{"id":73,"date":"2019-06-10T16:18:49","date_gmt":"2019-06-10T13:18:49","guid":{"rendered":"http:\/\/localhost\/extension\/basic-mathematics\/"},"modified":"2022-03-13T15:50:42","modified_gmt":"2022-03-13T12:50:42","slug":"basic-mathematics","status":"publish","type":"page","link":"https:\/\/www.coa.sua.ac.tz\/extension\/basic-mathematics","title":{"rendered":"Basic Mathematics"},"content":{"rendered":"<p><strong>&nbsp;<\/strong><\/p>\n<ol>\n<li>&nbsp; <strong>Course Title: <\/strong><strong>MTH 102- BASIC MATHEMATICS<\/strong><\/li>\n<li><strong>Subject Status:<\/strong> Elective<a id=\"_Toc404754843\"><\/a><a id=\"_Toc401569755\"><\/a><\/li>\n<\/ol>\n<ul>\n<li><strong>Credit Rating: <\/strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 9 Credits<\/li>\n<\/ul>\n<ol>\n<li><a id=\"_Toc404754844\"><\/a><a id=\"_Toc401569756\"><\/a> <strong>Total hours spent:<\/strong> 90 hours<\/li>\n<\/ol>\n<p><strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/strong>&nbsp;Lectures&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 40 hrs<a id=\"_Toc404754845\"><\/a><a id=\"_Toc401569757\"><\/a><\/p>\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Tutorials&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 20 hrs<a id=\"_Toc401569758\"><\/a><a id=\"_Toc404754846\"><\/a><a id=\"_Toc401569760\"><\/a><\/p>\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Practical&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0 hrs<a id=\"_Toc404754847\"><\/a><\/p>\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Assignments&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 10&nbsp; hrs<a id=\"_Toc404754848\"><\/a><a id=\"_Toc401569759\"><\/a><\/p>\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Independent Study&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 20 hrs&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n<p><strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Prerequisites: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <\/strong>None<\/p>\n<p><strong>&nbsp;<\/strong><\/p>\n<ol>\n<li><strong>Course Expected Learning Outcomes:<\/strong><a id=\"_Toc404754849\"><\/a><\/li>\n<\/ol>\n<p>By the end of the course students should be able to:<a id=\"_Toc404754850\"><\/a><\/p>\n<ul>\n<li>use vector algebra<a id=\"_Toc404754851\"><\/a><\/li>\n<li>use matrix algebra<a id=\"_Toc404754852\"><\/a><\/li>\n<li>solve calculus of one variable<a id=\"_Toc404754853\"><\/a><\/li>\n<li>solve ordinary differential equation<a id=\"_Toc404754854\"><\/a><\/li>\n<li>use Laplace Transforms<\/li>\n<\/ul>\n<p><strong>&nbsp;<\/strong><\/p>\n<ol>\n<li><a id=\"_Toc404754855\"><\/a> <strong>Course Contents:<\/strong><\/li>\n<\/ol>\n<p>Algebra:&nbsp; Indices and logarithms; simultaneous equations; quadratic equations; coordinate geometry of a straight line; Applications of the straight line law to experimental data. Vector algebra. Trigonometry: Trigonometric formulas and equations. Matrices and determinants: operations on matrices; inverse of a matrix and properties of determinants. Systems of linear equations \u2013 Gaussian elimination method, Cramer\u2019s rule.<\/p>\n<p>Calculus: Functions \u2013 including polynomial, trigonometric, exponential, logarithmic functions. General idea of limits and continuity. Differentiation \u2013 properties of derivatives. Techniques of differentiation including implicit and logarithmic.Application of differentiation \u2013 e.g. tangents and normals, rates of change, approximations, maxima and minima. Integration \u2013 anti-derivatives (indefinite integrals). The definite integral.Techniques of integration. Applications of integration \u2013 including areas, volumes, arc lengths.<\/p>\n<p>First order differential equations: solutions of some first order differential equations-namely: separable variables type, those reducible to separable variables type, linear differential equations, exact types.<\/p>\n<p>Application of first order differential equations to practical problems, e.g. Chemical reactions problems, carbon dating, exponential decay problems, emission and pollution problems.<\/p>\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n<ul>\n<li><strong>Reading List:<\/strong><\/li>\n<\/ul>\n<p>Bondi, C. (ed.). (1991). <em>New Applications of Mathematics<\/em>. Penguin. New York<\/p>\n<p>Courant, R., Robbins, H. and Stewart, I. (1996). <em>What is Mathematics<\/em> (2<sup>nd<\/sup>ed.). OUP. New York.<\/p>\n<p>Gardner, M. (2004). <em>The Colossal Book of Mathematics<\/em>. Norton. New York\/ London.<\/p>\n<p><a href=\"http:\/\/www.cambridge.org\/us\/academic\/subjects\/mathematics\/real-and-complex-analysis\/calculus-ambitious#bookPeople\">K\u00f6rner<\/a>, T. W. (2014). <em>Calculus of the Ambitious<\/em>. CUP. London.<\/p>\n<p>Terence, T. (2006). <em>Solving Mathematical Problems<\/em>. OUP. New York.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; &nbsp; Course Title: MTH 102- BASIC MATHEMATICS Subject Status: Elective Credit Rating: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 9 Credits Total hours spent: 90 hours &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Lectures&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 40 hrs &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Tutorials&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 20 hrs &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Practical&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0 hrs &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Assignments&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 10&nbsp; hrs &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Independent Study&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 20 hrs&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Prerequisites: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; None &nbsp; Course Expected Learning Outcomes: By the end of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":55,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-73","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.coa.sua.ac.tz\/extension\/wp-json\/wp\/v2\/pages\/73","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.coa.sua.ac.tz\/extension\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.coa.sua.ac.tz\/extension\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.coa.sua.ac.tz\/extension\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.coa.sua.ac.tz\/extension\/wp-json\/wp\/v2\/comments?post=73"}],"version-history":[{"count":1,"href":"https:\/\/www.coa.sua.ac.tz\/extension\/wp-json\/wp\/v2\/pages\/73\/revisions"}],"predecessor-version":[{"id":369,"href":"https:\/\/www.coa.sua.ac.tz\/extension\/wp-json\/wp\/v2\/pages\/73\/revisions\/369"}],"wp:attachment":[{"href":"https:\/\/www.coa.sua.ac.tz\/extension\/wp-json\/wp\/v2\/media?parent=73"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}