MAT 244 - Vector Calculus Syllabus Spring, 1994
Prof. Greg Langkamp - Seattle Central Community College Math 220 – Linear Algebra Course Syllabus Fall 2016 (Item #1358.01, 9-9:50am daily, SAM102) Instructor Information Instructor: Prof. Greg Langkamp Office Phone: 206-934-3810 Email: [email protected] Office: SAM 413 MWF: 10-10:50 AM, TuTh: 2-2:50 PM; or by appointment. Mathematica Proficiency Required: Students taking this course must be proficient with the Mathematica software program. Students who have little or no experience with Mathematica 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 being offered – please consult the Seattle Central website for section days, times, and openings. Prerequisites: Calculus III (Math 153/163) with a 2.0 or better. You must meet the prerequisite to be in this class, or to overload this class. 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, providing space allows. 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 (copy of your placement test score, or unofficial copy of your 152 grade) before I sign their Course Registration 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. As a teacher, I pursue this by keeping lecturing to a minimum, and having students work in groups on relevant problems. The benefit of group work is that students are actively engaged in the learning process, and feel more comfortable asking questions and suggesting strategies in the company of peers. Classroom: This course meets daily in a computer classroom. No food or drink is allowed on the desk tops. Please keep the classroom clean. Like in the wilderness, clean it up even if you did not make the mess. Course Materials: a) Textbook: Lay, Lay and McDonald, Linear Algebra and its Applications, 5th Ed., Pearson Publishing, 2016. ISBN13: 9780321982384 b) Course packet - none at this time 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) You may use any calculator for daily use. I will provide simple scientific calculators for quizzes and exams. f) Print capability on the Seattle Central student network, or other. g) OPTIONAL: Student Solution Manual and Student Study Guide to accompany text. 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.
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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 SCC computer labs, in a local library, etc. If you wish to print at SCC, you may need a print card or student ID with credit on it. WAMAP: This course will make use of WAMAP, an online course-management program. Go to www.wamap.org. You will be registered into WAMAP and added to my class automatically. Username: 9 digit SID Password: Last 4 digits of SID Note: if you have signed into WAMAP previously using the same username (your SID), you will need to use the same password that you used previously. If you have forgotten that old password, let me know by email and I will reset your password.
Workload for this course: You should 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 and wamap, studying for quizzes and exams, and preparing for special class days. Watch the WAMAP calendar closely for due dates. Course Contents: Below is an approximate week-by-week guide to the course. Some topics may be omited because of time constraints. Week 1 2 3 4 5 6 7 8 9-10 11 12
Topics and sections Systems of Linear Equations and Applications Vector equations; Matrix Equations; Matrix multiplication Solution Sets; Linear independence; Exam #1; Linear Transformations; Matrix Transformations. Matrix operations and inverses Vector subspaces, Dimension and Rank Matrix subspaces: column, row, and null subspaces Exam #2; Determinants Eigenvalues and Eigenvectors; Diagonaliation Dot product, orthogonal projections, least squares approximations Final Exam
Learning Outcomes: As a result of taking this course, students will be able to:
Solve linear systems using matrices and row reduction methods. Decompose solutions of linear systems of equations into proper vector form. Apply rules of matrix algebra to multiply matrices and find their inverses, when possible. Describe and recognize linear transformations. Describe subspaces for Rn. Describe general vector spaces. Compute determinants. Compute eigenvalues and eigenvectors. Compute dot products. Find orthogonal projections and orthogonal bases in Rn. Apply concepts and techniques of linear algebra in a variety of contexts. Complete short proofs based on definitions and theorems. 2
Textbook homework: Each section in the textbook will have a set of homework problems (see wamap). Some problems have answers in the back of the text and worked-out solutions in the Student Solutions Manual. I may collect some of this homework – collections are announced in advance. When submitting your homework, follow the protocols listed in WAMAP. Stay on top of the homework! Doing homework pays off -- I often base quiz and exam problems on textbook homework. WAMAP homework: Each week there will be a few online homework assignments. All of these assignments are meant to compliment the textbook problems. Watch the WAMAP calendar for new assignments that come online – you are typically given a minimum of 3 days to get these assignments done. The grading policy for these assignments is posted in WAMAP. By the second week you will have 2 “late passes” for online WAMAP homework. Below is an approximate summary of the assessments for this course. Assessment Activity WAMAP Homework (drop lowest) Textbook Homework In-class problems (1-3 pts each) Group Labs Quizzes (5@20 pts, drop lowest) 50-minute exams (2@ 100 pts) Cumulative final exam Approximate total points
Approx. points 40 pts 40 pts 10 pts 40 pts 80 pts 200 pts 150 pts 560 pts
Grades: Grades will be computed by using the formula:
G
P 48 12
Late work? Make-ups? no late work, 2 Late Passes late work with penalty no late papers / no make-ups no late papers / no make-ups no late papers / no make-ups make-ups with prior approval no make-ups
, where G is your grade and P is your
overall percentage correct. Example: if your percentage is P 83% , then your grade is G
83 48 2.9 12
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.
Cheating: Cheating includes, but is not limited to, copying another's work on an in-class exam or quiz, or turning in another person's work as one's own for a homework or other hand-in assignment. Anyone caught cheating will get a 0 on that particular assignment. Depending on the circumstances, that person may also receive a 0.0 for the class, and/or be reported to the Seattle Central Dean of Students. Do not risk your academic career by cheating! 3
Policy on missing class, quizzes, tests, etc.: In general, by signing up for this course you are expected to attend every day and be present for quizzes, tests, and class problems. If you plan to be absent and notify me in advance, I will try to help you plan ahead so you may study on your own. This is not a promise -- it depends on the reasonableness of your request and the timing involved in consideration of the rest of the class. Quizzes and tests are announced in advance. If you cannot attend class on the day of a quiz, don't worry, you get to drop your lowest quiz score. BUT, if you cannot attend class on the day of a test because of illness, YOU MUST CALL OR EMAIL ME BEFORE THE TEST. I will try to arrange a make-up test, providing that you return to class in a reasonable amount of time after being absent. Failure to call or email beforehand will result in a grade of 0 for the test (special circumstances may be considered). 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 two weeks of class. Final Note: Information in this syllabus may be modified during the quarter.
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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 SCC computer labs, in a local library, etc. If you wish to print at SCC, you may need a print card or student ID with credit on it. WAMAP: This course will make use of WAMAP, an online course-management program. Go to www.wamap.org. You will be registered into WAMAP and added to my class automatically. Username: 9 digit SID Password: Last 4 digits of SID Note: if you have signed into WAMAP previously using the same username (your SID), you will need to use the same password that you used previously. If you have forgotten that old password, let me know by email and I will reset your password.
Workload for this course: You should 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 and wamap, studying for quizzes and exams, and preparing for special class days. Watch the WAMAP calendar closely for due dates. Course Contents: Below is an approximate week-by-week guide to the course. Some topics may be omited because of time constraints. Week 1 2 3 4 5 6 7 8 9-10 11 12
Topics and sections Systems of Linear Equations and Applications Vector equations; Matrix Equations; Matrix multiplication Solution Sets; Linear independence; Exam #1; Linear Transformations; Matrix Transformations. Matrix operations and inverses Vector subspaces, Dimension and Rank Matrix subspaces: column, row, and null subspaces Exam #2; Determinants Eigenvalues and Eigenvectors; Diagonaliation Dot product, orthogonal projections, least squares approximations Final Exam
Learning Outcomes: As a result of taking this course, students will be able to:
Solve linear systems using matrices and row reduction methods. Decompose solutions of linear systems of equations into proper vector form. Apply rules of matrix algebra to multiply matrices and find their inverses, when possible. Describe and recognize linear transformations. Describe subspaces for Rn. Describe general vector spaces. Compute determinants. Compute eigenvalues and eigenvectors. Compute dot products. Find orthogonal projections and orthogonal bases in Rn. Apply concepts and techniques of linear algebra in a variety of contexts. Complete short proofs based on definitions and theorems. 2
Textbook homework: Each section in the textbook will have a set of homework problems (see wamap). Some problems have answers in the back of the text and worked-out solutions in the Student Solutions Manual. I may collect some of this homework – collections are announced in advance. When submitting your homework, follow the protocols listed in WAMAP. Stay on top of the homework! Doing homework pays off -- I often base quiz and exam problems on textbook homework. WAMAP homework: Each week there will be a few online homework assignments. All of these assignments are meant to compliment the textbook problems. Watch the WAMAP calendar for new assignments that come online – you are typically given a minimum of 3 days to get these assignments done. The grading policy for these assignments is posted in WAMAP. By the second week you will have 2 “late passes” for online WAMAP homework. Below is an approximate summary of the assessments for this course. Assessment Activity WAMAP Homework (drop lowest) Textbook Homework In-class problems (1-3 pts each) Group Labs Quizzes (5@20 pts, drop lowest) 50-minute exams (2@ 100 pts) Cumulative final exam Approximate total points
Approx. points 40 pts 40 pts 10 pts 40 pts 80 pts 200 pts 150 pts 560 pts
Grades: Grades will be computed by using the formula:
G
P 48 12
Late work? Make-ups? no late work, 2 Late Passes late work with penalty no late papers / no make-ups no late papers / no make-ups no late papers / no make-ups make-ups with prior approval no make-ups
, where G is your grade and P is your
overall percentage correct. Example: if your percentage is P 83% , then your grade is G
83 48 2.9 12
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.
Cheating: Cheating includes, but is not limited to, copying another's work on an in-class exam or quiz, or turning in another person's work as one's own for a homework or other hand-in assignment. Anyone caught cheating will get a 0 on that particular assignment. Depending on the circumstances, that person may also receive a 0.0 for the class, and/or be reported to the Seattle Central Dean of Students. Do not risk your academic career by cheating! 3
Policy on missing class, quizzes, tests, etc.: In general, by signing up for this course you are expected to attend every day and be present for quizzes, tests, and class problems. If you plan to be absent and notify me in advance, I will try to help you plan ahead so you may study on your own. This is not a promise -- it depends on the reasonableness of your request and the timing involved in consideration of the rest of the class. Quizzes and tests are announced in advance. If you cannot attend class on the day of a quiz, don't worry, you get to drop your lowest quiz score. BUT, if you cannot attend class on the day of a test because of illness, YOU MUST CALL OR EMAIL ME BEFORE THE TEST. I will try to arrange a make-up test, providing that you return to class in a reasonable amount of time after being absent. Failure to call or email beforehand will result in a grade of 0 for the test (special circumstances may be considered). 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 two weeks of class. Final Note: Information in this syllabus may be modified during the quarter.
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