MATH 107 Course Syllabus - SPRING 2013

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

Prof. Klimek

Math 107-004

Prof. Hayes

Math 107-006

Prof. Kappraff

Math 107-008

Prof. Natarajan

Math 107-010

Prof. Upadhya

Math 107-014

Prof. Ward

Math 107-102

Prof. Horwitz

Math 107-104

Prof. Upadhya

 

 

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.

January 21, 2013

M

Dr. Martin Luther King, Jr. Day ~ University Closed

March 17-24, 2013

Su-Su

Spring Recess ~ No Classes Scheduled ~ University Open

March 26, 2013

T

Last Day to Withdraw from this course

March 29, 2013

F

Good Friday ~ University Closed

May 7, 2013

T

Classes follow a Friday Schedule, Last Day of Classes

May 8, 2013

W

Reading Day

May 9-15, 2013

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

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