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The CUNY Assessment Test in Mathematics. Sample Problems
College Board AP. STATISTICS. Course Description
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College Board AP. COMPUTER SCIENCE A. Course Description
College Board AP. CALCULUS: CALCULUS AB; CALCULUS BC. Course Description
College Board AP. PHYSICS. PHYSICS B. PHYSICS C: MECHANICS. PHYSICS C: ELECTRICITY AND MAGNETISM. Course Description
College Board. Advanced Placement Program. AP. Physics C: Mechanics. 2008 Free-Response Questions
College Board. Advanced Placement Program. AP. Physics C: Electricity and Magnetism. 2008 Free-Response Questions
College Board. Advanced Placement Program. AP. Physics C: Electricity and Magnetism. 2009 Free-Response Questions
College Board. Advanced Placement Program. AP. Physics C: Mechanics. 2009 Free-Response Questions

Worksheets

Rational Expressions
Mixture Word Problems
Distance Rate Time Word Problems
Work Word Problems
Systems of Equations Word Problems
Solving Rational Equations 2
Simplifying Rational Expressions

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The following released test questions are taken from the math Standards Test
  1. The CUNY Assessment Test in Mathematics. Sample Problems
  2. College Board AP. STATISTICS. Course Description
  3. College Board AP. ENVIRONMENTAL SCIENCE. Course Description
  4. College Board AP. COMPUTER SCIENCE A. Course Description
  5. College Board AP. CALCULUS: CALCULUS AB; CALCULUS BC. Course Description
  6. College Board AP. PHYSICS. PHYSICS B. PHYSICS C: MECHANICS. PHYSICS C: ELECTRICITY AND MAGNETISM. Course Description
  7. College Board. Advanced Placement Program. AP. Physics C: Mechanics. 2008 Free-Response Questions
  8. College Board. Advanced Placement Program. AP. Physics C: Electricity and Magnetism. 2008 Free-Response Questions
  9. College Board. Advanced Placement Program. AP. Physics C: Electricity and Magnetism. 2009 Free-Response Questions
  10. College Board. Advanced Placement Program. AP. Physics C: Mechanics. 2009 Free-Response Questions

Worksheets

  1. Rational Expressions
  2. Mixture Word Problems
  3. Distance Rate Time Word Problems
  4. Work Word Problems
  5. Systems of Equations Word Problems
  6. Solving Rational Equations 2
  7. Simplifying Rational Expressions
Course Notes Worksheets with Solutions and Practice Tests
Chapter 1 Introduction to Calculus: Limits

Radical Expressions: Rationalizing Denominators
Notes 2010 | Handout | PowerPointShow

 

The Slope of Tangent Line
Notes 2009 | Notes 2010 | Handout | PowerPointShow

 

Rate of Change
Notes 2009 | Notes 2010 | Handout | PowerPointShow

Limits 10 Limits 11

Mid-Chapter Review

Quiz 1 Limits with Solutions

The Limit of a Function
Notes 2009 | Notes 2010 | Handout | PowerPointShow

Limits 06 Limits 08

Properties of Limits
Notes 2009 | Notes 2010 | Handout | PowerPointShow

Limits 01 Limits 02 Limits 03
Limits 04 Limits 05 Limits 06 Limits 08

Continuity
Notes 2009 | Notes 2010 | Handout | PowerPointShow

Limits 07 Limits 09

Chapter 1 Review

Winter 2009 T1 V1
Winter 2009 T1 V2
Summer 2009 T1
Winter 2010 T1 V1
Winter 2010 T1 V2
Summer 2010 T1 V1
Summer 2010 T1 V2

Chapter 2 Derivative Rules

Derivative Function. First Principle
Notes 2009 | Notes 2010 | Handout | PowerPointShow

First Principle

Power Rule. Derivative of Polynomial Functions
Notes 2009 | Notes 2010 | Handout | PowerPointShow

Power Rule
Power, Sum/Difference Rules
Derivatives of Polynomial Functions
Piecewise Defined Functions
Power Functions
Functions Defined by a Graph
Power Functions (II)

Product Rule
Notes 2009 | Notes 2010 | Handout | PowerPointShow

Product Rule

Mid-Chapter Review

Quiz 2 Derivative Rules with Solutions

Quotient Rule
Notes 2009 | Notes 2010 | Handout | PowerPointShow

Quotient Rule

Chain Rule
Notes 2009 | Notes 2010 | Handout | PowerPointShow

Chain Rule (I)
Chain Rule (II)
Chain Rule (III)
Chain Rule (IV)
Chain Rule (V)
Chain Rule (VI)

Tangent and Normal Line

Tangent Line (I)
Tangent Line (II)
Tangent Line (III)
Tangent Line (IV)
Tangent Line (V)
Tangent Line (VI)
Tangent Line (VII)
Normal Line

Chapter 2 Review

Winter 2009 T2 V1
Winter 2009 T2 V2
Fall 2009 T2
Winter 2010 T2 V1
Summer 2010 T2 V1
Summer 2010 T2 V2

Chapter 3 Applications of Derivatives

Higher Order Derivatives. Velocity and Acceleration
Notes 2009 | Notes 2010 | Handout | PowerPointShow

Higher Derivatives (I)
Higher Derivatives (II)
Higher Derivatives (III)
Velocity and Acceleration (I)
Velocity and Acceleration (II)
Velocity and Acceleration (III)

Minimum and Maximum on an Interval. Global Extrema
Notes 2009 | Notes 2010 | Handout | PowerPointShow

 

Optimization
Notes 2009 | Notes 2010 | Handout | PowerPointShow

 

Chapter 4 Applications of Derivatives

Increasing and Decreasing Functions
Notes 2009 | Notes 2010 | Handout | PowerPointShow

 

Critical Points. Local Extrema
Notes 2009 | Notes 2010 | Handout | PowerPointShow

 

Asymptotes
Notes 2009 | [Notes 2010 | Handout | PowerPointShow

 

Mid Chapter Review

 

Concavity and Points of Inflection
Notes 2009 | [Notes 2010 | Handout | PowerPointShow

 

Curve Sketching
Notes 2009 | [Notes 2010 | Handout | PowerPointShow

Curve Sketching (I)
Curve Sketching (II)

Curve Sketching (III)
Curve Sketching (IV)
Curve Sketching (V)

Chapter 4 Review

Winter 2009 T3 V1
Winter 2009 T3 V2
Fall 2009 T3
Winter 2010 T3 V1
Winter 2010 T3 V2
Summer 2010 T3

Chapter 5 Transcedental Functions and Optimization

Exponential Functions
Notes 2010 | Handout | PowerPointShow

Basic Rules
Sum/Difference Rule
Product Rule
Quotient Rule
Chain Rule (I)
Chain Rule (II)
Chain Rule (III)
Chain Rule (IV)
Higher Derivatives
Velocity and Acceleration
Tangent Lines

Logarithmic Functions
Notes 2010 | Handout | PowerPointShow

Trigonometric Functions
Notes 2010 | Handout | PowerPointShow

Mid-Unit Review

[Quiz 4 v1 Winter 2009 ] [Solutions ]
[Quiz 4 v2 Winter 2009 ] [Solutions ]

Optimization
Notes 2009 | Notes 2010 | Handout | PowerPointShow

 

Chapter 5 Review

Test 4 Winter 2009 Version 1
Test 4 Winter 2009 Version 2
Test 4 Fall 2009
Test 4 Winter 2010

Chapter 6 Vectors

An Introduction to Vectors
Notes 2010 | Handout | PowerPointShow

 

Vector Addition and Subtraction
Notes 2010 | Handout | PowerPointShow

 

Multiplication of a Vector by a Scalar
Notes 2010 | Handout | PowerPointShow

 

Properties of Vectors
Notes 2010 | Handout | PowerPointShow

 

Vectors in R2 and R3
Notes 2010 | Handout | PowerPointShow

 

Operations with Vectors in R2
Notes 2010 | Handout | PowerPointShow

 

Operations with Vectors in R3
Notes 2010 | Handout | PowerPointShow

 

Chapter 6 Review

Test 5 Part 1 Version 1 Winter 2010
Test 5 Part 1 Version 2 Winter 2010
Test 5 Part 1 Fall 2009
Test 5 Winter 2009 Version 1
Test 5 Winter 2009 Version 2
Test 5 Summer 2010

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