# Calculus

## CALC100 — Calculus I, 3.0 hours

This primary course on Calculus is designed for students intending to continue to advance courses in calculus, and mathematics in general. Topics include a detailed study of differential calculus and its applications and are introduced to antiderivatives.

Programs Objectives

- Find limits of functions of one variable
- Determine where a function is continuous
- Evaluate derivatives of elementary functions of one variable
- Analyze the behavior of functions and use the analysis to graph them
- Solve application problems involving derivatives
- Evaluate elementary integrals
- Evaluate derivatives and integrals of transcendental functions
- Utilize various differentiation and integration techniques

## Professor

Lauren graduated from Marietta College with a Bachelor of Science in Mathematics and a minor in Philosophy. She received her Master of Science from The University of Akron in Applied Mathematics. While completing her Masters research, she worked as a Statistician at American Greetings in Cleveland, Ohio. She also has completed coursework and research towards a Ph.D. in Engineering Applied Mathematics at The University of Akron. While going to school at UA, she was employed as a Graduate Assistant and taught many courses in the Mathematics department Her daughter is almost two years old and Lauren enjoys spending time with family, attending Cleveland Cavaliers games, running, yoga, cooking, gardening, and reading.

## Online Support (IT) and Moodle Navigation

All members of the Lakewood University community who use the University’s computing, information or communication resources must act responsibly. Support is accessible by calling 1-800-517-0857 option 2 or by emailing info@lakewood.edu

## Books and Resources

Larson, Ron, and Bruce H. Edwards. Calculus. 12th Edition. Cengage Learning US, 2022.

## Evaluation Method

Graded work will receive a numeric score reflecting the quality of performance.

Course Requirement Summary

- Assignments - Total of 100 Points
- Weekly discussion forums-Total of 80 Points
- Final Exam - 50 Points

## Grading Scale

Graded work will receive a numeric score reflecting the quality of performance as given above in evaluation methods. The maximum number of points a student may earn is 230. To determine the final grade, the student's earned points are divided by 230.

Your overall course grade will be determined according to the following scale:

A = (90% -100%)

B = (80% - 89%)

C = (70% - 79%)

F < (Below 70%)

## Assignment and Discussion Forum Post Rubrics

### Writing Assignment Grading Rubric

Points |
Excellent |
Good |
Poor |
Very Poor |
No Response |

Original Posting ____/10 |
Writing assignment was well thought out, coherent, and thoughtfully organized with all parts of the questions addressed along with appropriate grammar and spelling |
Writing was clear and relatively well organized and responded to many/most of the key points with a few mistakes in regard to grammar and spelling |
Writing was somewhat confusing and not well organized and had little or no focus on the subject matter with significant grammar and spelling errors |
Writing is confusing and hard to follow with no organization while missing the point of the assignment entirely |
No Assignment |

Total Points ____/10 |
Additional Comments: |

### Discussion Question Grading Rubric

Points |
Excellent Pass |
Good Pass |
Poor Fail |
No Response Fail |

Original Posting PASS/FAIL |
Original post reflected good focus to the discussion with well thought out ideas and appropriate grammar and spelling |
Original post responded to the topic in a general fashion but failed to organize them well and had a few mistakes in regard to grammar and spelling |
Responded with little or no focus to the discussion and contained short, irrelevant and/or confusing commentary with significant grammar and spelling errors |
No posting |

Reply to fellow student PASS/FAIL |
Response to fellow student reflected good focus to the post with well thought out ideas and appropriate grammar and spelling |
Response to fellow student in a general fashion but failed to organize them well and had a few mistakes in regard to grammar and spelling |
Little or no focus to the post and contained short, irrelevant and/or confusing commentary with significant grammar and spelling errors |
No posting |

Total Points PASS/FAIL |
Additional Comments: |

## Academic Integrity/ Plagiarism

Cheating (dishonestly taking the knowledge of another person whether on a test or an assignment and presenting it as your work) and plagiarism (to take and pass off as one's own the ideas or writing of another) are a serious issue. While it is legitimate to talk to others about your assignments and incorporate suggestions, do not let others "write" your assignments in the name of peer review or "borrow" sections or whole assignments written by others. We do get ideas from life experiences and what we read but be careful that you interpret these ideas and make them your own.

I am aware that many types of assignments are available on the internet and will check these sources when there is legitimate suspicion.

Penalty is a zero on the assignment. In cases where there is a major or continuous breach of trust, further discipline, such as an "F" in the course, may be necessary.

The major consequence of any form of cheating is damage to your character and the result of trust and respect.

## Disability Accommodations

Students who have a disability and wish to request an academic accommodation should contact Jim Gepperth, the Disabilities Services Coordinator and Academic Dean. The student can request an accommodation at any time although it is encouraged to do so early in the enrollment process. The student should complete an accommodation request form which begins a conversation between the school and the student regarding the nature of their disability and an accommodation that would help the student succeed in their program. The school may request documentation regarding the disability to address the accommodation request effectively. The school will communicate to the student the type of accommodation arranged. This process typically follows a team approach, bringing together persons from the academic department (including the instructor) and personnel from other departments as necessary. Additional information on disability accommodations may be found in the Lakewood University Catalog.

Disability Services Email: disabilityservices@lakewood.edu

## Supplemental Texts

You can use the following resources to assist you with proper source citation.

American Psychological Association Style Guide- https://www.mylakewoodu.com/pluginfile.php/118179/mod_resource/content/1/APA%20Style%20Guide%207th%20edition.pdf

The Purdue OWL website is also a helpful resource for students. Here is a link to the OWL website: https://owl.purdue.edu/owl/research_and_citation/apa_style/apa_formatting_and_style_guide/general_format.html

## Library

Mary O'Dell is the Librarian on staff at Lakewood University

She is available by appointment. You can make an appointment with her by emailing her at modell@lakewood.edu or call at 1-800-517-0857 X 730

You may also schedule a meeting at this link: https://my.setmore.com/calendar#monthly/r3a761583354923270/01032020

She can assist you with navigating LIRN, research, citations etc.

## Support

Each student at Lakewood University is assigned a Success Coach. Your Success Coach exists to assist you with academic and supportive services as you navigate your program. They will reach out to you, often, to check-in. Please use the resources they offer.

Student Services is available to assist with technical questions regarding Lakewood University and all services available to you.

1-800-517-0857 option 2

info@lakewood.edu

studentservices@lakewood.edu

## Career Services

Students are offered Career Services at any point as they journey their academics at Lakewood University.

1-800-517-0857 option 2

careerservices@lakewood.edu

## Objectives

- Find limits of functions of one variable
- Determine where a function is continuous
- Evaluate derivatives of elementary functions of one variable
- Analyze the behavior of functions and use the analysis to graph them
- Solve application problems involving derivatives
- Evaluate elementary integrals
- Evaluate derivatives and integrals of transcendental functions
- Utilize various differentiation and integration techniques

## Lessons

- A Preview of Calculus
- Finding Limits Graphically and Numerically
- Evaluating Limits Analytically Continuity and One-Sided Limits

Study Course Syllabus

Read Chapters 1.1- 1.4

Participate in the Discussion Forum

Complete Assignment 1

Lesson Evaluation

- Infinite Limits
- The Derivative and the Tangent Line Problem
- Basic Differentiation Rules and Rates of Change
- Product and Quotient Rules and Higher-Order Derivatives

Read Chapters 1.5 & 2.1-2.3

Participate in the Discussion Forum

Lesson Evaluation

- The Chain Rule
- Implicit Differentiation
- Related Rates

Read Chapters 2.4-2.6

Participate in the Discussion Forum

Complete Assignment 2

Lesson Evaluation

- Extrema on an Interval
- Rolle’s Theorem and the Mean Value Theorem
- Increasing and Decreasing Functions and the First Derivative Test
- Concavity and the Second Derivative Test

Read Chapters 3.1-3.4

Participate in the Discussion Forum

Lesson Evaluation

- Limits at Infinity
- A Summary of Curve Sketching
- Optimization Problems
- Newton’s Method
- Differentials

Read Chapters 3.5-3.9

Participate in the Discussion Forum

Complete Assignment 3

- Antiderivatives and Indefinite Integration
- Area
- Riemann Sums and Definite Integrals
- The Fundamental Theorem of Calculus
- Integration by Substitution

Read Chapters 4.1-4.5

Participate in the Discussion Forum

Complete Assignment 4

Lesson Evaluation

- The Natural Logarithmic Function: Differentiation
- The Natural Logarithmic Function: Integration
- Inverse Functions
- Exponential Functions: Differentiation and Integration
- Bases Other Than e and Applications

Read Chapters 5.1-5.5

Participate in the Discussion Forum

Lesson Evaluation

- Indeterminate Forms and L’Hôpital’s Rule
- Inverse Trigonometric Functions: Differentiation
- Inverse Trigonometric Functions: Integration
- Hyperbolic Functions

Read Chapter 5.6-5.9

Participate in the Discussion Forum

Complete Assignment 5

Complete the Final Exam

Request the Next Course

Lesson Evaluation

**THANKS FOR A GREAT CLASS**