MATH 1112: College Trigonometry Summer 2020

MATH 1112: College Trigonometry

Summer 2020


Instructor: Dr Sarah Holliday
email (preferred):
Office Hours: Check the announcements in D2L

CRN: 50985 Section W01
CRN: 50986 Section W02
CRN: 52707 Section W05

Course Catalog Description:

Prerequisite: A grade of “C” or better in MATH 1111 or by Placement

This course is an in-depth study of the properties of trigonometric functions and their inverses. Emphasis is placed on the unit circle approach to the study of trigonometric functions and their graphs. Topics include circular functions, special angles, solutions of triangles, trigonometric identities and equations, graphs of trigonometric functions, inverse trigonometric functions and their graphs, Law of Sines, Law of Cosines, and vectors.

Note: Students completing this course may not also receive credit for MATH 1113

Notice on Discontinuation of MATH 1112: Starting in Fall 2020, the University may no longer offer MATH 1112. If so, all degree program and course requirements satisfied by MATH 1112 prior to Fall 2020 will be satisfied by MATH 1113 beginning in Fall 2020.  However, the University’s Repeated Course Policy, that allows for the highest grade attained in a course to be used to compute the institutional GPA, will not apply a grade earned in MATH 1113 to replace a previous grade earned in MATH 1112.

Learning Outcomes:

Upon completing this course, students will be able to:

1.     Evaluate, analyze, manipulate, and create graphical representations of exponential, logarithmic, trigonometric and piecewise defined functions;

2.     Use algebra of functions, function properties, and identities to solve applied problems;

3.     Apply a variety of problem-solving strategies, including right triangle, unit circle and functional techniques, to solve multiple-step problems involving trigonometric equations;

4.     Manipulate mathematical information in verbal, numerical, graphical, and symbolic form when solving applied problems;

5.      Write mathematical expressions, equations, and problem solutions using proper, standard mathematical notation.



Required materials

o   Textbook: College Algebra & Trigonometry, by Julie Miller and Donna Gerken, 2015

o   Calculator: Unless specified otherwise on the test or quiz, a TI-83/84 graphing calculator (or its equivalent) can be used throughout the course to enhance mathematical thinking and problem solving and to judge the reasonableness of results. Use of calculators (such as the TI-89) with symbolic capabilities will not be permitted on tests or quizzes.

o   Computer: You must have access to a computer, satisfying minimum system requirements, that is connected to the internet and have access to a webcam for testing.

o   Online Resource: The learning software ALEKS ( will be used in this class. MATH 1112 is part of a new textbook program called Day One Access. After enrolling in the course, you should receive an e-mail from KSU University Stores with instructions on how to access the course content. The purpose of Day One Access is to make sure that you have access to the digital course materials, including e-textbook, on or before the first day of class at a highly competitive rate. Everyone enrolled will automatically have access to the digital course materials through August 2020. Those who have not opted-out or dropped the class by May 29, 2020 will receive a charge from the bookstore on their student account. You have the ability to Opt-Out through May 29,  2020 via the link in the email sent to you by University Stores, but this is the most cost-effective way to access the course materials.


Diversity statement: Kennesaw State University prides itself on offering a premiere, personalized educational experience for leadership and engagement within a diverse nation and world. This educational experience is achieved through recognition and appreciation of the differing backgrounds and experiences reflected within the University community. It is my intent that students from all diverse backgrounds and perspectives be well served by this course, that students’ learning needs be addressed both in and out of class, and that the diversity that students bring to this class be viewed as a resource, strength and benefit.


Accommodations Statement: Any student with a documented disability or medical condition needing academic accommodations of class-related activities or schedules must contact the instructor immediately. Written verification from the KSU Student Disability Services is required. No requirements exist that accommodations be made prior to completion of this approved University documentation. All discussions will remain confidential. More information, including location and contact information, can be found at


·        Course Grades:

o   90-100% course average: A

o   80-89% course average: B

o   70-79% course average: C (Minimum grade needed for successful completion)

o   60-69% course average: D

o   Below 60% course average: F

·        Point Distribution:

o   Tests, 3 at 15% each = 45%

o   Final exam: 20%

o   Quizzes 35%




ALEKS Information


o   Homework in ALEKS consists of several modules (HW) of exercises with preset due dates. ALEKS is an adaptive learning system. This means that it will not expose you to new concepts unless you have demonstrated mastery of prerequisite skills. On the other hand, it will not require you to complete practice problems on topics in which you can demonstrate mastery. This will benefit you and allow you to work at your individualized pace. This also means that if you don’t work in a timely and regular manner, you will create more work for yourself in the future. You will need to spend between five and ten hours a “week” working in ALEKS, depending on your math skills.

o   Initial Knowledge Check: As soon as you set up your ALEKS account, the program will take you through an Initial Knowledge Check. This is a sequence of about 30 questions over a broad array of topics. This assessment will start you off on using ALEKS. It will determine your initial pie (a chart of your content mastery). It is this pie that you will fill in during the semester as you complete the assigned Objectives (HW). It is imperative that you take this knowledge check seriously! You will create the least amount of work for yourself over the course of the semester if you give the ALEKS program an accurate picture of what you know already – not more than you know (which will result in you getting content that is too difficult) and not less than you know (which will result in you having to do extra practice on problems you already know how to complete).

o   Objectives or “Weekly” HW: This is the traditional daily/weekly homework. ALEKS will present you with questions (offering explanations first) that you answer until you demonstrate mastery of the concept.

o   ALEKS Learning Mode: At any given time during your use of ALEKS, you will be able to access a certain limited set of topics, based on your readiness. As you progress, new topics will continually become available to you. Every time you do a problem, ALEKS will give you immediate feedback on your answer and tell you how many more problems you need to do for that topic. Note that if you make mistakes, ALEKS requires a little extra practice, but it does not start you over; it will remember the problems that you have answered correctly. It is recommended to only use a calculator for problems where ALEKS permits it. The ALEKS calculator button will light up (become enabled) on any topics for which ALEKS permits the use of a calculator.

o   ALEKS Progress Assessments (automatically generated): After you work in the “Learning Mode” for a significant amount of time (10 hours or 20 topics), ALEKS will determine that you are ready for another assessment. This will be your chance to add topics (questions you answer correctly during the assessment) towards completing your pie. Otherwise, ALEKS will prescribe more work it thinks you need to do in order to master the topics. This cycle of “...assessment, Learning Mode, assessment, Learning Mode...” continues throughout the course, allowing you to fill in your pie. Assessments are random and should not be taken if you are tired or rushing. If you make mistakes or select “I do not know” to finish quickly, you could lose topics ALEKS had previously believed you had mastered. Let’s hope your pie will grow over time, but it can also shrink!

o   Catch Up & Review: The Catch Up & Review units are designed to give you an opportunity to complete unfinished topics from previous weeks’ homework assignments. There are four “Catch Up & Review” units in a course, scheduled just before each exam. These units have every topic from each homework covered on the upcoming test. If you complete it, the system will give you access to all previous and future weeks’ homework assignments. You will be able to complete all missing topics or work ahead in a course. This is an opportunity for you to catch up with the ALEKS course topics, prepare for the test, and improve your “pie progress” grade.

o   Important: If I observe inconsistency between ALEKS performance (high percent completion) verses test results (failing grades), I reserve the right at any time during the semester to request any student to complete a proctored ALEKS Comprehensive Assignment that will reassess his/her overall knowledge in the course and reassess progress on ALEKS.


Academic Integrity


Every KSU student is responsible for upholding the provisions of the Student code of Conduct, as published in the Undergraduate and Graduate catalogs. The Student Code of Conduct addresses the University’s policy on academic honesty, including provisions regarding plagiarism and cheating, unauthorized access to University materials, misrepresentation/falsification of University records or academic malicious/intentional misuses of computer facilities and/or services, and misuse of student identification cards. Incidents of alleged academic misconduct will be handled through the established procedures of the Student Conduct and Academic Integrity department, which includes either an “Informal” resolution by a faculty member, resulting in a grade adjustment, or a formal hearing procedure, which may subject a student to the Code of Conduct’s minimum one semester suspension requirement. See also


Withdrawal from the University or from Individual Courses


Summer Term, 2020


Students who find that they cannot continue in college for the entire semester after being enrolled, because of illness or any other reason, need to complete an online form. To completely or partially withdraw from classes at KSU, a student must withdraw online in Owl Express,, under Student Services.


The date the withdrawal is submitted online will be considered the official KSU withdrawal date which will be used in the calculation of any tuition refund or refund to Federal student aid and/or HOPE scholarship programs. It is advisable to print the final page of the withdrawal for your records. Withdrawals submitted online prior to midnight on the last day to withdraw without academic penalty will receive a “W” grade. Withdrawals after midnight will receive a “WF”. Failure to complete the online withdrawal process will produce no withdrawal from classes. Call the Registrar’s Office at 770-423-6200 during business hours if assistance is needed.


Students may, by means of the same online withdrawal and with the approval of the university Dean, withdraw from individual courses while retaining other courses on their schedules. This option may be exercised up until   Thursday, June 18,  2020.


This is the date to withdraw without academic penalty for Summer term, 2020 classes. Failure to withdraw by the date above will mean that the student has elected to receive the final grade(s) earned in the course(s). The only exception to those withdrawal regulations will be for those instances that involve unusual and fully documented circumstances.


Important note about course withdrawal: Students are solely responsible for managing their enrollment status in a class; nonattendance does not constitute a withdrawal. However, per university policy, the instructor will assign a grade of WF to all students who do not complete the semester, where “not completing the semester'” is defined as ceasing to attend class and take exams prior to the last two weeks of the semester. Instructors are also required to report a “last attended'” date for students that do not complete the semester. Please note that this may affect your financial aid. The safest way to avoid problems is to either participate in the course until the end of the semester, or to officially withdraw prior to the withdrawal deadline indicated above (in which case you will receive a W, rather than a WF).


Course timing


Attendance Policy: This is an online class.  No face-to-face attendance is required.  I’d like to see your faces in virtual office hours, but that is not required.  I’ll be checking logins on ALEKS and on D2L.  If you get behind, I can try to help you.  If I don’t get an excuse BEFORE a deadline, I’ll be taking 10% off per business day the assessment is late. 



First Day of classes May 26, Tuesday
Drop/Add ends May 29, Friday
Test 1 deadline June 9, Tuesday
Payment Deadline June 16, Tuesday
Financial Aid Disbursement June 16, Tuesday
Deletion for nonpayment June 17, Thursday
Last Day for W June 18, Thursday
Test 2 deadline June 23, Tuesday
Holiday July 3, Friday
Test 3 deadline July 6, Monday
Last Day of Class July 15, Wednesday
Final Exams July 16-July 20
Grades Due July 23


Order of topics:
Textbook Section(s)
Syllabus; Initial knowledge Check (complete by 2nd class);

HW 1: Functions
R.4, R.5, 1.7, 2.3
HW 2: Basic, Piecewise, Even/Odd Functions and their Graphs; Graph Symmetries and Transformations; Intervals of Increase, Decrease, and Constant; Local Extrema; Systems of Linear Equations
2.4 – 2.7 9.1
HW 3: Manipulations with Rational Expressions; Operations on Functions; Composition; Difference Quotient
R.6, 2.8
HW 4: Exponents & Roots; Inverse Functions; Exponential & Logarithmic Functions
R.3, 4.1 – 4.3
HW 5: Properties of Logarithms; Solving Exponential & Logarithmic Equations and Applications
4.4 – 4.6
HW 6: Angles; Trigonometric Functions of Acute Angles; Solving Right Triangles
5.1, 5.2, 7.1
HW 7: Trigonometric Functions of Any Angle; Unit Circle; Circular Functions

5.3, 5.4
HW 8: Graphs and Properties of Trigonometric Functions; Transformations
5.5, 5.6


HW 9: Inverse Trigonometric Functions; Composition

HW 10: Trigonometric Identities 1
6.1, 6.2
HW 11: Trigonometric Identities 2
6.3, 6.4
HW 12: Solving Trigonometric Equations
HW 13: Laws of Sines & Cosines
7.2, 7.3
Last Day of Spring Classes – July 15
Final Exams






26-May  First day
28-May Quiz 1 due
1-Jun   Quiz 2 due
3-Jun  Quiz 3 due
5-Jun  Quiz 4 due
9-Jun Test 1
11-Jun Quiz 5 due
15-Jun Quiz 6 due
17-Jun Quiz 7 due
18-Jun                            W day
19-Jun Quiz 8 due
23-Jun Test 2
25-Jun Quiz 9 due
29-Jun Quiz 10 due
1-Jul Quiz 11 Due
3-Jul holiday no school
6-Jul   Test 3
8-Jul Quiz 12 due
10-Jul Quiz 13 due
14- Jul Quiz 14 due
15-Jul Last day
16-Jul Exam week
17-Jul Exam week
20-Jul Exam week
23-Jul    Grades due