Problems to study for Math 116 Exam 3

Here is a breakdown of Math 116 Exam 3 by topic. Each problem reference is a link, so you can click on it to see the problem. Your browser should take you to the right page of the exam, but keep in mind that the problem you're looking for might be toward the bottom of the page. Next to each problem you'll see a # character. If you click on that, it should take you to the solution.

Old exam problems should not be the only thing you study. They are designed to test knowledge, not teach it. And there's a danger that you might start thinking you know exactly what will be on the test. While there are some predictable topics, there will undoubtedly be questions on this year's exam which are different from any that have appeared before. So keep in mind that you're training yourself to approach hard problems, not memorizing how to do particular types.

Here's my suggestion for how to use this page:

  1. Try a sampling of problems to identify an area that you need help with.
  2. Go to your book to read about the topic.
  3. Come back here and find more problems on the same topic, to see if you got it.

Don't omit step 2.

I'm not entirely happy with the topics shown below. Please make suggestions on how to better categorize problems.

Let me know any errors you find, and any other feedback you have on how well it works and how to make it more useful. Links to all the exams are at the bottom of the page.

Topic 2001–2012 2013–present
TF/Multiple choice [1#] [2#] [6#] [6#] [9#] [10#] [1#] [9#] [1#] [1#] [1#] [1#] [1#] [1#] [3#] [5#] [6#] [11#] [5#] [12#] [9#]
Taylor Series [7#] [8#] [7#] [3#] [relativity(6)#] [essay(10)#] [Si(4)#] [3#] [electric potential(10)#] [electric potential(8)#] [1a#] [5#] [Doppler(8a)#] [Doppler(10a)#] [1#] [7#] [relativity(9a)#] [7c#] [cos(8)#] [2#] [erf(3)#] [reaction(7)#] [1#] [rule of 70(5)#] [7b#] [1#] [snow(7b)#] [7#] [6#] [9#] [Fourier(9)#] [circuit(5)#] [6#] [9#] [3#] [air resistance(9)#] [10#] [4b#] [8#] [3#] [2#] [3#] [chicken coop(12)#] [2b#] [Bessel(4)#] [6#] [2a#] [4#] [5#] [8b#] [3c#] [6#] [Hanoi Tower(11)#] [5#] [Legendre(7)#] [9ac#] [6#] [10#] [6#] [10bc#] [5e#] [8#] [11#] [1de#] [5b#] [10#]
Parametric Equations [Battle Bugs(10)#] [4#] [Okefenokee(6)#] [2#] [4#] [hormones(11)#] [Ferris(5)#] [5#] [8bc#] [6#] [5#] [4#] [5b#] [ant(5)#] [2#] [3#] [6#] [heart(5)#] [birds(3)#] [alpacas(2)#] [soup(6)#] [8a#] [chickens vs. robots(7b)#] [spinning(1)#] [boxers2(8)#] [11#] [O ghan(3)#] [tracking chip(10)#] [8#] [Venice Beach(6)#] [8c#] [4#] [toy car(7)#] [witch curves(7a)#] [nightmare(1)#] [7#] [2#] [Xena(8)#]
Arc Length (Parametric Curves) [Okefenokee(6d)#] [ant(5)#] [2#] [spinning(1)#] [8a#] [Venice Beach(6)#] [4#]
Polar Coordinates [9bc#] [wing(6)#] [8#] [triangle(6)#] [5#] [8#] [cardioid(2)#] [5#] [microphone(2)#] [lagoon(8)#] [pledge pin(6)#] [spirals(8)#] [spiral(2)#] [5#] [peanut(8)#] [volcano(4)#] [pond rock(9)#] [alpaca pool(7)#] [6b#] [crop circle(8)#] [wild chickens(5)#] [lilypad(2)#] [spaceship(11)#] [ladybugs2(10)#] [moon(4)#] [tatoo(9)#] [Leia Han Luke(2)#] [can opener(9)#] [propeller(1)#] [7#] [8a#] [lemniscate(2)#] [8d#] [sand dollar(8)#] [2p1 orbital(4)#] [2#] [trail(6)#] [butterfly(4)#]
Arc Length (Polar Coords) [8c#] [cardioid(2c)#] [spirals(8)#] [pond rock(9b)#] [lilypad(2)#] [ladybugs2(10c)#] [polar rose(3)#] [6e#] [Leia Han Luke(2b)#] [propeller(1)#] [lemniscate(2)#] [2#] [trail(6b)#] [butterfly(4b)#]
Diff Eqs [2#] [slime(3)#] [rhinos(4)#] [10#] [xmas(7)#] [Frodo(9)#] [egg(7)#] [tank(9)#] [1c#] [retirement(9)#] [shrimp(1)#] [apple(2)#] [7d#] [4a#] [sprint(5)#] [horse(4)#] [3#] [ibuprofin(6b)#] [ice sculpture(4)#] [filter(5)#] [bucket(1)#] [interest(4)#] [ice cube(9)#] [coffee(5)#] [4#] [fishtank(7)#] [birds(6)#] [grasshoppers1(3)#] [grasshoppers2(4)#] [wood(5)#] [ventilation(4)#] [air filter(7)#] [9#] [bank(9)#] [tank/bank(4)#] [5a#] [cell growth(3)#] [tank(4)#] [banks(7)#] [air resistance(9)#] [2#] [3#] [leaky cone(7)#] [drug(6)#] [2#] [zombies(8)#] [1#] [swimming pool(7)#] [8#] [1#] [robot uprising(1)#] [trip to store(2)#] [potion(3)#] [EMP(1c)#] [chickens vs. robots(7a)#] [spring(4)#] [caffeine drip(6)#] [black hole(7)#] [ladybugs1(9)#] [rabbits(2)#] [6d#] [currency(7)#] [rumor(3)#] [Drake(4)#] [6ab#] [hiking(8)#] [7#] [2#] [election(3)#] [Porcinate(5)#] [8b#] [interns(6)#] [1#] [leaky boat(3)#] [tea(7)#] [drug(11a)#] [foxes(1)#] [dunking booth(5)#] [spring(8b)#] [leaves(2)#] [penny(9)#] [cookies(3)#] [9c#]
Slope Fields [8#] [10c#] [1#] [1#] [5a#] [hormones(11bc)#] [7b#] [6#] [3#] [3c#] [2#] [3#] [4b#] [grasshoppers2(4)#] [ventilation(4)#] [9#] [5b#] [2#] [bees(4)#] [2#] [termites(7)#] [6b#] [1a#] [3#] [6a#] [5#] [5#] [7#] [4#] [10#] [12#] [Xena(8)#]
Stability/Equilibrium [5#] [5bc#] [retirement(9c)#] [hormones(11a)#] [shrimp(1ab)#] [3d#] [4c#] [grasshoppers1(3)#] [grasshoppers2(4)#] [wood(5)#] [air filter(7)#] [bank(9)#] [5c#] [fish(6)#] [2#] [cell growth(3)#] [2#] [drug(6)#] [2#] [6a#] [3#] [swimming pool(7)#] [1#] [robot uprising(1)#] [11c#] [8#] [ladybugs1(9)#] [5c#] [boxing3(8b)#] [Adele(5)#] [Bovinate(6)#] [interns(6)#] [4#] [foxes(1)#] [cookies(3c)#] [Xena(8c)#] [11a#]

Older topics that may be on the final:

Topic 2001–2012 2013–present
Fundamental Theorems [1d#] [2#] [Si(1)#] [5e#] [7#] [traffic(10)#] [farm(9)#] [2#] [5#] [7#] [particle(8)#] [1#] [aphids(8)#] [horcrux(2)#] [4#] [1ab#] [cookies(3a)#] [5#] [7abd#] [instruction speed(8a)#] [exam rate(5ab)#] [7a#] [air resistance(8a)#] [2#] [earth(4c)#] [containers(1)#] [2a#] [4#] [5bd#] [8a#] [9#] [7#] [8#] [primes(1)#] [5abe#] [7#] [2#] [BTB(5)#] [sewage flow(3)#] [2#] [3#] [paint truck(7)#] [photo sharing(2)#] [3#] [8#] [2#] [2#] [island(3b)#] [4#] [5a#] [4ab#] [8c#] [2#] [tank(3)#] [2#] [3cd#] [5#] [tortoise+hare(8)#] [skydiver(5a)#] [Big House(2)#] [5#] [caffeine(7b)#] [8c#] [toxic fumes(5cd)#] [4#] [5c#] [6#] [1#] [2#] [3d#] [8b#] [EMP(1)#] [bucket(1)#] [rollerblading(6)#] [2#] [4#] [boxers1(7bc)#] [2#] [3#] [diver(4)#] [5#] [8bc#] [1#] [10c#] [sparrows(2)#] [4a#] [6a#] [Equinate(11)#] [plankton(2)#] [4c#] [counting money(5a)#] [7ab#] [8c#] [tomatoes(1)#] [6#] [solar panel(5bc)#] [8#] [11cd#] [owl and dove(2)#] [4#] [6ac#] [3ab#] [2#] [4c#] [7a#] [1b#] [2#] [3b#] [polar vortex(4b)#]
Riemann Sums [3#] [5#] [chemical spill(3bcd)#] [3#] [3#] [cookies(3bcd)#] [6#] [ice cream(2)#] [8c#] [3#] [sewage flow(3d)#] [drug(4)#] [lagoon(8)#] [photo sharing(2)#] [garden(6)#] [island(3a)#] [8ab#] [tank(3f)#] [5bc#] [3#] [2#] [skydiver(5b)#] [light bulb(1)#] [Big House(2d)#] [shawarma kafta(4b)#] [toxic fumes(5ab)#] [1a#] [2#] [board game(7c)#] [8c#] [EMP(1b)#] [4#] [8a#] [1d#] [5#] [caffeine IV(1a)#] [catapult(1)#] [3ab#] [4#] [8b#] [counting money(5bcd)#] [7cd#] [tomatoes(1c)#] [1a#] [catenary(2d)#] [11ab#] [8#] [10ac#] [3cd#] [4b#] [tennis balls(9)#] [1c#] [11b#] [5#] [carrot(7c)#] [9#]
Area/Volume Integrals [table leg(3)#] [geyser(11)#] [sandpile(9)#] [snowman(3)#] [tank(10)#] [6#] [7#] [6a#] [Circle City(8)#] [9e#] [plate(6)#] [sculpture(7)#] [bell(1)#] [11c#] [pyramid(3)#] [pond(4)#] [earth(4)#] [submarine(2a)#] [5#] [metal sheet(8ab)#] [sculpture(6)#] [ice cream(2)#] [10#] [4#] [cubic submarine(6b)#] [metal plate(8ab)#] [6#] [wine glass(7)#] [4#] [7#] [4b#] [elliptical(7a)#] [7#] [9a#] [light bulb(1)#] [9#] [10#] [table leg(11)#] [doorknob(9)#] [board game(7)#] [8d#] [chickens vs. robots(7c)#] [dog bowl(2a)#] [money pool(5)#] [8b#] [3bc#] [thumbtack doorknob(10)#] [jewelry(7)#] [8d#] [Hanoi Tower(11)#] [6b#] [weather balloon(3)#] [Rodin Coil(6)#] [disc tower(2a)#] [catenary(2b)#] [rattleback(6)#] [2#] [pyramid(7)#] [10b#] [juice(10b)#] [tent(3)#] [6ab#] [3c#] [smoothies(6)#] [8b#]
Volume Integral with Density [stalagmite(9)#] [pyramid(6)#] [bucket(4ab)#] [sculpture(6)#] [sewage tank(2)#] [sand dune(8)#] [bowling pin(5)#] [garden(6)#] [plate(10)#] [tank(6)#] [lagoon(9)#] [4c#] [5a#] [elliptical(7b)#] [8#] [property values(4)#] [9b#] [cone(7a)#] [shawarma kafta(4)#] [olive oil(9a)#] [hemisphere(3)#] [doorknob(9)#] [knife(5)#] [plate(6a)#] [caffeine IV(1b)#] [carrots(6)#] [fishtank(3)#] [graphene(5)#] [rattleback(6)#] [4#] [Print.juice(3)#] [juice(10a)#] [6c#] [pond(8ab)#] [paperweight(6)#] [carrot(7)#] [8c#]
Work [chain(8)#] [piston(7)#] [submarine(3a)#] [dirt(4)#] [resevoir(6)#] [rocket(1)#] [bio willie(7)#] [wine glass(7b)#] [mining hole(9)#] [tank(6)#] [tank(6)#] [swimming pool(6)#] [cone(7b)#] [triangular tank(6)#] [olive oil(9b)#] [drag queens(7)#] [hot chocolate(9)#] [punchbowl(10)#] [ditch(4)#] [money pool(5)#] [shark(8)#] [sand(7)#] [trash bag(9)#] [pyramid(12)#] [chocolate prism(9)#] [purple key(9)#] [Shamcorp(10)#] [4d#] [8a#] [nano pyramid(9)#] [rocket(9)#] [alfalfa funnel(4)#] [chain(9)#] [spring(8a)#] [sandbag(5)#] [muck tank(9)#] [video work(5)#] [pond(8c)#] [Infinity Tower(9)#]
Improper integrals [5#] [8#] [8#] [4c#] [6#] [4#] [6b#] [7#] [instruction speed(8c)#] [9#] [2#] [6#] [pond(4c)#] [7#] [9#] [2#] [5c#] [plankton(6)#] [population(2c)#] [3#] [8c#] [2#] [7#] [rocket(1b)#] [6#] [rod gravity(7)#] [8#] [5#] [spirals(8)#] [2#] [rod(7)#] [8#] [4c#] [7#] [2#] [4#] [6#] [tree(4)#] [6#] [4a#] [10#] [11#] [6#] [5#] [7#] [9#] [6ab#] [11a#] [9#] [10#] [3#] [ladybugs2(10d)#] [1#] [6bc#] [9#] [6#] [1#] [6cde#] [9#] [10a#] [9#] [11#] [5#] [9#] [6#] [2#] [5#] [8ab#] [witch curves(7b)#] [2#] [8#] [4b#] [1#] [3#] [8#] [5a#] [3#]
Series Converge/Diverge [6#] [2#] [4#] [3#] [1b#] [1b#] [8#] [8c#] [5#] [cos(8a)#] [4#] [5#] [1#] [2#] [9#] [6#] [2#] [3#] [6#] [8#] [5#] [5#] [3#] [7c#] [9#] [2#] [7#] [2#] [10#] [7#] [3#] [5#] [6#] [9#] [2#] [4#] [8#] [6cd#] [10#] [11b#] [1#] [10#] [13#] [2#] [pizzas(5)#] [10d#] [3bc#] [4#] [9d#] [disc tower(2b)#] [3#] [sand dollar(8c)#] [6#] [8c#] [gamma(10b)#] [12#] [6#] [11#] [4a#] [4#] [7#] [9#] [10#] [7#] [9ab#] [5#] [6ac#] [10#]
Prob Dist/Density [juggling(5)#] [1#] [bus(7)#] [pollen(5)#] [1c#] [juice(2)#] [6#] [jobs(3)#] [squirrels(8)#] [math classes(9)#] [5#] [Cauchy(8)#] [wind(1)#] [snow(7)#] [switchboard(4)#] [camp(6)#] [bus(5)#] [cell phone(3)#] [pizza delivery(6)#] [robot(3)#] [wire(9)#] [2c#] [internet cafe(8)#] [tree(4)#] [pneumonia(5)#] [coffee(9)#] [telemarketing(5)#] [6#] [3#] [psych experiment(9)#] [class time(5)#] [10#] [5c#] [1c#] [3b#] [bus(5)#] [bicycle vs bus(2)#] [8#]

All Exam 3's, with their medians:

Winter, 2003 Exam Solutions Winter, 2013 Exam Solutions 64
Fall, 2003 Exam Solutions 60 Fall, 2013 Exam Solutions 72
Winter, 2004 Exam Solutions 63 Winter, 2014 Exam Solutions 62
Fall, 2004 Exam Solutions 54 Fall, 2014 Exam Solutions 71
Fall, 2005 Exam Solutions 58 Winter, 2015 Exam Solutions 56
Fall, 2006 Exam Solutions 50 Fall, 2015 Exam Solutions 75
Fall, 2007 Exam Solutions 51 Winter, 2016 Exam Solutions 55
Fall, 2008 Exam Solutions 40 Fall, 2016 Exam Solutions 60
Fall, 2009 Exam Solutions 60 Winter, 2017 Exam Solutions 51
Winter, 2010 Exam Solutions Fall, 2017 Exam Solutions 65
Fall, 2010 Exam Solutions 58 Winter, 2018 Exam Solutions 66
Winter, 2011 Exam Solutions 57 Fall, 2018 Exam Solutions 61
Fall, 2011 Exam Solutions 51  
Winter, 2012 Exam Solutions 60  
Fall, 2012 Exam Solutions 67  

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