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SAMPLE PROGRAMS TO MAJOR IN MATHEMATICS
These Sample Programs provide guidelines to major in mathematics at Bryn Mawr from a few different perspectives. Certainly, in every case, there is substantial flexibility to tailor a course of study to fit an individual’s personal preferences and needs. This selection is by no means a complete picture of every alternative. A student can choose from a variety of options to fashion a program that suits her desires. Almost anything is possible in our mathematics department!
Please note that the annual Course Guide indicates exactly which course meets which Divisional Requirement by the use of Roman numerals I, II, and III. In all departments, many courses are offered every semester while some courses are offered only one of the two semesters each year, or even every other year. These factors must be taken into consideration in any long term planning. The illustrations available here can be ideal starting points to create your own perfect four-year curriculum!
LIST OF SAMPLE PROGRAMS:
General Plan
Starting with Calculus 2
Starting with Multivariable Calculus
AB/MA Program
Taking a Semester Abroad, starting with Calculus 1
Taking a Semester Abroad, starting with Calculus 2
Double Major in Mathematics and Physics
With Pre-Med
With Certification to Teach
With Minor in Computer Science
Double Major in Mathematics and Computer Science
Double Major in Mathematics and Geology
Double Major in Mathematics and Chemistry
Double Major in Mathematics and Sociology
Double Major in Mathematics and English
GENERAL PLAN
Note: Divisional requirements and electives can be interchanged among the various semesters to accommodate the student’s desires.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 101: Calculus I |
Math 102: Calculus II Division III *** requirement Elementary Language Division I* requirement |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra |
| Junior Year | Math 301: Real Analysis I Math 303: Abstract Algebra I Free Elective Free Elective |
Math 302: Real Analysis II |
| Senior Year | Math 398: Senior Conference Math Elective (200 or 300 level) Free Elective Free Elective |
Math Elective (200 or 300 level) |
All programs of study MUST be designed with the advice of a Major Advisor.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM TO MAJOR IN MATHEMATICS, STARTING WITH CALCULUS II
Note: Divisional requirements and electives can be interchanged among the various semesters to accommodate the student’s desires.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 102: Calculus II College Seminar Elementary Language Division I* requirement or Lab Science ** requirement |
Math 203: Linear Algebra |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 206: Transition to Higher Math (as math elective) Math Elective (200 level) Intermediate Language Division III*** requirement |
| Junior Year | Math 301: Real Analysis I Math 303: Abstract Algebra I Free Elective Free Elective |
Math 302: Real Analysis II Math Elective (200 or 300 level) Free Elective Free Elective |
| Senior Year | Math 398: Senior Conference Free Elective Free Elective Free Elective |
Math Elective (200 or 300 level) |
All programs of study MUST be designed with the advice of a Major Advisor.
Note: A student following this program should consider doing research and/or Honors in the senior year. Discuss this possibility with a Major Advisor early in the junior year.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM TO MAJOR IN MATHEMATICS, STARTING WITH MULTIVARIABLE CALCULUS
Note: Divisional requirements and electives can be interchanged among the various semesters to accommodate the student’s desires.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 201: Multivariable Calculus College Seminar Elementary Language Division I * requirement or Lab Science ** requirement |
Math 203: Linear Algebra |
| Sophomore Year | Math 301: Real Analysis I |
Math 302: Real Analysis II Division III*** requirement Intermediate Language Division I* requirement |
| Junior Year | Math Elective (200 or 300 level) Free Elective Free Elective Free Elective |
Math Elective (200 or 300 level) Free Elective Free Elective Free Elective |
| Senior Year | Math 398: Senior Conferences Free Elective Free Elective Free Elective |
Math Elective (200 or 300 level) |
All programs of study MUST be designed with the advice of a Major Advisor.
Note: A student following this program should consider doing research and/or Honors in the senior year. Discuss this possibility with a Major Advisor early in the junior year.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM TO MAJOR IN MATHEMATICS FOR AB/MA PROGRAM
Note: Divisional requirements and electives can be interchanged among the various semesters to accommodate the student’s desires.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra |
| Sophomore Year | Math 301: Real Analysis I |
Math 302: Real Analysis II Math 304: Abstract Algebra II (as math elective) Intermediate Language Division I* requirement |
| Junior Year | Math Elective (300 level) (to double count for AB & MA) Division III*** requirement Free Elective Free Elective |
Math 300 level Elective (to double count for AB & MA) Graduate Math Course (500 or 600 Level) Free Elective Free Elective |
| Senior Year | Math 398: Senior Conferences Graduate Math Course (500 or 600 level) Graduate Math 701: Supervised Work (Thesis) |
Graduate Math 701: Supervised Work (Thesis) |
All programs of study MUST be designed with the advice of a Major Advisor.
This plan assumes some AP or IB credits transferred toward the BMC degree.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM TO MAJOR IN MATHEMATICS TAKING A SEMESTER ABROAD
(starting with Calculus I)
Note: Divisional requirements and electives can be interchanged among the various semesters to accommodate the student’s desires.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 101: Calculus I College Seminar Elementary Language Division I * requirement or Lab Science ** requirement |
Math 102: Calculus II |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra Math 206: Transition to Higher Math (as math elective) Intermediate Language Free Elective |
| Junior Year | Math 303: Abstract Algebra I Math Elective (200 or 300 level) Free Elective Free Elective |
SEMESTER AWAY (Free Electives) |
| Senior Year | Math 301: Real Analysis I Math 398: Senior Conference Math Elective (200 or 300 level) Free Elective |
Math 302: Real Analysis II |
All programs of study MUST be designed with the advice of a Major Advisor.
NOTE: Meeting with a Mathematics Major Advisor as early as possible can increase the options available.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM TO MAJOR IN MATHEMATICS TAKING A SEMESTER ABROAD
(starting with Calculus II)
Note: Divisional requirements and electives can be interchanged among the various semesters to accommodate the student’s desires.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 102: Calculus II College Seminar Elementary Language Division I * requirement or Lab Science ** requirement |
Math 203: Linear Algebra |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 206: Transition to Higher Math (as math elective) Math Elective (200 level) Intermediate Language Division III*** requirement |
| Junior Year | Math 303: Abstract Algebra I Math Elective (200 or 300 Level) Free Elective Free Elective |
SEMESTER AWAY (Free Electives) |
| Senior Year | Math 301: Real Analysis I Math 398: Senior Conferences Free Elective Free Elective |
Math 302: Real Analysis II |
All programs of study MUST be designed with the advice of a Major Advisor.
NOTE: Meeting with a Mathematics Major Advisor as early as possible can increase the options available.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
NOTE: Meeting with a Mathematics Major Advisor as early as possible can increase the options available.
SAMPLE PROGRAM TO DOUBLE MAJOR IN MATHEMATICS AND PHYSICS
(starting with Calculus II)
Note: Divisional requirements and electives can be interchanged among the various semesters to accommodate the student’s desires.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 102: Calculus II Physics 103: Foundations I College Seminar Elementary Language |
Math 203: Linear Algebra |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 206: Transition to Higher
Math (as math elective) Physics 215: Special Relativity, Electromagnetism, and Particle Physics Physics 206: Mathematical Methods in the Physical Sciences I Intermediate Language |
| Junior Year | Math 301: Real Analysis I |
Math 302: Real Analysis II Math Elective (200 or 300 level) Physics Elective (300 level) Division III*** requirement |
| Senior Year | Math 398: Senior Conference Physics Elective (300 level) Free Elective Free Elective |
Math Elective (200 or 300 level) |
YOU MUST MEET WITH MAJOR ADVISORS IN BOTH DEPARTMENTS.
Some suggested courses to fulfill remaining Math Electives are Math 312 Topology and
Math 322 Functions of Complex Variables.
Note: Lab Science, Division II, and Quantitative are automatically satisfied.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM TO MAJOR IN MATHEMATICS AND DO PRE-MED
Note: This plan allows the student to have a “glide year” after graduation, before entering medical school. It is entirely possible to design a program of study that permits the student to enter medical school immediately upon graduation from Bryn Mawr. See a Health Professions Advisor for details
| Fall Semester | Spring Semester | |
| Freshman Year | Math 101: Calculus I |
Math 102: Calculus II |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra Math 206: Transition to Higher Math (as math elective) Chem 104: General Chemistry II Intermediate Language |
| Junior Year | Math 301: Real Analysis I |
Math 302: Real Analysis II Math Elective (200 or 300 level) Chem 212: ** Organic Chemistry II Division I* requirement |
| Senior Year | Math 398: Senior Conference Math Elective (200 or 300 level) Physics 101: Intro Physics I Free Elective |
Math Elective (200 or 300 level) |
All programs of study MUST be designed with the advice of a Mathematics Major Advisor and a Health Professions Advisor. Students should also refer to the Health Professions web site at: www.brynmawr.edu/healthpro.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
** Organic Chemistry may also be taken in the summer to allow greater scheduling flexibility.
Note: Many medical schools have additional science requirements beyond these basic courses.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
ΔDivision III: One of the two Division III requirements MUST be an English course.
Note: Lab Science, Division II, and Quantitative requirements are automatically satisfied.
SAMPLE PROGRAM TO MAJOR IN MATHEMATICS WITH CERTIFICATION TO TEACH
Note: This plan needs one additional course, other than those outlined here, to reach the total number of course units required for the BMC degree. If you have an AP credit, then this plan is complete.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 101: Calculus I College Seminar Elementary Language Lab Science** requirement |
Math 102: Calculus II |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra Math 206: Transition to Higher Math (as math elective) Division III*** requirement Intermediate Language |
| Junior Year | Math 301: Real Analysis I |
Math 302: Real Analysis II Math Elective (200 or 300 level) Math Elective (200 or 300 level) Free Elective |
| Senior Year | Math 398: Senior Conference Math Elective (200 or 300 level) Education 301: Curriculum & Pedagogy Seminar Special Elective ≠ |
Education 302: Practice Teaching Seminar |
Programs of study MUST be designed with the advice of a Major Advisor in Mathematics and with another advisor from the Education Program.
≠ Special Elective to be chosen from list in Undergraduate Catalog.
Suggested Mathematics Electives are as follows: Probability: BMC 205 or HC 218;
Discrete Math: BMC 231; Geometry: BMC 221 or HC 205b.
Note: Division I and Quantitative requirements are automatically satisfied.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
Δ Division III: One of the two Division III requirements MUST be an English course. American
Literature or English Literature is recommended.
SAMPLE PROGRAM TO MAJOR IN MATHEMATICS and MINOR in COMPUTER SCIENCE
Note: Divisional requirements and electives can be interchanged among the various semesters to accommodate the student’s desires.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 101: Calculus I CS 110: Intro. to Computer Science College Seminar Elementary Language |
Math 102: Calculus II |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra Math 206: Transition to Higher Math (as math elective) CS 206: Data Structures Intermediate Language |
| Junior Year | Math 301: Real Analysis I |
Math 302: Real Analysis II Math Elective (200 or 300 level) Computer Science ElectiveΔ Division III*** requirement |
| Senior Year | Math 398: Senior Conference Computer Science Elective (any at BMC or HVD) Free Elective Free Elective |
Math Elective (200 or 300 level) |
YOU MUST MEET WITH MAJOR ADVISORS IN BOTH DEPARTMENTS.
ΔComputer Science Electives must be chosen from the following list:
CS240, CS245, CS246, CS340, CS345.
Note: The following Computer Science courses double count for the major in Mathematics and the minor in Computer Science: CS231: Discrete Mathematics; CS340 Analysis of Algorithms; and
CS345 Theory of Computation.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM TO DOUBLE MAJOR IN MATHEMATICS AND COMPUTER SCIENCE
Note: Divisional requirements and electives can be interchanged among the various semesters to accommodate the student’s desires.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 101: Calculus I CS 110: Intro. to Computer Science College Seminar Elementary Language |
Math 102: Calculus II |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra Math 206: Transition to Higher Math (as math elective) Computer Science Elective Intermediate Language |
| Junior Year | Math 301: Real Analysis I |
Math 302: Real Analysis II CS 355: Operating Systems Division I* requirement Division III*** requirement |
| Senior Year | Math 398: Senior Conference Math 303: Abstract Algebra I CS 340 or CS 345 (counts as math elective) Computer Science Elective |
Math Elective (200 or 300 level) |
YOU MUST MEET WITH MAJOR ADVISORS IN BOTH DEPARTMENTS.
Note: The following Computer Science courses double count for the major in Mathematics and the major in Computer Science:
CS231: Discrete Mathematics; CS340 Analysis of Algorithms; and
CS345 Theory of Computation.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM TO DOUBLE MAJOR IN MATHEMATICS AND GEOLOGY
Note: Divisional requirements and electives can be interchanged among the various semesters to accommodate the student’s desires.
| Fall Semester | Spring Semester | |
| Freshman Year | Math 101: Calculus I Geology 101: How the Earth Works College Seminar Elementary Language |
Math 102: Calculus II |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra Math 206: Transition to Higher Math (as math elective) Chemistry or Physics course Δ Intermediate Language |
| Junior Year | Math 301: Real Analysis I |
Math 302: Real Analysis II Geology 204: Structural Geology Division I* requirement Division III*** requirement |
| Senior Year | Math 398: Senior Conference Math 303: Abstract Algebra I Geology 403: Independent Research (Thesis Project) Math Elective (200 or 300 level) |
Math Elective (200 or 300 level) |
YOU MUST MEET WITH MAJOR ADVISORS IN BOTH DEPARTMENTS.
Δ Chemistry 103 followed by Chemistry 104, OR Physics 103 followed by Physics 104.
Note: CS110 Introduction to Computer Science is strongly recommended.
Note: Lab Science, Division II, and Quantitative are automatically satisfied.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM DOUBLE MAJOR IN MATHEMATICS AND CHEMISTRY
| Fall Semester | Spring Semester | |
| Freshman Year | Math 101: Calculus I Chemistry 103: General Chemistry I College Seminar Intermediate Language ≠ |
Math 102: Calculus II |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra Math 206: Transition to Higher Math (as math elective) Chemistry 212: Organic Chemistry II Physics 104: Foundations II |
| Junior Year | Math 301: Real Analysis I |
Math 302: Real Analysis II Math Elective (200 or 300 level) Chemistry Core Course Δ (no lab) Division I* requirement Chemistry 252: (half credit lab) |
| Senior Year | Math 398: Senior Conference Chemistry Core Course Δ (no lab) Chemistry Elective # (no lab) Free Elective |
Math Elective (200 or 300 level) |
YOU MUST MEET WITH MAJOR ADVISORS IN BOTH DEPARTMENTS.
≠ If student must begin with Elementary Language, instead of Intermediate Language, then 2 courses
should be taken during summer (i.e., Chemistry 211-212).
Δ Chemistry Core Courses: Choose 2 from the following 3: Chemistry 222, 231, or 242.
# Chemistry Electives should be chosen from Chemistry 311, 312, 321, 322, 332, 345, or any 500
level Chemistry course. (Chemistry 321 will count as Math Elective.)
Some suggested Math Electives are Math 210, Math 251 or Math 351, Math 312.
Note: Lab Science, Division II, and Quantitative are automatically satisfied.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM DOUBLE MAJOR IN MATHEMATICS AND SOCIOLOGY
| Fall Semester | Spring Semester | |
| Freshman Year | Math 101: Calculus I College Seminar Division III *** requirement Elementary Language |
Math 102: Calculus II |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra Math 206: Transition to Higher Math (as math elective) Sociology 265: Research Design and Statistical Analysis Intermediate Language |
| Junior Year | Math 301: Real Analysis I |
Math 302: Real Analysis II Math Elective (200 or 300 level) Sociology Elective Δ Sociology Elective Δ |
| Senior Year | Math 398: Senior Conference Sociology 398: Senior Seminar Math Elective (200 or 300 level) Sociology Elective Δ |
Math Elective (200 or 300 level) |
YOU MUST MEET WITH MAJOR ADVISORS IN BOTH DEPARTMENTS.
Note: Two (2) of the Math courses count as allied work for the Sociology Major.
Δ Sociology Electives: Of the 4 Sociology Electives, at least one must be at the 300 level.
Note: Division I and Quantitative are automatically satisfied.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
***Division III: Humanities includes Archaeology, Classical Studies, Comparative Literature, Dance, English, Fine Arts, Foreign Languages, History, History of Art, Music, Philosophy, Religion, Theatre, and Writing.
SAMPLE PROGRAM DOUBLE MAJOR IN MATHEMATICS AND ENGLISH
| Fall Semester | Spring Semester | |
| Freshman Year | Math 101: Calculus I College Seminar Division I* requirement Elementary Language |
Math 102: Calculus II |
| Sophomore Year | Math 201: Multivariable Calculus |
Math 203: Linear Algebra Math 206: Transition to Higher Math (as math elective) English 250: Methods of Literary Study Intermediate Language |
| Junior Year | Math 301: Real Analysis I |
Math 302: Real Analysis II Math Elective (200 or 300 level) English Elective Δ English Elective Δ |
| Senior Year | Math 398: Senior Conference English 398: Senior Seminar Math Elective (200 or 300 level) English Elective Δ |
Math Elective (200 or 300 level) |
YOU MUST MEET WITH MAJOR ADVISORS IN BOTH DEPARTMENTS.
Δ English Electives: Of the 8 English Electives, at least 2 must be at the 300 level (not counting
English 398 or 399).
Note: Division III and Quantitative are automatically satisfied.
*Division I: Social Sciences include Anthropology, Economics, Education, History, Political Science, Psychology, and Sociology.
**Division II: Natural Sciences and Mathematics include Biology, Chemistry, Computer Science, Geology, Mathematics, Physics, and Psychology.
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