The Calculus for Arts and Social Science Content Pack is a Möbius course developed by the University of Waterloo that you can use as a customizable starting point to a complete calculus course in Möbius. This Content Pack covers applications of calculus in business, the behavioural sciences, and the social sciences. The models studied involve polynomial, rational, exponential and logarithmic functions. The major concepts introduced to solve problems are: rate of change, optimization, growth and decay, and integration. This customizable resource contains 9 units of sectioned lessons and assignments enhanced with Möbius capabilities including algorithmic questions, in-lesson questions with unlimited practice, Math Apps, interactive narratives, Geogebra resources, immediate feedback, and end-of-section assignments.

How does Möbius take the University of Waterloo’s content to the next level?

  • Lessons contain interactive elements like Interactive Narratives, HTML objects, Math Apps, or Geogebra applications to help solidify difficult STEM concepts.

  • Learn how Möbius’ unique STEM question types throughout this content provide the best STEM learning experience.

  • Work with over 50 configurable assessment properties when modifying existing or building your own assessments.

Course Structure

  • All content is organized into 9 units for easy navigation
  • Course materials provide a solid foundation for creating your course offering which include 36 lessons that promote Active Learning by including illustrative visualizations, interactive elements, and example problems with immediate feedback
  • Different forms of assessment materials are distributed across 13 assignments to evaluate student comprehension through a variety of different question types
  • Pull from a vast selection of over 440 questions that you can use to create your own lessons and assignments or supplement existing ones
9 units
36 lessons
13 assignments
440+ questions

Unit 1: Prerequisite Skills

  • 1.1 Algebraic Techniques

  • 1.2 Functions and Graphs

  • 1.3 Polynomial Functions

  • 1.4 Rational Functions

  • 1.5 Other Functions

Unit 2: Limits and Continuity

  • 2.1 Limits from Graphs

  • 2.2 Limit Laws

  • 2.3 Building Continuous Functions

  • 2.4 Limits at Infinity

  • 2.5 Indeterminate Forms

Unit 3: Derivatives

  • 3.1 Rate Of Change

  • 3.2 The Definition of the Derivative

  • 3.3 Techniques of Differentiation

  • 3.4 Tangent Lines

  • 3.5 Implicit Differentiation

  • 3.6 Exponential and Logarithmic Functions

Unit 4: Applications of the Derivative

  • 4.1 The First Derivative

  • 4.2 The Second Derivative

  • 4.3 Graphing Functions

  • 4.4 Optimization

  • 4.5 Rates of Change

  • 4.6 Related Rates

  • 4.7 Linear Approximations

Unit 5: Antiderivatives

  • 5.1 Antiderivatives

  • 5.2 Applications

Unit 6: Integrals

  • 6.1 Integration and the Indefinite Integral

  • 6.2 The Definite Integral

  • 6.3 Area

Unit 7: Applications of Integrals

  • 7.1 Rates of Change

  • 7.2 Business Applications of Integrals

  • 7.3 Probability

  • 7.4 Average Value and Length of a Curve

Unit 8: Differential Equations

  • 8.1 Differential Equations

  • 8.2 Population Growth

  • 8.3 Radioactive Decay

  • 8.4 Newton's Law of Cooling


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