This book covers a quick introduction to high school mathematics, arithmetic and geometric series, infinite geometric series, mathematical induction, binomial theorem, factorials, permutations and combinations, determinants, systems of linear equations, boolean algebra, orthogonal functions, Legendre, Hermite, and Laguerre polynomials and orthogonal properties. For example, mathematical induction is a proof based on logical assumptions of equations that involve integers of one number that shows the proof for the next number. It is based on the base step and the inductive step. The base step is to prove the integers based on a formula. The inductive step involves statement of one integer number that shows the proof of the statement for the next integer. The determinant is a scalar and it is found by multiplying the two elements of the principal diagonal and subtracting them from the multiplication of the elements of the other diagonal.
{"title":"Introduction to Discrete Mathematics and Fourier Analysis. A Practical Guide for third Year Undergraduate Students.","authors":"Michel Guirguis","doi":"10.2139/ssrn.3312030","DOIUrl":"https://doi.org/10.2139/ssrn.3312030","url":null,"abstract":"This book covers a quick introduction to high school mathematics, arithmetic and geometric series, infinite geometric series, mathematical induction, binomial theorem, factorials, permutations and combinations, determinants, systems of linear equations, boolean algebra, orthogonal functions, Legendre, Hermite, and Laguerre polynomials and orthogonal properties. For example, mathematical induction is a proof based on logical assumptions of equations that involve integers of one number that shows the proof for the next number. It is based on the base step and the inductive step. The base step is to prove the integers based on a formula. The inductive step involves statement of one integer number that shows the proof of the statement for the next integer. The determinant is a scalar and it is found by multiplying the two elements of the principal diagonal and subtracting them from the multiplication of the elements of the other diagonal.","PeriodicalId":396981,"journal":{"name":"Space & Planetary Science Educator: Courses","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129194356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The Philippines has just recently shifted from a 10-year basic education to 12 years of basic education known as the K to 12 Program. In this new curriculum, students get to choose a track of their interest in the Senior High School (SHS) and one of these is the Academic Track with the Science, Technology, Engineering and Mathematics (STEM) strand. In the first two years of implementation of the said program, STEM has recorded a significantly low enrollment. This was the main problem of this study. This study looked at the interest of the students in Mathematics and Science and correlated with their interest in pursuing the STEM strand. The descriptive correlational research was employed with the use of survey questionnaire. Data obtained was interpreted using the weighted mean, sum of ranks, and Pearson-r correlation coefficient. Results revealed that the respondents were interested in the subjects Mathematics and Science. They were confident in their scientific ability but only slightly confident in mathematical abilities. There was a significant, moderately high relationship between the interest of the respondents in Mathematics and Science and in their confidence level in Mathematics and Science. The very high relationships between the interest and confidence in Mathematics, and interest and confidence in Science were also significant. Teacher influence registered to be the most important factor affecting their interest in Mathematics and Science while Family influence affects their confidence. The respondents also showed interest in the STEM strand. Lastly, the relationship between their interest and confidence in Mathematics and Science and their interest in pursuing the STEM strand was moderately high and significant.
菲律宾最近刚刚从10年的基础教育转变为12年的基础教育，即K - to - 12计划。在这个新课程中，学生可以在高中(SHS)中选择他们感兴趣的课程，其中之一是科学、技术、工程和数学(STEM)学科的学术课程。在实施上述计划的头两年，STEM的入学率明显较低。这是本研究的主要问题。这项研究考察了学生对数学和科学的兴趣，以及他们对追求STEM领域的兴趣。采用描述性相关研究，采用问卷调查法。所得数据采用加权平均值、秩和和Pearson-r相关系数进行解释。结果显示，受访者对数学和科学科目感兴趣。他们对自己的科学能力很有信心，但对数学能力只有一点点信心。被调查者对数学和科学的兴趣与他们对数学和科学的信心水平之间存在显著的、中等高度的关系。对数学的兴趣和信心与对科学的兴趣和信心之间的高度关系也很显著。教师的影响是影响学生对数学和科学兴趣的最重要因素，而家庭的影响则影响学生对数学和科学的信心。受访者也对STEM领域表现出了兴趣。最后，他们对数学和科学的兴趣和信心与他们对追求STEM链的兴趣之间的关系中等且显著。
{"title":"Interest and Confidence in Mathematics and Science: Precursors in Choosing the STEM Strand","authors":"Aiza Dumapias, Victor T. Tabuzo","doi":"10.2139/ssrn.3359091","DOIUrl":"https://doi.org/10.2139/ssrn.3359091","url":null,"abstract":"The Philippines has just recently shifted from a 10-year basic education to 12 years of basic education known as the K to 12 Program. In this new curriculum, students get to choose a track of their interest in the Senior High School (SHS) and one of these is the Academic Track with the Science, Technology, Engineering and Mathematics (STEM) strand. In the first two years of implementation of the said program, STEM has recorded a significantly low enrollment. This was the main problem of this study. This study looked at the interest of the students in Mathematics and Science and correlated with their interest in pursuing the STEM strand. The descriptive correlational research was employed with the use of survey questionnaire. Data obtained was interpreted using the weighted mean, sum of ranks, and Pearson-r correlation coefficient. Results revealed that the respondents were interested in the subjects Mathematics and Science. They were confident in their scientific ability but only slightly confident in mathematical abilities. There was a significant, moderately high relationship between the interest of the respondents in Mathematics and Science and in their confidence level in Mathematics and Science. The very high relationships between the interest and confidence in Mathematics, and interest and confidence in Science were also significant. Teacher influence registered to be the most important factor affecting their interest in Mathematics and Science while Family influence affects their confidence. The respondents also showed interest in the STEM strand. Lastly, the relationship between their interest and confidence in Mathematics and Science and their interest in pursuing the STEM strand was moderately high and significant.","PeriodicalId":396981,"journal":{"name":"Space & Planetary Science Educator: Courses","volume":"283 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132568258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This case focuses on a fictional company's satellite launch vehicle decision. The basis analysis requires the student to construct a decision tree using discrete probabilities. Further analysis can include the value of information and the value of control. The scope of the deicision can include Monte Carlo simulation once continuous probabilities are added to the base case. This case has been used as a quiz.
{"title":"New Space Technologies, Inc. (A)","authors":"D. Clyman, R. Davis","doi":"10.2139/ssrn.1584539","DOIUrl":"https://doi.org/10.2139/ssrn.1584539","url":null,"abstract":"This case focuses on a fictional company's satellite launch vehicle decision. The basis analysis requires the student to construct a decision tree using discrete probabilities. Further analysis can include the value of information and the value of control. The scope of the deicision can include Monte Carlo simulation once continuous probabilities are added to the base case. This case has been used as a quiz.","PeriodicalId":396981,"journal":{"name":"Space & Planetary Science Educator: Courses","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124296311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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