{"id":617,"date":"2024-04-26T15:57:03","date_gmt":"2024-04-26T15:57:03","guid":{"rendered":"https:\/\/sites.rutgers.edu\/laurent-vera\/?page_id=617"},"modified":"2026-01-10T10:24:15","modified_gmt":"2026-01-10T10:24:15","slug":"math-151","status":"publish","type":"page","link":"https:\/\/sites.rutgers.edu\/laurent-vera\/math-151\/","title":{"rendered":"Math 151"},"content":{"rendered":"<h4><strong>Master Resources.<\/strong><\/h4>\n<ul>\n<li><a href=\"https:\/\/rutgers.box.com\/s\/lxakq3njztr9jnb4phcmg3820qh5fft0\">All Lecture Notes<\/a><\/li>\n<li><a href=\"https:\/\/rutgers.box.com\/s\/adlwi6ppqdxp2if8v64gsn2a9jgq850q\">All Worksheets<\/a>, <a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2024\/04\/allworksheetssol.pdf\">Solutions<\/a><\/li>\n<li><a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2025\/05\/previousexams.pdf\">Previous Exams<\/a>, <a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2025\/05\/previousexamssol.pdf\">Solutions<\/a><\/li>\n<li><a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2024\/04\/midterm1practice.pdf\">Midterm 1 Practice Problems<\/a>, <a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2024\/04\/midterm1practicesol.pdf\">Solutions<\/a><\/li>\n<li><a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2024\/04\/midterm2practice.pdf\">Midterm 2 Practice Problems<\/a>, <a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2024\/04\/midterm2practicesol.pdf\">Solutions<\/a><\/li>\n<li><a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2024\/04\/midterm3practice.pdf\">Midterm 3 Practice Problems<\/a>, <a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2024\/04\/midterm3practicesol.pdf\">Solutions<\/a><\/li>\n<li><a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2024\/04\/finalpractice.pdf\">Final Exam Practice Problems<\/a>, <a href=\"http:\/\/sites.rutgers.edu\/laurent-vera\/wp-content\/uploads\/sites\/808\/2025\/08\/finalpracticesol.pdf\">Solutions<\/a><\/li>\n<\/ul>\n<h4><strong>Resources by Section.<\/strong><\/h4>\n<p>&nbsp;<\/p>\n<table style=\"height: 736px;border: 1px solid black\" width=\"793\">\n<thead>\n<tr style=\"border: 1px solid black\">\n<th>Section<\/th>\n<th colspan=\"3\">Resources<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr style=\"border: 1px solid black\">\n<td width=\"55%\">2.1: Introduction to Limits<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/x9m4tsfe3j6gt3gnyaj9q4a3tp69d84j\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/shared\/static\/4fgy604sfj5ze5ae1fev4x9c34v2cmqs.pdf\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/plr9rh4m3vnsrcif9wo18qbclmpr0swz\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>Chapter 1: Precalculus Review<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/tp3fw1k6hydnz591477dqt7ewjeizvk2\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/f5xcxun9joz5fz2pzxvp39a23c9be2vd\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/vz4c80jiq498mxqg4odrsmusc9vdpwmr\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>2.2: Calculating Limits<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/053nvk3ft89titpqlrmb0g7z523qgi48\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/ur5otevgz2qqrwoc9kvoceo2bo5skto5\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/rmp8i2pn012wyiarccxcn6hwslq25syg\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>2.4: One-Sided Limits<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/4fqx0ouhr6105jn6dv3qoxnzqswzfbih\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/i3dwsjjbvaz6zkunoxvj85wqr7wcgt8q\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/yo9yd4e1ifnn5a2z29dom5hhv5aol9io\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>2.5: Continuity<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/07iw3jfye8ero5pb9xaf41uehqff6slh\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/s07vyj320atpilfoa2p0m7f0zz06uu7l\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/ygmf8sjjr3160cgsrp1aeyetv9eglvh2\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>2.6: Limits Involving Infinity<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/t5bqy8cwnwc18fwja5ulxia1ye5ipuwr\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/15rj3g582pvdagx95xg08u5itn9jxhg7\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/9s4rgkxu7nsejr4s6rz2aqhdboa7ohlr\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>3.1, 3.2: Derivatives and Tangent Lines<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/zkx6nosz2ynccwryihxqfdrdrfpb5gt4\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/n66yy3rj13t3b4f1aad3viq1per09cio\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/wfuatvqv8q91usm6xdajvgp03m4xu5vq\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>3.3, 3.5: Derivatives Rules<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/a7dad31jj22s23ypnrbtjt0xf1ad91wr\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/776ht0pqyvf08sch8el3mn030ui7vzaz\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/pl9jziplldrmue45x76nor1jath3suud\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>3.4: Rates of Change<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/ofxdaijwibbg8sqnvzi77ft6hhxz4xuk\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/im0jzs6mqscltfae9dvb4hffpod2xgt5\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/cf1vhggiqqjqw1vplxjmfwtfpb597aki\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>3.6, 3.7: Chain Rule and Implicit Differentiation<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/rsaupx5k6kf5q6kvgbpeyp3js8ond377\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/bmrc7v75ixvwsost3uqjzc9flxst9pp2\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/7k7yyxzt5c3cw2xkiqw4z2s4c2m42sl3\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>3.8, 3.9: Derivatives of Inverse Functions<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/00gz0gqqi6rmftjcge2pduc9mj14khtj\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/d0efon8jvx86mju1gfog74k5yf6eb41g\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/ed3q65mnvvgwe1c0zevqu26rcuzltg7r\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>3.10: Related Rates<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/7ssskc0tkuvtsf13h92h0mwn2m17hnz4\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/w9xdxfe65nlyaz6uttesjqjv6vurti62\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/xw0hl6fbgcj05y1ha2vn3qmghu9x1j7h\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>3.11: Linearization and Differentials<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/yonff3qyk803w30a4suo5xvv1spaqh42\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/fathgyqh8a31y6yrk9lf9ylfbw9v0zn7\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/hsvruq6bayattq9h68snrievddl9wntb\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>4.1: Extreme Values<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/twh6wlow841utd5crdg53hml18k4580j\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/rih1p3cpd9s2v9ax7epsklei12ku93bh\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/u5mcegqu74wktix5z9lhkyhdbv58idwg\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>4.2, 4.3: Mean Value Theorem and First Derivative Test<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/c8du876d27gzgtynaete3sjlnlrby0z2\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/5ehib5oq2izmf4qzy7mwidm9qg08sgkd\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/20cy9l3bl81ynib0l9dnkres4v9je7ht\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>4.4: Concavity and Curve Sketching<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/16c9u45poumrcc8comrdvix9kvdt48ug\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/klcvb4q2rb8tz6w7yphb1tcupwtxa5pt\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/w72ndjc79d4zdmtm2pf24gfrvkhwi6a0\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>4.5: L&#8217;H\u00f4pital&#8217;s Rule<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/61noswg0idxsscnx4wgx4re2od15u1xm\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/hhwfzhzj8tltqwtrvkmcxwuljdrjz36v\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/rkwlnu4zg8v8lyaef2xgg102x61en4gg\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>4.6: Optimization<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/c3oh38sa8g8fpvgy14rb3vvdllmaiyum\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/o45i2aflmlekzpab5ttfw01mkrf8eqeh\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/hclyqxzly03lczo99c1nni2ipp1v670h\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>4.8: Antiderivatives<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/yrqc6g78gmntyv2gefayr5jnh3g0vra2\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/63qnbgkxw0478uu4g0glr6vk55wycms0\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/myjnlx56csp4dyj8bxb20tnqxfccvwi5\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>5.1, 5.2: Area Estimation and Riemann Sums<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/b79nxmdzeeczkxpbq7q0d2pc1e57ei1u\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/ldmae14a3ufkklom4qx1kg40ftthzbfw\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/hxdyhmnpehb4mwp7mcswv8ay84uh2l9u\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>5.3: The Definite Integral<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/x8wu9yyqifyxdi77lrx6c8im92lsjolz\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/nnbje0vqhrohzn0kdtj0ydxex21f3d98\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/swwelxvs12u05qq08o9sc9zjcml3772q\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>5.4: Fundamental Theorem of Calculus<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/dhyzyq74d7158yxh7t6ipnud2s06q8yz\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/tic8wfvnop55m3z50sy0ukysa63fvs6v\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/0zqqjkxamrcvl2wyqb624pzsuqf4gjlt\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>5.5, 5.6: Substitution Method<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/dw1s2gmu5v0fc1pk7ltmzqyu9joae7bn\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/kw3up5q6wnzvguphwph5auqqecimkodc\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/k0ayxza0qlnfq2ymxsjzhc8nwmq0vcvc\">Solutions<\/a><\/td>\n<\/tr>\n<tr style=\"border: 1px solid black\">\n<td>5.6: Area Between Curves<\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/0rejzzw8lmmz6lkmgjqxj01dqub4e1os\">Notes<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/630j9r0rcriccnagj6cf4k66hiv0hzxs\">Worksheet<\/a><\/td>\n<td><a href=\"https:\/\/rutgers.box.com\/s\/u2nqic6j9usf8y2k5ii4iia47m1xa7hu\">Solutions<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Master Resources. All Lecture Notes All Worksheets, Solutions Previous Exams, Solutions Midterm 1 Practice Problems, Solutions Midterm 2 Practice Problems, Solutions Midterm 3 Practice Problems, Solutions Final Exam Practice Problems, &hellip; <a href=\"https:\/\/sites.rutgers.edu\/laurent-vera\/math-151\/\" class=\"\">Read More<\/a><\/p>\n","protected":false},"author":2268,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-617","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Math 151 - Laurent Vera<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sites.rutgers.edu\/laurent-vera\/math-151\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math 151 - Laurent Vera\" \/>\n<meta property=\"og:description\" content=\"Master Resources. 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