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Online · College of Arts & Sciences · General Math & Sciences

Calculus and Analytic Geometry I
MATH-131

  • CG
  • Section 16WK
  • 11/10/2019 to 04/18/2020
  • Modified 05/26/2022

Course Description

Functions and graphs, exponential, logarithmic, inverse trigonometric, limits, the derivative, techniques of differentiation, continuity, applications of differentiation, L’Hopital’s Rule, the integral.

Requisites

For information regarding prerequisites for this course, please refer to the Academic Course Catalog.

Rationale

This course, along with MATH 132, provides a standard introduction to the study of calculus. It presents the theory and applications of elementary calculus necessary for further study of mathematics.

Course Learning Outcomes

Upon successful completion of this course, the student will be able to:

  1. Find limits of elementary functions.
  2. Demonstrate knowledge of continuity of functions by solving problems in written form using proper mathematical notation and terminology.
  3. Carry out the differentiation of elementary functions.
  4. Sketch and discuss the graphs of elementary functions.
  5. Demonstrate knowledge of the application of differentiation by solving problems in written form using proper mathematical notation and terminology.
  6. Carry out integration of elementary functions.
  7. Demonstrate knowledge of the application of integration by solving problems in written form using proper mathematical notation and terminology.

General Education Foundational Skill Learning Outcomes (FSLOs):

Technological Solutions and Quantitative Reasoning (TSQR):

Upon successful completion of this course, the student will be able to:

    • TSQR 1: Analyze data and inform action through a structured method.
    • TSQR 2: Predict the output based on an input in practical scenarios using technological solutions and/or quantitative reasoning.
    • TSQR 3: Apply the skills needed for a successful financial stewardship in various contexts.
    • TSQR 4: Relate technology and quantitative reasoning to participation in God's redemptive work.

Course Resources

Click on the following link to view the required resource(s) for the term in which you are registered: Liberty University Online Bookstore.

Additional Materials for Learning

  1. Computer with basic audio/video output equipment
  2. Internet access (broadband recommended)
  3. Canvas recommended browsers
  4. Microsoft Word
  5. Access to a scanner or a device with a scanning feature

Course Assignments

Textbook readings and presentations

Course Requirements Checklist

After reading the Course Syllabus and Student Expectations, the student will complete the related checklist found in Course Overview.

Prerequisite Project Assignment

During Module 1, the student will complete the Prerequisite Project Assignment. This project consists of a combination of prerequisite math problems and questions involving course information. The grade for this project will be determined by completing the problems and submitting the assignment correctly. The student does not need to get every prerequisite math question correct to get a perfect score on the project.

(TSQR: 1-3)

Homework Assignments (16)

Homework will be assigned through WebAssign, and the student will have multiple attempts at each problem. Even though homework problems are given online, the student is encouraged to work out solutions on paper using correct mathematical notation before entering data into WebAssign.

(CLO: A-G, TSQR: 1-3)

Quizzes (12)

Using the online WebAssign software, you will complete 12 module quizzes. Each module quiz will be based on the readings, watch videos, the corresponding homework of the assigned module. Module quizzes and tests occur on separate modules, so you will have at most one module quiz or one test each module. Module quizzes are timed assignments, and must each be completed within 30 minutes.

(CLO: A-G, TSQR: 1-3)

Test Assignments

Each test will be timed, handwritten, and open-book/open-notes and will cover the Learn material for the assigned modules. The time limit for each test is 120 minutes (2 hours). On all written work, the student is expected to write correct mathematics to avoid point deductions.

(CLO: A-E, TSQR: 1-3)

Final Exam Assignment

The Final Exam will be timed, handwritten, and open-book/open-notes and will cover all of the material from the course. The time limit for the exam is 180 minutes (3 hours). On all written work, the student is expected to write correct mathematics to avoid point deductions.

(CLO: A-G, TSQR: 1-3)

Course Grading

Course Requirements Checklist

10

Prerequisite Project Assignment

60

Homework Assignments 1–16 (10 pts ea)

160

Module Quizzes (12 at 15 pts ea)

180

Test Assignments (3 at 100 pts ea)

300

Final Exam Assignment

300

Total

1010

Policies

Mathematical Late Assignment Policy

Mathematical assignments that are submitted after the due date without prior approval from the instructor will receive the following deductions

  1. Late mathematical assignments submitted within one week after the due date will receive a 10% deduction.
  2. Mathematical assignments submitted more than one week late or after the final date of the course will not be accepted.
  3. Discussion board assignments submitted within one week after the due date will receive a 10% deduction.
  4. Discussion board submitted more than one week and less than 2 weeks late will receive a 20% deduction.
  5. Discussion board submitted more than 2 weeks late will not be accepted.
  6. Group projects, including group discussion board threads and/or replies, and assignments will not be accepted after the due date.

Special circumstances (e.g. death in the family, personal health issues) will be reviewed by the instructor on a case-by-case basis.

For other assignments, please refer to the standard Late Assignment Policy, below. 

Late Assignment Policy

Course Assignments, including discussions, exams, and other graded assignments, should be submitted on time.

If the student is unable to complete an assignment on time, then he or she must contact the instructor immediately by email.

Assignments that are submitted after the due date without prior approval from the instructor will receive the following deductions:

  1. Late assignments submitted within one week after the due date will receive up to a 10% deduction.
  2. Assignments submitted more than one week and less than 2 weeks late will receive up to a 20% deduction.
  3. Assignments submitted two weeks late or after the final date of the course will not be accepted outside of special circumstances (e.g. death in the family, significant personal health issues), which will be reviewed on a case-by-case basis by the instructor.
  4. Group projects, including group discussion threads and/or replies, and assignments will not be accepted after the due date outside of special circumstances (e.g. death in the family, significant personal health issues), which will be reviewed on a case-by-case basis by the instructor.

Disability Assistance

Students with a disability and those with medical conditions associated with pregnancy may contact Liberty University’s Online Office of Disability Accommodation Support (ODAS) at [email protected] for accommodations.  Such accommodations require appropriate documentation of your condition.   For more information about ODAS and the accommodations process, including how to request an accommodation, please visit https://www.liberty.edu/online/online-disability-accommodation-support/. Requests for accommodations not related to disabilities or pregnancy must be directed to the Registrar’s Office, which generally handles medical needs support.

If you have a complaint related to disability discrimination or an accommodation that was not provided, you may contact ODAS or the Office of Equity and Compliance by phone at (434) 592-4999 or by email at [email protected].  Click to see a full copy of Liberty’s Discrimination, Harassment, and Sexual Misconduct Policy or the Student Disability Grievance Policy and Procedures.

Course Attendance

In an effort to comply with U.S. Department of Education policies, attendance is measured by physical class attendance or any submission of a required assignment within the enrollment dates of the course (such as examinations, written papers or projects, any discussion posts, etc.) or initiating any communication with one’s professor regarding an academic subject. More information regarding the attendance policy can be found in the Academic Course Catalogs. Regular attendance in online courses is expected throughout the length of the term. Students who do not attend within the first week of a sub-term by submitting a required academic assignment (such as the Course Requirements Checklist, an examination, written paper or project, discussion post, or other academic activity) will be dropped from the course. Students who wish to re-engage in the course are encouraged to contact Academic Advising to discuss their enrollment options. Students who begin an online course, but at some point in the semester cease attending, and do not provide official notification to withdraw, will be assigned a grade of “FN” (Failure for Non-Attendance). Students wishing to withdraw from courses after the official start date should familiarize themselves with the withdrawal policy.

Grading Scale

A B C D F
900-1010 800-899 700-799 600-699 0-599

For courses with a Pass/NP final grade, please refer to the Course Grading section of this syllabus for the assignment requirements and/or point value required to earn a Passing final grade.

Add/Drop Policy

The full policy statement and procedures are published in the Policy Directory.

Honor Code

Liberty University comprises a network of students, Alumni, faculty, staff and supporters that together form a Christian community based upon the truth of the Bible. This truth defines our foundational principles, from our Doctrinal Statement to the Code of Honor. These principles irrevocably align Liberty University’s operational procedures with the long tradition of university culture, which remains distinctively Christian, designed to preserve and advance truth. Our desire is to create a safe, comfortable environment within our community of learning, and we extend our academic and spiritual resources to all of our students with the goal of fostering academic maturity, spiritual growth and character development.

Communities are predicated on shared values and goals. The Code of Honor, an expression of the values from which our Doctrinal Statement was born, defines the fundamental principles by which our community exists. At the core of this code lie two essential concepts: a belief in the significance of all individuals, and a reliance on the existence of objective truth.

While we acknowledge that some may disagree with various elements of the Code of Honor, we maintain the expectation that our students will commit to respect and uphold the Code while enrolled at Liberty University.

Adherence to the principles and concepts established within facilitates the success of our students and strengthens the Liberty community.

The Code of Honor can be viewed in its entirety at http://www.liberty.edu/index.cfm?PID=19155.

Schedule

Course calendar and related activities
When Topic Notes
Course Overview
Student Acknowledgements

Course Requirements Checklist

Technology Integration Set-Up

[Any required tech integration assignment set-up. Ex., "Quiz: Connect Registration"]

Module 1
Learn

Read: 5 items

Watch: 4 items

Interact: 1 item

Apply

HW: H01 Introduction to Limits Assignment

Prerequisite Project Assignment

Quiz: MQ1 Introduction to Limits

Module 2
Learn

Read: 3 items

Watch: 2 items

Apply

HW: H02 Limits Involving Infinity Assignment

Quiz: MQ2 Limits Involving Infinity

Module 3
Learn

Read: 2 items

Watch: 1 item

Apply

HW: H03 Precise Formulation of Limits Assignment

Quiz: MQ3 Precise Formulation of Limits

Module 4
Learn

Read: 3 items

Watch: 2 items

Apply

HW: H04 Continuity Assignment

Quiz: Limits Test

Module 5
Learn

Read: 4 items

Watch: 3 items

Apply

HW: H05 Definition of the Derivative Assignment

Quiz: MQ4 Definition of the Derivative

Module 6
Learn

Read: 11 items

Watch: 9 items

Apply

HW: H06 Derivative Rules (Part 1) Assignment

HW: H07 Derivative Rules (Part 2) Assignment

Quiz: Limits Test Corrections Assignment (Optional)

Quiz: MQ5 Derivative Rules (Part 1)

Quiz: MQ6 Derivative Rules (Part 2)

Module 7
Learn

Read: 4 items

Watch: 3 items

Apply

HW: H08 Related Rates & Linear Appr. Assignment

Quiz: Calculating Derivatives Test

Module 8
Learn

Read: 5 items

Watch: 4 items

Apply

HW: H09 Maximum and Minimum Values Assignment

Quiz: MQ7 Maximum and Minimum Values

Module 9
Learn

Read: 4 items

Watch: 3 items

Apply

HW: H10 Prop. of Graphs from Calculus Assignment

Quiz: Calculating Derivatives Test Corrections Assignment (Optional)

Quiz: MQ8 Properties of Graphs from Calculus

Module 10
Learn

Read: 5 items

Watch: 4 items

Apply

HW: H11 Other Topics in Diff. Calculus Assignment

Quiz: MQ9 Other Topics in Differential Calculus

Module 11
Learn

Read: 2 items

Watch: 1 item

Apply

HW: H12 Approximating Area Assignment

Quiz: Applications of Derivatives and Riemann Sums Test

Module 12
Learn

Read: 13 items

Watch: 11 items

Apply

HW: H13 Antiderivatives Assignment

HW: H14 Variable Substitution Assignment

Quiz: Application of Derivatives and Riemann Sums Test Corrections Assignment (Optional)

Quiz: MQ10 Antiderivatives

Quiz: MQ11 Variable Substitution

Module 13
Learn

Read: 5 items

Watch: 4 items

Apply

HW: H15 Area Btwn Curves & Vol. of Rev. Assignment

Quiz: MQ12 Area Btwn Curves & Volumes of Revolution

Module 14
Learn

Read: 2 items

Watch: 1 item

Apply

HW: H16 Work and Average Value Assignment

Quiz: Overview of Calculus I Test