Download Mathematics Department Discrete Mathematics Course Syllabus

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Mathematics Department
Discrete Mathematics
Course Syllabus
Instructor: Lisa Novalis
e-mail: [email protected]
Phone: 973-228-1200 X789
A. Grading Policy – course work will be graded as follows:
a. Summative Assessments (test, quizzes, projects) – 90% of grade
b. Formative Assessments (homework) – 10% of grade
c. All grades should be verified in Genesis on a regular basis
B. Classroom
a. Rules of Conduct
i. Follow all rules as stated in student handbook
ii. Come prepared to class with all required materials
iii. No food or drinks in classroom
iv. No cell phone in class
b. Required Material
i. Textbook
ii. Pencils
iii. Graphing calculator
iv. Three ring binder/ Spiral Notebook with Folders
c. Homework
i. All homework will be posted on the teacher’s school website
ii. Homework will not be accepted late unless the student has
been absent and/or has a medical excuse
iii. Missed homework should be made-up for understanding of
d. After School Help
i. Available Tuesdays, Wednesdays, Thursdays
ii. Will notify students if I cannot stay on a particular day
e. Attendance
i. Follow all rules as stated in student handbook
ii. One day to make up work for every day absent
iii. Work assigned prior to absence(s) will be due on the first day
f. Academic Integrity
i. Students are to hand-in their own work
1. Receiving assistance is different from copying
ii. Cheating will result in a zero on the assessment and a call
home to the parent
C. Course Description
Discrete mathematics explores the arrangement of distinct objects and is
used for decision making. Our focus will be on enhancing your problem
solving skills and ability to analyze and utilize numbers to make reasonable
decisions. The goal of the course is to provide an extension of previously
learned skills up to and including Algebra II. The course also includes a
strong development of trigonometry, probability, statistics and provides a
good preparation for college entrance exams in mathematics.
D. Course Objectives
a. The student will be provided a review and extension of certain
algebraic and geometric concepts.
i. How can formulas be manipulated to solve for specific
ii. How can you use lines to represent and analyze data?
iii. How can you apply geometric concepts to real life situations
and modeling?
iv. How can you reason quantitatively and use units to solve
v. What is a function?
vi. What is the domain and range of a function?
vii. How do you graph quadratic functions?
viii. How do you use an appropriate factoring technique to factor
expressions completely?
ix. How can you find approximate solutions for the intersections
of linear functions?
x. How can you use matrices to solve systems of equations?
b. The student will be introduced to trigonometry.
i. How can you develop and apply the definitions of
trigonometric ratios for the acute angles of a right triangle, the
relationship between the sine and cosine of complementary
angles, and the Pythagorean Theorem on right triangles in
applied problems?
ii. How can you use radian measure of an angle?
iii. How can you explain how the unit circle in the coordinate
plane enables the extension of trigonometric functions to all
real numbers?
iv. How can you construct trigonometric functions that model
periodic phenomena with specified amplitude, frequency and
c. The student will be able to draw inferences and conclusions from
i. How are Venn diagrams used to analyze data?
ii. How does set theory help solve survey design and
interpretation problems?
iii. How do you summarize, represent, and interpret data on a
single count or measurement variable, and two categorical and
quantitative variables?
iv. How do you make inferences and justify conclusions from
sample surveys, experiments and observational studies?
v. How can you use independence and conditional probability
and use them to interpret data?
vi. How can you use the rules of probability to compute
probabilities of compound events in a uniform probability
vii. How can you calculate expected values and use them to solve
viii. How can you use probability to evaluate outcomes of
ix. What are the applications of geometric probability?
x. What is a binomial probability distribution?
xi. How is the binomial probability distribution use to solve
d. The student will be introduced to exponential and logarithmic
functions and their graphs.
i. How are the properties of exponents used to simplify
ii. What are logarithms?
iii. How do you graph exponential and logarithmic functions,
showing intercepts and end behavior?
iv. How are exponential and logarithmic functions used in real
e. The student will be prepared for further study in mathematics and
focus on developing problem-solving skills.
i. How can you make sense of problems and persevere in solving
ii. How do you reason abstractly and quantitatively?
iii. How can you construct viable arguments and critique the
reasoning of others?
iv. How do you model with mathematics?
v. How do you use appropriate tools strategically?
vi. How do you attend to precision?
vii. How can you look for and make use of structure?
viii. How can you look for and express regularity in repeated
E. Text(s)/resources/Software:
Miller, C.D., et al, Mathematical Ideas – 11th Edition, Pearson AddisonWesley, © 2008
TI-83/84 Plus calculator
SmartBoard and its Tools (Math, Notebook and Responders)
TI SmartView interactive software for TI-84