So I just finished my CALC 2 class with the highest marks in the class and I wanted to put together a “guide” on how to study for calculus. It doesn’t matter if you are taking AP Calculus or Calculus in college, this guide should be a general overview but I will mention some specifics to AP Calc.
Buy the AP CALC review books. Regardless of whether you are in college calculus or actually in AP Calculus, the review books are great in condensing materials and having good examples.
Create your own cheat sheet. Every time you learn a new formula or theorem, write it down in a cheat sheet. This forces you to recall the information constantly.
Know your common derivatives and common integrals like the back of your hand.
Fundamental Theorem of Calculus, Part I & II? Yeah, it’s fundamental. Need to know that.
Common limits? Yep, that too.
Know your pre-calc and algebra by heart. The hardest thing about calculus is not the formulas and theorems, but recalling past materials to solve a problem. If you could easily recognize trigonometric identities, you would be well set for the class.
Know what trig graphs look like and what they approach, etc.
Learn how to do the math without a calculator. Some professors don’t let you use calculators on the tests and when you are become too dependent on the calculator, you tend to forget how to do simple addition/subtraction and multiplication/division. Also, there is a non-calculator portion to the AP Calculus Exam, so don’t make your calculator your crutch.
Practice every day + do your homework. A little practice everyday goes a long way and doing your homework (even if it doesn’t count as a grade) can be a drastic way of improving your grades because chances are, your teacher knows you probably aren’t going to do the homework and will have test questions very similar to the homework questions.
Show all your work. Write all the steps out. If you make a mistake mentally, your whole answer will be wrong. To decrease the chances of loosing points for careless errors, label everything, even if it tedious.Also, work shown can count towards partial credit on tests.
Practice the problems from your textbook + problems outside your textbook.
Understand and review old tests. When you get your tests back, redo the whole test on another sheet of paper. Try to understand where you went wrong. Was it a simple math calculation error? Did you do the derivative wrong? Was the theorem wrong? Did you forget a step like checking for conditions to apply L’hopitals Rule or Alternating Series Test for Convergence? Whatever it is, go through the entire test (yes, even the ones you got right) and re-do it.
Ask for help when you don’t understand something. Solving touch calculus problems are easier when working with a group on a white board because you get a fresh set of eyes and a new mindset/approach to a problem. If you cannot tackle a problem, regardless of how many ways you have tried, it’s best to ask someone who already knows how to do it.
Buy review books. Honestly, this is self-explanatory. I usually would go with a Barron review book, but hey, what ever works with you.
Do the previously released AP Calc exams. If you are a BC student, do the release exams for both AB and BC for more practice.
Previously released AB Exams
Previously released BC Exams
Step-by-step explanations for free response questions release
AB Study Guide
I advise you to print out the cheat sheets and place it in the front of your calculus binder/notebook or where it can be easily accessed.
Cheat Sheets
AP Calculus Stuff You Must Know Cold
This 2-page cheat sheet is honestly god gifted and I advise you to print it out and laminate or something and put it in the front of your calc binder/notes. Will definitely save your life.
Algebra Cheat Sheet
Trigonometric Cheat Sheet
Calculus Cheat Sheet
Derivatives and Limits
Integrals
Online Tutorials + Videos
Khan Academy
Differential Calculus
Integral Calculus
Paul’s Online Math Notes
HippoCampus
Online Calculators
Symbolab’s Calculus Calculator
The most beautiful thing to ever exist when you are checking your answers or looking for the steps on how to do a problem.
Don’t rely on it too much. Actually learn how to do it.
Wolfram Alpha
Implicit Differentiation Calculator
Desmos Online Graphing Calculator
Bet you don’t know how to graph an x-function on that TI-84 without solving it out for y. But it’s cool, neither do I. That’s why I rely on Desmos’ Online Graphing Calculator.
For more tips follow How To Study Quick!
Live. на We Heart It.
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Hey! I like to prepare classes with my computer. And I want tell you few useful apps for education.
1. Evernote. I like to write lectures in it. 2. Pocket. With this app the way to prepare become much easy. 3. OneNote. Here I like to make notes in class when I haven’t my notebook with me. 4. My study life. Here is my schedule in tablet and computer. 5. TimeDoser. Same as Pomodoro. 6. Biodigital human. Good website for learning anatomy. 7. Gmail. Keep in touch with your teachers and colleagues. 8. Coursera. I’m interesting in different knowledges so I can listen lectures from all the world. 9. Youtube. Of course, a lot of good and interesting video can help in your study. Here are not only PewDiePie and video about kitties and fools. 10. Microsoft Office. Well, you know, reports and presentations and stuff.
005/100
I decided to do one of the “what’s in my school bag?” things.
Firstly, I’d just like to express my thanks to my faithful bag- I lug its huge soul everywhere and it has not once complained of showed any signs of stress. It’s somewhat like a Mary Poppins bag. Thank you, beloved bag.
I’ve got my Kikki K planner, which is an absolute lifesaver. I love it to bits. The A4 notebook which I use for random scribbles and things that don’t belong in my subject books. Then my textbook, which I’m always having to stop myself from highlighting in- I’ll be able to sell it one day I’m sure. My two subject books, these are awesome. I picked them (and about 5 others… oops) up from Kmart for $3! My beautiful pencil case which I get complimented on everywhere- it’s actually a makeup bag from Napoleon! It’s so lovely though. And my laptop, wallet, lip balm, and a collection of different medicines which I’m forever forgetting to take with me- perks of having a chronic illness that gives me zombie brain 🙈
by larae.net
Amazing- incredible, unbelievable, improbable, fabulous, wonderful, fantastic, astonishing, astounding, extraordinary
Anger- enrage, infuriate, arouse, nettle, exasperate, inflame, madden
Angry- mad, furious, enraged, excited, wrathful, indignant, exasperated, aroused, inflamed
Answer- reply, respond, retort, acknowledge
Ask- question, inquire of, seek information from, put a question to, demand, request, expect, inquire, query, interrogate, examine, quiz
Awful- dreadful, terrible, abominable, bad, poor, unpleasant
Bad- evil, immoral, wicked, corrupt, sinful, depraved, rotten, contaminated, spoiled, tainted, harmful, injurious, unfavorable, defective, inferior, imperfect, substandard, faulty, improper, inappropriate, unsuitable, disagreeable, unpleasant, cross, nasty, unfriendly, irascible, horrible, atrocious, outrageous, scandalous, infamous, wrong, noxious, sinister, putrid, snide, deplorable, dismal, gross, heinous, nefarious, base, obnoxious, detestable, despicable, contemptible, foul, rank, ghastly, execrable
Beautiful - pretty, lovely, handsome, attractive, gorgeous, dazzling, splendid, magnificent, comely, fair, ravishing, graceful, elegant, fine, exquisite, aesthetic, pleasing, shapely, delicate, stunning, glorious, heavenly, resplendent, radiant, glowing, blooming, sparkling
Begin - start, open, launch, initiate, commence, inaugurate, originate
Big - enormous, huge, immense, gigantic, vast, colossal, gargantuan, large, sizable, grand, great, tall, substantial, mammoth, astronomical, ample, broad, expansive, spacious, stout, tremendous, titanic, mountainous
Brave - courageous, fearless, dauntless, intrepid, plucky, daring, heroic, valorous, audacious, bold, gallant, valiant, doughty, mettlesome
Break - fracture, rupture, shatter, smash, wreck, crash, demolish, atomize
Bright - shining, shiny, gleaming, brilliant, sparkling, shimmering, radiant, vivid, colorful, lustrous, luminous, incandescent, intelligent, knowing, quick-witted, smart, intellectual
Calm - quiet, peaceful, still, tranquil, mild, serene, smooth, composed, collected, unruffled, level-headed, unexcited, detached, aloof
Come - approach, advance, near, arrive, reach
Cool - chilly, cold, frosty, wintry, icy, frigid
Crooked - bent, twisted, curved, hooked, zigzag
Cry - shout, yell, yowl, scream, roar, bellow, weep, wail, sob, bawl
Cut - gash, slash, prick, nick, sever, slice, carve, cleave, slit, chop, crop, lop, reduce
Dangerous - perilous, hazardous, risky, uncertain, unsafe
Dark - shadowy, unlit, murky, gloomy, dim, dusky, shaded, sunless, black, dismal, sad
Decide - determine, settle, choose, resolve
Definite - certain, sure, positive, determined, clear, distinct, obvious
Delicious - savory, delectable, appetizing, luscious, scrumptious, palatable, delightful, enjoyable, toothsome, exquisite
Describe - portray, characterize, picture, narrate, relate, recount, represent, report, record
Destroy - ruin, demolish, raze, waste, kill, slay, end, extinguish
Difference - disagreement, inequity, contrast, dissimilarity, incompatibility
Do - execute, enact, carry out, finish, conclude, effect, accomplish, achieve, attain
Dull - boring, tiring„ tiresome, uninteresting, slow, dumb, stupid, unimaginative, lifeless, dead, insensible, tedious, wearisome, listless, expressionless, plain, monotonous, humdrum, dreary
Eager - keen, fervent, enthusiastic, involved, interested, alive to
End - stop, finish, terminate, conclude, close, halt, cessation, discontinuance
Enjoy - appreciate, delight in, be pleased, indulge in, luxuriate in, bask in, relish, devour, savor, like
Explain - elaborate, clarify, define, interpret, justify, account for
Fair - just, impartial, unbiased, objective, unprejudiced, honest
Fall - drop, descend, plunge, topple, tumble
False - fake, fraudulent, counterfeit, spurious, untrue, unfounded, erroneous, deceptive, groundless, fallacious
Famous - well-known, renowned, celebrated, famed, eminent, illustrious, distinguished, noted, notorious
Fast - quick, rapid, speedy, fleet, hasty, snappy, mercurial, swiftly, rapidly, quickly, snappily, speedily, lickety-split, posthaste, hastily, expeditiously, like a flash
Fat - stout, corpulent, fleshy, beefy, paunchy, plump, full, rotund, tubby, pudgy, chubby, chunky, burly, bulky, elephantine
Fear - fright, dread, terror, alarm, dismay, anxiety, scare, awe, horror, panic, apprehension
Fly - soar, hover, flit, wing, flee, waft, glide, coast, skim, sail, cruise
Funny - humorous, amusing, droll, comic, comical, laughable, silly
Get - acquire, obtain, secure, procure, gain, fetch, find, score, accumulate, win, earn, rep, catch, net, bag, derive, collect, gather, glean, pick up, accept, come by, regain, salvage
Go - recede, depart, fade, disappear, move, travel, proceed
Good - excellent, fine, superior, wonderful, marvelous, qualified, suited, suitable, apt, proper, capable, generous, kindly, friendly, gracious, obliging, pleasant, agreeable, pleasurable, satisfactory, well-behaved, obedient, honorable, reliable, trustworthy, safe, favorable, profitable, advantageous, righteous, expedient, helpful, valid, genuine, ample, salubrious, estimable, beneficial, splendid, great, noble, worthy, first-rate, top-notch, grand, sterling, superb, respectable, edifying
Great - noteworthy, worthy, distinguished, remarkable, grand, considerable, powerful, much, mighty
Gross - improper, rude, coarse, indecent, crude, vulgar, outrageous, extreme, grievous, shameful, uncouth, obscene, low
Happy - pleased, contented, satisfied, delighted, elated, joyful, cheerful, ecstatic, jubilant, gay, tickled, gratified, glad, blissful, overjoyed
Hate - despise, loathe, detest, abhor, disfavor, dislike, disapprove, abominate
Have - hold, possess, own, contain, acquire, gain, maintain, believe, bear, beget, occupy, absorb, fill, enjoy
Help - aid, assist, support, encourage, back, wait on, attend, serve, relieve, succor, benefit, befriend, abet
Hide - conceal, cover, mask, cloak, camouflage, screen, shroud, veil
Hurry - rush, run, speed, race, hasten, urge, accelerate, bustle
Hurt - damage, harm, injure, wound, distress, afflict, pain
Idea - thought, concept, conception, notion, understanding, opinion, plan, view, belief
Important - necessary, vital, critical, indispensable, valuable, essential, significant, primary, principal, considerable, famous, distinguished, notable, well-known
Interesting - fascinating, engaging, sharp, keen, bright, intelligent, animated, spirited, attractive, inviting, intriguing, provocative, though-provoking, challenging, inspiring, involving, moving, titillating, tantalizing, exciting, entertaining, piquant, lively, racy, spicy, engrossing, absorbing, consuming, gripping, arresting, enthralling, spellbinding, curious, captivating, enchanting, bewitching, appealing
Keep - hold, retain, withhold, preserve, maintain, sustain, support
Kill - slay, execute, assassinate, murder, destroy, cancel, abolish
Lazy - indolent, slothful, idle, inactive, sluggish
Little - tiny, small, diminutive, shrimp, runt, miniature, puny, exiguous, dinky, cramped, limited, itsy-bitsy, microscopic, slight, petite, minute
Look - gaze, see, glance, watch, survey, study, seek, search for, peek, peep, glimpse, stare, contemplate, examine, gape, ogle, scrutinize, inspect, leer, behold, observe, view, witness, perceive, spy, sight, discover, notice, recognize, peer, eye, gawk, peruse, explore
Love - like, admire, esteem, fancy, care for, cherish, adore, treasure, worship, appreciate, savor
Make - create, originate, invent, beget, form, construct, design, fabricate, manufacture, produce, build, develop, do, effect, execute, compose, perform, accomplish, earn, gain, obtain, acquire, get
Mark - label, tag, price, ticket, impress, effect, trace, imprint, stamp, brand, sign, note, heed, notice, designate
Mischievous - prankish, playful, naughty, roguish, waggish, impish, sportive
Move - plod, go, creep, crawl, inch, poke, drag, toddle, shuffle, trot, dawdle, walk, traipse, mosey, jog, plug, trudge, slump, lumber, trail, lag, run, sprint, trip, bound, hotfoot, high-tail, streak, stride, tear, breeze, whisk, rush, dash, dart, bolt, fling, scamper, scurry, skedaddle, scoot, scuttle, scramble, race, chase, hasten, hurry, hump, gallop, lope, accelerate, stir, budge, travel, wander, roam, journey, trek, ride, spin, slip, glide, slide, slither, coast, flow, sail, saunter, hobble, amble, stagger, paddle, slouch, prance, straggle, meander, perambulate, waddle, wobble, pace, swagger, promenade, lunge
Moody - temperamental, changeable, short-tempered, glum, morose, sullen, mopish, irritable, testy, peevish, fretful, spiteful, sulky, touchy
Neat - clean, orderly, tidy, trim, dapper, natty, smart, elegant, well-organized, super, desirable, spruce, shipshape, well-kept, shapely
New - fresh, unique, original, unusual, novel, modern, current, recent
Old - feeble, frail, ancient, weak, aged, used, worn, dilapidated, ragged, faded, broken-down, former, old-fashioned, outmoded, passe, veteran, mature, venerable, primitive, traditional, archaic, conventional, customary, stale, musty, obsolete, extinct
Part - portion, share, piece, allotment, section, fraction, fragment
Place - space, area, spot, plot, region, location, situation, position, residence, dwelling, set, site, station, status, state
Plan - plot, scheme, design, draw, map, diagram, procedure, arrangement, intention, device, contrivance, method, way, blueprint
Popular - well-liked, approved, accepted, favorite, celebrated, common, current
Predicament - quandary, dilemma, pickle, problem, plight, spot, scrape, jam
Put - place, set, attach, establish, assign, keep, save, set aside, effect, achieve, do, build
Quiet - silent, still, soundless, mute, tranquil, peaceful, calm, restful
Right - correct, accurate, factual, true, good, just, honest, upright, lawful, moral, proper, suitable, apt, legal, fair
Run - race, speed, hurry, hasten, sprint, dash, rush, escape, elope, flee
Say/Tell - inform, notify, advise, relate, recount, narrate, explain, reveal, disclose, divulge, declare, command, order, bid, enlighten, instruct, insist, teach, train, direct, issue, remark, converse, speak, affirm, suppose, utter, negate, express, verbalize, voice, articulate, pronounce, deliver, convey, impart, assert, state, allege, mutter, mumble, whisper, sigh, exclaim, yell, sing, yelp, snarl, hiss, grunt, snort, roar, bellow, thunder, boom, scream, shriek, screech, squawk, whine, philosophize, stammer, stutter, lisp, drawl, jabber, protest, announce, swear, vow, content, assure, deny, dispute
Scared - afraid, frightened, alarmed, terrified, panicked, fearful, unnerved, insecure, timid, shy, skittish, jumpy, disquieted, worried, vexed, troubled, disturbed, horrified, terrorized, shocked, petrified, haunted, timorous, shrinking, tremulous, stupefied, paralyzed, stunned, apprehensive
Show - display, exhibit, present, note, point to, indicate, explain, reveal, prove, demonstrate, expose
Slow - unhurried, gradual, leisurely, late, behind, tedious, slack
Stop - cease, halt, stay, pause, discontinue, conclude, end, finish, quit
Story - tale, myth, legend, fable, yarn, account, narrative, chronicle, epic, sage, anecdote, record, memoir
Strange - odd, peculiar, unusual, unfamiliar, uncommon, queer, weird, outlandish, curious, unique, exclusive, irregular
Take - hold, catch, seize, grasp, win, capture, acquire, pick, choose, select, prefer, remove, steal, lift, rob, engage, bewitch, purchase, buy, retract, recall, assume, occupy, consume
Tell - disclose, reveal, show, expose, uncover, relate, narrate, inform, advise, explain, divulge, declare, command, order, bid, recount, repeat
Think - judge, deem, assume, believe, consider, contemplate, reflect, mediate
Trouble - distress, anguish, anxiety, worry, wretchedness, pain, danger, peril, disaster, grief, misfortune, difficulty, concern, pains, inconvenience, exertion, effort
True - accurate, right, proper, precise, exact, valid, genuine, real, actual, trusty, steady, loyal, dependable, sincere, staunch
Ugly - hideous, frightful, frightening, shocking, horrible, unpleasant, monstrous, terrifying, gross, grisly, ghastly, horrid, unsightly, plain, homely, evil, repulsive, repugnant, gruesome
Unhappy - miserable, uncomfortable, wretched, heart-broken, unfortunate, poor, downhearted, sorrowful, depressed, dejected, melancholy, glum, gloomy, dismal, discouraged, sad
Use - employ, utilize, exhaust, spend, expend, consume, exercise
Wrong - incorrect, inaccurate, mistaken, erroneous, improper, unsuitable
These tips are not my own: I was perusing the web a few days ago and found these rather helpful tips for note taking, nothing groundbreaking but they’re from Cambridge University sooo. I hope they provides some insight.
Note-taking
Notes taken during lectures, seminars and research will form the basis of your work, helping you to prepare essays and dissertations and revise for exams. Effective note-taking is a very useful skill which can help you to:
focus and concentrate
organise and record key details
gain a fuller understanding of the information and improve your recall
save time and energy by working more efficiently.
Tips for effective note-taking
be critical about the material - assess its importance to the subject matter, and its credibility
don’t copy large amounts of text verbatim
always keep detailed notes of any resources used so that you can reference properly later
review and summarise your notes afterwards
organise and store your notes so that they are easy to retrieve
The following are examples of note-taking techniques:
mind maps (e.g. spider diagram) - help you to visualise key points and the connections and overlaps between them
tabular notes - help with making comparisons between points
flow charts - help to visualise steps in a process
index cards
highlighting and annotating.
To get the most out of your lectures, you may find it useful to:
find out the subject of the lecture beforehand and read up, so that you’ll be prepared for the key themes and ideas
don’t try to write down everything - keep to main points
create a wide margin on each page so that there’s room to expand on your notes later.
When note-taking from written material it is helpful to:
take reference details down before you start reading
reading the introduction and conclusion is useful for ascertaining the main arguments and context
read critically.
Setting up my first bullet journal! I want to test it out as a planning method this summer. Please let me know if you have any tips!
For us students, Sunday is universally hated day. Full of last minute homework assignments, cramming for tests and existential crises, Sundays are almost always awful. Nothing is worse than having a stressful start to your week so in an effort to make things easier for all us, I made a Sunday Checklist for you get your life in order on Sundays so that you don’t get swept away by your mountain of responsibilities.
Pull out your planner: Enter in all test dates and due dates that haven't already been inputed. Check to see what you have going on that week.
Make a to-do list: Include all assignments due Monday/Tuesday and anything else you need to get done. Highlight or mark high priority items and get them done first.
Start working: Finish high priority assignments first and then move on to the less pressing tasks. Use the Pomodoro technique to keep yourself productive.
Review material: After finishing your assignments, spend some time reviewing last week’s material for each class to refresh yourself. It’s easy to forget what you’re studying if you don’t touch your textbooks at all during the weekends.
Clean out your bag: Empty your backpack and reorganize everything for the week. You’ll be amazed at how much trash and stray papers you’ll find.
Make food for the week: If you’re like me and hate cafeteria food, make a few dishes and refrigerate them for the week. Pasta is an ideal choice for me because its not only fairly easy to make but it packs lots of calories for long school days.
Pick out your outfits for the week: Doing this will make your morning so much easier because literally all you have to do is get yourself dressed.
Laundry: Getting laundry done during the week usually never happens with a busy schedule so get it done on Sunday night so you’re not scrambling for clothes mid-week.
Clean your room: Keep your sanity during week by tidying your room up during weekends so you’re not left wondering where that homework assignment disappeared to.
If you find yourself having really busy weekdays, try your best to keep Sundays free of any commitments so you have a full day to get all your homework and studying for the week done! I usually get everything done on Sundays and do minimal studying during the week. Also push yourself to get up early on Sundays; I know its tempting to sleep in but you will be surprised at how much more time you have in your day when you wake up early.
Here’s to a happy school year free of stress!
-Ramya // futurecristinayang