*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.

## Calculus Products

The *Calculus* Student Pack contains the Student Workbook with lesson-by-lesson worksheets and the *Calculus* Tests.

The *Calculus* Instruction Pack contains the instruction manual with lesson-by-lesson instructions and detailed solutions, and the DVD with lesson-by-lesson video instruction.

# Calculus

## Derivatives, integrals, calculus applications, differential equations, and more.

Major Concepts and Skills Include:

- Understanding limits and continuity
- Working with derivatives and derivative rules
- Using Implicit Differentiation
- Applying L’Hôpital’s Rule
- Working with definite and indefinite integrals
- Working with exponential and logarithmic functions and their derivatives

Additional Concepts and Skills:

- Applying the Chain Rule and the Mean Value Theorem
- Optimizing with calculus
- Understanding antiderivatives
- Working with integration formulas
- Solving differential equations
- Applying calculus to physics and economics

## Explore Primer's Scope and Sequence

## Table of Contents:

- Terminology and Graphing
- Quadratic Equations
- Review of Conic Sections
- Review of Systems of Equations
- Functions
- Review of Trigonometry
- Review of Exponents and Logarithms
- Limits
- Continuity in Limits
- Definition of a Derivative
- Derivative Rules
- Chain Rule
- Derivatives of Trigonometric Functions
- Derivatives of ex and lnx
- Implicit Differentiation
- Graphing with the First Derivative
- Graphing with the Second Derivative
- Mean Value Theorem
- L’Hopital’s Rule
- Physics Applications
- Economics Applications
- Optimization Applications
- Related Rates
- Antiderivatives
- Integration Formulas
- Area Under a Curve
- Definite Integrals
- Area Between Two Curves
- Inverse Trigonometric Functions
- Integration using Tables
- Differential Equations
- Differential Equation Applications

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## Calculus

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

- Calculus Overview
- Concepts and Skills
- Scope & Sequence
- Sample Lesson

# 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.

#### What concepts are taught in Calculus?

###### Major Concepts and Skills Include:

- Understanding limits and continuity
- Working with derivatives and derivative rules
- Using Implicit Differentiation
- Applying L’Hôpital’s Rule
- Working with definite and indefinite integrals
- Working with exponential and logarithmic functions and their derivatives

###### Additional Concepts and Skills:

- Applying the Chain Rule and the Mean Value Theorem
- Optimizing with calculus
- Understanding antiderivatives
- Working with integration formulas
- Solving differential equations
- Applying calculus to physics and economics

#### Lessons contained in Calculus

- 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

# Lesson 6: Exponential and Logarithmic Functions

Use Math-U-See’s four step approach and try out an example lesson from the Calculus level.

Step 1: Watch the video and review the material in the sample PDF below.

Step 2: Present the concept to your child using the build, write and say method.

Step 3: Have your student practice the concept using the sample PDF below.

Step 4: Evaluate their level of mastery and if ready move on to the next lesson.

Each lessons A, B, and C pages are used to teach the current lessons concept. The lettered lesson pages that come after those are for systematic review. These review pages may not be necessary for your child to fully complete, they should be used to practice the concepts they have not yet mastered or to review the concepts they have.

##### Still Unsure? Have your child take one of our Placement Assessments to see if this is the right level for them!

# Calculus Individual Items

All of our Math-U-See books are the Canadian Edition and we are the only authorized retailer in Canada able to offer it.

- Canadian Edition

*Calculus*Student Pack contains the Student Workbook with lesson-by-lesson worksheets and the

*Calculus*Tests.

## $68.50

- Canadian Edition

*Calculus*Instruction Pack contains the instruction manual with lesson-by-lesson instructions and detailed solutions, and the DVD with lesson-by-lesson video instruction.

## $146.50

**Note about the Canadian Edition:** MathCanada is the only authorized distributor for the Canadian Edition of Math-U-See. Every Math-U-See book we sell will be the Canadian Edition. If you are purchasing your books from another vendor, unless they are used, will be the US version which does not contain Canadian content such as the metric system or Canadian money.