Prof Porter's Precalculs MAT 146 syllabus Fall 2015

Fall 2022

MAT146:Precalculus 1 Syllabus FALL 2022 Prof. Porter MCCC

Catalog Description:

The first course in the mathematics sequence leading to calculus for engineering, computer science, math, science and business majors. In depth study of polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions, equations, and identities with extensive use of graphing calculators.

Prerequisites: MAT-038 or MAT-044 Minimum Grade C - Must be completed prior to taking this course

Required Materials:

ALEKS® software is required

Internet Access to Desmos required for exams

ALEKS® alone:

ISBN: 9781259612923

Optional ebook: Precalculus 1e, Miller

ISBN-10: 0078035600
ISBN-13: 9780078035609

Instructor: Richard Porter

E-mail: porterr@mccc.edu	Office: Zoom ZOOM Meeting Access : 4461153665	Office Hours: Office schedule By appointment
Web Page: Homepage	Phone: 609-616-2841	Text: 609-616-2841

Grading:

Posts (Discussions)	10%
Time/Objectives/Practice Tests	10%
Quizzes	10%
Tests (2)	15%
Midterm	25%
Final*	30%
Total	100%

*Must Receive a 50% on Final to pass course

93%-100%........A

90%-92%..........A-

87%-89%..........B+

83%-86%..........B

80%-83%..........B-

77%-79%..........C+

70%-76%..........C

60%-69.5%.......D

<59.5%.............F

Assignments:

Assignments:	Repeatable?	Cumulative?	Help available?	Partial credit?
Posts (Discussions)	Up to Weekly due date	No	Up to Weekly due date	Yes
Objectives	Only if completing current objectives	No	From ALEKS	None
Quizzes	Up to Weekly due date (quick)	No	No	None
Practice Tests	Up to due date (full retake)¹	All but test 2	After completion	Workpaper²
Tests 1 and 2 ⁵	No- knowledge check	Yes	No	No
Midterm Exam⁵	No	Yes	After Corrections	Requested³
Final Exam⁵	No	Yes	No	Automatic⁴
¹Practice Assignments are designed for you to practice taking tests and exams. They’re like quizzes except they are timed and must be retaken in their entirety (No quick retakes). ²All workpaper must be ordered. Questions clearly ordered and labeled. All work must be shown for every problem including calculator steps outlined. Practice test 1 gets part credit. ³Up to a week after the exam, student must explain why credit is requested for each individual question. ⁴Workpaper will be automatically reviewed. ⁵Honorlock Proctored Assignment. Failure to comply correctly with Honorlock can be costly. Read instructions below, and be sure you understand them fully.

Wk	Sections	Objectives Due
1	1.6-1.8	Review of Functions
2	2.1-2.3	Polynomial Functions & Division
3	2.4-2.7	Zeros and Inequalities, Variation
4	2.5,2.6	Rational Functions (Test 1)
5	3.2,3.6	Exponential Functions
6	3.1,3.3	Inverses and Logs
7	3.4,3.5	Equations and Properties
8	4.1-4.3	Circular Functions, Right Triangle
9	4.4,4.5	Trig Functions and Graphs (Mid)
10	4.5-4.7	Trig Transformations and Inverses
11	5.1,5.2	Sum and Difference, Identities
12	5.3,5.5	Double & Half Identities, Equations
13	6.1-6.3	Law of Sines and Cosines
14		Project Presentations (Test 2)
Final		Final on Honorlock®

Dates


Week	Starts	Ends	Discussion	Quiz	Last Due Date
1	8/31/2022	9/7/2022	Introduction	1	9/9/2022
2	9/7/2022	9/14/2022	Lines and quads	2	9/16/2022
3	9/14/2022	9/21/2022	Polynomials	3	9/23/2022
4	9/21/2022	9/28/2022	Zeros, max/min	4	9/30/2022
5	9/28/2022	10/5/2022	End Behavior	5	10/7/2022
6	10/5/2022	10/12/2022	Exponential	6	10/14/2022
7	10/12/2022	10/19/2022	Logarithm	7	10/21/2022
8	10/19/2022	10/26/2022	Growth Rate	8	10/28/2022
9	10/26/2022	11/2/2022	Proposal	9	11/4/2022
10	11/2/2022	11/9/2022	Sine regression	10	11/11/2022
11	11/9/2022	11/16/2022	All Solutions	11	11/18/2022
12	11/16/2022	11/23/2022	All Ends	12	12/2/2022
13	11/23/2022	12/7/2022	Conclusion	13	12/9/2022
14	12/7/2022	12/14/2022	Review
15	12/15/2022	12/17/2022	Final		12/17/2022

TEST DATES:

10/6/22 Practice Test 1

10/6/22 Test 1 25% Knowledge Check

10/27/22 Practice Midterm (6pm)

10/29/22 MIDTERM

12/7/22 Practice Test 2 (6pm)

12/7/22 Practice Final (6pm)

12/14/22 Test 2 70% Knowledge Check

12/17/22 FINAL EXAM

Point Values (approximate)

	Number of Assignments	Value each towards Final Grade	TOTAL Value Towards Final Grade
Time on ALEKS*	based on ALEKS time	varies	1%
CLASSWORK group work	13 Blackboard Posts	~1% per posts	10%
HOMEWORK weekly objective best	10 Best ALEKS obj	~0.5% per objectives	5%
REVIEWS quiz compilations	3	0% per review	0%
PRACTICE TESTS (1,Mid,2,Final)	4	~1% per Practice Test	4%
QUIZZES Weekly Best	12	~1% per quiz	10%
TEST 1 and TEST 2 knowledge checks	2	7.5% per check	15%
MIDTERM EXAM (usually 20 questions)	1	25	25%
FINAL EXAM (usually 15-25 questions)	1	~2% per question	30%

*you are expected to spend at least 70 hours on ALEKS

College Policies:

Mercer County Community College is committed to ensuring the full participation of all students in all activities, programs and services. If you have a documented differing ability or think that you may have a differing ability that is protected under the ADA and Section 504 of the Rehabilitation Act, please contact Arlene Stinson in LB 216 stinsona@mccc.edu for information regarding support services.

If you do not have a documented differing ability, remember that other resources are available to all students on campus including academic support through our Academic Learning Center located in LB 214.

Accessibility Statement for Students

Mercer County Community College recognizes disability as an aspect of diversity. This class has been designed to meet the diverse needs of all learners. Please feel free to schedule an appointment with me to discuss your unique learning needs.

If you have, or believe you have, a disability and feel that you will require academic accommodations please contact CITA@mccc.edu. The website https://www.mccc.edu/student_services_needs.shtml provides comprehensive step-by-step information regarding accessibility and reasonable academic accommodations.

Financial Aid Statement for Students

It is recommended that students complete an application for financial aid to determine eligibility for financial assistance. The application is FREE and available for completion as of October 1, 2022 for the 2022-23 academic year. Visit studentaid.gov to complete your application.

Withdraw Policy:

1. You are required to complete one homework or quiz assignment on ALEKS® and log at least two hours of time in the first three days of classes, or you will be withdrawn as never attending. It doesn't matter what grade you get on the assignment, just make sure you submit it.

2. Also, you will be required to purchase ALEKS® the second week of classes. If you don't purchase it by the end of the third week of classes, you will be withdrawn.

3. The last day to withdraw is the nineth week of classes, after that date, no withdraws are possible. If at that time you are not passing and have not logged twenty hours of ALEKS® time, you may be withdrawn.

4. If you are mistakenly withdrawn, you have only two days to notify me so I can correct it. You should check your Mercer email regularly to make sure.

5.Once you are withdrawn, you cannot receive credit for the course.

Mercer County Community College is committed to Academic Integrity – the honest, fair, and continuing pursuit of knowledge, free from fraud or deception. Students should never:

Knowingly represent the work of others as their own
Knowingly represent previously completed academic work as current
Fabricate data to support academic work
Use or obtain unauthorized assistance in the execution of any academic work
Give fraudulent assistance to other students. This includes discussing quizzes, tests, and exams in any way with other students; even students not in your class.
Unethically use technological means to gain academic advantages

When testing using Honorlock®:

No cell phones or other electronic devices may be present. Not within arms reach.
Your eyes should remain focused on the computer.
You may not read questions out loud or talk to yourself, unless you have discussed this with your instructor.
You may not have headphones or earbuds in.
You may not minimize your browser or visit other unauthorized websites during the exam.
Do not capture, cast, or mirror your screen.
Your camera and microphone must be active for the entirety of the exam.
Your face must remain clearly in the view of the camera for the duration of the exam.
You may not use notes, texts, apps, internet sites, phones, friends or other aids during the exam, unless specified by the instructor.
You must show both sides of all your scrap paper simultaneously during the room scan. Scrap paper can be any type of paper (ie loose-leaf, graph, plain white printer paper). Scrap paper may NOT be in a notebook. It must be separate sheets of paper. You may write on both sides of the scrap paper.
You should be the only person in the room while you complete your exam.
Your room scan must include your entire working area, including above, below, and behind the computer. Students should clearly show their working station, desk and under desk area , including wall(s) above the monitor. Students should clearly show on the camera any area within eyesight. Perform the scan SLOWLY to capture the entire room.
Students will show cell phones, tablets and smart watches stored in a closed drawer or put away from arms reach.
Students will show wrist to show no watch or smart watch is on wrist.
Students who continue to look up, left, right or down as if looking at something will be in violation of academic integrity.

Violations of the above policy:

First violation results in a grade of zero for the assignment AND submission of a report to the Academic Integrity Committee.
Second violation results in a grade of F for the course AND submission of a report to the Academic Integrity Committee.

Topics on ALEKS

Prerequisite Topics (12 topics)

Identifying functions from relations

Finding an output of a function from its graph

Finding where a function is increasing, decreasing, or constant given the graph: Interval notation

Polynomial long division: Problem type 2

Graphing a rational function: Constant over linear

Introduction to compound interest

Sine, cosine, and tangent ratios: Variables for side lengths

Using a trigonometric ratio to find an angle measure in a right triangle

Using trigonometry to find a length in a word problem with two right triangles

Sketching the graph of y= a sin(bx+c) or y= a cos(bx+c)

Sketching the graph of y= a sin(bx)+ d or y= a cos(bx)+ d

Writing the equation of a sine or cosine function given its graph: Problem type 1

Functions and Relations (17 Topics)

Section 1.3 (2 Topics)

Vertical line test

Domain of a square root function: Basic

Section 1.6 (6 Topics)

Graphing a parabola of the form y = (x-h)2 + k

Graphing a square root function: Problem type 2

Translating the graph of a parabola: One step

Translating the graph of a parabola: Two steps

How the leading coefficient affects the shape of a parabola

Translating the graph of a function: Two steps

Section 1.7 (4 Topics)

Evaluating a piecewise-defined function

Finding local maxima and minima of a function given the graph

Graphing a piecewise-defined function: Problem type 1

Using a graphing calculator to find local extrema of a polynomial function

Section 1.8 (5 Topics)

Finding a difference quotient for a linear or quadratic function

Sum, difference, and product of two functions

Quotient of two functions: Basic

Introduction to the composition of two functions

Composition of two functions: Basic

Section 2.1 (1 Topic*)

Graphing a parabola of the form y = (x-h)2 + k

(*) Some topics in this section are also covered in a previous section of this Objective.

Topics are only counted once towards the total number of topics for this Objective.

Polynomials & Division (13 Topics)

Section 2.1 (4 Topics)

Graphing a parabola of the form y = a(x-h)2 + k

Word problem involving the maximum or minimum of a quadratic function

Word problem involving optimizing area by using a quadratic function

Choosing a quadratic model and using it to make a prediction

Section 2.2 (7 Topics)

Finding zeros of a polynomial function written in factored form

Finding zeros and their multiplicities given a polynomial function written in factored form

Finding x- and y-intercepts given a polynomial function

Determining the end behavior of the graph of a polynomial function

Determining end behavior and intercepts to graph a polynomial function

Matching graphs with polynomial functions

Inferring properties of a polynomial function from its graph

Section 2.3 (2 Topics)

Finding a polynomial of a given degree with given zeros: Real zeros

Polynomial long division: Problem type 1

Zeros and Inequalities (6 Topics)

Section 2.4 (3 Topics)

Multiplying expressions involving complex conjugates

Finding a polynomial of a given degree with given zeros: Complex zeros

Linear factors theorem and conjugate zeros theorem

Section 2.6 (3 Topics)

Using a graphing calculator to find the zeros of a quadratic function

Using a graphing calculator to find zeros of a polynomial function

Solving a polynomial inequality: Problem type 1

Rational Functions (9 Topics)

Section 2.5 (8 Topics)

Finding the intercepts, asymptotes, domain, and range from the graph of a rational function

Finding horizontal and vertical asymptotes of a rational function: Quadratic numerator or denominator

Finding the asymptotes of a rational function: Quadratic over linear

Graphing a rational function: Linear over linear

Graphing rational functions with holes

Matching graphs with rational functions: Two vertical asymptotes

Graphing a rational function with more than one vertical asymptote

Writing the equation of a rational function given its graph

Section 2.6 (1 Topic)

Solving a rational inequality: Problem type 1

Exponential Functions (14 Topics)

Section 3.2 (8 Topics)

The graph, domain, and range of an exponential function

Transforming the graph of a natural exponential function

Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c

Finding a final amount in a word problem on exponential growth or decay

Finding the final amount in a word problem on compound interest

Finding the time to reach a limit in a word problem on exponential growth or decay

Finding the final amount in a word problem on continuous compound interest

Finding the final amount in a word problem on continuous exponential growth or decay

Section 3.6 (4 Topics)

Choosing an exponential model and using it to make a prediction

Finding the time given an exponential function with base e that models a real-world situation

Finding the initial amount in a word problem on continuous compound interest

Finding half-life or doubling time

Chapter 3 Supplementary Topics (2 Topics)

Writing an exponential function rule given a table of ordered pairs

Identifying linear, quadratic, and exponential functions given ordered pairs

Inverses and Logs (8 Topics)

Section 3.1 (4 Topics)

Determining whether two functions are inverses of each other

Inverse functions: Linear, discrete

Inverse functions: Rational

Finding, evaluating, and interpreting an inverse function for a given linear relationship

Section 3.3 (4 Topics)

Converting between natural logarithmic and exponential equations

Translating the graph of a logarithmic function

Graphing a logarithmic function: Basic

The graph, domain, and range of a logarithmic function

Equations and Properties (11 Topics)

Section 3.4 (4 Topics)

Basic properties of logarithms

Expanding a logarithmic expression: Problem type 1

Writing an expression as a single logarithm

Change of base for logarithms: Problem type 1

Section 3.5 (7 Topics)

Solving a multi-step equation involving a single logarithm: Problem type 1

Solving a multi-step equation involving natural logarithms

Solving an equation involving logarithms on both sides: Problem type 2

Solving an exponential equation by using natural logarithms: Decimal answers

Solving an exponential equation by using logarithms: Decimal answers, advanced

Finding the rate or time in a word problem on continuous exponential growth or decay

Using a graphing calculator to solve an exponential or logarithmic equation

Circular Functions, Right (13 Topics)

Section 4.1 (4 Topics)

Converting a decimal degree to degrees-minutes-seconds

Converting between degree and radian measure: Problem type 2

Coterminal angles

Arc length and central angle measure

Section 4.2 (5 Topics)

Finding trigonometric ratios from a point on the unit circle

Trigonometric functions and special angles: Problem type 3

Evaluating expressions involving sine and cosine

Even and odd properties of trigonometric functions

Evaluating a sinusoidal function that models a real-world situation

Section 4.3 (4 Topics)

Using a calculator to approximate cosecant, secant, and cotangent values

Sine, cosine, and tangent ratios: Numbers for side lengths

Using the Pythagorean Theorem to find a trigonometric ratio

Finding trigonometric ratios given a right triangle

Trig Functions and Graphs (9 Topics)

Section 4.5 (8 Topics)

Sketching the graph of y= a sin(x) or y= a cos(x)

Sketching the graph of y= sin(bx) or y= cos(bx)

Sketching the graph of y= sin(x)+ d or y= cos(x)+ d

Sketching the graph of y= sin(x+c) or y= cos(x+c)

Sketching the graph of y= a sin(bx) or y= a cos(bx)

Amplitude and period of sine and cosine functions

Amplitude, period, and phase shift of sine and cosine functions

Writing the equation of a sine or cosine function given its graph: Problem type 2

Section 4.6 (1 Topic)

Domains and ranges of trigonometric functions

Trig Inverses (8 Topics)

Section 4.5 (1 Topic)

Word problem involving a sine or cosine function: Problem type 1

Section 4.7 (6 Topics)

Values of inverse trigonometric functions

Composition of a trigonometric function with the inverse of another trigonometric function: Problem type 1

Composition of a trigonometric function with the inverse of another trigonometric function: Problem type 2

Composition of a trigonometric function with the inverse of another trigonometric function: Problem type 3

Composition of trigonometric functions with variable expressions as inputs: Problem type 1

Using a calculator to approximate inverse trigonometric values

Chapter 4 Supplementary Topics (1 Topic)

Composition of a trigonometric function with its inverse trigonometric function: Problem type 2

Sum and Difference, Ident (5 Topics)

Section 5.1 (4 Topics)

Simplifying trigonometric expressions

Verifying a trigonometric identity

Proving trigonometric identities: Problem type 1

Proving trigonometric identities using odd and even properties

Section 5.2 (1 Topic)

Sum and difference identities: Problem type 3

Dbl and Half, Equations (8 Topics)

Section 5.3 (3 Topics)

Double-angle identities: Problem type 1

Half-angle identities: Problem type 1

Proving trigonometric identities using double-angle properties

Section 5.5 (5 Topics)

Finding solutions in an interval for a basic equation involving sine or cosine

Solving a basic trigonometric equation using a calculator

Solving a basic trigonometric equation involving sine or cosine

Finding solutions in an interval for a trigonometric equation in factored form

Using a graphing calculator to solve a trigonometric equation

Law of Sines and Cosines (8 Topics)

Section 4.3 (1 Topic)

Using trigonometry to find a length in a word problem with one right triangle

Section 6.1 (3 Topics*)

Using trigonometry to find a length in a word problem with one right triangle

Using trigonometry to find angles of elevation or depression in a word problem

Solving a right triangle

Section 6.2 (3 Topics)

Solving a triangle with the law of sines: Problem type 1

Solving a triangle with the law of sines: Problem type 2

Solving a word problem using the law of sines

Section 6.3 (2 Topics)

Solving a triangle with the law of cosines

Solving a word problem using the law of cosines

(*) Some topics in this section are also covered in a previous section of this Objective.

Topics are only counted once towards the total number of topics for this Objective.

FALL 2021

Professor Porter

porterr@mccc.edu

609-616-2841

(phone or Text)

Office:Zoom

ZOOM Meeting Access 4461153665

Schedule

Precalculus

MAT 146

REMOTE COURSE SYLLABUS

"The Study of Functions"

Catalog DescriptionPrerequisite: Take MAT-038 or MAT-044 Minimum Grade C - Must be completed prior to taking this course.

course outline

Required Materials: Make sure you get a calculator, we will use it.

Text: Miller, Precalculus

Graphing Calculator is recommended- TI - 83/84/86

Desmos calculator available for exams

Instructor Contact Info:

E-mail: porterr@mccc.edu

Office: Zoom

Office Hours: Schedule

(Prefer before class)

Web Page: http://www.mccc.edu/~porterr

Phone: 609-616-2841

Grading:

ALEKS Qz/HW/Time	10%
Tests 1 and 2	10%
Classwork/Group-work	10%
Midterm on Honorlock	30%
Final on Honorlock**	40%

Total	100%

**Must Receive a 50% on Final to pass course!**

93%-100%........A

90%-92%..........A-

87%-89%..........B+

83%-86%..........B

80%-83%..........B-

77%-79%..........C+

70%-76%..........C

60%-69.5%.......D

<59.5%.............F

(50% on Final to pass)

The emphasis in this course is on presenting a good argument not simply producing an answer.

SHOW ALL WORK TO SUPPORT YOUR ARGUMENTS AND TO GET FULL CREDIT ON TESTS.

Leave all work visible as you might get credit for arguments that are good, but crossed off.

Unjustified answers, even obvious answers, will receive NO credit!

A valid school photo ID is required to take all tests.

No additional computer resources are allowed during exams. A hand-held calculator is allowed except TI-89.TI-92, and TI-Inspire, or any other calculator that trivializes calculations. See me if you are unsure before the test.

Topics:

Wk	Sections	Objectives Due
1	1.6-1.8	Review of Functions
2	2.1-2.3	Polynomial Functions & Division
3	2.4-2.7	Zeros and Inequalities, Variation
4	2.5,2.6	Rational Functions (Test 1)
5	3.2,3.6	Exponential Functions
6	3.1,3.3	Inverses and Logs
7	3.4,3.5	Equations and Properties
8	4.1-4.3	Circular Functions, Right Triangle
9	4.4,4.5	Trig Functions and Graphs (Mid)
10	4.5-4.7	Trig Transformations and Inverses
11	5.1,5.2	Sum and Difference, Identities
12	5.3,5.5	Double & Half Identites, Equations
13	6.1-6.3	Law of Sines and Cosines
14		Project Presentations (Test 2)
Final		Final in usually in BS317 at 6pm

ESTIMATION OF HOMEWORK GRADES:

	Number of Assignments	Value each towards Final Grade	TOTAL Value Towards Final Grade
Time on ALEKS*	based on ALEKS time	0%	0%
CLASSWORK group work	12 Blackboard Posts	1% per best 10 posts	10%
HOMEWORK weekly objective best	10 Best ALEKS obj	0% per objectives	0%
REVIEWS quiz compilations	4	0% per review	0%
PRACTICE TESTS (1,Mid,2,Final)	4	1% per Practice Test	4%
QUIZZES Weekly Best	12	.5% per quiz	6%
TEST 1 and TEST 2 knowledge checks	2	5% per check	10%
MIDTERM EXAM (usually 20 questions)	1	1.5% per question	30%
FINAL EXAM (usually 20 questions)	1	2% per question	40%

*you are expected to spend at least 60 hours on ALEKS

Recordings from class may not be shared in any way, including with other students. Recorded materials cannot be shared online, posted on social media/networking sites, emailed to parents and friends, etc. This includes comments/statements made by other students as well as the course instructor/professor.

Mercer County Community College is committed to Academic Integrity – the honest, fair, and continuing pursuit of knowledge, free from fraud or deception. Students should never:

Knowingly represent the work of others as their own
Knowingly represent previously completed academic work as current
Fabricate data to support academic work
Use or obtain unauthorized assistance in the execution of any academic work
Give fraudulent assistance to other students. This includes discussing quizzes, tests, and exams in any way with other students; even students not in your class.
Unethically use technological means to gain academic advantages

When testing using Honorlock:

No cell phones or other electronic devices may be present.
Your eyes should remain focused on the computer.
You may not read questions out loud or talk to yourself, unless you have discussed this with your instructor.
You may not have headphones or earbuds in.
You may not minimize your browser or visit other websites during the exam.
Do not capture, cast, or mirror your screen.
Your camera and microphone must be active for the entirety of the exam.
Your face must remain clearly in the view of the camera for the duration of the exam.
You may not use notes, texts, apps, internet sites, phones, friends or other aids during the exam, unless specified by the instructor. Your instructor may provide you with a formula sheet. You may reference the formula sheet via the Blackboard page or you may print the formula sheet. If you print the formula sheet, you must show it during the room scan and show that you have not included any other notes on the formula sheet.
You must show both sides of all your scrap paper during the room scan. Scrap paper can be any type of paper (ie loose-leaf, graph, plain white printer paper). Scrap paper may NOT be in a notebook. It must be separate sheets of paper. You may write on both sides of the scrap paper.
You should be the only person in the room while you complete your exam.
Your room scan must include your entire working area, including above, below, and behind the computer. Students should clearly show their working station, desk and under desk area , including wall(s) above the monitor. Students should clearly show on the camera any area within eyesight.
Students will show cell phones, tablets and smart watches stored in a closed drawer or put away from arms reach.
Students will show wrist to show no watch or smart watch is on wrist.
Students who continue to look up, left, right or down as if looking at something will be in violation of academic integrity.

Violations of the above policy:

First violation results in a grade of zero for the assignment AND submission of a report to the Academic Integrity Committee.
Second violation results in a grade of F for the course AND submission of a report to the Academic Integrity Committee.

Course Questions:

Why are you taking this course, and why is the course required for your major?
What is Mathematics?
What is Precalculus?
What are Functions?
What are the three main ways that functions can be represented?
How can data be turned into equations?
How can data and equations be turned into graphs?
How can equations and graphs be used to make predictions?
What is the difference between solving and evaluating?

Even Older Syllabus:

Professor Porter

porterr@mccc.edu

609-616-2841

(phone or Text)

Office:LA128

Schedule

Precalculus

MAT 146

HYBRID COURSE SYLLABUS

"The Study of Functions"

Catalog DescriptionPrerequisite: MAT 135 with a minimum C grade or appropriate College Level Math placement test score
In-depth study of polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions, equations, and identities;

systems of equations including matrices; extensive use of graphing calculators. course outline

Required Materials: Make sure you get a calculator, we will use it.

Text: Miller, Precalculus

Graphing Calculator is required: TI - 83/84/86

Instructor Contact Info:

E-mail: porterr@mccc.edu

Office: LA 129

Office Hours: Schedule

(Prefer before class)

Web Page: http://www.mccc.edu/~porterr

Phone: 609-616-2841

Grading:

ALEKS Qz/HW/Time	15%
Tests 1 and 2	10%
Classwork/Groupwork	5%
In-Class Midterm	20%
Regression Project	25%
In-Class Final**	25%
Total	100%

**Must Receive a 50% on Final to pass course!**

93%-100%........A

90%-92%..........A-

87%-89%..........B+

83%-86%..........B

80%-83%..........B-

77%-79%..........C+

70%-76%..........C

60%-69.5%.......D

<59.5%.............F

(50% on Final to pass)

The emphasis in this course is on presenting a good argument not simply producing an answer.

SHOW ALL WORK TO SUPPORT YOUR ARGUMENTS AND TO GET FULL CREDIT ON TESTS.

An “OK” mark on your paper means the answer is wrong but you get full credit for the argument.

Leave all work visible as you might get half credit for arguments that are good, but crossed off.

Unjustified answers, even obvious answers, will receive NO credit!

Topics:

Wk	Date	Sections	Objectives Due	Assessments	Discussion	Dropbox
1	1/17	1.6-1.8	Review of Functions	Diagnostic	Evaluate/Solve P1,P2
2	1/24	2.1-2.3	Polynomial Functions & Division	Quiz 1	Evaluate/Solve P3,P4
3	1/31	2.4-2.7	Zeros and Inequalities, Variation	Quiz 2	Zeros P3 Max/Mins P4
4	2/7	2.5,2.6	Rational Functions (Test 1)	Quiz 3, Ptest1	End Behavior P1-P4	PTest1 Work
5	2/14	3.2,3.6	Exponential Functions	Quiz 4,Test 1	Evaluate/Solve Exp(x)
6	2/21	3.1,3.3	Inverses and Logs	Quiz 5	Exponential Growth	Proposal
7	2/28	3.4,3.5	Equations and Properties	Quiz 6	Evaluate/Solve ln(x)
8	3/7	4.1-4.3	Circular Functions, Right Triangle	Quiz 7	Evaluate sin(x)	Regressions
9	3/21	4.4,4.5	Trig Functions and Graphs (Mid)	Quiz 8, PMid	Solve sin(x)	PMid Work
10	3/28	4.5-4.7	Trig Transformations and Inverses	Quiz 9, Mid	End Behavior Trans	Worksheet
11	4/4	5.1,5.2	Sum and Difference, Identities	Quiz 10	Poster Mockup
12	4/11	5.3,5.5	Double & Half Identites, Equations	Quiz 11	Reviews
13	4/18	6.1-6.3	Law of Sines and Cosines	Quiz 12, Ptest2	---	PTest2 Work
14	4/25		Project Presentations (Test 2)	Quiz 13, Test 2	Videos (if necessary)
15	5/2		Review	Practice Final	---	Pfinal Work
Final	5/9		Final in BS320 at 8pm

ESTIMATION OF HOMEWORK GRADES

	Number of Assignments	Value each towards Final Grade	TOTAL Value Towards Final Grade
CLASSWORK group work	10	.5% per objectives	5%
HOMEWORK weekly objective best	10	.5% per objectives	5%
REVIEWS quiz compilations	4	0% per homework	0%
PRACTICE TESTS (1,Mid,2,Final)	4	1% per homework	4%
QUIZZES Weekly Best	12	.5% per quiz	6%
TEST 1 and TEST 2 knowledge checks	2	5% per check	10%
MIDTERM EXAM	1	20% per test	20%
FINAL EXAM	1	25% per test	25%
TOTAL:			75%

*you are expected to spend at least 50 hours on ALEKS

ESTIMATION OF PROJECT GRADES

Assignment	Topics	Points	%Final
Proposal	Xvar,Yvar,(9)Data,Source,Interest	9	3%
Regressions	Accurate,P1-P4,Exp,Ln,Sin,r2	9	3%
worksheet	Prompt,(10) discussions in Math, (10) discussions in English	21	7%
mockup	(2)Reviews,Data,(2)Graphs,Equats,(2)Eval,(2)Solve,Geometry,(2)Ends,Rate,Presentation	15	5%
peer review	(2)Relevant,(2)Informative	4	1.3%
presentation	(2)Graphs,(2)Eval,(2)Solve,(2)Geometry,Rate,Presentation,(2)Questions	12	4%
Poster	Finished Product,	5	1.6%
total		75	25%

Mercer County Community College is committed to ensuring the full participation of all students in all activities andprograms. If you have a documented differing ability or think that you may have a differing ability that isprotected under the ADA or Section 504 of the Rehabilitation Act, please contact Arlene Stinson in LB216 {stinsona@mccc.edu} for information regarding academic accommodations and additional support services.

Course Questions:

Why are you taking this course, and why is the course required for your major?
What is Mathematics?
What is Precalculus?
What are Functions?
What are the three main ways that functions can be represented?
How can data be turned into equations?
How can data and equations be turned into graphs?
How can equations and graphs be used to make predictions?
What is the difference between solving and evaluating?