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Home Products Math-U-See Curriculum Calculus

Calculus

Derivatives, Integrals, Calculus Applications, Differential Equations, and More

Calculus begins with a review of graphing, functions, limits, and basic trigonometry. The course introduces derivatives and integrals, along with various techniques and rules for using them. A wide variety of application problems involving science, business, and other topics are included. It is equivalent to a one-year high school calculus course.

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Scope and Sequence

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Sample Lesson

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  • Lesson 01: Terminology and Graphing
  • Lesson 02: Parabola, Circle, and Ellipse
  • Lesson 03: Hyperbolas and Systems of Equations
  • Lesson 04: Functions
  • Lesson 05: Trigonometry
  • Lesson 06: Exponential and Logarithmic Functions
  • Lesson 07: Limits
  • Lesson 08: Continuity in Limits
  • Lesson 09: Definition of a Derivative
  • Lesson 10: Derivative Rules
  • Lesson 11: Chain Rule
  • Lesson 12: Derivatives of Trigonometric Functions
  • Lesson 13: Derivatives of ex and ln(x)
  • Lesson 14: Implicit Differentiation
  • Lesson 15: Graphing with the First Derivative
  • Lesson 16: Graphing with the Second Derivative; Concavity and Inflection
  • Lesson 17: Mean Value Theorem; L’Hopital’s Rule
  • Lesson 18: Physics Applications
  • Lesson 19: Economics Applications
  • Lesson 20: Optimization Applications
  • Lesson 21: Related Rates
  • Lesson 22: Antiderivatives
  • Lesson 23: Integration Formulas
  • Lesson 24: Area Under a Curve
  • Lesson 25: Definite Integrals
  • Lesson 26: Area Between Two Curves
  • Lesson 27: Inverse Trigonometric Functions
  • Lesson 28: Integration Using Tables
  • Lesson 29: Differential Equations
  • Lesson 30: Differential Equation Applications

Sample Lesson

View a Calculus Sample PDF

Placement

You student may be ready for Calculus if they have successfully completed Algebra 1, Geometry, Algebra 2, and PreCalculus (Trigonometry/Advanced Math).

Math-U-See’s placement tools are designed to help ensure proper initial placement and will give you a clear indication of if your student is ready for Calculus.

Placement Tool for Individual Users

Placement Tools for Classroom Users

The Four-Step Approach

Get the most out of Math-U-See by using the four-step approach.


Step 1
Prepare for the lesson

Step 2
Present and explore
the new concept

Step 3
Practice for mastery

Step 4
Progress after mastery
Read More About Using Our Four-Step Approach

Placement

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The Four-Step Approach

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Calculus Products

What do I need? Instruction Pack Student Pack

What do I need?

To successfully complete the Calculus level, you will need:

  • Instruction Manual — includes detailed instructions and solutions
  • Instructional videos — available on DVDs
  • Student Workbook — includes Lesson Practice pages
  • Tests booklet

Browse our sets to find the best fit for your needs.

Purchasing for a classroom?

If you are purchasing for a school or large group, please contact our School Sales Team.

Our School Sales Team:

  • Provides customized quotes—ensuring you receive the correct products at the best pricing
  • Manages purchase orders
  • Provides personalized account management
  • Allows you to apply your tax-exempt status

Contact Our School Sales Team

Instruction Pack

For customers who only need instruction materials.

The Instruction Pack includes:

  • Instruction Manual
  • Instructor DVDs

Purchase the Calculus Instruction Pack

Student Pack

For customers who already have the needed instructor materials.

The Student Pack includes:

  • Student Workbook
  • Tests booklet

Each student will need their own Student Workbook and Tests booklet.

Purchase the Calculus Student Pack

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      • Epsilon
      • Zeta
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      • Algebra 1: Principles of Secondary Mathematics
      • Algebra 1: Legacy Edition
      • Geometry
      • Algebra 2
      • PreCalculus
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    • Integrated Manipulatives
    • Accelerated Individualized Mastery
      • AIM for Addition and Subtraction
      • AIM for Multiplication
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    • Digital Toolbox
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