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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.


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Prepare for the lesson

Step 2
Present and explore
the new concept

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Practice for mastery

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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? Student Workbook and Tests Instruction Manual DVDs

What do I need?

To successfully complete the Calculus level, you will need:

  • Instruction Manual — includes detailed instructions and solutions
  • Instructional lesson videos — available on DVD
  • Student Workbook — includes Lesson Practice, Systematic Review, and Application and Enrichment worksheets
  • Test booklet

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

Purchasing for a classroom?

Typically, sets are not recommended for a classroom setting. 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

Student Workbook and Tests

Equip your student with the materials they need to take their learning to the next level. The Calculus Student Workbook and Tests features just the student resources and is ideal for learning environments where the instructor already owns the Instruction Manual and lesson videos, and the student needs only the consumable materials.

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Instruction Manual

The Calculus Instruction Manual with DVDs features the resources instructors need to teach this level including the Instruction Manual and Instructional lesson videos on a DVD. It is ideal for instructors whose students have the Student Workbook and Tests booklet.

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DVDs

The Calculus DVDs feature the videos instructors need to teach this level and are ideal for instructors who already own the Instruction Manual, and whose students have all the necessary student materials including the Student Workbook and Tests Booklet.

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      • Algebra 1: Legacy Edition
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      • AIM for Addition and Subtraction
      • AIM for Multiplication
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