Complete 1st Season
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
001 01. “Pilot” January 23, 2005
Synopsis:
Charlie assists Don on a serial rapist case by calculating a "hot zone", an area where the rapist is most likely to live. Don is removed from the case after Charlie's formula fails to turn up any leads but later a comment from their father then leads Charlie to change the equation to calculate two points of origin, instead of one, leading to a new suspect. Anthony Heald guest stars.

Mathematics used: Geographic profiling, probability theory, 11-dimensional supergravity theory and projectile motion
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
002 02. “Uncertainty Principle” January 28, 2005
Synopsis:
Charlie successfully predicts the time and place of a bank robbery using what he says are elements of Heisenberg's uncertainty principle, but when the planned arrest goes bad, he retreats into the math problem P vs. NP.

Mathematics used: P vs. NP and Heisenberg's uncertainty principle
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
003 03. “Vector” February 4, 2005
Synopsis:
A deadly strain of influenza is spreading through Los Angeles, killing many people. Don investigates whether the strain was released deliberately, and Charlie tries to calculate the origin and likely spread of the virus. Guest stars include CCH Pounder, J.K. Simmons, and Rainn Wilson.

Mathematics used: Patient Zero, Viral vector, Vector and SIR model
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
004 04. “Structural Corruption” February 11, 2005
Synopsis:
An engineering student dies by what is ruled a suicide, but Charlie suspects foul play. Don disagrees, but he agrees to help Charlie investigate whether the student was murdered because of his research into a building's structural integrity. Alyson Reed, Douglas Sills, and David Hunt guest star.

The Hyatt Regency walkway collapsed in 1981 as did the Hartford Civic Center in 1978.

The episode concludes with Don Eppes saying that Occam's razor says "that the simplest answer is usually the right one."

Mathematics used: Pendulum and Foucault pendulum
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
005 05. “Prime Suspect” February 18, 2005
Synopsis:
A young girl is kidnapped, but her parents refuse to cooperate with Don's investigation. The girl's father (Neil Patrick Harris) is an innovative mathematician, and the kidnapping may be related to his work on the Riemann hypothesis.

Mathematics used: Cryptography, prime numbers, Riemann hypothesis and Riemann zeta function
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
006 06. “Sabotage” February 25, 2005
Synopsis:
Don is investigating a series of train accidents which are recreations of previous wrecks. The saboteur leaves a note composed entirely of numbers. Keith Szarabajka guest stars.

Mathematics used: Kasiski examination, Cryptography, Fibonacci sequence, golden ratio and Beale ciphers
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
007 07. “Counterfeit Reality” March 11, 2005
Synopsis:
A strange series of robberies leads Don into a case involving counterfeit money, kidnapping and murder. Don is assisted by Secret Service agent Kim Hall (Sarah Wayne Callies) while Charlie uses math to analyze fake bank notes and track their spread.

Mathematics used: Guilloché pattern and wavelet analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
008 08. “Identity Crisis” April 1, 2005
Synopsis:
A new murder with disturbing similarities to an old case leads Don to question whether he put the right man in jail. While Don tries to find the connection between the two cases, he asks Charlie to look for mistakes or flaws in the first case. Luis Antonio Ramos, Dominic Fumusa, Marek Probosz and Molly Hagan are among the guest stars.

Mathematics used: Poker, geometric progression – paper folding, pyramid scheme, fingerprint and Schrödinger's cat
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
009 09. “Sniper Zero” April 15, 2005
Synopsis:
Don is investigating a series of sniper killings, and Charlie is searching for an underlying pattern to the attacks. What appears to be bad data can't be eliminated from the analysis, because it fits the only pattern he can find. Lou Diamond Phillips guest stars as FBI sniper and tracker Agent Ian Edgerton.

Mathematics used: Projectile motion, Tipping point, regression toward the mean and exponential growth
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
010 10. “Dirty Bomb” April 22, 2005
Synopsis:
A truck carrying radioactive nuclear waste disappears, and Don figures that a dirty bomb will be set off in downtown Los Angeles. When three suspects are caught but refuse to turn on each other, Charlie must try to convince one of them to give up the others and also the location of the waste. David Marshall Grant and Roxanne Hart guest star.

In 1946 Manhattan Project physicist Louis Slotin used his body to protect fellow scientists during an accident with a plutonium experiment at Los Alamos; he died of exposure to the ionizing radiation 9 days later after his "walking ghost phase".

Mathematics used: Prisoner's dilemma and radioactive decay; Caesium-137
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
011 11. “Sacrifice” April 29, 2005
Synopsis:
A researcher is murdered in his home, and Charlie must reconstruct data erased from his computer while Don investigates possible suspects. Guest stars include Joseph Gordon-Levitt, Corey Stoll, Bruce Davison, and Elizabeth Dennehy. David Krumholtz and Joseph Gordon-Levitt co-starred in the 1999 film 10 Things I Hate About You.

Final appearance of: Sabrina Lloyd as Terry Lake

Mathematics used: Sabermetrics and econometrics; bathythermograph; Van Eck phreaking
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
012 12. “Noisy Edge” May 6, 2005
Synopsis:
An unidentified flying object travels over Los Angeles and then disappears. Don suspects terrorist activity, and Charlie tries to find out more about the object and its flight path. Guest stars include Gloria Reuben, Bill Smitrovich, and Ethan Embry.

Mathematics used: Combinatorics and conditional probability distribution – "squish-squash" with Fourier analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
013 13. “Man Hunt” May 13, 2005
Synopsis:
A prison bus crashes, allowing two dangerous convicts to escape. Don is joined by his former Fugitive Recovery partner Billy Cooper (Max Martini) as the Bureau launches an effort to recapture them. Guest stars include Christina Cox and Jennifer Westfeldt.

Mathematics used: Bayesian inference, Markov chain, Chapman–Kolmogorov equation and Monty Hall problem
Complete 2nd Season
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
014 01. “Judgment Call” September 23, 2005
Synopsis:
When the wife of a judge (Alan Rosenberg) is shot dead while arriving into her parking garage, Don and his team look into the judge's cases to determine if one of his verdicts led to the murder.

First appearance of: Diane Farr as Megan Reeves and Dylan Bruno as Colby Granger

Mathematics used: Scatterplot, Bayesian Spam Filtering, Buffon's needle and Conditional Probability
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
015 02. “Better or Worse” September 30, 2005
Synopsis:
Don and his team are called in when a woman attempting to rob a jewelry store in Beverly Hills is shot by a security guard.

Mathematics used: Von Neumann cellular automata, Farey sequence and pseudo-random numbers
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
016 03. “Obsession” October 7, 2005
Synopsis:
The FBI becomes involved in the stalking of a popular singer (Samaire Armstrong) after she is threatened by an intruder in her house and reveals a series of threatening letters she has received through the mail. Charlie receives an anonymous love letter from someone other than Amita.

Mathematics used: Trigonometry, curvelet analysis, Forensic Information System for Handwriting (FISH), spherical astronomy and art gallery problem
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
017 04. “Calculated Risk” October 14, 2005
Synopsis:
Don and Megan are called to the murder scene when the CFO of a powerful energy company—who was about to testify against her fellow executives—is murdered at her home and her son is the only witness. Guest stars include Jeff Perry, Raphael Sbarge and Josh Eriksson.

Mathematics used: Conditional probability and compound interest
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
018 05. “Assassin” October 21, 2005
Synopsis:
Along with David Sinclair and new FBI Agent Colby Granger, Don discovers a secret code during a raid and enlists Charlie's help to crack it. Charlie cancels his date with Amita only to discover she already made other plans for that night. Guest stars include Elizabeth Peña and Christian Clemenson.

Mathematics used: Transposition cipher, game theory and paper planes
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
019 06. “Soft Target” November 4, 2005
Synopsis:
A week-long series of counter-terrorism exercises are put to the test by Homeland Security officials (John Heard and Scott Cohen) in Los Angeles, but the first one is violated by someone who releases a potentially lethal gas in the subway system. Alan hosts a wedding for a girl (Christina Chang) from the Eppes brothers' past.

Mathematics used: Percolation theory and diffusion
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
020 07. “Convergence” November 11, 2005
Synopsis:
Don investigates a series of home invasions in which the thieves steal only high-end items from wealthy individuals. Meanwhile, an old adversary (Colin Hanks as recurring character Marshall Penfield) challenges Charlie's breakthrough work, The Eppes Convergence.

Mathematics used: Group theory, data-mining, Fourier analysis, calendars, Three-dimensional trilateration, Set theory and projectile motion
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
021 08. “In Plain Sight” November 18, 2005
Synopsis:
Megan feels personally responsible for an agent's death following an explosion at a house where meth is being illegally produced and that the FBI targeted for a bust but the case takes a new direction after Charlie discovers that the drug kingpin was in the FBI office, looking for help in rescuing his supposedly kidnapped daughter.

Mathematics used: Flock behavior, steganography and matrices - error correction code
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
022 09. “Toxin” November 25, 2005
Synopsis:
Don learns that someone is poisoning non-prescription drugs made by a leading pharmaceutical company after four people nearly die from the tampering. Guest stars include Lou Diamond Phillips in the recurring role of FBI fugitive tracker and sniper Ian Edgerton, as well as Connor Trinneer and Cynthia Preston.

Mathematics used: Information theory - information entropy, graph theory - Seven Bridges of Königsberg and soap bubble theory with Steiner tree
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
023 10. “Bones of Contention” December 9, 2005
Synopsis:
An archaeologist is killed in a museum, and the object she was studying is taken. Guest stars include Graham Greene, Reed Diamond, Michael Greyeyes, Clyde Kusatsu, Kate Burton and Lorraine Toussaint.

Mathematics used: Exponential decay and Voronoi diagram
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
024 11. “Scorched” December 16, 2005
Synopsis:
An arsonist believed to be part of an extremist environmental group sets a fire at a car dealership that kills a salesman. The group's name is spray painted at the scene and is the fourth such fire, but the first to claim a life. Guest stars include Loren Dean and science educator and television presenter Bill Nye in his first appearance in the recurring role of Charlie's CalSci colleague engineering professor Bill Waldie.

First appearance of: Sophina Brown as Bianca Styles, before she is cast as Nikki Betancourt in season five.

Mathematics used: Combustion and principal components analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
025 12. “The OG” January 6, 2006
Synopsis:
When Don and his team are called to the murder scene of a Los Angeles gang member, they learn the victim is a fellow agent who had been working undercover. Guest stars include Will Patton in his first appearance as recurring character LAPD Lt. Gary Walker, Michelle Nolden in her first appearance as recurring character Assistant United States Attorney Robin Brooks, Tamara Taylor and Aldis Hodge.

Mathematics used: Poisson distribution and social network analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
026 13. “Double Down” January 13, 2006
Synopsis:
When the FBI is called to investigate a murder at a Los Angeles card club, it leads the agents to unravel a complicated card counting scheme involving a group of college students whose lives may now be at risk. Ethan Phillips guest stars.

Mathematics used: Probability involving sampling without replacement, time series analysis and randomization
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
027 14. “Harvest” January 27, 2006
Synopsis:
A South Asian teenager is found in the blood-spattered basement of an old downtown hotel where she was apparently being tortured. The investigation soon reveals that the girl, along with three other missing women, are victims of a black-market organ-harvesting scheme. David Dayan Fisher guest stars.

Mathematics used: Markov chain, ellipses and genetic variation
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
028 15. “The Running Man” February 3, 2006
Synopsis:
A DNA synthesizer with the capability of customizing diseases is stolen from the campus where Charlie teaches, and Don figures the thieves may be terrorists out to start or advance a bio-warfare program. Guest stars include Kirk Acevedo and Sara Botsford.

Mathematics used: Benford's law, continued fraction, astronomy, and probability
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
029 16. “Protest” March 3, 2006
Synopsis:
A pedestrian is killed when a homemade bomb explodes under a car outside of a downtown Army recruiting center. The investigation reveals that a similar bombing that killed two people at a Vietnam War-era ROTC office occurred exactly 35 years earlier, and the retired agent (Robert Forster) that investigated the first bombing becomes part of the current inquiry. Things take a turn when Don discovers that his father was a member of an anti-war group believed to have been associated with the bombings. Other guest stars include Concetta Tomei and Patrick J. Adams.

Mathematics used: Graph theory, Ramsey numbers and recursive sequence
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
030 17. “Mind Games” March 10, 2006
Synopsis:
When the bodies of three illegal-immigrant women are found on government-owned land in a wilderness area, Don investigates and learns a psychic (John Glover) led the police to the crime scene after allegedly seeing visions of the bodies. Charlie becomes extremely annoyed after learning that Don is using the psychic's help to solve the case, maintaining that true psychics do not exist.

Mathematics used: Fokker-Planck equation and Binomial theorem
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
031 18. “All's Fair” March 31, 2006
Synopsis:
In an effort to find the murderer of an Iraqi woman, Don enlists the help of the victim's cousin, who lives in Los Angeles. Through her cousin, Don learns information about the woman's disturbing connection to Saddam Hussein, which could lead to her murderer. Meanwhile, Charlie reunites with an ex-girlfriend, a best-seller neuropsychologist (Sonya Walger).

Mathematics used: Density, Sudoku, logistic regression and game theory
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
032 19. “Dark Matter” April 7, 2006
Synopsis:
As Don and his team investigate the motive behind two student's deadly school shooting, Charlie uses the school's radio frequency identification system to track the shooter's movements through the school's hallways. But the team are stunned when Charlie reveals that they're looking for a third shooter, someone with motive. Guest stars include Leighton Meester, Christine Estabrook, and Marin Mazzie.

Mathematics used: RFID and optimization problem
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
033 20. “Guns and Roses” April 21, 2006
Synopsis:
When an ATF agent is found dead amid questionable circumstances, Don demands to take on the case, which revolves around an elaborate bank heist, after he learns the victim is his ex-girlfriend. Michelle Nolden appears in her recurring role of Assistant US Attorney Robin Brooks.

Mathematics used: Echolocation and biomathematics (DNA sequence alignment)
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
034 21. “Rampage” April 28, 2006
Synopsis:
After an unknown man opens fire in the FBI offices, causing carnage and destruction, Don and his team must investigate his motive and his connection to a dangerous arms dealer who is on trial. Meanwhile, Don soon learns that the bullet that killed the sex offender the team interviewed came from Colby's gun, forcing Colby to be put on desk duty for the time being.

Mathematics used: Chaos theory, Brownian Motion, Self-organized criticality, Venn diagram and tesseracts/hypercubes
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
035 22. “Backscatter” May 5, 2006
Synopsis:
An FBI investigation into a computer hacking scam, which taps into a bank's system to gain access to customer's identities and financial assets, becomes personal for Don when the Russian mob spearheading it comes after him and threatens the safety of Charlie and Alan. Will Patton returns as LAPD Lt. Gary Walker; David Aaron Baker also guest stars.

Mathematics used: Explicit and implicit functions, geometric progression and exponential growth. Neil Sloane's Integer Sequence Database was also used.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
036 23. “Undercurrents” May 12, 2006
Synopsis:
Five young Chinese girls wash up on the shore; while Charlie works out where they came from, it emerges that one of the girls is carrying Avian Flu. Guest stars include Lauren Vélez and Russell Wong.

Mathematics used: Encoding, vector fields, kinematics, n-dimensional space and strange loop.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
037 24. “Hot Shot” May 19, 2006
Synopsis:
Two women are found dead with an apparent drug overdose, in similar positions with a syringe in the left arm; Don suspects a serial killer. The investigation reveals valium (diazepam) and morphine. Charlie's help on Don's case is hindered by his bizarre dream about his mother (JoBeth Williams appears as Margaret Eppes). Sam Trammell and Olympia Dukakis also guest star.

Mathematics used: Directed graph, parabolic equations, probability and trajectory
Complete 3rd Season
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
038 01. “Spree” September 22, 2006
Synopsis:
Don is on the trail of a criminal couple consisting of a 30-year-old teacher Crystal Hoyle (Kim Dickens) and her 17-year-student Buck Winters (David Gallagher) who are committing crimes across the country. Charlie and Amita's relationship changes and Alan decides to move out. The episode ends in a cliffhanger with Hoyle (Kim Dickens), the 30-year-old teacher, taking Megan hostage. Lou Diamond Phillips appears again as Agent Ian Edgerton. The first of a two-episode story, followed by Two Daughters.

Mathematics used: Pursuit curves and geodesic sphere
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
039 02. “Two Daughters” September 29, 2006
Synopsis:
The team jumps into action after learning that Crystal Hoyle (Kim Dickens) has taken Megan hostage and work against the clock and ever-decreasing odds to save Megan before it's too late. Sequel to Spree.

Mathematics used: Polar spirals and parametric equations
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
040 03. “Provenance” October 6, 2006
Synopsis:
A famous Nazi-looted Camille Pissarro painting is stolen from a museum and a related murder surfaces. Gena Rowlands, Garret Dillahunt, Zach Grenier, Benito Martinez and Armin Shimerman guest star.

Mathematics used: Linear diophantine equations, curvelet analysis, Craquelure and discriminant analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
041 04. “The Mole” October 13, 2006
Synopsis:
The death of a Chinese interpreter outside a nightclub who was knocked down and fatally injured by a car at first appears to be an accident but Charlie's theory later suggests that it was murder and the resulting investigation leads Don and his team to investigate a possible mole from within the Department of Justice. Colby covers up information on Don's case for a friend (Shawn Hatosy) and is left stunned when he finds evidence suggesting that his old friend is the mole that Don and the team are looking for. Charlie is upset when Larry publishes a paper without his help.

Mathematics used: Steady Motion Algorithm, Curtate cycloid, symmetry and combinatorics
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
042 05. “Traffic” October 20, 2006
Synopsis:
A series of violent highway attacks which appear to be random leaves Don and his team deeply puzzled.

Mathematics used: Randomness, partial differential equations and traffic flow
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
043 06. “Longshot” October 27, 2006
Synopsis:
The team investigates the death of a man armed with a sophisticated statistical analysis that can identify the winning horse at a race track. Philip Casnoff guest stars.

First appearance of: Aya Sumika in the recurring role of FBI Agent Liz Warner.

Mathematics used: Probability, arbitrage betting and data mining
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
044 07. “Blackout” November 3, 2006
Synopsis:
After an attack on a power station leaves parts of Los Angeles in the dark, the team must find the assailant's real target.

Mathematics used: Set Theory, Center of mass, harmonic series, directed graph, Load flow analysis and Dantzig-Wolfe Decomposition
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
045 08. “Hardball” November 10, 2006
Synopsis:
A minor league baseball player trying to get back to the majors is found dead of steroid abuse, leading the investigators to an unusual chain of suspects. Jay Baruchel portrays Oswald Kittner. Bill Nye makes his second appearance in the recurring role of Charlie's CalSci colleague engineering professor Bill Waldie. Jon Hamm also guest stars.

Mathematics used: Sabermetrics and Shiryaev-Roberts change-point analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
046 09. “Waste Not” November 17, 2006
Synopsis:
Mysterious cancer clusters are found around a number of elementary schools whose playgrounds were all paved by the same company. A new CalSci administrator (Kathy Najimy in her first appearance as recurring character Dr. Mildred Finch) annoys Charlie and his colleagues, while Alan dates her. Joshua Malina, Bob Gunton, Deirdre Lovejoy, and Erica Gimpel also guest star.

Mathematics used: Groundwater flow equation, cancer clusters, seismic tomography and Kac–Moody algebra
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
047 10. “Brutus” November 24, 2006
Synopsis:
A California State Senator and a psychiatrist are murdered; neither have much in common with the other except for one thing...they both turn up dead on Don's watch. While the circumstances of their deaths are different, Don thinks the two murders are related, and tries to prove his hunch right. What he finds may bring to light a deep secret the government has been hiding for years. Tom Amandes guest stars.

Mathematics used: Network flow, network theory, Euclid's Orchard and target selection theory
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
048 11. “Killer Chat” December 15, 2006
Synopsis:
Don and Charlie track a killer who has murdered several sex predators. The predators took advantage of teenage girls they met in chat rooms. Meanwhile, Larry is ready to begin an adventure with NASA. Guest stars include Robin Weigert, and astronaut Buzz Aldrin as himself in a non-speaking cameo appearance.

Mathematics used: Statistical Textual Analysis and principal components analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
049 12. “Nine Wives” January 5, 2007
Synopsis:
Don, Charlie, and the team search for a polygamist who is on the FBI's Ten Most Wanted List for rape and murder. Guest stars include Teri Polo, Joshua Malina and Anne Dudek.

Mathematics used: Lévy flights, Inbreeding coefficients and kinship chains
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
050 13. “Finders Keepers” January 12, 2007
Synopsis:
After an extremely expensive yacht sinks in the middle of a race, Charlie finds himself caught between a rock and a hard place when both Don and the NSA need his help on the case. David Clennon, Jason Beghe, and Titus Welliver guest star.

Mathematics used: Fluid dynamics, constraint and optimization
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
051 14. “Take Out” February 2, 2007
Synopsis:
When two police officers are killed while eating dinner out, Charlie tries to figure out where the killers will strike next while Don's superiors make him see the department shrink (Wendell Pierce) to help him deal with the aftermath of the Crystal Hoyle Case. José Zúñiga guest stars.

Mathematics used: Outliers and data mining
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
052 15. “End of Watch” February 9, 2007
Synopsis:
Don and the team reopen a cold case when a bunch of kids playing in an abandoned empty construction site discover a police badge. When Charlie joins the investigation, they attempt to track down the owner of the badge, a police officer who has been missing for seventeen years but when the team discover that the dead cop was on his way to Internal Affairs, the investigation takes a turn. Meanwhile, Alan is informed that he's being sued. Lance Reddick and Hassan Johnson guest star; Will Patton makes another appearance as LAPD officer Lt. Gary Walker.

Mathematics used: Laser Swath Mapping and quantum mechanics
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
053 16. “Contenders” February 16, 2007
Synopsis:
One of David's closest friends is called into question after a man dies during a mixed martial arts sparring match. When it turns out that this is not the first time such an event has happened, things look even worse. Charlie is busy practicing what little he knows about poker, so he can take Larry's spot in a tournament. Steven Culp, Lauren Vélez, Bruce McGill and Arye Gross guest star.

Mathematics used: Kruskal's algorithm and Flow network
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
054 17. “One Hour” February 23, 2007
Synopsis:
Don talks to his departmental therapist (Wendell Pierce) again, and while he's gone, the team races against time to find an eleven-year-old boy being held hostage on a $3 million ransom. Vincent Laresca and Michael DeLorenzo also guest star.

Mathematics used: 'Cake-cutting' algorithm, logic maze and state diagram
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
055 18. “Democracy” March 9, 2007
Synopsis:
Several area murders seem to be tied to voter fraud. Don, Charlie, and the team must find the killers before they strike again. Jay Baruchel and Joshua Malina again appear in recurring roles; William Sadler and Kelli O'Hara also guest star.

Mathematics used: Statistics, probability theory, metadata and organizational theory
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
056 19. “Pandora's Box” March 30, 2007
Synopsis:
When a jet crashes in the middle of a forest, Charlie suspects that there is more to the crash than meets the eye. Lou Diamond Phillips appears again as FBI tracker Agent Ian Edgerton; D.W. Moffett also guest stars.

Mathematics used: Ito-Stratonovich drift integrals and wavelet deconvolution
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
057 20. “Burn Rate” April 6, 2007
Synopsis:
Don and Charlie hunt for a serial letter bomber and disagree over whether a key suspect, a physics professor (Matt Malloy) working as a consultant on explosives for the Department of Defense who eluded conviction once before, is responsible for the latest murder. Lisa Vidal and Kyle Howard also appear.

Mathematics used: Explosions, paradigm shift, coherence and outliers
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
058 21. “The Art of Reckoning” April 27, 2007
Synopsis:
When a former mob hit man on death row suddenly has a change of heart and agrees to confess to his crimes, Don has an uneasy feeling about the whole affair. Larry (Peter MacNicol) returns from his NASA mission. Jeremy Sisto, Wood Harris and Bruce MacVittie guest star. Kathy Najimy makes her final appearance of the season as Dr. Millie Finch.

Mathematics used: Probability theory and tit for tat
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
059 22. “Under Pressure” May 4, 2007
Synopsis:
Don, Charlie and the team take on an unknown group of terrorists who may be using nerve gas to undermine the city's water supply. James McDaniel and Erik Palladino guest star.

Mathematics used: Social network analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
060 23. “Money for Nothing” May 11, 2007
Synopsis:
A truck loaded with medical relief supplies and $50 million cash is stolen, and someone other than the FBI wants to recover the hijacked shipment. Don and the team find themselves being pitted against blackmarketeers in a race for the supplies and cash. William Russ, Wendell Pierce, LisaGay Hamilton, and William Shockley guest star.

Mathematics used: Greedy algorithm and Dijkstra's algorithm
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
061 24. “The Janus List” May 18, 2007
Synopsis:
In the wake of a deadly standoff with a mysterious, yet brilliant bomber, Don and Charlie discover that he was poisoned to keep him from exposing a secret while the team are left reeling and stunned after learning that one of their own is a traitor, a revelation that threatens to change the team forever... Martin Jarvis, Shawn Hatosy, and James Frain guest star.

Mathematics used: Merkle-Hellman, Wheat and Chessboard Problem, straddling checkerboard, substitution cipher, Bacon's cipher, knapsack problem and Lorentz force
Complete 4th Season
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
062 01. “Trust Metric” September 28, 2007
Synopsis:
Five weeks have passed since Colby Granger was exposed as a spy working for the Chinese government and after being captured and imprisoned, Colby escapes and along with friend and fellow spy Dwayne Carter race through the city, prompting Don and the team to join the search in hopes of recapturing the two men despite the team still struggling to come to terms with the devastating betrayal but all is not what it seems...

Mathematics used: Trust metric, set covering deployment, heuristics and Illumination problem
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
063 02. “Hollywood Homicide” October 5, 2007
Synopsis:
A girl turns up dead in a star's bathtub, leading the FBI team to uncover blackmail and murder while following his rescue, Colby rejoins the team.

Mathematics used: Snell's law, Archimedes' principle and game theory
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
064 03. “Velocity” October 12, 2007
Synopsis:
When a street race leads to a bad accident in which a man is killed, the FBI find links to a cold case.

Mathematics used: Angular momentum, centripetal force, conservation laws and Newton's laws of motion
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
065 04. “Thirteen” October 19, 2007
Synopsis:
The team is on the trail of a serial killer who tortures his victims the way the 12 apostles died. A Cal Sci Religious Studies professor is brought in to explain the history and the numerology, which Charlie refuses to accept.

Mathematics used: Fibonacci coding. See also: Numerology and Hebrew numerology
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
066 05. “Robin Hood” October 26, 2007
Synopsis:
A private bank with several suspicious customers is broken into, prompting the team to investigate while David and Colby get their "groove" back as Charlie and Amita discuss her father's reaction to her dating a non-Indian.

Mathematics used: Listing's law, projectile motion and dating system

"Note": The song playing at the beginning of the episode is "Spring and by Summer Fall" by Blonde Redhead.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
067 06. “In Security” November 2, 2007
Synopsis:
A woman in witness protection is killed after going to dinner with Don. The lead suspect is also in witness protection. Charlie's book is released.

Mathematics used: CART Analysis, Regression Analysis and Path Analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
068 07. “Primacy” November 9, 2007
Synopsis:
A man is killed while playing an alternate reality game. Amita, a longtime player of the MMORPG side of the game gets put in danger when the killer sees her as his only opponent. Charlie does a TV interview about his book. Charlie asks Amita to move in with him.

Mathematics used: Evolutionary algorithm
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
069 08. “Tabu” November 16, 2007
Synopsis:
A big businessman's daughter is kidnapped, but the whole game changes when he refuses to play along with the kidnappers. Megan deals with her issues with her father again.

Mathematics used: Tabu search, minimax and Bayesian priors
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
070 09. “Graphic” November 23, 2007
Synopsis:
A comic-book convention becomes a crime scene when a deadly robbery leads to the disappearance of an extremely rare comic book.

Mathematics used: Fractal Dimension Analysis, auction Theory and "Wrinkliness" (Detection of Handwriting Forgery)
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
071 10. “Chinese Box” December 14, 2007
Synopsis:
A paranoid gunman shoots an FBI agent at the FBI headquarters, then shuts himself and David in an elevator. Liz is leaving for a few weeks on a narcotics job.

Mathematics used: Chinese room, "Chomp" and cluster analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
072 11. “Breaking Point” January 11, 2008
Synopsis:
An investigative reporter goes missing while Charlie finds that his life is in danger after he tries to help Don and the team solve the case.

Mathematics used: Regression Analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
073 12. “Power” January 18, 2008
Synopsis:
Don and the team track down an officer who has turned into a serial rapist.

Mathematics used: Network theory and set theory
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
074 13. “Black Swan” April 4, 2008
Synopsis:
The team takes down an inner-city meth lab, and while on the bust they also arrest a bystander who is discovered to have guns and other suspicious items in the back of his van.

Mathematics used: Floyd-Warshall algorithm, Dirichlet tessellation, brute force and time series. See also: Black swan theory.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
075 14. “Checkmate” April 11, 2008
Synopsis:
Don's old flame returns to California to prosecute an incarcerated criminal kingpin who seems to be ordering assassinations from within the prison. Don and the team find themselves in a race against time to convince a teenage chess genius who may be the clue into finding how the orders are being sent.

Mathematics used: supervised multiclass labeling, paper folding, diamond cut, chess and algebraic chess notation
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
076 15. “End Game” April 25, 2008
Synopsis:
Don and his team hunt for an ex-Marine (Sharif Atkins) wanted for murder, while the ex-Marine's family is kidnapped.

Mathematics used: OODA Loop and decision theory
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
077 16. “Atomic No. 33” May 2, 2008
Synopsis:
A cult is poisoned with arsenic, but refuses medical help. Their new leader is trying to change that and other things about his church. When they find that the old leader was also poisoned with arsenic, the mystery gets deeper.

Mathematics used: Bayesian network analysis, Non-Newtonian fluid, social network analysis, affinity analysis and K-optimal pattern discovery
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
078 17. “Pay to Play” May 9, 2008
Synopsis:
A rapper is killed after a celebration thrown by the record label. Megan is taking some time off and Charlie finally meets Amita's parents.

Mathematics used: String metric and Gröbner basis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
079 18. “When Worlds Collide” May 16, 2008
Synopsis:
Charlie and the FBI have their differences about a Pakistani charity group suspected of funding terrorism.

Final appearance of: Diane Farr as Megan Reeves

Mathematics used: Byzantine fault tolerance, Figure-Ground, Wallpaper group, M. C. Escher, Hyperbolic geometry and Six degrees of separation
Complete 5th Season
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
080 01. “High Exposure” October 3, 2008
Synopsis:
Don and his team hunt for the killers of two rock climbers found in possession of a large diamond. Charlie decides he should get his FBI clearance reinstated while a new agent joins the team. Lou Diamond Phillips appears again as FBI tracker and sniper Agent Ian Edgerton; Ben Crowley, Joanna Canton, Myk Watford and Zach McGowan also guest star.

First appearance of: Sophina Brown as Nikki Betancourt

Mathematics used: Percolation Threshold and geometrical analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
081 02. “The Decoy Effect” October 10, 2008
Synopsis:
After a woman is murdered in what appears as an ATM robbery a series of kidnaps, rapes and murders turns into a hunt for the gang leader. New girl Nikki agrees to be the decoy, and Charlie's involvement leads to trouble for Don. Keith Carradine guest stars.

Mathematics used: Decoy effect, Hall effect and scheduling algorithm
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
082 03. “Blowback” October 17, 2008
Synopsis:
When eight people, including two LAPD police officers, are executed in a coffee shop, a detective (D. B. Woodside) gets the team on the case, and they uncover a trail of blackmail, romance and corruption. Also, McGowan's (Keith Carradine) investigation of Charlie and Don deepens. Morena Baccarin and Jonathan Silverman also guest star.

Mathematics used: Aggregation modeling and Hidden Markov model
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
083 04. “Jack of All Trades” October 24, 2008
Synopsis:
Don's team joins veteran FBI Agent Bloom (Henry Winkler) in tracking an elusive con man (Chuck Hittinger). Meanwhile, decisions are announced on Charlie's FBI clearance and disciplinary action for Don. Keith Carradine, Nora Dunn and Dianna Agron guest star.

Mathematics used: Belief propagation
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
084 05. “Scan Man” October 31, 2008
Synopsis:
The team hunts a crew stealing high-end goods from a shipping service and looks to an employee with savant-like abilities (Ashton Holmes) to lead them to those behind the scheme. Wendell Pierce, Ron Canada, Nick Mennell and Stefan Kapičić guest star.

Mathematics used: Geographic network, supply chain analysis and fractals
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
085 06. “Magic Show” November 7, 2008
Synopsis:
While on a date, David catches a disappearing act at a magic show but quickly becomes involved in the performance when the magician really vanishes. Magician Penn Jillette guest stars as himself, providing expertise on stage magic. Other guest stars include Lacey Kohl, Rutina Wesley, and Richard Libertini.

Mathematics used: Design Recovery
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
086 07. “Charlie Don't Surf” November 14, 2008
Synopsis:
One of Don and Charlie's childhood friends (played by professional surfer Brad Gerlach) dies in what is deemed an accident while surfing. Not convinced, the brothers investigate further at the behest of the victim's father Kevin Tighe. Rachel Roberts and Brad Hunt also guest star.

Mathematics used: Deconvolution, neural network, hyperspectral imaging and site-prediction modeling
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
087 08. “Thirty-Six Hours” November 21, 2008
Synopsis:
The team is sent to investigate and help with the recovery at a train crash; however, the train is carrying dangerous chemicals. Guest stars include Antonio Fargas, Lourdes Benedicto and Tony Amendola.

Note: During its original run, David Krumholtz gave a public service announcement stating that the episode was not in fact based on a similar train crash in the California area that occurred after taping, but before the episode aired.

Mathematics used: Infotaxis and swarm robotics
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
088 09. “Conspiracy Theory” December 5, 2008
Synopsis:
A bomb goes off during a high profile meeting and a documentary film maker (Josh Gad) has a conspiracy theory about it. Paul Michael Glaser and Jeff Kober also guest star.

Mathematics used: Simpson's paradox, Rationality theorem
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
089 10. “Frienemies” December 19, 2008
Synopsis:
Charlie and his rival Marshall Penfield (Colin Hanks) race against time to solve a case. Tony Curran also guest stars.

Mathematics used: Group Dynamics and Three Way Duel
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
090 11. “Arrow of Time” January 9, 2009
Synopsis:
Buck Winters (David Gallagher) escapes from prison, consumed by getting revenge against Don, forcing Don to face his past and turn to his new-found religious beliefs. Gary Basaraba and Rusty Schwimmer guest star.

Mathematics used: Hidden Markov model, Maxwell's demon and the Viterbi algorithm
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
091 12. “Jacked” January 16, 2009
Synopsis:
When 18 tourists on a bus are taken hostage, the team has only four hours to stop the hijackers. Fisher Stevens, Michael Beach, Chris Bruno, Chris McGarry and Seana Kofoed guest star.

Mathematics used: Articulate and Inverse Game Theory
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
092 13. “Trouble In Chinatown” January 23, 2009
Synopsis:
An undercover agent disappears, leading the FBI team deep into Chinatown's black market. The FBI gets help from the returning psychic Simon Kraft (John Glover). Other guest stars include Kelly Hu and Keone Young.

Mathematics used: Digital signal processing and Lévy flight
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
093 14. “Sneakerhead” February 6, 2009
Synopsis:
When a pair of valuable sneakers is stolen from the vault of a foreign diplomat (Bruno Campos), the team delves into the world of sneaker collecting. Patrick Bauchau, Eve, Eugene Byrd and Bruno Campos guest star.

Mathematics used: Pinball
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
094 15. “Guilt Trip” February 13, 2009
Synopsis:
When Robin's (Michelle Nolden) seemingly bulletproof case fails and a dangerous weapons smuggler is released, the team investigates the possibility of jury tampering. James Marsters and Ray Wise guest star.

Mathematics used: Probability, Mersenne twister, scientific jury selection and social networking potential
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
095 16. “Cover Me” February 27, 2009
Synopsis:
Liz goes undercover in an operation to stop a new illegal drug from hitting the streets after Charlie predicts that the drug in question will be the next "big thing" to hit the drug market. During the operation, David is assigned to be Liz's handler but he grows concerned for her safety after she ignores his plan and begins trusting a fellow undercover agent who may or may not be an addict himself. Eion Bailey, Lorraine Toussaint and Don Harvey guest star.

Mathematics used: Supply & Demand Theory
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
096 17. “First Law” March 6, 2009
Synopsis:
The FBI team investigates the death of visionary scientist Daniel Robertson; the prime suspect is Robertson's AI computer program, while Charlie considers an enticing job offer. Guest stars include Nancy Travis, Liane Balaban, and Adam Godley.

Mathematics used: Turing test
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
097 18. “12;01 AM” March 13, 2009
Synopsis:
The FBI team rushes to track down evidence that could save a mob boss (James Russo) from the death penalty. New information comes in that could exonerate him, leaving the team with only hours to run down the new lead. Gina Gershon and Daniel Bess guest star; Los Angeles Lakers players Pau Gasol and Jordan Farmar appear as ringers when Charlie has his first game coaching CalSci's woeful basketball team.

Mathematics used: Light Refraction and Voice Analysis
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
098 19. “Animal Rites” April 10, 2009
Synopsis:
The investigation into the death of a CalSci professor exposes possible links to animal rights extremists. Polly Walker, Michael Stahl-David and Gina Hecht guest star.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
099 20. “The Fifth Man” April 24, 2009
Synopsis:
Things go terribly wrong when Don gets injured during an investigation. Charlie and Alan have to put things into perspective, when the thought of possibly having to lose a part of their family comes to face them.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
100 21. “Disturbed” May 1, 2009
Synopsis:
Charlie focuses his attention on tracking a previously undetected serial killer to help deal with his guilt over Don's almost-fatal stabbing. He receives help from a geeky amateur sleuth and a retired accountant, who each research serial murders as a hobby. The investigation reveals that the killer may be responsible for over two dozen unsolved deaths. Josh Gad reappears in his previous role as a conspiracy theorist. John Rubinstein, Matthew Yang King and Brian Howe also guest star.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
101 22. “Greatest Hits” May 8, 2009
Synopsis:
The team investigates a string of bank robberies and believe that ex-FBI Agent Roger Bloom (played by returning guest star Henry Winkler) is responsible for them. The episode then ends with Amita being abducted at gunpoint as she and Charlie leave CalSci.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
102 23. “Angels and Devils” May 15, 2009
Synopsis:
With Amita having been kidnapped by the leader of a cult (James Callis) with female followers, the whole team including Ian Edgerton (Lou Diamond Phillips in his recurring role) race against the clock to bring Amita home safely before it's too late.

Mathematics used: Angel problem and burr puzzle
Complete 6th Season
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
103 01. “Hangman” September 25, 2009
Synopsis:
While Charlie waits for an answer to the question he popped to Amita, Don and his team try to hunt down a sniper (Gary Cole) intent on killing an activist (David Call) under FBI protection.

Mathematics used: Unexpected hanging paradox and Barberpole illusion
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
104 02. “Friendly Fire” October 2, 2009
Synopsis:
Two members of a unit led by Don's former mentor (Gregg Henry) are killed during a shootout with bank robbers. The bank robbers refuse to take responsibility for the killings and Charlie recreates the shootout to find out how they died, while Don must face up to the fact that his former mentor may be dirty. Lakers basketball player Jordan Farmar returns in another cameo performance.

Mathematics used: Triangulation
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
105 03. “7 Men Out” October 9, 2009
Synopsis:
To find the person behind a deadly gambling ring that is running a high-stakes Russian roulette tournament, Don and his team are called in to investigate. Elsewhere, Don and Charlie become concerned over Alan's financial health. Sarah Rafferty, Tim Guinee and Jason Antoon guest star.

Mathematics used: IP traceback
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
106 04. “Where Credit's Due” October 16, 2009
Synopsis:
The team investigates several deaths that turn out to be copies of a soon-to-be-released movie, while Larry goes on his own personal adventure. Alan continues his job search. Adam Goldberg, Jessica Lundy and Tyler Francavilla guest star.

Mathematics used: Triangulation
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
107 05. “Hydra” October 23, 2009
Synopsis:
The team attempts to find the daughter (Emily Skinner) of a geneticist (Christian Camargo) whom they suspect was kidnapped by the unstable mother. However, they become concerned about the case when they find evidence that suggests the young girl was a clone. Meanwhile, Charlie and Amita discuss having kids and Liz reveals a dark secret. Keith David, Tony Hale and Mia Barron also guest star.

Mathematics used: Wavelets, Acoustics and Cake cutting
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
108 06. “Dreamland” October 30, 2009
Synopsis:
A woman's corpse turns up at a decommissioned air base. John Michael Higgins and John Cariani guest star.

Mathematics used: Electric Fields for Three Point Charges, Cyclotrons and Gaussian Laser Modes
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
109 07. “Shadow Markets” November 6, 2009
Synopsis:
In order to find a cyber crime lord, the team conducts an undercover sting. The operation is prevented by a brilliant hacker (Josh Cooke) whose goal is to take over the Internet black market. However, his actions put him in a dangerous online war that might lead to murder. Pablo Schreiber, Wendy Makkena and Caroline Lagerfelt also guest star.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
110 08. “Ultimatum” November 13, 2009
Synopsis:
In the middle of a case where he is tracking down a criminal in charge of a heroin ring inside a prison, Agent Ian Edgerton (Lou Diamond Phillips, in a recurring role) unexpectedly turns into the murder suspect when the informant he meets with winds up dead, sending Edgerton over the edge when he takes a member of Don's team hostage. Christopher McDonald and Missi Pyle guest star.

Mathematics used: Pursuit-evasion, Game theory and Ultimatum game
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
111 09. “Con Job” November 20, 2009
Synopsis:
When robbers hit a diamond exchange and take hostages, Don and the team find an unlikely ally in convict John Buckley (Fisher Stevens), who may help the team's investigation when they believe the men are copying Buckley's criminal strategies. Jon David Casey and Ellen Hollman guest star.

Mathematics used: Packet injection, Man-in-the-middle attack and Combinatorial game theory (on hare games)
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
112 10. “Old Soldiers” December 4, 2009
Synopsis:
Agent Roger Bloom (Henry Winkler), who worked on the Cooper case, is brought in to help the team when they foil a robbery of an armored car full of Federal Reserve money and recover bills that trace back to the infamous D.B. Cooper heist. Michael Hogan and Rick Ravanello also guest star.

Mathematics used: Probabilistic risk assessment
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
113 11. “Scratch” January 8, 2010
Synopsis:
The team investigates the theft of scratch-off lottery tickets, but the stakes are raised when one of the culprits killed at a botched robbery turns out to be a former lottery winner. Guest stars include Michael O'Neill, Nicole Sullivan and Allison Smith.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
114 12. “Arm in Arms” January 15, 2010
Synopsis:
The team searches for a lost shipment of high-caliber firearms when one of the weapons is responsible for random killings throughout the city. Also, Charlie and Amita disagree on a wedding date while Don re-evaluates his relationship with Robin (Michelle Nolden). James Remar, Jon Seda and John Cariani guest star.

Mathematics used: Reverse trajectory, 4D mapping, Combinatorial optimization and Pigeonhole principle
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
115 13. “Devil Girl” January 29, 2010
Synopsis:
The team searches for a serial killer who is targeting men that solicit prostitutes. Also, Colby and Nikki deal with the aftermath of a car crash when they have an accident during the investigation. Tony Hale, Clea DuVall and Jeff Roop guest star.

Mathematics used: Geo-profiling and Scaled gradient projection
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
116 14. “And the Winner Is…” February 5, 2010
Synopsis:
The team gets a taste of the limelight when they search for jewels worth millions that have been stolen during an awards show broadcast. In addition, Don revisits an old case that is haunting him, and Larry (Peter MacNicol) returns from his adventure in the desert. Guest stars include Marilu Henner, William Katt, Rowena King, Rick Hoffman and Stephen Spinella.

Mathematics used: Retrograde analysis and Crowd flux dynamics
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
117 15. “Growin' Up” March 5, 2010
Synopsis:
The team investigates the deaths of two men who were part of a group of friends that had been sexually assaulted by a teacher when they were young boys. Jon Bernthal, Moira Kelly, Alan Ruck and Wendy Makkena are among the guest stars.
OVERALL NO. IN SEASON/TITLE ORIGINAL DATE
118 16. “Cause and Effect” March 12, 2010
Synopsis:
The team try to find Don's stolen gun, which is being used in a series of vigilante killings. Meanwhile, Charlie and Amita get married and Don decides on the direction he wants to take in life. Vyto Ruginis guest stars; Michelle Nolden, Lou Diamond Phillips, John Cariani and Matthew Yang King make final appearances in their recurring roles.
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