This course includes material on functions, limits, continuity, the derivative, anti-differentiation, the definite integral, and techniques of integration.

Name |
Office |
Phone |
Email |
---|---|---|---|

Dawit Aberra | Fort Valley State University | 478-825-6199 | aberrad@fvsu.edu |

Allison W. Arnold | University of Georgia | 706-542-2645 | awarnold@uga.edu |

James "Jim" Bellon | University of West Georgia | 678-839-4140 | jbellon@westga.edu |

Solomon Betanga | Gordon State College | 678-359-5891 | sbetanga@gordonstate.edu |

Kyle Carter | University of West Georgia | 770-826-3470 | kylec@westga.edu |

David Cook | Kennesaw State University | 706-968-2641 | dcook47@kennesaw.edu |

Malcom Devoe | University of West Georgia | 678-768-4692 | mdevoe@westga.edu |

Raghu Gompa | Atlanta Metropolitan State College | 404-756-4491 | rgompa@atlm.edu |

Abdollah Khodkar | University of West Georgia | 678-839-4126 | akhodkar@westga.edu |

Joshua Lambert | Armstrong State University | 912-344-3127 | joshua.lambert@armstrong.edu |

Chinenye Ofodile | Albany State University | 229-430-2946 | chinenye.ofodile@asurams.edu |

Hyounkyun Oh | Savannah State University | 912-358-4301 | hoh@savannahstate.edu |

Floyd Vince Postell | Dalton State College | 706-272-4419 | vpostell@daltonstate.edu |

Lila Roberts | Clayton State University | 678-466-4404 | lilaroberts@clayton.edu |

Michael Tiemeyer | Armstrong State University | 912-344-2929 | michael.tiemeyer@armstrong.edu |

Patcharin Tragoonsirisak-Marion | Fort Valley State University | 478-825-6199 | tragoonsirisakp@fvsu.edu |

Taylor Wars | Albany State University | 229-317-6883 | taylor.wars@asurams.edu |

David Williams | Clayton State University | 678-466-4429 | davidwilliams@clayton.edu |

Sandra Xhumari | Dalton State College | 706-272-2169 | sxhumari@daltonstate.edu |

Mohammad Yazdani | University of West Georgia | 678-839-4132 | myazdani@westga.edu |

4

Credit Hours

- See your home institution's prerequisite requirement.

**FREE**

Calculus Volume 1

**After completing this course, you will be able to:**

- Calculate and evaluate limits and represent these concepts graphically, algebraically, numerically and in words.
- Apply knowledge of limits and continuity to analyze and solve real-world problems.
- Determine when the use of technology is appropriate in solving problems related to limits and continuity, and how to apply the technology.
- Explain the definition of derivative and how it is related to tangent lines and rates of change, and to compute derivatives from the limit definition.
- Compute derivatives using all of the standard rules, displaying in particular a strong mastery of the Chain Rule.
- Compute derivatives of trigonometric functions and compute closely related trigonometric limits.
- Explain the concept of an implicitly defined function, and use the technique of implicit differentiation to differentiate functions that are defined implicitly.
- Model and solve related rates problems.
- Solve problems related to rates of change.
- Identify and describe properties of functions and their graphs.
- Apply the properties of functions and their graphs to real life problem situations.
- Calculate anti-derivatives by using some basic rules.
- Evaluate anti-derivatives using the substitution technique.
- Define the definite integral.
- Evaluate a few definite integrals using the definition as a limit of Riemann sums.
- State the Fundamental Theorem of Calculus.
- Apply the Fundamental Theorem of Calculus to evaluate definite integral.

- Unit 0 - Review of Functions and their Properties (optional, non-graded)
- Unit 1 - Limits and Continuity
- Lesson 1.1 - Introduction to Limits
- Lesson 1.2 - Finding Limits
- Lesson 1.3 - Calculating Limits
- Lesson 1.4 - Infinite Limits
- Lesson 1.5 - Continuity and Discontinuity
- Unit 2 - Derivatives and Differentiation
- Lesson 2.1 - The Derivative Concept
- Lesson 2.2 - The Calculus of Derivatives
- Lesson 2.3 - Derivatives of Trigonometric Functions
- Lesson 2.4 - The Chain Rule
- Lesson 2.5 - Implicit Differentiation
- Lesson 2.6 - Related Rates
- Lesson 2.7 - Differentiation of Logarithmic and Exponential Functions
- Unit 3 – Applications of the Derivative
- Lesson 3.1 - Linear Approximation
- Lesson 3.2 - The Mean Value Theorem
- Lesson 3.3 - Derivatives and Graphs of Functions, Part I
- Lesson 3.4 - Derivatives and Graphs of Functions, Part II
- Lesson 3.5 - Average and Instantaneous Rate of Change
- Unit 4 – Integration
- Lesson 4.1 - Antidifferentiation
- Lesson 4.2 - Integration by Substitution
- Lesson 4.3 - Definite Integrals
- Lesson 4.4 - The Fundamental Theorem of Calculus

**Your final grade will be based on the following breakdown. Please note that each instructor may choose to make modifications.**

- Participation/Discussions – 5%
- Online Quizzes – 15%
- Online Exams (4) – 40%
- Proctored Midterm Exam – 20%
- Proctored Final Exam – 20%

You will need access to one of the following graphing calculators to complete the activities in MATH 1501: TI-83 or TI-84 with computer cable or TI-83 Plus or TI-84 Plus.

It is also important to note that you will be required to submit your worked examples -hand written or produced in Word- for the Online Exams. For that reason, you must have access to some type of recording device to capture and submit your work:

- Microsoft Word to demonstrate your work in a text format
*or* - Digital camera, phone camera, scanner or webcam to submit a photo copy of your hand-written work.