Simundza G., Zbarsky E.S., Henriksen M., Maitra R.L. Integrated Engineering Calculus I & II

Boston: Wentworth Institute of Technology, 2019. — 314 p.Linear Regression
Finding the Regression Parameters
Judging the Strength of the Relationship
Target Practice
Exercises
Solutions to Target Practice
Classes of Functions
Linear Function
Quadratic Function
Other Polynomial Functions
Exponential Function
Sine and Cosine Functions
Target Practice
Exercises
Properties of Basic Functions
Shifts and Stretches
Target Practice
Exercises
Solutions to Target Practice
Slope and Rate of Change
Target Practice
Exercises
Limits and the Derivative
Target Practice
The Derivative as a Function
Target Practice
Exercises
Some Terminology and Notation
Exercises
The Derivative of a Sine Function
Sine Functions with Different Frequencies
Sines and Cosines
Exercises
Higher Order Derivatives
More Derivatives
Exercises
Solutions to Target Practice
Polynomials
Exercises
Extending the Power Rule
Target Practice
Exercises
Derivatives of sin(x) and cos(x)
Exercises
Derivative of an Exponential Function
Target Practice
Exercises
Derivative of a Logarithm Function
Exercises
Hyperbolic Functions
Exercises
Solutions to Target Practice
The Chain Rule
Exercises
The Product Rule
Target Practice
The Quotient Rule
Exercises
Exercises
Solutions to Target Practice
Velocity and Displacement
The Relationship between Velocity and Position
Exercises
Approximating the Area Under the Graph of a Function
Target Practice
The Exact Area Under the Graph of a Function
The Definite Integral
Exercises
Solutions to Target Practice
Antiderivatives
Exercises
Initial Value Problems
Target Practice
Exercises
Differential Equations of Higher Order
A Second Order Initial Value Problem
Quick Introduction to Matrices
Exercises
Antiderivatives and the Definite Integral
Exercises
The Fundamental Theorems
Piecewise-defined functions
Airy functions
Laguerre Polynomials
Solutions to Target Practice
Two Quantities Changing with Time
Exercises
Differentiating Implicitly
Exercises
Exercises
Solutions to Target Practice
Finding the Best Strategy
Local MAXIMA and Minima
Exercises
Deciding Whether an Extreme Value is a Maximum or Minimum
Exercises
Another Type of Critical Point
Absolute MAXIMA and Minima
Exercises
Inflection Points
Curve Sketching
Exercises
Solutions to Target Practice
Changing Variables in Integrals
Exercises
Solving Differential Equations Exactly
Exercises
Substitution in Definite Integrals
Exercises
Solutions to Target Practice
Integration By Parts
Exercises
Integration using Trigonometric Substitution
Exercises
Exercises
Integration by Partial Fractions
Target Practice
Exercises
Using Tables
Exercises
Solutions to Target Practice
Areas Between Curves
Choosing the Representative Rectangle
Exercises
Volumes of Solid Regions
Solids with Circular Cross Sections – The Disk Method
Solids with Holes – The Washer Method
Target Practice
Exercises
Length of a Curve
Choosing the Correct Method
Exercises
Area of a Three-Dimensional Surface
Exercises
Applied Geometry Problems
Exercises
Solutions to Target Practice
Work with a Variable Force
Emptying a Tank
Exercises
Fluid Pressure
Force Due to Fluid Pressure
Exercises
Improper Integrals
Exercises
Solutions to Target Practice
Neverending Sums
Sequences and Series
Target Practice
Exercises
Geometric Series
A Series with Decreasing Terms that Does Not Converge
Exercises
Integral Test
Comparison Test
Target Practice
Exercises
Ratio Test
Target Practice
exercises
Summary of Tests for Infinite Series of the Form n=k an
Solutions to Target Practice
Approximating functions
Quadratic approximations
Cubic approximation
Target Practice
Exercises
Definition of Taylor Series
Target Practice
Special limits
Exercises
Error
Solutions to Target Practice