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 W. Arnold University of Georgia
James "Jim" Bellon University of West Georgia
Solomon Betanga Gordon State College
Kyle Carter University of West Georgia
David Cook Kennesaw State University
Malcom Devoe University of West Georgia
Raghu Gompa Atlanta Metropolitan State College
Abdollah Khodkar University of West Georgia
Joshua Lambert Armstrong State University
Chinenye Ofodile Albany State University
Hyounkyun Oh Savannah State University
Floyd Vince Postell Dalton State College
Lila Roberts Clayton State University
Michael Tiemeyer Armstrong State University
Patcharin Tragoonsirisak-Marion Fort Valley State University
Taylor Wars Albany State University
David Williams Clayton State University
Sandra Xhumari Dalton State College
Mohammad Yazdani University of West Georgia

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.
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