﻿ Foerster's Calculus: Concepts and Applications
 Foerster's Calculus: Concepts and Applications      Calculus: Concepts and Applications

Paul A. Foerster

Key Curriculum Press  Chapter 1: Limits, Derivatives, Integrals, and Integrals (3)

Concept of Instantaneous Rate

Problem Set 1-1:

 ▪ Problem 1 (Short Explanations)
 ▪ Problem 2

Chapter 2: Properties of Limits

Chapter 3: Derivative and Indefinite Integrals Chapter 4: Products, Quotients, and Functions (12)

Derivatives of a Product of Two Functions

Problem Set 4-2:

 ▪ Question 2
 ▪ Question 5
 ▪ Problem 20
 ▪ Problem 21
 ▪ Problem 27
 ▪ Problem 29
 ▪ Problem 31
 ▪ Problem 32

Differentiability and Continuity

Problem Set 4-6:

 ▪ Problem 22
 ▪ Problem 28

Related Rates

Problem Set 4-9:

 ▪ Problem 4
 ▪ Problem 5 Chapter 5: Definite and Indefinite Integrals (3)

Volume of a Solid by Plane Slicing

Problem Set 5-9:

 ▪ Problem 2
 ▪ Problem 8
 ▪ Problem 9 Chapter 6: The Calculus of Exponential and Logarithmic Functions (4)

The Number e, Exponential Functions, and Logarithmic Differentiation

Problem Set 6-4:

 ▪ Problems 48, 50, 54, 59 Chapter 7: The Calculus of Growth and Decay (15)

Other Differential Equations for Real-World Applications

Problem Set 7-3:

 ▪ Question 1-10
 ▪ Problem 1 - Sweepstakes Problem 1
 ▪ Problem 2 - Sweepstakes Problem 2
 ▪ Problem 3 - Electrical Circuit Problem
 ▪ Problem 4 - Newton's Law of Cooling Problem
 ▪ Problem 5 - Hot Tube Problem (a)-(c) Chapter 8: The Calculus of Plane and Solid Figures (33)

Critical Points and Points of Inflection

Problem Set 8-2:

 ▪ Example 5 Explanation Video
 ▪ Problems 2, 4, 6, 8, 10
 ▪ Problems 12, 14, 16
 ▪ Problems 18, 20
 ▪ Problem 46 - A Pathological Function

Maxima and Minima in Plane and Solid Figures

Problem Set 8-3:

 ▪ Like Example 1
 ▪ Problem 2 - Motel Problem[****]
 ▪ Problem 11 - Ladder Problem

Volume of a Solid of Revolution by Cylindrical Shells

Problem Set 8-4:

 ▪ Disk Method
 ▪ Cylindrical Shell Method
 ▪ Audio and Visual Explanation
 ▪ Like Problem 2
 ▪ Problem 8
 ▪ Problem 16

Length of a Plane Curve - Arc Length

Problem Set 8-5:

 ▪ Explanation of Formulas
 ▪ Problem 2
 ▪ Problem 4
 ▪ Problem 6
 ▪ Problem 8
 ▪ Like Problem 10
 ▪ Like Problem 14
 ▪ Problem 18
 ▪ Like Problem 20
 ▪ Problem 24 - Part 1   Part 2   Part 3

Lengths and Areas for Polar Coordinates

Problem Set 8-7:

 ▪ Problem 1
 ▪ Like Problem 1 Chapter 9: Algebraic Calculus Techniques for the Elementary Functions (26)

Integration by Parts - A Way to Integrate Products

Problem Set 9-2:

 ▪ Questions 1-10

Rapid Repeated Integration by Parts

Problem Set 9-3:

 ▪ Problems 1-19 (Odd)
 ▪ Problems 21-31 (Odd)