Nelson Mathematics Probability And Statistics 1 Pdf
DECLARATION
To declare a major in mathematics, a student must have completed the sequence MATH 221, MATH 222, and MATH 234, or the sequenceMATH 375 and MATH 376, with a 2.500 GPA or better. Major advisors may waive this requirement for students with alternative coursework and experiences (e.g., transfer students). Students should meet with a math advisor before declaring in order to discuss course selection and major plan. Advising information can be found in the Advising and Careers link.
On This Page
- University General Education Requirements
- College of Letters & Science Degree Requirements: Bachelor of Science (B.S.)
- Requirements for the Major
- Residence and Quality of Work
- Named Options
- Honors in the Major
- Footnotes
- University Degree Requirements
University General Education Requirements
All undergraduate students at the University of Wisconsin–Madison are required to fulfill a minimum set of common university general education requirements to ensure that every graduate acquires the essential core of an undergraduate education. This core establishes a foundation for living a productive life, being a citizen of the world, appreciating aesthetic values, and engaging in lifelong learning in a continually changing world. Various schools and colleges will have requirements in addition to the requirements listed below. Consult your advisor for assistance, as needed. For additional information, see the university Undergraduate General Education Requirements section of the Guide.
| Requirements | Detail |
|---|---|
| General Education |
* The mortarboard symbol appears before the title of any course that fulfills one of the Communication Part A or Part B, Ethnic Studies, or Quantitative Reasoning Part A or Part B requirements. |
College of Letters & Science Degree Requirements: Bachelor of Science (B.S.)
Students pursuing a Bachelor of Science degree in the College of Letters & Science must complete all of the requirements below. The College of Letters & Science allows this major to be paired with either the Bachelor of Arts or the Bachelor of Science degree requirements.
Bachelor of Science DEGREE REQUIREMENTS
| Requirements | Detail |
|---|---|
| Mathematics | Complete two courses of 3+ credits at the Intermediate or Advanced level in MATH, COMP SCI, or STAT subjects. A maximum of one course in each of COMP SCI and STAT subjects counts toward this requirement. |
| Foreign Language | Complete the third unit of a foreign language. |
| L&S Breadth | Complete: • 12 credits of Humanities, which must include at least 6 credits of Literature; and • 12 credits of Social Science; and • 12 credits of Natural Science, which must include 6 credits of Biological Science and 6 credits of Physical Science. |
| Liberal Arts and Science Coursework | Complete at least 108 credits. |
| Depth of Intermediate/Advanced Coursework | Complete at least 60 credits at the Intermediate or Advanced level. |
| Major | Declare and complete at least one major. |
| Total Credits | Complete at least 120 credits. |
| UW-Madison Experience | Complete both: • 30 credits in residence, overall, and • 30 credits in residence after the 86th credit. |
| Quality of Work | • 2.000 in all coursework at UW–Madison • 2.000 in Intermediate/Advanced level coursework at UW–Madison |
Non–L&S Students PURSUING AN L&S MAJOR
Non–L&S students who have permission from their school/college to pursue an additional major within L&S only need to fulfill the major requirements. They do not need to complete the L&S Degree Requirements above.
Requirements for the Major
The mathematics major requirements include exposure to at least two areas of advanced mathematics. The program is ideal for any student who has a broad interest in mathematics both pure and applied and functions well as a standalone or complementary program.
Mathematics Major requirements
Seven MATH courses totaling at least 21 credits are required for the major as follows1:
| Code | Title | Credits |
|---|---|---|
| Linear Algebra (complete one): 2 | 3 | |
| MATH 341 | Linear Algebra | |
| or MATH 320 | Linear Algebra and Differential Equations | |
| or MATH 340 | Elementary Matrix and Linear Algebra | |
| or MATH 375 | Topics in Multi-Variable Calculus and Linear Algebra | |
| Analysis, Topology, Algebra (complete two): | 6 | |
| MATH 521 | Analysis I | |
| MATH 541 | Modern Algebra | |
| MATH 551 | Elementary Topology | |
| Advanced MATH Elective (complete one): | 3 | |
| MATH/COMP SCI 513 | Numerical Linear Algebra | |
| MATH/COMP SCI 514 | Numerical Analysis | |
| MATH 519 | Ordinary Differential Equations | |
| MATH 521 | Analysis I | |
| MATH 522 | Analysis II | |
| MATH/COMP SCI/I SY E/STAT 525 | Linear Optimization | |
| MATH 531 | Probability Theory | |
| MATH 535 | Mathematical Methods in Data Science | |
| MATH 540 | Linear Algebra II | |
| MATH 541 | Modern Algebra | |
| MATH 542 | Modern Algebra | |
| MATH 551 | Elementary Topology | |
| MATH 552 | Elementary Geometric and Algebraic Topology | |
| MATH 561 | Differential Geometry | |
| MATH 567 | Modern Number Theory | |
| MATH 570 | Fundamentals of Set Theory | |
| MATH/PHILOS 571 | Mathematical Logic | |
| MATH 605 | Stochastic Methods for Biology | |
| MATH 606 | ||
| MATH 607 | Topics in Mathematics Study Abroad | |
| MATH 608 | Mathematical Methods for Physical Modeling in Biology | |
| MATH/B M I/BIOCHEM/BMOLCHEM 609 | Mathematical Methods for Systems Biology | |
| MATH 619 | Analysis of Partial Differential Equations | |
| MATH 621 | Analysis III | |
| MATH 623 | Complex Analysis | |
| MATH 627 | Introduction to Fourier Analysis | |
| MATH 629 | Introduction to Measure and Integration | |
| MATH/I SY E/OTM/STAT 632 | Introduction to Stochastic Processes | |
| MATH 635 | An Introduction to Brownian Motion and Stochastic Calculus | |
| MATH/E C E 641 | Introduction to Error-Correcting Codes | |
| MATH 681 | Senior Honors Thesis | |
| MATH 682 | Senior Honors Thesis | |
| MATH 691 | Undergraduate Thesis | |
| MATH 692 | Undergraduate Thesis | |
| MATH 698 | Directed Study | |
| MATH 699 | Directed Study | |
| Additional MATH Elective to achieve 7 courses and 21 credits in the major 2 | 9 | |
| MATH/STAT 309 | Introduction to Probability and Mathematical Statistics I 3 | |
| or MATH 331 | An Introduction to Probability and Markov Chain Models | |
| or MATH/STAT 431 | Introduction to the Theory of Probability | |
| MATH/STAT 310 | Introduction to Probability and Mathematical Statistics II | |
| MATH 319 | Techniques in Ordinary Differential Equations 4 | |
| or MATH 320 | Linear Algebra and Differential Equations | |
| or MATH 376 | Topics in Multi-Variable Calculus and Differential Equations | |
| MATH 321 | Applied Mathematical Analysis | |
| MATH 322 | Applied Mathematical Analysis | |
| MATH 407 | Topics in Mathematics Study Abroad | |
| MATH 415 | Applied Dynamical Systems, Chaos and Modeling | |
| MATH 421 | The Theory of Single Variable Calculus | |
| MATH/COMP SCI/I SY E 425 | Introduction to Combinatorial Optimization | |
| MATH/COMP SCI/E C E 435 | Introduction to Cryptography | |
| MATH 441 | Introduction to Modern Algebra | |
| MATH 443 | Applied Linear Algebra | |
| MATH 461 | College Geometry I | |
| MATH 467 | Introduction to Number Theory | |
| MATH/HIST SCI 473 | History of Mathematics | |
| MATH/COMP SCI/STAT 475 | Introduction to Combinatorics | |
| MATH 490 | Undergraduate Seminar | |
| MATH 491 | Topics in Undergraduate Mathematics | |
| MATH/COMP SCI 513 | Numerical Linear Algebra | |
| MATH/COMP SCI 514 | Numerical Analysis | |
| MATH 519 | Ordinary Differential Equations | |
| MATH 521 | Analysis I | |
| MATH 522 | Analysis II | |
| MATH/COMP SCI/I SY E/STAT 525 | Linear Optimization | |
| MATH 531 | Probability Theory | |
| MATH 535 | Mathematical Methods in Data Science | |
| MATH 540 | Linear Algebra II | |
| MATH 541 | Modern Algebra | |
| MATH 542 | Modern Algebra | |
| MATH 551 | Elementary Topology | |
| MATH 552 | Elementary Geometric and Algebraic Topology | |
| MATH 561 | Differential Geometry | |
| MATH 567 | Modern Number Theory | |
| MATH 570 | Fundamentals of Set Theory | |
| MATH/PHILOS 571 | Mathematical Logic | |
| MATH 605 | Stochastic Methods for Biology | |
| MATH 606 | ||
| MATH 607 | Topics in Mathematics Study Abroad | |
| MATH 608 | Mathematical Methods for Physical Modeling in Biology | |
| MATH/B M I/BIOCHEM/BMOLCHEM 609 | Mathematical Methods for Systems Biology | |
| MATH 619 | Analysis of Partial Differential Equations | |
| MATH 621 | Analysis III | |
| MATH 623 | Complex Analysis | |
| MATH 627 | Introduction to Fourier Analysis | |
| MATH 629 | Introduction to Measure and Integration | |
| MATH/I SY E/OTM/STAT 632 | Introduction to Stochastic Processes | |
| MATH 635 | An Introduction to Brownian Motion and Stochastic Calculus | |
| MATH/E C E 641 | Introduction to Error-Correcting Codes | |
| MATH 681 | Senior Honors Thesis | |
| MATH 682 | Senior Honors Thesis | |
| MATH 691 | Undergraduate Thesis | |
| MATH 692 | Undergraduate Thesis | |
| MATH 698 | Directed Study | |
| MATH 699 | Directed Study | |
| Total Credits | 21 | |
Residence and Quality of Work
- 2.000 GPA in all MATH and major courses.
- 2.000 GPA on 15 upper-level major credits, taken in residence.5
- 15 credits in MATH, taken on the UW–Madison campus.
Named Options
-
Mathematics: Mathematics for Data and Risk Analysis
-
Mathematics: Mathematics for Economics and Finance
-
Mathematics: Mathematics for Programming and Computing
-
Mathematics: Mathematics for Secondary Education
-
Mathematics: Mathematics for the Physical and Biological Sciences
Honors in the Major
Students may declare Honors in the Major in consultation with the Mathematics Honors advisor; this should be done by the start of the junior year. Honors in the major is not available in any Named Option program.
Honors in the Mathematics Major Requirements
To earn Honors in the Major, students must satisfy both the requirements for the mathematics major (above) and the following additional requirements:
- Earn a 3.300 University GPA
- Earn a 3.300 GPA for all MATH courses, and all courses accepted in the major
- Complete the following courses, with individual grades of B or better:
| Code | Title | Credits |
|---|---|---|
| MATH 521 | Analysis I and Analysis II (Taken for Honors) 6 | |
| MATH 541 | Modern Algebra and Modern Algebra (Taken for Honors) 6 | |
| Select at least two more courses from MATH 500 through MATH/E C E 641. These course must be taken for honors. The following will usually be one of the courses: 7 | ||
| MATH 551 | Elementary Topology | |
| Select one of these Capstone projects: | ||
| MATH 681 | Senior Honors Thesis and Senior Honors Thesis (For a total of 6 credits) | |
| or | ||
| 7 | ||
Footnotes
University Degree Requirements
| Requirements | Detail |
|---|---|
| Total Degree | To receive a bachelor's degree from UW–Madison, students must earn a minimum of 120 degree credits. The requirements for some programs may exceed 120 degree credits. Students should consult with their college or department advisor for information on specific credit requirements. |
| Residency | Degree candidates are required to earn a minimum of 30 credits in residence at UW–Madison. "In residence" means on the UW–Madison campus with an undergraduate degree classification. "In residence" credit also includes UW–Madison courses offered in distance or online formats and credits earned in UW–Madison Study Abroad/Study Away programs. |
| Quality of Work | Undergraduate students must maintain the minimum grade point average specified by the school, college, or academic program to remain in good academic standing. Students whose academic performance drops below these minimum thresholds will be placed on academic probation. |
- State, explain, and apply the principal results, definitions, and theorems of a wide collection of mathematical areas including at least one area of advanced undergraduate mathematics.
- Construct and evaluate mathematical proofs and arguments.
- Acquire a diverse set of skills and strategies in mathematical reasoning/problem solving.
- Use mathematics to model and analyze phenomena in other disciplines.
- Write, explain, and present mathematics to both experts and non-experts.
Sample Four-Year Plan
This Sample Four-Year Plan is a tool to assist students and their advisor(s). Students should use it—along with their DARS report, the Degree Planner, and Course Search & Enroll tools—to make their own four-year plan based on their placement scores, credit for transferred courses and approved examinations, and individual interests. As students become involved in athletics, honors, research, student organizations, study abroad, volunteer experiences, and/or work, they might adjust the order of their courses to accommodate these experiences. Students will likely revise their own four-year plan several times during college.
Mathematics Major - Bachelor of Arts/Science Degree
| Freshman | |||
|---|---|---|---|
| Fall | Credits | Spring | Credits |
| MATH 2211,2 | 5 | MATH 2222 | 4 |
| Communication A | 3 | Ethnic Studies | 3 |
| Foreign Language (if needed) | 4 | Foreign Language (if needed) | 4 |
| Literature Breadth | 3 | Literature Breadth | 3 |
| 15 | 14 | ||
| Sophomore | |||
| Fall | Credits | Spring | Credits |
| MATH 234 | 4 | MATH 341 | 3 |
| Communication B | 3 | Intermediate MATH3 | 3 |
| Humanities Breadth | 3 | Humanities Breadth | 3 |
| Physical Science Breadth | 3 | Physical Sciences Breadth | 3 |
| Elective | 3 | Elective | 3 |
| 16 | 15 | ||
| Junior | |||
| Fall | Credits | Spring | Credits |
| Intermediate MATH3 | 3 | Intermediate MATH3 | 3 |
| Social Sciences Breadth | 3 | Advanced MATH4 | 3 |
| Biological Sciences Breadth | 3 | Social Sciences Breadth | 3 |
| Elective | 3 | Biological Sciences Breadth | 3 |
| Elective | 3 | Elective | 3 |
| 15 | 15 | ||
| Senior | |||
| Fall | Credits | Spring | Credits |
| Advanced MATH4 | 3 | Advanced MATH4 | 3 |
| Social Science Breadth | 3 | Social Sciences Breadth | 3 |
| Elective | 3 | Elective | 3 |
| Elective | 3 | Elective | 3 |
| Elective | 3 | Elective | 3 |
| 15 | 15 | ||
| Total Credits 120 | |||
Sample Three-Year Plan
This Sample Three-Year Plan is a tool to assist students and their advisor(s). Students should use it —along with their DARS report, the Degree Planner, and Course Search & Enroll tools — to make their own three-year plan based on their placement scores, credit for transferred courses and approved examinations, and individual interests.
Three-year plans may vary considerably from student to student, depending on their individual preparation and circumstances. Students interested in graduating in three years should meet with an advisor as early as possible to discuss feasibility, appropriate course sequencing, post-graduation plans (careers, graduate school, etc.), and opportunities they might forgo in pursuit of a three-year graduation plan.
Departmental Expectations
Historically, students who have successfully complete a three year undergraduate degree with a major in Mathematics have the following qualifications: a minimum of 29 advanced standing credits, which include completion of the following with either course credit or via placement examination:
- MATH 221 and MATH 222
- Communication Part A
- 3-4 units of foreign language
Therefore the plan below assumes these requirements, but none other. When considering the plan below, students should note the following:
- Advanced standing credits may satisfy Ethnic Studies, Communication Part B, and/or Letters & Science Breadth degree requirements which are listed in the plan. In this case, students should adjust their plan by reorganizing the remaining degree requirements using the following priorities: 1) Ethnic Studies and Communication Part B (obligatory in the first year); 2) Physical, Biological, and Social Science Breadth (which may be prerequisites for more advanced electives); 3) Humanities and Literature. Remaining schedule space should be considered electives.
- At least 26 of the non-MATH credits must be at the Intermediate or Advanced level.
- Consider using the elective space in the plan as follows: additional major or certificate, career readiness, graduate school preparation, and other personal interests.
| First Year | |||
|---|---|---|---|
| Fall | Credits | Spring | Credits |
| MATH 234 | 4 | MATH Linear Algebra | 3 |
| Ethnic Studies | 3 | Intermediate MATH | 3 |
| Communication B | 3 | Physical Science Breadth | 3 |
| Biological Science Breadth | 3 | Biological Science Breadth | 3 |
| Physical Science Breadth | 3 | Foreign Language (if needed for the B.A.) or Elective | 3 |
| 16 | 15 | ||
| Second Year | |||
| Fall | Credits | Spring | Credits |
| Intermediate MATH | 3 | Advanced MATH | 3 |
| Intermediate MATH | 3 | Literature Breadth | 3 |
| Literature Breadth | 3 | Social Science Breadth | 3 |
| Social Science Breadth | 3 | Elective (Intermediate or Advanced level) | 6 |
| Elective (Intermediate or Advanced level) | 3 | ||
| 15 | 15 | ||
| Third Year | |||
| Fall | Credits | Spring | Credits |
| Advanced MATH | 3 | Advanced MATH | 3 |
| Social Science Breadth | 3 | Humanities Breadth (Intermediate or Advanced level) | 3 |
| Humanities Breadth | 3 | Social Science Breadth (Intermediate or Advanced level) | 3 |
| Elective (Intermediate or Advanced level) | 6 | Elective (Intermediate or Advanced level) | 6 |
| 15 | 15 | ||
| Total Credits 91 | |||
Advising
Students who are interested in the math major should visit a faculty advisor. During the fall and spring semesters faculty advisors have regular office hours. Students are encouraged to make appointments, but drop in advising is also welcome. During the winter break and the summer semester there are no fixed advising hours. Students should contact one of the advisors directly to set up an appointment. The current list of advisors, their schedule of office hours, and available appointments can be found at the Math advising page.
For advice on college algebra, pre-calculus, and calculus, see the placement advising pages of the department.
Transition courses
All majors are required to complete at least one of the following. It is suggested that majors (and those interested in the major) complete such a course as soon in their academic career as possible.
| Code | Title | Credits |
|---|---|---|
| MATH 341 | Linear Algebra | |
| MATH 321 | Applied Mathematical Analysis and Applied Mathematical Analysis | |
| MATH 375 | Topics in Multi-Variable Calculus and Linear Algebra | |
| MATH 421 | The Theory of Single Variable Calculus | |
| MATH 467 | Introduction to Number Theory |
Graduate Study
Students preparing for graduate work in mathematics should take the following courses:
| Code | Title | Credits |
|---|---|---|
| MATH 341 | Linear Algebra | 3 |
| or MATH 375 | Topics in Multi-Variable Calculus and Linear Algebra | |
| MATH 521 | Analysis I | 3 |
| MATH 522 | Analysis II | 3 |
| MATH 541 | Modern Algebra | 3 |
| MATH 542 | Modern Algebra | 3 |
| MATH 551 | Elementary Topology | 3 |
| or MATH 561 | Differential Geometry | |
| Select at least two other courses at the 500 level or higher | ||
Students who plan to enter a mathematics Ph.D. program should acquire a reading knowledge of at least one foreign language as early as possible. For mathematics study, the most useful languages are French, German, and Russian.
Careers
In recent years graduating math majors have obtained employment in a variety of jobs in business, industry, and governmental agencies and also have obtained teaching positions at the secondary school level (such teaching positions normally require teaching certification). Others have continued their education at the graduate level in mathematics and other fields. Departments in a variety of fields which use mathematics, including the social and biological sciences as well as in engineering and the physical sciences, are interested in attracting math majors into their graduate programs. Math Ph.D.'s obtain academic positions at the college and university level and nonacademic positions entailing consulting and research. The math major requirements are flexible enough to allow preparation for various goals.
L&S career resources
SuccessWorks at the College of Letters & Science helps students leverage the academic skills learned in their major, certificates, and liberal arts degree; explore and try out different career paths; participate in internships; prepare for the job search and/or graduate school applications; and network with professionals in the field (alumni and employers). In short, SuccessWorks helps students in the College of Letters & Science discover themselves, find opportunities, and develop the skills they need for success after graduation.
SuccessWorks can also assist students in career advising,résumé and cover letter writing, networking opportunities, and interview skills, as well as course offerings for undergraduates to begin their career exploration early in their undergraduate career.
Students should set up their profiles in Handshake to take care of everything they need to explore career events, manage their campus interviews, and apply to jobs and internships from 200,000+ employers around the country.
- SuccessWorks
- Set up a career advising appointment
- INTER-LS 210 L&S Career Development: Taking Initiative (1 credit, targeted to first- and second-year students)—for more information, see Inter-LS 210: Career Development, Taking Initiative
- INTER-LS 215 Communicating About Careers (3 credits, fulfills Com B General Education Requirement)
- Handshake
- Learn how we're transforming career preparation: L&S Career Initiative
Professors:
Anderson, David F (Undergraduate Director)
Angenent, Sigurd B.
Arinkin, Dima
Caldararu, Andrei
Craciun, Gheorghe
Denisov, Sergey
Ellenberg, Jordan
Feldman, Mikhail
Gong, Xianghong
Kent, Autumn Exum
Lempp, Steffen
Mari-Beffa, Gloria
Maxim, Laurentiu
Miller, Joseph S
Paul, Sean T
Poltoratski, Alexei
Roch, Sebastien
Seeger, Andreas
Seppalainen, Timo (Chair)
Smith, Leslie M.
Stechmann, Sam
Street, Brian Thomas
Terwilliger, Paul M.
Thiffeault, Jean-Luc
Valko, Benedek (Associate Chair)
Waleffe, Fabian
Yang, Tonghai
Associate Professors:
Andrews, Uri
Dymarz, Tullia Maria
Erman, Daniel M
Gorin, Vadim
Gurevich, Shamgar
Ifrim, Mihaela
Kim, Chanwoo
Li, Qin
Marshall, Simon Lindsay
Soskova, Mariya
Spagnolie, Saverio
Stovall, Betsy (Graduate Director)
Tran, Hung Vinh
Assistant Professors:
Chen, Gao
Chen, Nan
Cochran, Amy
Guo, Shaoming
Kemeny, Michael L J
Rodriguez, Jose Israel
Shen, Hao
Wang, Botong
Zepeda-Nunez, Leonardo
Shankar, Ananth
Shcherbyna, Tetyana
Shen, Hao
Waldron, Alex
Wu, Chenxi
Zepeda-Nunez, Leonardo
Zimmer, Andrew
Academic staff:
Benguria Depassier, Soledad (Calculus Coordinator)
Grizzard, Robert (Associate Director for Instructional Programs)
Hanhart, Alexander (Associate Undergraduate Director)
Kwon, Oh Hoon (Math Education Coordinator)
Lindsey, Melissa (Associate Director for Instructional Support)
Sukiennik, Justin (Precalculus Coordinator and WisCel)
Rineck, Leah (Math Learning Center Director)
Enrollment Coordinator:
Kyle Martinez
Nelson Mathematics Probability And Statistics 1 Pdf
Source: https://guide.wisc.edu/undergraduate/letters-science/mathematics/mathematics-bs/
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