8/28/2015
MATH201
Math 201. Introduction to proofs
Fall 2015 3.0 credits
Instructor: Alex Roitershtein
Office: 420 Carver Hall
Phone: (515) 294­ 8135 Email: roiterst@iastate.edu Office hours: TRF 10:00­11:00am, or by an appointment. Course webpage: http://www.public.iastate.edu/~roiterst/math201.html Class schedule: MWF 12:10­1:00pm, Carver 290.
Textbooks:
R. Hammack, Book of Proof, 2nd. ed. (referred as BP below).
J. Lebl, Basic Analysis: Introduction to Real Analysis (referred as BA below).
Topics to be covered: Math 201 covers parts of Chapters 1­13 in BP, together with parts of Chapters 1­3 in BA.
Find here a version of this syllabus for print.
Prerequisites: Proof experience in high school geometry, Calculus 165 and 166 are expected.
Course goals and objectives: We will learn various proof techniques including mathematical induction method while learning selected basic facts in set theory, elementary
number theory, combinatorial mathematics and calculus. We will learn and apply the methods of thought that mathematicians use to verify theorems, explore mathematical truth and create new
mathematical theories. This will prepare us for advanced mathematics courses, for we will be better able to understand proofs, write our own proofs and think
critically and inquisitively about mathematics.
Learning outcomes: By the end of this course, students will be able to read and write mathe­ matical proofs using logical reasoning, including quanti​
ers and truth
tables. They will understand the concept of a limit, continuity and the derivative related to calculus of one variable and will be able to know why
calculus is true.
Attendance:
It is expected that each of you will be present at all of the classes. Grading policy: Homework and attendance: 55% (8 best grades out of 9 assignments will be taken in account); Two in­class open­book exam and the final (not comprehensive), also in an open­book format: each one 15%. Translation from the percentage to the grade will be done according to the following key: A 91­100, A­ 86­90, B+ 81­85, B 76­80, B­ 71­75, C+ 66­70, C 61­65, C­ 56­60, D 50­55, F 00­49. Current grades will be posted on the course webpage.
Tests: All three tests will be held in an "open book" format. Samples will be posted approximately 10 days ahead of each test.
First exam (Mon, Sep 28) will cover the material of Chapters 1­7 in BP. Second exam (Wed, Nov 4) will cover the matrial of Chapters 8­13 in BP and Chapter 1 in BA (partially).
First exam will be held during the finals week. It will cover material of Chapters 1 (partially) and 2­3 from BA
Homework: Homework assignments will be given regularly, approximately once in a couple of weeks. There will be total of 9 hw. Only 8 best grades out of 9 will be taken in account. Slight variations of the assigned problems are likely to appear on the tests.
Solutions to homework will be posted on the course webpage.
Math help: Instructor's office hours Academic Success Center, 1076 Student Service Building, 294­6624 Student Support Services, 2010 Student Services Building, 294­0210.
Disabilities statement: It is Iowa State’s policy to help students with disabilities. Please contact me and/or Disability Resources Office, 1076 Student Services Building, 294­6624.
Important Math Department policies pertinent to the course file:///C:/Users/Family/Downloads/math201.html
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8/28/2015
MATH201
Please see the link to department course policies.
file:///C:/Users/Family/Downloads/math201.html
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