4 5 6 7 8 9-10
Topics and sections in BDH Modeling, Separation of Variables, Slope Fields (1.1, 1.2, 1.3) Euler’s Method, Existence/Uniqueness Thm., Phase Lines (1.4, 1.5, 1.6) Bifurcations, Linear Equations, Integrating Factors (1.7, 1.8, 1.9) Integrating factors, Series solutions, (1.9, App. B) exam #1 System Modeling, Damped Harmonic Oscillators (2.1, 2.2, 2.3) Euler’s and EU Thm, Linear Systems and Real Eigenvalues (2.4, 2.5, 2.6, 3.1, 3.2) Phase portraits, Complex, repeated and zero eigenvalues (3.3, 3.4, 3.5, 3.6) 2nd order linear equations, more power series, exam #2 Forced Harmonic Oscillators and resonance (4.1, 4.2, 4.3); Exact and Bernoulli Eq. (notes) 11 Laplace Transforms – if time allows (6.1, 6.2, 6.3) 12 Final Exam
Textbook homework: For each section in the textbook I will assign a set of homework problems. Oddnumbered problems have answers in the back of the text and worked-out solutions in the Student Solutions Manual. I will collect some of this homework – see WAMAP for details. No late homework accepted, unless with a late pass.
WAMAP homework and Reading Assignments: Several sections in the text have corresponding WAMAP online problems. Watch the WAMAP calendar for details. In the second week I will give everyone 1 “late pass” for these problems. There are also short Reading Assignments for most sections of the text. These are online questions – see the WAMAP calendar for details. No late passes allowed for these questions.
Course assessments: Below is a tentative list of the assessments for this course. Assessment Activity WAMAP Reading Assignments &Homework Text Homework (5@ 10 points each) Class problems/worksheets (1-3 points each) Group Projects 20-minute quizzes (5@20 pts each, drop lowest) 50-minute exams (2@ 100 points each) Cumulative final exam Approximate total points
approximate points scaled to 50 points 50 points 10 points 60 points
Late work? Make-ups? no late work, 1 Late Pass no late work, 1 Late Pass no late papers / no make-ups no late papers / no make-ups
80 points
no late papers / no make-ups
200 points 150 points 600 points
make-ups with prior contact no make-ups
There is no individualized extra credit in this course. NO EXTRA CREDIT!
3
P 48 , where G is your grade and P is 12 your overall percentage correct. Example: if your percentage is P 83% , then your grade is 83 48 G 2.9 12 Grades: Grades will be computed by using the formula: G
The table below shows the minimum percentage that you need to get a particular grade in the course. You will be able to find your percentage in your WAMAP grade book under Total Past Due. Grade 4.0 3.9 3.8 3.7 3.6 3.5 3.4 3.3 3.2
min % 95.4% 94.2% 93.0% 91.8% 90.6% 89.4% 88.2% 87.0% 85.8%
Grade 3.1 3.0 2.9 2.8 2.7 2.6 2.5 2.4 2.3
min % 84.6% 83.4% 82.2% 81.0% 79.8% 78.6% 77.4% 76.2% 75.0%
Grade 2.2 2.1 2.0 1.9 1.8 1.7 1.6 1.5 1.4
min % 73.8% 72.6% 71.4% 70.2% 69.0% 67.8% 66.6% 65.4% 64.2%
Grade 1.3 1.2 1.1 1.0 0.0
min % 63.0% 61.8% 60.6% 59.4% < 59.4%
Further course policies: In general, by signing up for this course you are expected to attend every day and be present for quizzes, exams, and class problems. If you need to be absent during the quarter for any reason (work, home issues, illness, vacation, childcare, etc.) your absence may lower your grade.
Late textbook homework is not accepted, except with a late pass (1 allowed). No make-up quizzes are allowed. I will drop your lowest quiz grade to accommodate for unplanned emergencies. There is no extra credit in this course. NO EXTRA CREDIT!
If you are absent on the day of an exam, YOU MUST CONTACT ME BEFORE CLASS BEGINS!! I will try to schedule a make-up exam, providing that you have been attending class regularly and you can take the make-up at a reasonably convenient time.
Electronic devices: All cell phones, pagers, and other such electronic equipment are to be turned off during class. Personal laptops may be allowed on certain class days.
Special Accommodations: Students with documented disabilities who need course accommodations, have emergency medical information or require special arrangements for building evacuation should contact the instructor within the first week of class. Final Exam: see posting in wamap Final Note: Information in this syllabus may be modified during the quarter with sufficient notice.
4
Internet Access: This course requires that you access the internet several times each week. Students who do not have internet access at home will need to use computers in the SCCC computer labs, in a local library, etc. Course Technology: A) WAMAP: This course will make use of WAMAP, an online course-management program. There are three features of wamap that we will make use of: (1) in WAMAP I will post class announcements, grades, and documents to read or download. (2) WAMAP has an internal message system, which allows you and me to contact members of the class. (3) an online homework system. You will be registered into WAMAP and added to my class automatically. To sign in: Go to www.wamap.org. Username: 9 digit SID Password: Last 4 digits of SID Note#1: If you access WAMAP with a different username for another course, you will still need to use the username listed above for this course. Sorry for the inconvenience of having two usernames! Note #2: If you have changed your password and cannot remember it, I can reset it for you.
B) DETools Textbook software: We will occasionally use the DETools Java applet that comes with the text. Each new textbook comes with an access code to download the applet. If you have a used text and want to buy an access code ($65), go to http://www.cengagebrain.com/shop/isbn/9780495562009. We also have DETools on the SCC student network – that should be all you need. C) Mathematica software: We will often use the Mathematica software program, which is also on the student network. SCCC Students can download a free copy of Mathematica for Students at the Math Department Website: http://www.seattlecentral.edu/learn/math/mathematica.html.
Workload for this course: Expect to spend on average 2 hours per day for this course outside of class; this time will consist of reading your textbook, reading your class notes, doing homework problems from the textbook, studying for quizzes and exams, and preparing for special class days. Watch the WAMAP calendar closely for due dates.
Course Learning Outcomes: Solve differential equations of orders one and two algebraically, numerically, and graphically. Solve certain systems of equations. Determine equilibria stability and bifurcation values of autonomous ODES and systems. Set up differential equations to model applied problems. Use technology effectively (a C.A.S., a numerical solver, and calculators) in analyzing qualitative and quantitative behaviors.
2
Course Contents: Below is an tentative week-by-week guide to the course, with textbook sections numbers. Week 1 2 3 4 5 6 7 8 9-10
Topics and sections in BDH Modeling, Separation of Variables, Slope Fields (1.1, 1.2, 1.3) Euler’s Method, Existence/Uniqueness Thm., Phase Lines (1.4, 1.5, 1.6) Bifurcations, Linear Equations, Integrating Factors (1.7, 1.8, 1.9) Integrating factors, Series solutions, (1.9, App. B) exam #1 System Modeling, Damped Harmonic Oscillators (2.1, 2.2, 2.3) Euler’s and EU Thm, Linear Systems and Real Eigenvalues (2.4, 2.5, 2.6, 3.1, 3.2) Phase portraits, Complex, repeated and zero eigenvalues (3.3, 3.4, 3.5, 3.6) 2nd order linear equations, more power series, exam #2 Forced Harmonic Oscillators and resonance (4.1, 4.2, 4.3); Exact and Bernoulli Eq. (notes) 11 Laplace Transforms – if time allows (6.1, 6.2, 6.3) 12 Final Exam
Textbook homework: For each section in the textbook I will assign a set of homework problems. Oddnumbered problems have answers in the back of the text and worked-out solutions in the Student Solutions Manual. I will collect some of this homework – see WAMAP for details. No late homework accepted, unless with a late pass.
WAMAP homework and Reading Assignments: Several sections in the text have corresponding WAMAP online problems. Watch the WAMAP calendar for details. In the second week I will give everyone 1 “late pass” for these problems. There are also short Reading Assignments for most sections of the text. These are online questions – see the WAMAP calendar for details. No late passes allowed for these questions.
Course assessments: Below is a tentative list of the assessments for this course. Assessment Activity WAMAP Reading Assignments &Homework Text Homework (5@ 10 points each) Class problems/worksheets (1-3 points each) Group Projects 20-minute quizzes (5@20 pts each, drop lowest) 50-minute exams (2@ 100 points each) Cumulative final exam Approximate total points
approximate points scaled to 50 points 50 points 10 points 60 points
Late work? Make-ups? no late work, 1 Late Pass no late work, 1 Late Pass no late papers / no make-ups no late papers / no make-ups
80 points
no late papers / no make-ups
200 points 150 points 600 points
make-ups with prior contact no make-ups
There is no individualized extra credit in this course. NO EXTRA CREDIT!
3
P 48 , where G is your grade and P is 12 your overall percentage correct. Example: if your percentage is P 83% , then your grade is 83 48 G 2.9 12 Grades: Grades will be computed by using the formula: G
The table below shows the minimum percentage that you need to get a particular grade in the course. You will be able to find your percentage in your WAMAP grade book under Total Past Due. Grade 4.0 3.9 3.8 3.7 3.6 3.5 3.4 3.3 3.2
min % 95.4% 94.2% 93.0% 91.8% 90.6% 89.4% 88.2% 87.0% 85.8%
Grade 3.1 3.0 2.9 2.8 2.7 2.6 2.5 2.4 2.3
min % 84.6% 83.4% 82.2% 81.0% 79.8% 78.6% 77.4% 76.2% 75.0%
Grade 2.2 2.1 2.0 1.9 1.8 1.7 1.6 1.5 1.4
min % 73.8% 72.6% 71.4% 70.2% 69.0% 67.8% 66.6% 65.4% 64.2%
Grade 1.3 1.2 1.1 1.0 0.0
min % 63.0% 61.8% 60.6% 59.4% < 59.4%
Further course policies: In general, by signing up for this course you are expected to attend every day and be present for quizzes, exams, and class problems. If you need to be absent during the quarter for any reason (work, home issues, illness, vacation, childcare, etc.) your absence may lower your grade.
Late textbook homework is not accepted, except with a late pass (1 allowed). No make-up quizzes are allowed. I will drop your lowest quiz grade to accommodate for unplanned emergencies. There is no extra credit in this course. NO EXTRA CREDIT!
If you are absent on the day of an exam, YOU MUST CONTACT ME BEFORE CLASS BEGINS!! I will try to schedule a make-up exam, providing that you have been attending class regularly and you can take the make-up at a reasonably convenient time.
Electronic devices: All cell phones, pagers, and other such electronic equipment are to be turned off during class. Personal laptops may be allowed on certain class days.
Special Accommodations: Students with documented disabilities who need course accommodations, have emergency medical information or require special arrangements for building evacuation should contact the instructor within the first week of class. Final Exam: see posting in wamap Final Note: Information in this syllabus may be modified during the quarter with sufficient notice.
4
