**Quantitative Biology Problem Sets **

**Biochemistry **

pH

Acid/Base Equilibria

Enzyme Kinetics: Michaelis-Menten Equation

Enzyme Kinetics: Lineweaver-Burke Plot

Hill Equation

DNA Melting Temperature

Bragg's Equation

**Genetics **
Fixation of a Mutant Gene

Population Genetics

Underdominance

Frequency-Dependent Selection

Binomial Distribution

Mutation Selection Balance

**Human Biology **

Drug Concentrations

Heart Activity

Determining Your Target Heart Rate

Tumor Growth

Body Mass Index

**Population Biology **

Exponential Population Growth

Logistical Population Model I

Logistical Population Model II

Effective Population Size

**Other **

Temperature Conversion

Newton's Law of Cooling

Carbon Dating

Allometry I

Allometry II

Circadian Rhythms

Environmental Fluctuations

**Need Help? Mathematic Tutorials **

An Introduction to Scientific Notation A quick review of writing very large and very small numbers using scientific notation.

Mathematical Notation Learn the proper notation for representing numbers, sets, sums, and products.

Introduction to Functions Learn the definition and properties of functions, how to perform mathematical operations on functions, and then practice what you have learned.

Transformations Learn how functions are transformed and how to sketch the graph of a function by inspecting the equation. Then test your knowledge.

Linear Functions Learn the definition of linear function, how to calculate the slope of a line, how to solve a linear equation, and how linear models are used in biology. Then practice what you have learned.

Quadratic Functions Learn the definition of a quadratic function, what the graph of quadratic function looks like,and how to solve quadratic equations. Then test your knowledge with a problem set.

Exponential
Functions Learn the definitions of exponential
functions, how they are graphically represented, and how
to graph basic exponential functions and transformed exponential
functions.

Logarithmic Functions Learn
the definitions of logarithmic functions and their properties,
and how to graph them. Then practice what you have learned
with exponential and logarithmic functions.

Polynomials Learn the definition of a polynomial, how to perform polynomial division, and what a graph of a polynomial function looks like. Then review what you have learned with a problem set.

Power Functions Learn the definition of a power function and how to graph one. Then test your knowledge with a problem set.

Rational Functions Learn the definition of a rational function, what the graph of a rational function looks like, and how to find the asymptotes. Then complete the problem set.

Trigonometric Functions Learn the definition of a trigonometric function, review some special angles, learn what the graphs of various trigonometric function look like, and see some trigonometric identities. Then test your knowledge with a problem set.