Approved at 2/21/07 University Studies Sub-committee. A2C2 action pending.
Math 120 Precalculus Fall 2006
Class times: 2:00 p.m. – 3:50 p.m. Gildemeister 3244:00 p.m. – 5:50 p.m. Gildemeister 324
Text: Stewart, J., Redlin, L., Watson, S. "Precalculus"
Instructor: Ryan Gegg-Harrison
Office Hours: Mondays & Wednesdays 11 a.m. – 12 p.m. and 1 p.m. – 3 p.m.
Tuesdays & Thursdays 8 a.m. – 10 a.m.
Office: Stark 209
Office Phone: 457 – 2609
Course Web Page(s):
http://classes.winona.edu/20073000516/ReadOnly/index.html - 2:00 p.m.
http://classes.winona.edu/20073000982/ReadOnly/index.html - 4:00 p.m.
Course Objective:
This course presents a study of topics designed to give students the skills necessary for successful completion of calculus. Equation solving, graphing, functions, and trigonometry are some of the main topics covered.
This course can be used to satisfy the University Studies requirements for Basic Skills in Mathematics. This course includes requirements and learning activities that promote students’ abilities to…
a. use logical reasoning by studying mathematical patterns and relationships;
Math 120 includes functional notation and identifies and uses the combination of functions, such as sums, products and compositions. Formulas are written that involve variation. Understanding the relation between exponential and logarithmic functions and the simplification of expressions using the trigonometric identities are covered.
b. use mathematical models to describe real-world phenomena and to solve real-world problems - as well as understand the limitations of models in making predictions and drawing conclusions;
Linear models for bivariate functions, exponential models for growth or decay, and periodic models with trigonometric functions are differentiated, studied and used. Properties of trigonometric quantities are examined by the use of the unit circle.
c. organize data, communicate the essential features of the data, and interpret the data in a meaningful way;
The domain and range of a function are found and functional notation is used to show the relation between variables. The average rate of change is calculated from a graph, a function or a table.
d. express the relationships illustrated in graphical displays and tables clearly and correctly in words;
The student is able to express solution sets correctly with a number line graph by using interval notation and inequalities. Students identify and express the characteristics of the graphs of powers, polynomials, rational functions, exponential, and trigonometric functions. This includes increasing/ decreasing intervals, curvature, local optima, long-term behavior of functions when given a function, a formula, or a graph. Explanations of how transformations change the characteristics of a function and graphing the transformed function are done.
Evaluation: Your grade will be determined based on points earned from homework/daily quizzes, labs, and exams. There will be a total of 400 course points which consists of 100 points from each of four parts of the course: the first 5 weeks, the second 5 weeks, the third five weeks and the final exam. The first, second and third 5 weeks will each have an exam worth 60 points, homework/weekly quizzes worth 25 points and a lab homework assignment worth 15 points. The final exam will be worth 100 points.
Exams - 45% (180 points)
Homework/Quizzes – 18.75% (75 points)
Lab Assignments – 11.25% (45 points)
Final – 25% (100 points)
Grading Scale:
90 – 100% A
80 –89% B
70 – 79% C
60 – 69% D
Below 60% F
Homework/Weekly Quizzes:
Daily homework will be assigned but not collected for grading. Weekly quizzes will be given which can include the submission of random individual homework problems for grading and also quiz questions similar to the homework problems. Every five weeks you can receive up to 25 points in Homework/Weekly Quiz points.
Exams: There will be a total of 4 exams in this course; 3 “Midterm” exams worth 60 points each, and a Final exam worth 100 points. There will be one 50 minute midterm exam every 5 weeks; exam dates will be announced in class.
Makeups: Make-up exams will not be granted except in the case of an emergency. In the situation of an emergency, the instructor must be notified prior to the exam in order to schedule a make-up. Whether a situation is an emergency or not is determined by the instructor.
Final Exam: The final exam is on Tuesday December 12th from 1:00 – 3:00 p.m. for the 2:00 p.m. section of Math 120
The final exam is on Tuesday December 12th from 3:30 – 5:30 p.m. for the 4:00 p.m. section of Math 120
Labs: There will be a total of 3 lab homework assignments; one every 5 weeks. Labs are additional homework assignments which will be graded. Labs will be worth 15 points each.
Late Work: No late work will be accepted for any reason.
Cheating: Collaboration on assigned problems, labs and in-class work is expected and encouraged. Quizzes and Exams are individual assessments for which any cheating will not be tolerated. On the first offense, all individuals involved will receive an F for the semester.
Disabilities Statement:
Students with disabilities are encouraged to advise me of any additional support that is required. You should also contact Disability Services at 457-2391
The policies and outline of this course are subject to change at the discretion of the instructor
Course Outline and Homework:
Week / Topics Covered / Homework1 / 1.1 – 1.5 / 1.1 – (7 – 53 Odd)
1.2 – (3, 5, 9, 11, 13, 17, 19, 27, 31, 37, 49, 51, 65, 67)
1.3 – (1 – 89 Every Other Odd)
1.4 – (5, 11, 29, 33, 40, 55, 59, 61, 65, 71, 73, 75)
1.5 – (3, 11, 15, 19, 21, 29, 33, 37, 43, 45, 49, 81)
2 / 1.6 – 1.8 / 1.6 – (11, 13, 25, 33, 36, 45, 47, 57, 59)
1.7 – (9, 15, 23, 29, 41, 45, 55, 57, 71, 81, 83)
1.8 – (5, 9, 19, 22, 29, 37, 41, 49, 55, 61, 67, 69, 71, 77, 79, 83)
3 / 2.1 – 2.3 / 2.1 – (11, 15, 21, 23, 25, 29, 45, 49, 53, 59)
2.2 – (3, 5, 7, 10, 11, 17, 23, 37, 41, 57, 61, 65, 71)
2.3 – (3, 7, 11, 15, 19, 23, 29, 32)
4 / 2.4 – 2.5 / 2.4 – (1, 3, 5, 7, 9, 13, 17, 21, 23, 29, 33)
2.5 – (1, 3, 5, 7, 9, 11, 15, 17, 19, 23, 25, 31, 35, 51, 52, 55)
5 / 2.6 – 2.7 / 2.6 – (1, 5, 9, 13, 19, 23, 27, 31, 37, 38, 40, 41)
2.7 – (1 – 33 Every Other Odd)
6 / 3.1 – 3.3 / 3.1 – (1, 5, 9, 11, 15, 19, 23, 27, 31, 35, 45, 57, 61, 65)
3.2 – (1, 5, 9, 11, 17, 23, 27, 33, 37, 39, 41, 43, 45, 47)
3.3 – (1, 3, 5 – 41 Every Other Odd, 47, 51, 55, 57, 63, 67, 71)
7 / 3.4 – 3.6 / 3.4 – No Book Homework
3.5 – No Book Homework
3.6 – (1, 3, 5, 7, 9, 13, 17, 19, 23, 25, 29, 33, 37, 41, 49, 53, 57)
8 / 4.1 – 4.2 / 4.1 – (1, 3, 5, 7, 11, 19, 23, 27, 31, 33, 35, 43)
4.2 – (1 – 13 Odd, 17, 21, 23, 27, 31, 33, 35, 45, 47, 51, 59, 61)
9 / 4.2 – 4.3 / 4.3 – (1 – 25 Every Other Odd, 27, 33, 39, 41, 45, 47, 49, 53)
10 / 4.4 – 4.5 / 4.4 – (1 – 25 Every Other Odd, 27, 31, 35, 41, 45, 49, 55, 57, 61)
4.5 – (1, 5, 9, 13, 15, 19, 27, 29, 35, 37)
11 / 5.1 – 5.3 / 5.1 – (1, 3, 5, 7, 11, 13, 19, 23, 25, 29, 33, 39)
5.2 – (1, 3, 7 – 55 Every Other Odd)
5.3 – (1, 3, 5, 9, 11, 15, 19, 23, 27, 31, 35, 39, 49, 51)
12 / 5.4, 6.1 – 6.2 / 5.4 – (1 – 45 Every Other Odd)
6.1 – (1, 7, 9, 15, 17, 21, 23, 27, 29, 33, 35, 39, 41, 45, 51, 65)
6.2 – (1 – 15 Odd, 21, 23, 27, 29, 36, 43, 47)
13 / 6.3 – 6.5 / 6.3 – (1, 3, 7, 11, 15, 25, 27, 31, 33, 35, 39, 41, 43, 47, 49)
6.4 – (5, 7, 13, 15, 21, 25, 27, 31)
6.5 – (3, 5, 11, 17, 19, 23, 29, 32, 39)
14 / 7.1 – 7.3 / 7.1 – To Be Determined
7.2 – To Be Determined
7.4 – To Be Determined
15 / Review / No Book Homework