- 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
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.
Speed of rotation, typically measured in radians or revolutions per unit time
Conjugate axis of a hyperbola
The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint
A measure of the strength of the linear relationship between two variables, pp. 146, 162.
De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)
Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.
A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.
Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers
Magnitude of an arrow
The magnitude of PQ is the distance between P and Q
Natural logarithmic regression
A procedure for fitting a logarithmic curve to a set of data.
The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space
The process of fitting a polynomial of degree n to (n + 1) points.
A procedure for fitting a quadratic function to a set of data.
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).
Re-expression of data
A transformation of a data set.
Real number line
A horizontal line that represents the set of real numbers.
Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.
A line that is neither horizontal nor vertical
An interval that extends to -? or ? (or both).
Zero factor property
If ab = 0 , then either a = 0 or b = 0.