Course Descriptions

Calculus I - MATH 1501


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
Allison Arnold University of Georgia
Agegnehu Atena Savannah State University
Jim Bellon University of West Georgia
Solomon Betanga Gordon State College
Robert Burnham University of West Georgia
Kyle Carter University of West Georgia
David Cook Kennesaw State University
Anilkumar Devarapu University of North Georgia
Malcom Devoe University of West Georgia
Raghu Gompa Atlanta Metropolitan State College
Michael Hammock Middle Georgia State University
Matthew Houston University of North Georgia
Abdollah Khodkar University of West Georgia
Gretchen Kotz Georgia Highlands College
Elliot Krop Clayton State University
Joshua Lambert Georgia Southern University
Patcharin Marion Fort Valley State University
Barry Monk Middle Georgia State University
Chinenye Ofodile Albany State University
Hyounkyun Oh Savannah State University
Floyd Vince Postell Dalton State College
Blanche Presley Middle Georgia State University
Robert Pruvenok Georgia State University
Bhukan Rathore Georgia Highlands College
Lila Roberts Clayton State University
Tomás Merchán Rodríguez Clayton State University
Lawrence Ssebaggala Dalton State College
Michael Tiemeyer Georgia Southern University
Taylor Wars Albany State University
David Williams Clayton State University
Sandi Xhumari Dalton State College
Mohammad Yazdani University of West Georgia
Jianmin Zhu Fort Valley State University

Credit Hours


  • See your home institution's prerequisite requirement.

Free Textbook

  • Open educational resources (OER)

Course Equivalency

After completing this course, you will be able to:

Limits and Continuity :

  • 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 for solving problems related to limits and continuity, and how to apply the technology.

Derivatives and Differentiation :

  • 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.

Applications of the Derivative :

  • 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.

Integration :

  • 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 1: The Limit of a Function
  • Unit 2: Limit Laws and Continuity
  • Unit 3: Introduction to Derivatives
  • Unit 4: Advanced Derivatives
  • Unit 5: Applications of Derivative 1
  • Unit 6: Applications of Derivative 2
  • Unit 7: Antiderivatives and the Definite Integral
  • Unit 8: Integration

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

  • Attendance Verification 1%
  • Participation & Discussions 5%
  • Homework (x4) 10%
  • Math Learning Project 4%
  • Lesson Quizzes (x16) 10%
  • Online Exams (x4) 40%
  • Proctored Midterm Exam 15%
  • Final Exam 15%

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.

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