Courses


Course Descriptions

Calculus I - MATH 1501

Description

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


MATH 1501 - Summer 2024

Course Instructor
MATH 1501 1AGBlanche Presley
blanche.presley@mga.edu
MATH 1501 1BGBarry Monk
barry.monk@mga.edu
MATH 1501 1CGElliot Krop
elliotkrop@clayton.edu
MATH 1501 1DGMichael Tiemeyer
mtiemeyer@georgiasouthern.edu
MATH 1501 1EGstaff
4

Credit Hours


Prerequisites

  • 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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