CalendarsSpring HalfTerm, 1999 (May 3 – June 22, 1999)

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Take me to the Spring HalfTerm '99 Time Schedule for Mathematics.
Elementary Mathematics Courses. In order to accommodate diverse backgrounds and interests, several course options are available to beginning mathematics students. All courses require three years of high school mathematics; four years are strongly recommended and more information is given for some individual courses below. Students with College Board Advanced Placement credit and anyone planning to enroll in an upperlevel class should consider one of the Honors sequences and discuss the options with a mathematics advisor.
Students who need additional preparation for calculus are tentatively identified by a combination of the math placement test (given during orientation), college admissions test scores (SAT or ACT), and high school grade point average. Academic advisors will discuss this placement information with each student and refer students to a special mathematics advisor when necessary.
Two courses preparatory to the calculus, Math 105 and Math 110, are offered. Math 105 is a course on data analysis, functions and graphs with an emphasis on problem solving. Math 110 is a condensed halfterm version of the same material offered as a selfstudy course through the Math Lab and directed towards students who are unable to complete a first calculus course successfully. A maximum total of 4 credits may be earned in courses numbered 110 and below. Math 103 is offered exclusively in the Summer halfterm for students in the Summer Bridge Program.
Math 127 and 128 are courses containing selected topics from geometry and number theory, respectively. They are intended for students who want exposure to mathematical culture and thinking through a single course. They are neither prerequisite nor preparation for any further course. No credit will be received for the election of Math 127 or 128 if a student already has received credit for a 200 (or higher) level mathematics course.
Each of Math 115, 185, and 295 is a first course in calculus and generally credit can be received for only one course from this list. The sequence 115116215 is appropriate for most students who want a complete introduction to calculus. One of Math 215, 285, or 395 is prerequisite to most more advanced courses in Mathematics.
The sequences 156255256, 175176285286, 185186285286, and 295296395396 are Honors sequences. All students must have the permission of an Honors advisor to enroll in any of these courses, but they need not be enrolled in the LS&A Honors Program. All students with strong preparation and interest in mathematics are encouraged to consider these courses; they are both more interesting and more challenging than the standard sequences.
Math 185285 covers much of the material of Math 115215 with more attention to the theory in addition to applications. Most students who take Math 185 have taken a high school calculus course, but it is not required. Math 175176 assumes a knowledge of calculus roughly equivalent to Math 115 and covers a substantial amount of socalled combinatorial mathematics (see course description) as well as calculusrelated topics not usually part of the calculus sequence. Math 175 and 176 are taught by the discovery method: students are presented with a great variety of problems and encouraged to experiment in groups using computers. The sequence Math 295396 provides a rigorous introduction to theoretical mathematics. Proofs are stressed over applications and these courses require a high level of interest and commitment. Most students electing Math 295 have completed a thorough high school calculus course. The student who completes Math 396 is prepared to explore the world of mathematics at the advanced undergraduate and graduate level.
Students with strong scores on either the AB or BC version of the College Board Advanced Placement exam may be granted credit and advanced placement in one of the sequences described above; a table explaining the possibilities is available from advisors and the Department. In addition, there are two courses expressly designed and recommended for students with one or two semesters of AP credit, Math 119 and Math 156. Both will review the basic concepts of calculus, cover integration and an introduction to differential equations, and introduce the student to the computer algebra system MAPLE. Math 119 will stress experimentation and computation, while Math 156 is an Honors course intended primarily for science and engineering concentrators and will emphasize both applications and theory. Interested students should consult a mathematics advisor for more details.
In rare circumstances and with permission of a Mathematics advisor reduced credit may be granted for Math 185 or 295 after Math 115. A list of these and other cases of reduced credit for courses with overlapping material is available from the Department. To avoid unexpected reduction in credit, students should always consult an advisor before switching from one sequence to another. In all cases a maximum total of 16 credits may be earned for calculus courses Math 115 through Math 396, and no credit can be earned for a prerequisite to a course taken after the course itself.
Students completing Math 116 who are principally interested in the application of mathematics to other fields may continue either to Math 215 (Analytic Geometry and Calculus III) or to Math 216 (Introduction to Differential Equations) – these two courses may be taken in either order. Students who have greater interest in theory or who intend to take more advanced courses in mathematics should continue with Math 215 followed by the sequence Math 217316 (Linear AlgebraDifferential Equations). Math 217 (or the Honors version, Math 513) is required for a concentration in Mathematics; it both serves as a transition to the more theoretical material of advanced courses and provides the background required for optimal treatment of differential equations in Math 316. Math 216 is not intended for mathematics concentrators.
A maximum total of 4 credits may be earned in Mathematics courses numbered 110 and below. A maximum total of 16 credits may be earned for calculus courses Math 112 through Math 396, and no credit can be earned for a prerequisite to a course taken after the course itself.
Prerequisites & Distribution: Four years of high school mathematics. See Elementary Courses above. Credit usually is granted for only one course from among Math. 112, 115, 185, and 295. No credit granted to those who have completed Math. 175. (4). (MSA). (BS). (QR/1).
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Prerequisites & Distribution: Math. 115. Credit is granted for only one course from among Math. 116, 119, 156, 176, 186, and 296. (4). (MSA). (BS). (QR/1).
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Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. (4). (MSA). (BS). (QR/1).
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Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. (4). (MSA). (BS). (QR/1).
Credits: (4).
Course Homepage: http://www.math.lsa.umich.edu/~jdean/215/
Background and Goals. See Math 115. Content. Topics include vector algebra and vector functions; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; line, surface, and volume integrals and applications; vector fields and integration; Green's Theorem and Stokes' Theorem. There is a weekly lab using MAPLE.
LABORATORY: in the lab you will be using the computer program maple as a tool to visualize 2d and 3d geometric phenomena. Participation in the laboratory (which is required) will improve your understanding of the concepts as well as your overall performance in the course. Exams will include material that is closely tied to the lab work.
Part of your work in the lab will involve completing the projects described in the course pack. These projects are due at the beginning of your lab hour. No late lab projects will be accepted.
You must have the course pack when you attend the first lab meeting.
HOMEWORK: I will hand out a list of homework problems from the text. This daily homework will not be collected, but is an essential part of the course. Doing the homework conscientiously is the best way to learn the material.
GRADING: Your grade will be determined as follows:
EXAMS AND QUIZZES: The midterm exam will be given during class on Friday, May 28. The final exam is on Monday, June 21 from 4 to 6 p.m. There will be a short quiz at least once per week. The quizzes will be similar to the assigned homework problems.
Texts:
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Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. (4). (MSA). (BS).
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Prerequisites & Distribution: Math. 385 and enrollment in the Elementary Program in the School of Education. (13). (Excl). (EXPERIENTIAL). May be repeated for a total of three credits.
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Prerequisites & Distribution: (16). (Excl). (INDEPENDENT). May be repeated for credit.
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Prerequisites & Distribution: Three courses beyond Math. 110. No credit granted to those who have completed or are enrolled in 217, 419, or 513. (3). (Excl). (BS).
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Prerequisites & Distribution: Three courses beyond Math. 110. No credit granted to those who have completed or are enrolled in 217, 419, or 513. (3). (Excl). (BS).
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Prerequisites & Distribution: Math. 215, 255, or 285. (3). (MSA). (BS).
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Prerequisites & Distribution: Math. 215 and one course beyond Math. 215; or Math. 255 or 285. Intended for concentrators; other students should elect Math. 450. (3). (Excl). (BS).
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Prerequisites & Distribution: Math. 216, 256, 286, or 316. Students with credit for Math. 354 can elect Math. 454 for one credit. (3). (Excl). (BS).
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Prerequisites & Distribution: Math. 385 or 485. May not be used in any graduate program in mathematics. (3). (Excl).
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Prerequisites & Distribution: Math. 450 or 451. (3). (Excl). (BS).
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Prerequisites & Distribution: Math. 217, 417, or 419. (3). (Excl). (BS).
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Take me to the Spring/Summer Term '99 Time Schedule for Mathematics.
Prerequisites & Distribution: (16). (Excl). (INDEPENDENT). May be repeated for credit.
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Prerequisites & Distribution: Only open to designated summer halfterm Bridge students. (2). (Excl).
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Prerequisites & Distribution: Students with credit for Math. 103 can elect Math. 105 for only 2 credits. No credit granted to those who have completed any Mathematics course numbered 110 or higher. (4). (MSA). (QR/1).
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Prerequisites & Distribution: Four years of high school mathematics. See Elementary Courses above. Credit usually is granted for only one course from among Math. 112, 115, 185, and 295. No credit granted to those who have completed Math. 175. (4). (MSA). (BS). (QR/1).
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Prerequisites & Distribution: Math. 115. Credit is granted for only one course from among Math. 116, 119, 156, 176, 186, and 296. (4). (MSA). (BS). (QR/1).
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Prerequisites & Distribution: Math. 115. Credit is granted for only one course from among Math. 116, 119, 156, 176, 186, and 296. (4). (MSA). (BS). (QR/1).
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Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. (4). (MSA). (BS). (QR/1).
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Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. (4). (MSA). (BS).
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Prerequisites & Distribution: Math. 116, 119, 156, 176, 186, or 296. (4). (MSA). (BS).
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Prerequisites & Distribution: (16). (Excl). (INDEPENDENT). May be repeated for credit.
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Prerequisites & Distribution: Three courses beyond Math. 110. No credit granted to those who have completed or are enrolled in 217, 419, or 513. (3). (Excl). (BS).
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Prerequisites & Distribution: Four terms of college mathematics beyond Math 110. No credit granted to those who have completed or are enrolled in 217 or 513. One credit granted to those who have completed Math. 417. (3). (Excl). (BS).
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Prerequisites & Distribution: Math. 215, 255, or 285. (3). (MSA). (BS).
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Prerequisites & Distribution: Math. 216, 256, 286, or 316. (4). (Excl). (BS).
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Prerequisites & Distribution: Math. 216, 256, 286, or 316; and 217, 417, or 419; and a working knowledge of one highlevel computer language. (3). (Excl). (BS).
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Prerequisites & Distribution: One year of high school algebra. No credit granted to those who have completed or are enrolled in 385. (2). (Excl). (BS). May not be included in a concentration plan in mathematics.
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