Greetings. Welcome to the first course in OSU’s
mathematics sequence for future middle
school mathematics teachers! We are very pleased to to offer a 6-course
mathematics
sequence de signed especially for your professional needs. It is our hope that
the text and
materials you use in this sequence will become important resources in
mathematics for you
throughout your professional life.
Grading. Your grades will be based on the following:
• 40% for homework.
• 60% for exams.
Final grades will be based on the following:
The meeting time will depend on the section you are enrolled in:
|
Section |
Days/Time |
Location |
11
12 |
TuTh 12:30–1:18
TuTh 1:30–2:18 |
Cockins Hall 228
Cockins Hall 228 |
Homework. On Friday of each week, you should hand
in your solutions for the problems
assigned in the previous Friday -Monday-Wednesday classes. See the homework
rubric for
more information on how your homework will be graded.
Exams/Final. There will be three exams in the
course. They are scheduled for October
16th, November 13th, and December 4th. Make-ups for mid terms for students with
excused
absences will be given during the regularly scheduled hour for finals for this
course, namely,
Tuesday, December 8th, 1:30-3:18 PM. There will be no final exam from this
course.
Students with Disabilities. Any student with a documented disability
needing academic
adjustments or accommodations is requested to speak with me during the first
week of class.
Please contact the Office for Disability Services at 614-292-3307 in 150
Pomerene Hall to
coordinate reasonable accommodations. All discussions will remain confidential.
Course Overview. Here is a rough estimate of what we will be
covering in lecture on a
day-by-day basis:
(1) The Counting Numbers, mathematical induction (1.8) (2.4; 2a,2c,2e,2i,2j)
(2) Structure of the Integers, Fundamental Theorem of Arithmetic (2.5) (2.6;
1,2,3c,4b,4d,4g)
(3) Division with remainders (3.1)(3.2;1,2,3,5)
(4) The Euclidean algorithm (3.2;7,10,11)
(5) LCM and GCD (2.8;1a,1d,1e,2e,8e)(3.3;1)
(6) Structure of the Rational Number System (Handouts)
(7) Meanings of operations with fractions (Handouts)
(8) Representing fractions in lowest terms, uniqueness of representation
(Handouts)
(9) Solving linear equations in the integers and rationals (3.3; find all the
rational solutions
to 4a, then find all integer solutions, same for 4b, same for 4c)
(10) Review
(11) First exam Friday, October 16th
(12) Algebra with polynomials in (positive) powers of x (Handouts)
(13) Algebra with polynomials in ( positive and negative ) powers of x (Handouts)
(14) Decimal representation of fractions (6.3;1,2,3)
(15) Rational and irrational numbers (6.3;4,5,6)
(16) Structure of the Real Number System (Handouts)
(17) Polynomials with real coefficients, the quadratic formula (Handouts)
(18) Structure of the Complex Number System, complex conjugation (Handouts)
(19) Fundamental theorem of algebra, factoring polynomials with real
coefficients (Handouts)
(20) Systems of linear equations with real coefficients (6.4; 1,3a,3e)
(21) Polynomial curve fitting (6.5; 1b,1c,1e)
(22) Second exam Friday, November 13th
(23) Matrix arithmetic (6.6; 1a,1b,1c,4b)
(24) Solving matrix equations (6.7; 1,2,3)
(25) Using matrices to solve systems of linear equations (6.7; 4,5,6)
(26) Return to mathematical induction (1.8; 1f,1g)
(27) Binomial coefficients , Pascals triangle (1.9; 1a,1b,3,5)
(28) The binomial theorem (1.10; 1a,1c,2,3)
(29) Review
(30) Third exam Friday, December 4th
