- Chapter 1: Review Problems
- Chapter 1.1: Preliminaries
- Chapter 1.2: Elementary Functions
- Chapter 1.3: Graphing
- Chapter 10: Review Problems
- Chapter 10.1: Functions of Two or More Independent Variables
- Chapter 10.2: Limits and Continuity
- Chapter 10.3: Partial Derivatives
- Chapter 10.4: Tangent Planes, Differentiability, and Linearization
- Chapter 10.5: More about Derivatives (Optional)
- Chapter 10.6: Applications (Optional)
- Chapter 10.7: Systems of Difference Equations (Optional)
- Chapter 11: Review Problems
- Chapter 11.1: Linear Systems: Theory
- Chapter 11.2: Linear Systems: Applications
- Chapter 11.3: Nonlinear Autonomous Systems: Theory
- Chapter 11.4: Nonlinear Systems: Applications
- Chapter 12: Review Problems
- Chapter 12.1: Counting
- Chapter 12.2: What Is Probability?
- Chapter 12.3: Conditional Probability and Independence
- Chapter 12.4: Discrete Random Variables and Discrete Distributions
- Chapter 12.5: Continuous Distributions
- Chapter 12.6: Limit Theorems
- Chapter 12.7: Statistical Tools
- Chapter 2: Review Problems
- Chapter 2.1: Exponential Growth and Decay
- Chapter 2.2: Sequences
- Chapter 2.3: More Population Models
- Chapter 3: Review Problems
- Chapter 3.1: Limits
- Chapter 3.2: Continuity
- Chapter 3.3: Limits at Infinity
- Chapter 3.4: The Sandwich Theorem and Some Trigonometric Limits
- Chapter 3.5: Properties of Continuous Functions
- Chapter 3.6: A Formal Definition of Limits (Optional)
- Chapter 4: Review Problems
- Chapter 4.1: Formal Definition of the Derivative
- Chapter 4.2: The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials
- Chapter 4.3: The Product and Quotient Rules, and the Derivatives of Rational and Power Functions
- Chapter 4.4: The Chain Rule and Higher Derivatives
- Chapter 4.5: Derivatives of Trigonometric Functions
- Chapter 4.6: Derivatives of Exponential Functions
- Chapter 4.7: Derivatives of Inverse Functions, Logarithmic Functions, and the Inverse Tangent Function
- Chapter 4.8: Linear Approximation and Error Propagation
- Chapter 5: Review Problems
- Chapter 5.1: Extrema and the Mean-Value Theorem
- Chapter 5.2: Monotonicity and Concavity
- Chapter 5.3: Extrema, Inflection Points, and Graphing
- Chapter 5.4: Optimization
- Chapter 5.5: LHospitals Rule
- Chapter 5.6: Difference Equations: Stability (Optional)
- Chapter 5.7: Numerical Methods: The NewtonRaphson Method (Optional)
- Chapter 5.8: Antiderivatives
- Chapter 6: Review Problems
- Chapter 6.1: The Definite Integral
- Chapter 6.2: The Fundamental Theorem of Calculus
- Chapter 6.3: Applications of Integration
- Chapter 7: Review Problems
- Chapter 7.1: The Substitution Rule
- Chapter 7.2: Integration by Parts and Practicing Integration
- Chapter 7.3: Rational Functions and Partial Fractions
- Chapter 7.4: Improper Integrals
- Chapter 7.5: Numerical Integration
- Chapter 7.6: The Taylor Approximation
- Chapter 7.7: Tables of Integrals (Optional)
- Chapter 8: Review Problems
- Chapter 8.1: Solving Differential Equations
- Chapter 8.2: Equilibria and Their Stability
- Chapter 8.3: Systems of Autonomous Equations (Optional)
- Chapter 9: Review Problems
- Chapter 9.1: Linear Systems
- Chapter 9.2: Matrices
- Chapter 9.3: Linear Maps, Eigenvectors, and Eigenvalues
- Chapter 9.4: Analytic Geometry
Calculus For Biology and Medicine (Calculus for Life Sciences Series) 3rd Edition - Solutions by Chapter
Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition
Calculus For Biology and Medicine (Calculus for Life Sciences Series) | 3rd Edition - Solutions by ChapterGet Full Solutions
Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)
equation of a hyperbola
(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1
Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..
Sum of a finite number of terms.
Reciprocal of the period of a sinusoid.
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.
A function whose domain is the set of all natural numbers.
See Absolute value of a complex number.
A set of n objects.
One-to-one rule of exponents
x = y if and only if bx = by.
A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.
Principle of mathematical induction
A principle related to mathematical induction.
A set of ordered pairs of real numbers.
Removable discontinuity at x = a
lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined
Right circular cone
The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.
Terms of a sequence
The range elements of a sequence.
An interval that extends to -? or ? (or both).