NJIT Academic Integrity CODE: All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.
Number of Credits: 3
Course Description: Linear functions, equations, inequalities, systems of linear equations, quadratic equations, elementary functions, graphing functions. Effective From: Fall 2012
Prerequisites: None
Textbook: Precalculus - A Right Triangle Approach by Ratti and McWaters, 2nd Edition, ISBN-10: 0-321-64470-0.
Software:
ALEKS www.aleks.com
For ALEKS Help (click here)
Instructor: (for specific course-related information, follow the link below)
Math 107-002 |
|
Math 107-004 |
|
Math 107-006 |
|
Math 107-008 |
|
Math 107-010 |
|
Math 107-014 |
|
Math 107-102 |
|
Math 107-104 |
Grading Policy: The final grade in this course will be determined as follows:
▪ Quizzes (work at home): |
10% |
▪ ALEKS: |
20% |
▪ Exam: |
70% |
Your final letter grade will be
based on the following tentative scale. To pass this class with a
C or better your overall average must be at least 65% AND you need
to earn at least 60% on
one of the exams.
NOTE: You need to earn
a grade of C or better in this course to proceed to
Math 113,
Math 135
or
Math 138.
You need to earn a grade of A
in this course to proceed to Math 139
A |
90-100 |
C |
65-74 |
B+ |
85-89 |
D |
55-64 |
B |
80-84 |
F |
0-54 |
C+ |
75-79 |
|
|
Drop Date: Please note that the University Drop Date March 26, 2013 deadline will be strictly enforced.
Format of class:
The day sections meet twice a week. One of the two meetings will
be in a computer laboratory. The night section meets once a week
with appropriate access to a laboratory. The students will
work on problems in ALEKS. The instructor will be present during
this time to assist the students. The other meeting will be in a
regular classroom. Attendance at all meetings is mandatory.
ALEKS:
All students are required to do practice problems via the ALEKS
online software at
www.aleks.com. Students need to meet weekly goals
– finish a certain number of topics in each module by the date
specified in the course outline below. After working on each
module the students will be given a test which confirms mastery
of topics in each module. Occasionally ALEKS may automatically
give a progress assessment to each student to confirm mastery of
the topics. Each instructor will provide a class code for the
students to sign up for their own ALEKS class.
Quizzes/Homework: Every week the students are responsible to hand in to their instructors the solutions to the self-assessments posted online (click here for the link to math 107 Self Assessment). The instructors will return the work to students who will be responsible for keeping all of their work in a portfolio. The goal of a portfolio is to see how much progress the student has made throughout the semester and to prepare for the exams. There are four parts to every quiz: review problems, basic knowledge, intermediate knowledge, and advanced knowledge. The table below shows the highest grade a student can receive when completing individual parts:
Quiz parts |
Highest possible grade to get |
Review problems |
F (20%) |
Review problems + Basic knowledge |
C (74%) |
Review pr. + Basic kn. + Intermediate kn. |
B (84%) |
All problems |
A (100%) |
Exams:
There are two mid-semester exams and one final exam. All exams
are common to all sections of this course. The material on all
exams is similar. The
exams are designed so that they test students' knowledge
acquired through working on self-assessment quizzes and problems
in ALEKS. The exams will take place on the following dates:
Exam 1:
February 27, 2013
Exam 2:
March 27, 2013
Final Exam Week:
May 9-15, 2013
The time of the midterm exams is 4:15-5:40 pm and
5:45-7:10 pm for evening students. The final exam will test your knowledge of all the course material taught in the entire course.
Make sure you read and fully understand the department's
Examination Policy.
This policy will be
strictly enforced. Please note that electronic devices (such as calculators, cell phones, CD players,
etc.) are not allowed during any exam. Please refer to
the registrar's website for the official date and time of each exam
at http://www.njit.edu/registrar/exams/index.php
Makeup Exam Policy: There will be NO MAKE-UP EXAMS during the semester. In case because of special circumstances a student cannot take an exam, the student must notify the Math Department Office and the instructor that he/she will miss the exam and present written verifiable proof of the reason for missing the exam, e.g., a doctor’s note, police report, court notice, etc., clearly stating the date AND time of the conflicting circumstances.. In the event the final exam is not taken, under rare circumstances where the student has a legitimate reason for missing the exam, a makeup exam will be administered by the math department.
Attendance: Attendance at all classes (both lecture and recitation) will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.
Further Assistance: For further questions, students should contact their Instructor. All Instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.
Tutoring:
If the students require extra help with the covered material
they can visit the math department's tutoring center in Culm
214. There is also tutoring available in
CAPE
located in KUPF 200.
Cellular Phones: All cellular phones and beepers must be switched off during all class times.
MATH DEPARTMENT CLASS POLICIES LINK
All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.
M |
Dr. Martin Luther King, Jr. Day ~ University Closed |
|
Su-Su |
Spring Recess ~ No Classes Scheduled ~ University Open |
|
T |
Last Day to Withdraw from this course |
|
F |
Good Friday ~ University Closed |
|
T |
Classes follow a Friday Schedule, Last Day of Classes |
|
W |
Reading Day |
|
T-W |
Final Exams |
Course Outline and Homework Assignments:
NOTE: The course outline below specifies which section of the textbook contains the given ALEKS topic.
Week |
ALEKS modules and topics |
Textbook (Ratti) section |
|
Monday, January 21 –
MLK DAY – no classes |
|
Weeks 1, 2 |
Module #1 (38 topics, due on 02/04/13): |
|
|
Exponents and integers: Problem type
1 |
P2 |
|
Exponents and integers: Problem type
2 |
P2 |
|
Exponents and order of operations |
P1,P2 |
|
Evaluating a linear expression in two
variables |
P1 |
|
Evaluating a quadratic expression in
one variable |
P1, P2 |
|
Signed fraction addition: Basic |
P1 |
|
Signed fraction multiplication:
Advanced |
P1 |
|
Complex fractions without variables:
Problem type 2 |
P1 |
|
Plotting a point in the coordinate
plane |
2.1 |
|
Solving a linear equation with
several occurrences of the variable: Variables on both
sides and fractional coefficients |
1.1 |
|
Solving a linear equation with
several occurrences of the variable: Variables on both
sides and distribution |
1.1 |
|
Solving a linear equation with
several occurrences of the variable: Variables on both
sides and two distributions |
1.1 |
|
Solving a linear equation with
several occurrences of the variable: Fractional forms
with binomial numerators |
1.1 |
|
Solving equations with zero, one, or
infinitely many solutions |
1.1 |
|
Simple absolute value equation |
1.7 |
|
Algebraic symbol manipulation:
Problem type 1 |
1.1 |
|
Algebraic symbol manipulation:
Problem type 2 |
1.1 |
|
Solving a word problem with two
unknowns using a linear equation |
1.1 |
|
Solving a fraction word problem using
a linear equation with the variable on both sides |
1.1 |
|
Finding the perimeter or area of a
rectangle given one of these values |
1.1,P7 |
|
Solving a linear inequality: Problem
type 2 |
1.6 |
|
Degree and leading coefficient of a
polynomial in one variable |
P3 |
|
Combining like terms: Advanced |
P3 |
|
Simplifying a sum or difference of
three univariate polynomials |
P3 |
|
Multiplying a monomial and a
polynomial: Univariate with positive leading
coefficients |
P3 |
|
Multiplying binomials with leading
coefficients of 1 |
P3 |
|
Squaring a binomial: Univariate |
P3 |
|
Multiplying conjugate binomials:
Univariate |
P3 |
|
Multiplying binomials in two
variables |
P3 |
|
Greatest common factor of two
monomials |
P4 |
|
Factoring a quadratic with leading
coefficient 1 |
P4 |
|
Factoring a quadratic with leading
coefficient greater than 1 |
P4 |
|
Factoring a quadratic polynomial in
two variables |
P4 |
|
Factoring a difference of squares |
P4 |
|
Factoring with repeated use of the
difference of squares formula |
P4 |
|
Factoring out a monomial from a
polynomial: Univariate |
P4 |
|
Factoring a product of a quadratic
trinomial and a monomial |
P4 |
|
Factoring a polynomial by grouping:
Problem type 2 |
P4 |
Week 3 |
Module #2 (20 topics, due on 02/11/13): |
|
|
Adding rational expressions with
common denominators |
P5 |
|
Adding rational expressions with
different denominators: Multivariate |
P5 |
|
Adding rational expressions with
different denominators: ax, bx |
P5 |
|
Adding rational expressions with
different denominators: x+a, x+b |
P5 |
|
Adding rational expressions with
different denominators: Quadratic |
P5 |
|
Simplifying a ratio of polynomials:
Problem type 1 |
P5 |
|
Simplifying a ratio of polynomials:
Problem type 2 |
P5 |
|
Multiplying rational expressions:
Problem type 1 |
P5 |
|
Multiplying rational expressions:
Problem type 2 |
P5 |
|
Dividing rational expressions:
Problem type 1 |
P5 |
|
Dividing rational expressions:
Problem type 2 |
P5 |
|
Complex fraction: Problem type 1 |
P5 |
|
Complex fraction: Problem type 3 |
P5 |
|
Complex fraction: Problem type 4 |
P5 |
|
Solving a rational equation that
simplifies to a linear equation: Problem type 1 |
1.1 |
|
Solving a rational equation that
simplifies to a linear equation: Problem type 2 |
1.1 |
|
Solving a rational equation that
simplifies to a linear equation: Problem type 3 |
1.1 |
|
Solving a rational equation that
simplifies to a linear equation: Problem type 4 |
1.1 |
|
Evaluating expressions with exponents
of zero |
P2 |
|
Evaluating numbers with negative
exponents |
P2 |
Week 4 |
Module #3 (27 topics, due on 02/18/13): |
|
|
Product rule with positive exponents |
P2 |
|
Product rule with negative exponents |
P2 |
|
Quotients of expressions involving
exponents |
P2 |
|
Quotient rule with negative
exponents: Problem type 1 |
P2 |
|
Power rule with positive exponents |
P2 |
|
Power rule with negative exponents:
Problem type 1 |
P2 |
|
Power rule with negative exponents:
Problem type 2 |
P2 |
|
Using the power and product rules to
simplify expressions with positive exponents |
P2 |
|
Using the power, product, and
quotient rules to simplify expressions with negative
exponents |
P2 |
|
Square root of a perfect square
monomial |
P6 |
|
Simplifying a radical expression:
Problem type 1 |
P6 |
|
Simplifying a radical expression:
Problem type 2 |
P6 |
|
Square root addition |
P6 |
|
Simplifying a sum of radical
expressions |
P6 |
|
Square root multiplication |
P6 |
|
Simplifying a product of radical
expressions |
P6 |
|
Simplifying a product of radical
expressions using the distributive property |
P6 |
|
Special products with square roots:
Conjugates and squaring |
P6 |
|
Rationalizing the denominator of a
radical expression |
P6 |
|
Rationalizing the denominator of a
radical expression using conjugates |
P6 |
|
Simplifying a higher radical: Problem
type 1 |
P6 |
|
Simplifying a higher radical: Problem
type 2 |
P6 |
|
Rational exponents: Basic |
P6 |
|
Rational exponents: Negative
exponents and fractional bases |
P6 |
|
Rational exponents: Products and
quotients |
P6 |
|
Rational exponents: Powers of powers |
P6 |
|
Converting between radical form and
exponent form |
P6 |
Week 5 |
Module #4 (22 topics, due on 02/25/13): |
|
|
Plotting a point in the coordinate
plane |
2.1 |
|
Pythagorean Theorem |
P7 |
|
Area of a triangle |
P7 |
|
Circumference and area of a circle |
P7 |
|
Area between two rectangles |
P7 |
|
Area between two concentric circles |
P7 |
|
Area involving rectangles and circles |
P7 |
|
Area involving inscribed figures |
P7 |
|
Volume of a rectangular prism |
P7 |
|
Volume of a cylinder |
P7 |
|
Volume of a sphere |
P7 |
|
Surface area of a cube or a
rectangular prism |
P7 |
|
Surface area of a cylinder |
P7 |
|
Surface area of a sphere |
P7 |
|
Set builder and interval notation |
P1 |
|
Union and intersection of finite sets |
P1 |
|
Union and intersection of intervals |
P1 |
|
Identifying functions from relations |
2.4 |
|
Determining whether an equation
defines a function |
2.4 |
|
Vertical line test |
2.4 |
|
Evaluating functions: Problem type 1 |
2.4 |
|
Evaluating functions: Problem type 2 |
2.4 |
Week 6 |
Review for Exam 1 |
|
|
Exam 1 –
Wednesday, February 27 |
|
Week 7 |
Module #5 (22 topics, due on 03/11/13): |
|
|
Variable expressions as inputs of
functions |
2.4 |
|
Domain and range from ordered pairs |
2.4 |
|
Domain of a square root function |
2.4, 2.6 |
|
Domain of a rational function |
2.4, 3.6 |
|
Finding the domain of a fractional
function involving radicals |
2.4 |
|
Graphing a line given its equation in
slope-intercept form |
2.3 |
|
Graphing a line given its equation in
standard form |
2.3 |
|
Graphing a line through a given point
with a given slope
|
2.3 |
|
Graphing a vertical or horizontal
line |
2.3 |
|
Finding x- and y-intercepts of a line
given the equation: Advanced |
2.3 |
|
Finding slope given the graph of a
line on a grid |
2.3 |
|
Finding slope given two points on the
line |
2.3 |
|
Finding the slope of a line given its
equation |
2.3 |
|
Writing an equation of a line given
the y-intercept and another point |
2.3 |
|
Writing the equation of a line given
the slope and a point on the line |
2.3 |
|
Writing the equation of the line
through two given points |
2.3 |
|
Writing the equations of vertical and
horizontal lines through a given point |
2.3 |
|
Slopes of parallel and perpendicular
lines: Problem type 1 |
2.3 |
|
Slopes of parallel and perpendicular
lines: Problem type 2 |
2.3 |
|
Finding intercepts and zeros of a
function given the graph |
2.4 |
|
Finding x- and y-intercepts of the
graph of a nonlinear equation |
2.2 |
|
Domain and range from the graph of a
continuous function
|
2.4,2.5 |
Week 8 |
Module #6 (20 topics, due on 03/25/13): |
|
|
Testing an equation for symmetry
about the axes and origin |
2.2 |
|
Even and odd functions |
2.5 |
|
Writing an equation for a function
after a vertical translation
|
2.7 |
|
Writing an equation for a function
after a vertical and horizontal translation |
2.7 |
|
Translating the graph of a function:
One step |
2.7 |
|
Translating the graph of a function:
Two steps |
2.7 |
|
Transforming the graph of a function
by reflecting over an axis |
2.7 |
|
Transforming the graph of a function
by shrinking or stretching |
2.7 |
|
Transforming the graph of a function
using more than one transformation |
2.7 |
|
Graphing a parabola of the form y =
ax^2 |
2.7, 3.1 |
|
Graphing a simple cubic function |
2.6,2.7 |
|
Graphing a function involving a
square root |
2.6,2.7 |
|
Graphing an equation involving
absolute value in the plane: Advanced |
2.6,2.7 |
|
Choosing a graph to fit a narrative |
2.7 |
|
Finding the roots of a quadratic
equation with leading coefficient 1 |
1.4 |
|
Finding the roots of a quadratic
equation with leading coefficient greater than 1 |
1.4 |
|
Solving a quadratic equation needing
simplification |
1.4 |
|
Solving a rational equation that
simplifies to a quadratic equation: Problem type 1 |
1.5 |
|
Solving a rational equation that
simplifies to a quadratic equation: Problem type 2 |
1.5 |
|
Solving a rational equation that
simplifies to a quadratic equation: Problem type 3 |
1.5 |
Week 9 |
Spring Recess – March 17 – 24 |
|
Week 10 |
Review
for Exam 2 |
|
|
Exam 2 –
Wednesday, March 27 |
|
|
March 26 – withdrawal deadline |
|
|
March 29 – Good Friday – No Classes |
|
Week 11 |
Module #7 (25 topics, due on 04/08/13): |
|
|
Completing the square |
1.4 |
|
Solving a quadratic equation by
completing the square |
1.4 |
|
Solving a word problem using a
quadratic equation with rational roots |
1.4 |
|
Solving a word problem using a
quadratic equation with irrational roots |
1.4 |
|
Range of a quadratic function |
3.1 |
|
Finding the maximum or minimum of a
quadratic function |
3.1 |
|
Word problem using the maximum or
minimum of a quadratic function |
3.1 |
|
Finding the x-intercept(s) and the
vertex of a parabola |
3.1 |
|
Rewriting a quadratic function to
find the vertex of its graph |
3.1 |
|
Graphing a parabola of the form y =
(x-a)^2 + c |
3.1 |
|
Graphing a parabola of the form y =
ax^2 + bx + c: Integer coefficients |
3.1 |
|
How the leading coefficient affects
the shape of a parabola |
3.1 |
|
Writing the equation of a quadratic
function given its graph |
3.1 |
|
Solving equations written in factored
form |
3.2 |
|
Finding zeros of a polynomial
function written in factored form |
3.2 |
|
Finding a polynomial of a given
degree with given zeros: Real zeros |
3.2 |
|
Finding x- and y-intercepts given a
polynomial function |
3.2 |
|
Determining the end behavior of the
graph of a polynomial function |
3.2 |
|
Inferring properties of a polynomial
function from its graph |
3.2 |
|
Matching graphs with polynomial
functions |
3.2 |
|
Finding the asymptotes of a rational
function: Problem type 1 |
3.6 |
|
Finding the asymptotes of a rational
function: Problem type 2 |
3.6 |
|
Sketching the graph of a rational
function: Problem type 1 |
3.6 |
|
Sketching the graph of a rational
function: Problem type 2 |
3.6 |
|
Graphing rational functions with
holes |
3.6 |
Week 12 |
Module #8 (15 topics, due on 04/15/13): |
|
|
Evaluating an exponential function
that models a real-world situation |
4.1,4.2 |
|
Converting between logarithmic and
exponential equations
|
4.3 |
|
Converting between natural
logarithmic and exponential equations |
4.3 |
|
Evaluating a logarithmic expression |
4.3 |
|
Solving a logarithmic equation:
Problem type 1 |
4.3 |
|
Solving an exponential equation:
Problem type 1 |
4.1,4.2 |
|
Solving an exponential equation:
Problem type 2 |
4.1,4.2 |
|
Solving a word problem using an
exponential equation: Problem type 1 |
4.1,4.2 |
|
Solving a word problem using an
exponential equation: Problem type 2 |
4.1,4.2 |
|
Sketching the graph of an exponential
function: Basic |
4.1,4.2 |
|
The graph, domain, and range of an
exponential function |
4.1,4.2 |
|
Sketching the graph of a logarithmic
function: Basic |
4.3 |
|
The graph, domain, and range of a
logarithmic function |
4.3 |
|
Sketching the graph of a logarithmic
function |
4.3 |
|
Translating the graph of a
logarithmic or exponential function |
4.1,4.2,4.3 |
Week 13 |
Module #9 (19 topics, due on 04/22/13): |
|
|
Converting between degree and radian
measure: Problem type 1 |
5.1 |
|
Converting between degree and radian
measure: Problem type 2 |
5.1 |
|
Sketching an angle in standard
position |
5.3 |
|
Reference angles: Problem type 1 |
5.3 |
|
Reference angles: Problem type 2 |
5.3 |
|
Special right triangles |
5.2 |
|
Sine, cosine, and tangent ratios |
5.2 |
|
Finding trigonometric ratios given a
right triangle |
5.2 |
|
Using a trigonometric ratio to find a
side length in a right triangle |
5.2 |
|
Using trigonometry to find distances |
5.2 |
|
Using a trigonometric ratio to find
an angle measure in a right triangle |
5.2 |
|
Using trigonometry to find angles of
elevation or depression |
5.2 |
|
Solving a right triangle |
5.2 |
|
Trigonometric functions and special
angles: Problem type 1 |
5.3 |
|
Trigonometric functions and special
angles: Problem type 2 |
5.3 |
|
Trigonometric functions and special
angles: Problem type 3 |
5.3 |
|
Finding values of trigonometric
functions given information about an angle: Problem type
1 |
5.3 |
|
Finding values of trigonometric
functions given information about an angle: Problem type
2 |
5.3 |
|
Finding values of trigonometric
functions given information about an angle: Problem type
3 |
5.3 |
Weeks 14, 15 |
Module #10 (15 topics, due on 05/06/13): |
|
|
Amplitude and period of sine and
cosine functions |
5.4 |
|
Amplitude, period, and phase shift of
sine and cosine functions |
5.4 |
|
Sketching the graph of a sine or
cosine function: Problem type 1 |
5.4 |
|
Sketching the graph of a sine or
cosine function: Problem type 2 |
5.4 |
|
Sketching the graph of a sine or
cosine function: Problem type 3 |
5.4 |
|
Classifying systems of linear
equations from graphs |
8.1 |
|
Solving a simple system using
substitution |
8.1 |
|
Solving a system of linear equations
using elimination with multiplication and addition |
8.1 |
|
Solving a system that is inconsistent
or consistent dependent |
8.1 |
|
Solving a word problem involving a
sum and another simple relationship using a system of
linear equations |
8.1 |
|
Midpoint of a line segment in the
plane |
2.1 |
|
Distance between two points in the
plane |
2.1 |
|
Graphing a circle given its equation
in standard form |
2.2 |
|
Writing an equation of a circle given
its center and a point on the circle |
2.2 |
|
Writing an equation of a circle given
the endpoints of a diameter |
2.2 |
Week 16 |
Review for Final Exam |
|
|
Tuesday, May 7 – NJIT follows a
Friday schedule |
|
|
Wednesday, May 8 – reading day |
|
|
Final Exam Week
– May 9 – May 15 |
|
Prepared By: Prof. Diana Klimek
Last revised: January 11, 2013