{"id":1848,"date":"2013-07-04T09:41:55","date_gmt":"2013-07-04T02:41:55","guid":{"rendered":"http:\/\/science-technology.vn\/?p=1848"},"modified":"2013-07-04T09:41:55","modified_gmt":"2013-07-04T02:41:55","slug":"phan-mem-va-toan-hoc","status":"publish","type":"post","link":"https:\/\/science-technology.vn\/?p=1848","title":{"rendered":"Ph\u1ea7n m\u1ec1m v\u00e0 to\u00e1n h\u1ecdc"},"content":{"rendered":"

M\u1ed9t sinh vi\u00ean vi\u1ebft cho t\u00f4i: \u201cL\u00e0 sinh vi\u00ean n\u0103m th\u1ee9 nh\u1ea5t v\u1ec1 k\u0129 ngh\u1ec7 ph\u1ea7n m\u1ec1m em lo l\u1eafng v\u00ec em kh\u00f4ng gi\u1ecfi to\u00e1n. M\u1ed9t s\u1ed1 ng\u01b0\u1eddi b\u1ea3o em r\u1eb1ng em ph\u1ea3i bi\u1ebft nhi\u1ec1u v\u1ec1 to\u00e1n \u0111\u1ec3 h\u1ecdc k\u0129 ngh\u1ec7 ph\u1ea7n m\u1ec1m nh\u01b0ng m\u1ed9t gi\u00e1o s\u01b0 \u1edf tr\u01b0\u1eddng em n\u00f3i r\u1eb1ng \u0111i\u1ec1u \u0111\u00f3 kh\u00f4ng \u0111\u00fang. Em v\u1eabn c\u00f2n lo v\u00e0 l\u1eabn l\u1ed9n. Xin th\u1ea7y l\u1eddi khuy\u00ean.\u201d<\/span><\/p>\n

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\u0110\u00e1p: To\u00e1n h\u1ecdc l\u00e0 quan tr\u1ecdng trong vi\u1ec7c gi\u00fap b\u1ea1n ngh\u0129 m\u1ed9t c\u00e1ch logic \u0111\u1ec3 cho b\u1ea1n c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft \u0111\u01b0\u1ee3c v\u1ea5n \u0111\u1ec1. B\u1ea1n c\u1ea7n bi\u1ebft to\u00e1n h\u1ecdc m\u1ee9c n\u00e0o \u0111\u00f3 \u0111\u1ec3 h\u1ecdc khoa h\u1ecdc, b\u1ea5t k\u00ec khoa h\u1ecdc n\u00e0o kh\u00f4ng ch\u1ec9 k\u0129 ngh\u1ec7 ph\u1ea7n m\u1ec1m. To\u00e1n h\u1ecdc \u0111\u01b0\u1ee3c c\u1ea7n t\u1edbi trong \u0111i\u1ec7n t\u1eed, k\u0129 ngh\u1ec7 d\u00e2n s\u1ef1, ho\u00e1 h\u1ecdc v\u00e0 v\u1eadt l\u00ed n\u1eefa. T\u00f4i ch\u1eafc r\u1eb1ng b\u1ea1n bi\u1ebft s\u1ed1 h\u1ecdc, \u0111\u1ea1i s\u1ed1, \u0111\u1ea1i s\u1ed1 tuy\u1ebfn t\u00ednh v\u00e0 t\u00ednh to\u00e1n v\u00ec nh\u1eefng m\u00f4n n\u00e0y \u0111\u01b0\u1ee3c d\u1ea1y \u1edf tr\u01b0\u1eddng ph\u1ed5 th\u00f4ng. B\u1ea1n c\u00f3 th\u1ec3 c\u1ea7n bi\u1ebft m\u1ed9t s\u1ed1 c\u0103n b\u1ea3n v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh vi ph\u00e2n, x\u00e1c su\u1ea5t, th\u1ed1ng k\u00ea, gi\u1ea3i t\u00edch s\u1ed1 v\u00e0 to\u00e1n h\u1ecdc r\u1eddi r\u1ea1c v\u00ec ch\u00fang s\u1ebd gi\u00fap cho b\u1ea1n \u0111i s\u00e2u trong ngh\u1ec1 nghi\u1ec7p c\u1ee7a b\u1ea1n, \u0111\u1eb7c bi\u1ec7t n\u1ebfu b\u1ea1n mu\u1ed1n theo \u0111u\u1ed5i b\u1eb1ng c\u1ea5p chuy\u00ean s\u00e2u (th\u1ea1c s\u0129 hay ti\u1ebfn s\u0129). Nhi\u1ec1u sinh vi\u00ean s\u1ee3 to\u00e1n v\u00ec h\u1ecd c\u00f3 th\u1ec3 thi\u1ebfu n\u1ec1n t\u1ea3ng c\u01a1 s\u1edf. N\u1ebfu b\u1ea1n d\u00e0nh th\u1eddi gian \u00f4n t\u1eadp l\u1ea1i nh\u1eefng kh\u00e1i ni\u1ec7m c\u01a1 s\u1edf v\u00e0 l\u00e0m b\u00e0i t\u1eadp to\u00e1n h\u1ecdc th\u00ec b\u1ea1n s\u1ebd th\u1ea5y r\u1eb1ng n\u00f3 kh\u00f4ng kh\u00f3. Cho d\u00f9 b\u1ea1n c\u1ea7n hi\u1ec3u m\u1ed9t s\u1ed1 kh\u00e1i ni\u1ec7m to\u00e1n h\u1ecdc n\u00e0o \u0111\u00f3 nh\u01b0ng b\u1ea1n kh\u00f4ng c\u1ea7n ph\u1ea3i xu\u1ea5t s\u1eafc v\u1ec1 to\u00e1n \u0111\u1ec3 h\u1ecdc k\u0129 ngh\u1ec7 ph\u1ea7n m\u1ec1m.<\/p>\n

Trong th\u1ef1c t\u1ebf, khi t\u00f4i c\u00f2n tr\u1ebb, t\u00f4i s\u1ee3 to\u00e1n c\u00f2n h\u01a1n s\u1ee3 ma. T\u00f4i h\u1ecdc r\u1ea5t k\u00e9m trong m\u1ecdi l\u1edbp to\u00e1n t\u1eeb ph\u1ed5 th\u00f4ng c\u01a1 s\u1edf cho t\u1edbi trung h\u1ecdc. M\u1ecdi l\u00fac t\u00f4i th\u1ea5y con s\u1ed1 t\u00f4i \u0111\u1ec1u b\u1ecb \u0111au \u0111\u1ea7u. Khi t\u00f4i v\u00e0o l\u1edbp, m\u1ed9t c\u00f4 gi\u00e1o hi\u1ec3u n\u1ed7i s\u1ee3 c\u1ee7a t\u00f4i v\u00e0 s\u1eb5n l\u00f2ng gi\u00fap t\u00f4i. C\u00f4 \u1ea5y b\u1ea3o t\u00f4i: \u201cL\u00ed do em kh\u00f4ng th\u00edch to\u00e1n v\u00ec em kh\u00f4ng c\u00f3 \u0111\u1ee7 t\u1ef1 tin. V\u1ea5n \u0111\u1ec1 c\u00f3 l\u1ebd l\u00e0 v\u00ec em n\u00e9 tr\u00e1nh to\u00e1n \u1edf c\u00e1c l\u1edbp d\u01b0\u1edbi hay \u0111\u00e3 kh\u00f4ng h\u1ecdc \u0111\u1ee7 c\u01a1 s\u1edf cho t\u1ed1t cho n\u00ean em m\u1ea5t kh\u1ea3 n\u0103ng x\u00e2y d\u1ef1ng k\u0129 n\u0103ng to\u00e1n h\u1ecdc. \u0110i\u1ec1u em c\u1ea7n l\u00e0 x\u00e2y d\u1ef1ng l\u1ea1i c\u01a1 s\u1edf r\u1ed3i em s\u1ebd h\u1ecdc t\u1ed1t.\u201d M\u1ed7i ng\u00e0y, c\u00f4 l\u1ea1i cho t\u00f4i m\u01b0\u1eddi b\u00e0i t\u1eadp ng\u1eafn m\u00e0 t\u00f4i ph\u1ea3i ho\u00e0n th\u00e0nh tr\u01b0\u1edbc khi r\u1eddi kh\u1ecfi tr\u01b0\u1eddng. Ph\u1ea7n l\u1edbn ch\u00fang \u0111\u1ec1u l\u00e0 to\u00e1n h\u1ecdc c\u01a1 s\u1edf m\u00e0 t\u00f4i \u0111\u00e3 kh\u00f4ng h\u1ecdc t\u1ed1t tr\u01b0\u1edbc \u0111\u00e2y. Trong v\u00e0i th\u00e1ng, t\u00f4i \u0111\u00e3 c\u1ea3i ti\u1ebfn v\u00e0 \u0111\u00e3 c\u00f3 kh\u1ea3 n\u0103ng theo k\u1ecbp c\u00e1c h\u1ecdc sinh kh\u00e1c trong tr\u01b0\u1eddng. M\u1eb7c d\u00f9 n\u0103m m\u01b0\u01a1i n\u0103m \u0111\u00e3 tr\u00f4i qua r\u1ed3i, t\u00f4i v\u1eabn c\u00f2n nh\u1edb nh\u01b0 in l\u1eddi khuy\u00ean qu\u00ed gi\u00e1 c\u1ee7a c\u00f4.<\/p>\n

K\u0129 ngh\u1ec7 ph\u1ea7n m\u1ec1m v\u00e0 to\u00e1n h\u1ecdc l\u00e0 kh\u00f4ng kh\u00f3, n\u00f3 y\u00eau c\u1ea7u quy\u1ebft t\u00e2m v\u00e0 th\u1ef1c h\u00e0nh. Ch\u1eebng n\u00e0o b\u1ea1n s\u1eb5n l\u00f2ng d\u00e0nh th\u1eddi gian cho h\u1ecdc t\u1eadp, d\u00e0nh th\u1eddi gian \u0111\u1ec3 l\u00e0m b\u00e0i t\u1eadp, b\u1ea1n s\u1ebd h\u1ecdc t\u1ed1t.<\/p>\n

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—-English version—-<\/p>\n

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Software and Mathematic\u200bs<\/p>\n

A student wrote to me: \u201cAs a first year student in software engineering I am worry because I am not good in mathematics. Some people told me that I must know a lot of mathematics to study software engineering but a professor in my school said that it is not correct. I am still worry and confused. Please advise.\u201d<\/p>\n

Answer: \u201cMathematics is important in helping you to think logically so you can solve problems. You need to know some mathematics to study science, any science not just software engineering. Math is needed in electronics, civil engineering, chemistry, and physics too. I am sure that you know Arithmetic, Algebra, Linear Algebra, and Calculus because these are taught in high school. You may need to know some basics of Differential\u00a0 Equations, Probability, Statistics, Numerical analysis, and Discrete Mathematics as they will help you to advance your career, especially if you want to pursue advanced degrees (Master or PhD). Many students afraid of mathematics because they may lack the basic foundations. If you spend time to review some basic concepts and do some math exercises then you will find that it is not difficult. Even you do need to understand some math concepts but you do not have to be excellent at math to study software engineering.<\/p>\n

As a matter of fact, when I was young, I was afraid of math more than afraid of ghost. I did very poorly in all of my math classes from elementary to high school. Every time I saw numbers then I had a headache. When I was in 9th grade, a teacher understood my fear and willing to help me. She told me: \u201cThe reason you do not like math because you do not have enough confidence. The problem is probably you avoid math in lower grades or did not learn enough basics well so you lost the ability to build up your math skills. What you need is to rebuild your basics then you will do well.\u201d Each day, she gave me ten short exercises that I must finish before leaving school. Most are the basics math that I did not learn well previously. Within few months, I improved and was able to catch up with other students in school. Even fifty years later, I still remember her precious advice.<\/p>\n

Software engineering and mathematics are not difficult, it requires commitment and practices. As long as you are willing to spend time to study, spend time to do exercises, spend time to practice, you will do well.<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

M\u1ed9t sinh vi\u00ean vi\u1ebft cho t\u00f4i: \u201cL\u00e0 sinh vi\u00ean n\u0103m th\u1ee9 nh\u1ea5t v\u1ec1 k\u0129 ngh\u1ec7 ph\u1ea7n m\u1ec1m em lo l\u1eafng v\u00ec em kh\u00f4ng gi\u1ecfi to\u00e1n. … <\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18],"tags":[],"class_list":["post-1848","post","type-post","status-publish","format-standard","hentry","category-loi-khuyen-cho-sinh-vien"],"_links":{"self":[{"href":"https:\/\/science-technology.vn\/index.php?rest_route=\/wp\/v2\/posts\/1848","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/science-technology.vn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-technology.vn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-technology.vn\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/science-technology.vn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1848"}],"version-history":[{"count":1,"href":"https:\/\/science-technology.vn\/index.php?rest_route=\/wp\/v2\/posts\/1848\/revisions"}],"predecessor-version":[{"id":1849,"href":"https:\/\/science-technology.vn\/index.php?rest_route=\/wp\/v2\/posts\/1848\/revisions\/1849"}],"wp:attachment":[{"href":"https:\/\/science-technology.vn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1848"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-technology.vn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1848"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-technology.vn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1848"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}