Foerster's Calculus: Concepts and Applications

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Calculus: Concepts and Applications

Paul A. Foerster

Key Curriculum Press


Foerster calc book




hmtoggle_plus1Chapter 1: Limits, Derivatives, Integrals, and Integrals (3)


Concept of Instantaneous Rate

Problem Set 1-1:

Problem 1 (Short Explanations)
Problem 1 (Added Explanations)



Chapter 2: Properties of Limits


Chapter 3: Derivative and Indefinite Integrals


hmtoggle_plus1Chapter 4: Products, Quotients, and Functions (12)


Derivatives of a Product of Two Functions

Problem Set 4-2:


Differentiability and Continuity

Problem Set 4-6:


Related Rates

Problem Set 4-9:



hmtoggle_plus1Chapter 5: Definite and Indefinite Integrals (3)


Volume of a Solid by Plane Slicing

Problem Set 5-9:



hmtoggle_plus1Chapter 6: The Calculus of Exponential and Logarithmic Functions (4)


The Number e, Exponential Functions, and Logarithmic Differentiation

Problem Set 6-4:



hmtoggle_plus1Chapter 7: The Calculus of Growth and Decay (15)


Other Differential Equations for Real-World Applications

Problem Set 7-3:



hmtoggle_plus1Chapter 8: The Calculus of Plane and Solid Figures (33)


Critical Points and Points of Inflection

Problem Set 8-2:


Maxima and Minima in Plane and Solid Figures

Problem Set 8-3:


Volume of a Solid of Revolution by Cylindrical Shells

Problem Set 8-4:


Length of a Plane Curve - Arc Length

Problem Set 8-5:

Problem 24 - Part 1   Part 2   Part 3


Lengths and Areas for Polar Coordinates

Problem Set 8-7:



hmtoggle_plus1Chapter 9: Algebraic Calculus Techniques for the Elementary Functions (26)


Integration by Parts - A Way to Integrate Products

Problem Set 9-2:


Rapid Repeated Integration by Parts

Problem Set 9-3:



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