cor_matr = cor(data1) (Instructor may substitute Chapter 12: One-Way Analysis of Variance. Same asStatistics and Data Sciences 378. The following course outline refers to section numbers in Ross' book and assumes a MWF lecture format (it must be modified for TTh classes). The students should learn some linear algebra - for most of them, this will be the only college linear algebra course they take. Delete the names matching the given patterns from the symbol table. Market-making and bond-pricing. Property Manager 3. Material to be covered: Chapters 1, 2, 3, and if time permits some topics in Chapters 4 and 5. Text: Marsden & Tromba, Vector Calculus 5th edition. Risk-neutral probability. Offered every spring semester only. , pca 2d plot5Error in data.frame(PCA1 = pcaPredict[, 1], PCA2 = pcaPredict[, 2], group = group) : : 17808, 554, https://blog.csdn.net/weixin_43949246/article/details/103636550. M 305G Preparation for Calculus Syllabus. So, #/customkey/name will throw an exception. EViews COM Automation Client Support (MATLAB, R, Python) Pool Mean Group (PMG) Estimation Table and Text Objects. Residual Plots (again) in the context of Multiple Regression, Overall F-test and Individual t-tests. id.. approach mathematical problems with curiosity and creativity and persist in the face of difficulties. The entire chapter should be covered. geneFC, Dmeng94: Chapter 0 An Introduction to the Texas Instruments BA II Plus (Optional), Chapter 2 Equations of Value and Yield Rates (4 days), Chapter 3 Annuities (Annuities Certain) (8.5 days), Chapter 4 Annuities with Different Payment and Conversion Periods (1 day), Chapter 7 Stocks and Financial Markets (0.5 days), Chapter 8 Arbitrage, Term Structure of Interest Rates, and Derivatives (3 - 5 days), Chapter 9 Interest Rate Sensitivity (4.5 - 6 days), Chapter 10 Determinants of Interest Rates, Responsible party: Jennifer Austin, Milica Cudina, Shinko Harper, Joel Nibert, Alisa Walch, Summer 2020. Options onfuturescontracts. They allow for review and examinations. Text: Robert L. McDonald, Derivative Markets, 2nd Edition (2015) Prentice Hall, ISBN 9780321280305, Responsible party:Milica Cudina March 2015, Description of the Course: This course is intended to provide the mathematical foundations necessary to prepare for a portion of, (1) the joint SOA/CAS exam FM/2, as well as. The Ornstein-Uhlenbeck process. Hedgingusing put options. If the array has more values than the number of columns, MATLAB ignores the excess values. Black-Scholes PDE. Students are expected to learn definitions and write proofs in class, homework, tests, and exam. Select a cell in the column you want to sort. Specify relative alignments for bar plot layout. ComplexeHeatmapComplexHeatmap Complete Reference plots). Texts: Abramson, Algebra and Trigonometry, ISBN 978-1-947172-10-4 (Units 1-3) and Abramson, Precalculus, ISBN 978-1-947172-06-7 (Unit 4) Responsible party: Amanda Hager, December 2017 Prerequisite and degree relevance: An appropriate score on the mathematics placement exam.Mathematics 305G and any college-level Prerequisite and degree relevance: Mathematics 408D, 308L, 408L, or 408S with a grade of at least C-. ready . Uses the backend specified by the However, amusing examples of unnatural algebraic systems that may or may not be vector spaces should be avoided. Standing assumptions. Mathematics 427Jand427Kmay not both be counted. SchemaURL. Examples should include cases where more than one estimator is possible. Rename all of the variables by using the renamevars function. columns to plot on secondary y-axis. Perform automatic X value sorting of data in line or line-symbol plots without having to sort the worksheet columns. Color Conversion. To use it, set the format to html or bbcode and set the wysiwyg option to true: You can configure SCEditor by setting configuration options in JSONEditor.plugins.sceditor. Law of Large Numbers. There are also many "projects" on the departmental computers that students can learn from. DataFrame. There is no way to specify property ordering in JSON Schema (although this may change in v5 of the spec). WebBrowse our listings to find jobs in Germany for expats, including jobs for English speakers or those in your native language. WebMulti-Color Parallel Categories Diagram. filtering, pulling from multiple sources, constant values primary_color possible_colors , enumSource , enumSource JSON Editor uses resolver functions to determine which editor interface to use for a particular schema or subschema. labels with (right) in the legend. Prime numbers and unique factorization. tabs , . 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Requirements include: Math: MATH 1110 - Calculus I MATH 1120 - Calculus II or MATH 1220 - Theoretical Calculus II MATH 2210 - Linear Algebra or MATH 1910 - Calculus for Engineers MATH 1920 - Multivariable Calculus for Engineers MATH 2940 - Linear Algebra for Engineers Two semesters of introductory computer programming:. transition from algorithmic and computational mathematics to actually producing and creating mathematics. Market making and hedging. Combinations of category rectangles across dimensions are connected by ribbons, where the height of the ribbon corresponds to the relative frequency of occurrence of the combination of categories in the data set. Prerequisite and degree relevance:Either consent oftheUndergraduate Mathematics Faculty Advisor or two of the following courses with a grade of at least C- in each:Mathematics 325KorPhilosophy 313K,Mathematics 328K,Mathematics 341. An item with an empty label will not be shown in the menu. It does not matter which optional sections you cover. Differentiation: the definition and geometric significance of the derivative; differentiation rules; the Mean Value Theorem and its consequences; Taylor's Theorem; L'Hospital's rules; convexity. Prerequisite and degree relevance:Mathematics 378Kwith a grade of at least C- or consent of instructor. We've encountered a problem, please try again. Binomialpricingofoptionsonfuturescontracts. Each section is designed to be covered in a single 50-minute lecture. Bullspreads. Description of the Course: M 339V = M 389V Actuarial Contingent Payments II. table_attach_columns: Attaches [appends] additional columns to a previously existing two-dimensional array. The following example code snippet adds up/down arrow icons to table columns that help sort records by asc/desc order. If the enum property is specified, format will be ignored. WebRearranges an array in a manner similar to Matlab's fftshift function. The number of topics should be kept modest to allow adequate time to concentrate on developing the students' theorem-proving skills. Replicating portfolios. All analysis operations on graph will take into account the entire dataset. Prerequisite and degree relevance:Either consent of theUndergraduate Mathematics Faculty Advisor or two of the following courses with a grade of at least C- in each:Mathematics 325KorPhilosophy 313K,Mathematics 328K,Mathematics 341. The core material must be covered in selected sections from Chapters 1, 2, 3, 5, 10. WebS = orderfields(S1,P) matches the order specified by the permutation vector P.. This can be overridden either by passing in a specific list of columns to dimensions or by setting dimensions_max_cardinality to something other than 50. The table must have the same number of rows as A. Note that a well-designed casestudy will likely occupy 1-2 class days, and canbe continued in an associated homework assignment. The number of topics required for coverage in each course has been kept modest so as to allow adequate time for students to develop theorem-proving skills. All potential graduate students will take M 373K, where it is possible to expect more and to do more. Option elasticity. Students are further expected to identify steps in the modeling process, understand the underlying assumptions implicit in each family of models, recognize which assumptions are applicable in a given business application, and appropriately adjust the models for the impact of insurance coverage modifications. Explain fundamental principles of human learning and their application in the development of intellectual skills.2. Moreover, students will be expected to have somefamiliarity with the software package Matlab. Prerequisite and degree relevance:Mathematics 348with a grade of at least C-. 2. It consists of three default tabs: 1. Primality testing and factorization methods. Simple Regression. Course description:Introduction to mathematical properties of numerical methods and their applications in computational science and engineering. Colors ColorOrder Matrix [ 0 0.4470 0.7410 0.8500 0.3250 0.0980 0.9290 0.6940 0.1250 0.4940 0.1840 0.5560 0.4660 0.6740 0.1880 0.3010 0.7450 0.9330 0.6350 0.0780 0.1840] MATLAB uses it to assign a SeriesIndex value to each new object. A value of false makes the cells in that column uneditable. x-column name for planar plots. . Notes containing definitions, theorem statements, and examples have been developed for this course and are available. Realistically, at least Sections 5.1 and 5.2 should be covered. 9 Differential Equations (optional -- not in special UT version of the book), Ch. Most of the time is devoted to first and second-order ordinary differential equations with an introduction to Fourier series and partial differential equations at the end. The number of class days listed below is for astandard MWF schedule. In any case, below are some reasonable choices of topics. Prerequisite and degree relevance:Mathematics 373Kwith a grade of at least C-. secondary_y bool or sequence, default False Whether to plot on the secondary y-axis if a list/tuple, which columns to plot on secondary y-axis. Activate your 30 day free trialto continue reading. This course is generally viewed (along with 365C) as the most difficult of the required courses for a mathematics degree. Students will not merely watch the instructor present correct, completed mathematics and imitate with superficial understanding. The authors, intending the students to take full advantage of technology, have made no effort to make problems come out neatly. This example extends the previous example to support brushing with multiple colors. JSON Editor html5, : http://jeremydorn.com/json-editor/, JSON Editor chrome firefox , JSON Editorwiki, *Note ajax true JSON Editor URL, API WebIn MATLAB, you can create tables and assign data to them in several ways. name from matplotlib. This table lists the default colors. Control variate method. You will probably have time for about half a dozen of these supplementary topics and applications. allVars = 1:width (T); newNames = append ( "Reading" ,string (allVars)); T = renamevars (T,allVars,newNames) ARDL Estimation. Colormap to select colors from. Here's an example showing both: Local references must point to the definitions object of the root node of the schema. Step 1) Create an additional column that is associated to the month. Cover all sections but again move reasonably to have enough time for Chapters 4 and 5. This isnotan exam-prep seminar. install.packages(ggthemes) will be plotted in additional subplots (one per column). rings and properties of fields. Those students whose performance in M 311 or M 341 is average should take M 343K before taking M 373K. Arbitrage andforwardspricing. Speak, present, and write clearly and cogently. ), (Optional: Chapter 12 General Rules of Probability), (Optional: Chapter 13 Binomial Distributions), Chapter 14 Confidence Intervals: The Basics, Chapter 15 Tests of Significance: The Basics, Chapter 16 Inference in Practice (more focus on Power and less on Type II error), Chapter 17 From Exploration to Inference: Part II Review (May be assigned as reading. Today we'll be diving into visualization and to invisible; defaults to True if ax is None otherwise False if The syllabus covers the essentials of all seven chapters of Lay, namely. Suggested Textbook:A First Course in Probability, Eighth Edition, by Sheldon Ross. Price curve prior to expiration. In conjunction with M 349P, M 339J covers the content of SOA Exam C. Students are expected to be familiar with survival, severity, frequency, and aggregate models, and use statistical methods to estimate parameters of such models given sample data. table . The parallel categories diagram (also known as parallel sets or alluvial diagram) is a visualization of multi-dimensional categorical data sets. Example: ax.XLim = [0 10] Example: ax.YLim = [-inf 10] Deprecated since version 1.5.0: The sort_columns arguments is deprecated and will be removed in a future version. G = graph(A,NodeTable) specifies node names (and possibly other node attributes) using a table, NodeTable. Scaled random walk. Translate. Cardinality: 1-1 correspondence, countability, and uncountability. True, print each item in the list above the corresponding subplot. The variables share a common x -axis. In teaching abstraction, it is critical to remember that almost no students are capable of becoming truly comfortable with it in a single semester; it is self-defeating to establish this as a goal. The relative heights of the rectangles reflect the relative frequency of occurrence of the corresponding value. Prerequisite and degree relevance:Actuarial Foundations 329orMathematics 329F, andMathematics 339Uwith a grade of at least C- in each. The Least Squares estimator. Multi-Color Parallel Categories Diagram. Row names of a table label the rows along the first dimension of the table. {{variable}} Estimation MLE and Method of Moments (MoM). Set up Banding with custom colors and export as image. Constructions in Euclidean Geometry and Constructibility of NumbersIII. The links keyword from the hyper-schema specification can be used to add links to related documents. Default is 0.5 Reviewoffinite probability spaces. M 302 Introduction to Mathematics Syllabus, M 408C Differential and Integral Calculus Syllabus, M 408D Sequences, Series, and Multivariable Calculus Syllabus. There is intellectual merit to the course beyond the ability to prepare for a professional exam. Option priceconvexity. Computers:Linear algebra lends itself extremely well to computerization, and there are many packages that students can use. WebStart picking a new set of data points. You can add a resolver function to use this custom editor when appropriate. On the Data tab, in the Sort & Filter group, do one of the following: To quick sort in ascending order, click ( Sort A to Z ). WebMATLAB: How to reorder a matlab table based on a portion of variables name. They will work with schemas of type integer and number as well, but some formats may produce weird results. The remainder of the Exam MFE/3F curriculum is exhibited in course M339W (also offered by the Department of Mathematics). Black-Scholes pricing and exotic options. Texts:Edward Wallace and Stephen West's "Roads to Geometry" (3rd Ed, with corrections) Waveland Press, 2015 orSTRUCTURE OF MODERN GEOMETRYSTRUCTURE OF MODERN GEOMETRY: A DISCOVERY APPROACH by Mark Daniels. & Stochastic integral ("definition", obstacles). project-reorder doesn't rename or remove columns from the table, therefore, all columns that existed in the source table, appear in the result table. Additionally, the course is aimed at building up the vocabulary and the techniques indispensable in the workplace at current financial and insurance institutions. Examples involving max and min are probably the easiest to do. Sort index, returned as a vector, matrix, or multidimensional array. Prerequisite and degree relevance: Mathematics 408D, 408L, or 408S with a grade of at least C-and written consent of instructor. This is a hands-on experience in what it is like to teach and support students in the learning of mathematics in undergraduate courses. Textbook: Actuarial Mathematics for Life Contingent Risks, 2nd Edition (2013) David C. Dickson, Mary R. Hardy, and Howard R. Waters, Cambridge University Press, ISBN 9781107044074, Chapter 1 Introduction to life insurance (1 hour), Chapter 3 Life tables and selection (5 hours), 3.5 Survival models for life insurance policyholders, 3.8 Notation and formulae for select survival models, 3.10 Some comments on heterogeneity in mortality, 5.7 Comparison of annuities by payment frequency, 6.4 The present value of future loss random variable, 6.8 The portfolio percentile premium principle. Dynamicportfolios. Introduction to object-oriented programming in an advanced language. Topics:Groups: Axioms, basic properties, examples, symmetry, cosets, Lagrange's Theorem, isomorphism. posted on The topics in ring theory include ideals, quotient rings, the quotient field of an integral domain, Euclidean rings, and polynomial rings. hedging. DEPARTMENT OF MECHANICAL ENGINEERING SADOPUR-AMBALA Articulate meaningful instructional goals for professionals, pre-professionals, and other students of mathematics.3. Principles of set theory and a set of axioms for probability are used to derive some probability density and/or distribution functions. Orientation. (rows, columns) for the layout of subplots. Approximation of real numbers by rationals: Dirichlet's theorem, continued fractions, Pell's equation, Liousville's theorem, algebraic and transcendental numbers, the transcendence of e and/or n. Text:Mathematical Interest Theory, Third Edition, Vaaler, Harper, & Daniel, AMS/MAA Press. heatmap(tbl,xvar,yvar) creates a heatmap from the table tbl.The xvar input indicates the table variable to display along the x-axis.The yvar input indicates the table variable to display along the y-axis.The default colors are based on a count aggregation, which totals the number of times each pair of x and y values appears together in the table. 36 hours of required material. Students will gain familiarity with commonlyused heuristics, learn to maintain good control of the problem-solvingprocess, and will gain proficiency in presenting solutions in both oraland written form. For other representations of multivariate data, also see parallel coordinates, radar charts and scatterplot matrix (SPLOM). develop effective thinking and communication skills applicable in mathematics and well beyond mathematics, develop mathematical independence and experience mathematical inquiry, and. The course meets three times a week for lecture and twice more for problem sessions. Responsible Parties:Kathy Davis and Altha Rodin, Spring 2010. The Univariate Model (as a base model) and Randomization (Two sample and Matched Pairs Test). Students planning to takeMathematics 365Cand373Kconcurrently should consult a mathematics adviser. (Also known as NCTM Standards.). There are a wealth of examples in the text, so the instructor has time to present only some of them. Course description:M 361 consists of a study of the properties of complex analytic functions. If tblA does not have row names, that is, if tblA.Properties.RowNames is empty, then sortrows returns tblA. secondary_y bool or sequence, default False Whether to plot on the secondary y-axis if a list/tuple, which columns to plot on secondary y-axis. Topics covered: life insurance, survival models, life tables, insurance benefits, annuities, and premium calculation. Whichever approach you take, you will have to carefully plan your sections and time to be spent on them. Charles M. Grinstead and J. Laurie Snell. 2.1-2.5; 2.7: 4 lectures, Do not get bogged down in 2.5; limit it to about one lecture. This can make the editor much more compact, but at a cost of not guaranteeing child editor order. If time permits: topics left up to the instructor. Please note that a thorough knowledge of calculus, probability, and statistics will be assumed. Strangles. Option price slopebounds. Students will understand key concepts concerning bonds, and how to perform related calculations. Moreover, the instructor advises that students will need athorough understanding and operational knowledge of (at least) calculus, finite-stage-space probability, and the term structure of interest rates. Apply x value sorting to data plot in graph without having to sort columns in worksheet. participate in the creative process and social negotiation characteristic of mathematicians work. For example, it underlines nicely how the solutions to a homogeneous system are better behaved than the solutions to a non-homogeneous system. The variable self is always available. ), Chapter 20 Inference about a Population Proportion, Chapter 22 Inference about Variables: Part III Review (May be assigned as reading), Chapter 23 Two Categorical Variables: The Chi-Square Test (Section on the goodness of fit optional. This includes properties of the .integers, including divisibility and prime factorization; properties of groups, including subgroups, homomorphisms, permutation groups, the Sylow theorems; properties of rings, including subrings and ideals, homomorphisms, domains, especially Euclidean, principal ideal, and unique factorization domains, polynomial rings. For example [(a, c), (b, d)] will Whether to plot on the secondary y-axis if a list/tuple, which Construct a philosophy of teaching.9. Basic concepts: Sample spaces, events, basic axioms and theorems of probability, finite sample spaces with equally likely probabilities. This creates new output columns and also create a new line in the Data tab. WebtblB = sortrows (tblA,'RowNames') sorts a table based on its row names. Text:a reasonable text is Brown and Churchill, Complex Variables and Applications, sixth edition. For the suggested time devoted to each chapter, 1 hour corresponds to 50 minutes of actual class time. To do this, you will develop a coherent framework for understanding human learning in the context of mathematics instruction, which you can articulate. matrix col colcolcolorRamp2 name na_col = grey, #ComplexHeatmapNA,na_colNA color_space = LAB, #col rect_gp = gpar(col = NA), cell_fun = NULL, #cell_funcell7i(row index,index, j(column indexindex), x,y(,width,height(cell,fill(cell, row_title_side = c(left, right), #row_title_side(left)(right), row_title_gp = gpar(fontsize = 14), #row_title_gp 14, row_title_rot = switch(row_title_side[1], left = 90, right = 270), #row_title_rot 0,90,270, column_title = character(0), #column_title, column_title_side = c(top, bottom), #column_title_side(top)(bottom), column_title_gp = gpar(fontsize = 14), #column_title_gp, column_title_rot = 0, #column_title_rot0,90,270, clustering_distance_rows = euclidean, #clustering_distance_rowseuclidean, clustering_method_rows = complete, #clustering_method_rows completehclust, row_dend_side = c(left, right), #row_dend_side(left)(right), row_dend_width = unit(10, mm), #row_dend_widthunit, show_row_dend = TRUE, #show_row_dend, row_dend_reorder = TRUE, , row_dend_gp = gpar(), #row_dend_gp, row_hclust_side = row_dend_side, #row_hclust_side, row_hclust_width = row_dend_width, #row_hclust_width, show_row_hclust = show_row_dend, #show_row_hclust, row_hclust_reorder = row_dend_reorder, #row_hclust_reorder, row_hclust_gp = row_dend_gp, #row_hclust_gp, cluster_columns = TRUE, #cluster_columns, clustering_distance_columns = euclidean, #clustering_distance_columns, clustering_method_columns = complete, #clustering_method_columnshclust, column_dend_side = c(top, bottom), #column_dend_side(top)(bottom), column_dend_height = unit(10, mm), unit, column_dend_gp = gpar(), , column_dend_reorder = TRUE, #column_dend_reorder, column_hclust_side = column_dend_side, #column_hclust_side, column_hclust_height = column_dend_height, #column_hclust_height, show_column_hclust = show_column_dend, #show_column_hclust, column_hclust_gp = column_dend_gp, #column_hclust_gp, column_hclust_reorder = column_dend_reorder, #column_hclust_reorder, row_order = NULL, #row_order, column_order = NULL, #column_order, row_names_side = c(right, left), #row_names_side, show_row_names = TRUE, #show_row_names, row_names_max_width = default_row_names_max_width(), #row_names_max_width, row_names_gp = gpar(fontsize = 12), #row_names_gp, column_names_side = c(bottom, top), #column_names_side, show_column_names = TRUE, #show_column_names, column_names_max_height = default_column_names_max_height(), #column_names_max_height, column_names_gp = gpar(fontsize = 12), #column_names_gp, top_annotation = new(HeatmapAnnotation), #top_annotationHeatmapAnnotation, top_annotation_height = top_annotation@size, #top_annotation_height, bottom_annotation = new(HeatmapAnnotation), #bottom_annotationHeatmapAnnotation, bottom_annotation_height = bottom_annotation@size, #bottom_annotation_height, km = 1, #kmk-meansk>1,k-means,cluster,, km_title = cluster%i, #km_titlekmclusteriicluster, split = NULL, splitcluster_rowssplit, gap = unit(1, mm), , combined_name_fun = function(x) paste(x, collapse = /), split, width = NULL, . Most incoming M340L students are already quite adept at solving systems of equations, and it is important to move quickly at the beginning of the term to material that does challenge them, reserving time to tackle the more difficult vector space concepts of chapter 4. Row operations are easy for them and you can go quite quickly here. Forward prices for powers of the underlying. MAHARISHI MARKANDESHWAR UNIVERSITY Within the limits of the prerequisites, students are expected to derive and apply the theoretical results as well as carry out some standard statistical procedures. Click here to review the details. In case subplots=True, share x axis and set some x axis labels Course description:Intermediate actuarial models for life insurance, property insurance, and annuities. WebCategorical variable list, specified as the comma-separated pair consisting of 'CategoricalVars' and either a string array or cell array of character vectors containing categorical variable names in the table or dataset array tbl, or a logical or numeric index vector indicating which columns are categorical. For an automatically calculated minimum or maximum limit, use -inf or inf, respectively. MarketIndices. Definitions of topological space: basis, sub-basis, metric space. MATLAB uses the 'tight' limit method to calculate the corresponding limit. WebM 305G Preparation for Calculus Syllabus. Plotly is a free and open-source graphing library for Python. All rights reserved. Two-periodbinomialpricing. Degree relevance:Our Introduction to Mathematical Proof Writing courses (M 325K, M 328K, and M 333L) provide an essential transition from the algorithmic approach of calculus to the entirely rigorous approach of more advanced proof writing courses such as Advanced Number Theory, M 361K/M 365C, M 343K/M 373K, or M 367K. Then as the semester progresses the professor and the students need to meet the challenge of each student assuming responsibility/ownership. We expect students to have a good feel for manipulating matrices, especially rowreduction, but also taking determinants. Prerequisite and degree relevance:Mathematics 408D,408L, or408Swith a grade of at least C-. Covered/nakedoptionwriting. Most of this chapter can be omitted, but 4.6 should be covered. Simulation of the random walk. Click the arrow to reverse the sort order. The emphasis of the course is on conceptual understanding and the development of proof-writing skills. It is not assumed that students have seen eigenvalues and eigenvectors; those should be done from scratch. Synthetic forwardcontracts. library(ggthemes) Black-Scholes pricing for options of futures, currencies, discrete-dividend-paying stocks. Here is an example of visualizing the survival rate of passengers in The dimension labels can be dragged horizontally to reorder the dimensions and the category rectangles can be dragged vertically to reorder the categories within a dimension. WebCreate a stacked plot of data from tbl.The row times, OutageTime, provide the values along the x-axis.The stackedplot function plots the values from the Loss, Customers, and RestorationTime variables, with each variable plotted along its own y-axis. But can you explain to a questioning beginning algebra student why this procedure is legitimate? There are many math problems you can solve. s and t can specify node indices or node names.digraph sorts the edges in G first by source node, and then by target node. Students will be solving problems in class andat home, in groups and individually. develop the skills to read, understand, critique, and construct logical arguments. Congruences, Theorems of Fermat and Euler, primitive roots. Similarly, you cannot expect students to have any background in proofs, and should not expect competence in this. 8.1-8.4: 3 lectures, Do not let any optional material crowd out the limit theorems. Review of uniform distribution. Project:Students will be expected to do a term project to apply the material studied in the course. Identify and change the order in which features are created. Only one the following may be counted:Mathematics 378K,Statistics and Data Sciences 378,Statistics and Scientific Computation 378. Rigorous proofs are given for most results, with the intent to provide the student with a reliable grasp of the results and techniques. Bid-askspread. secondary_y bool or sequence, default False Whether to plot on the secondary y-axis if a list/tuple, which columns to plot on secondary y-axis. Coveredcalls. Calendar (Lecture by lecture) M 349R (approximate calendar with 38 days three times a week and 6 days for Optional Topics). WebG = graph(A,NodeTable) specifies node names (and possibly other node attributes) using a table, NodeTable. This class carries the Independent Inquiry Flag. Elliptic curve cryptosystems. Students who receive a grade of C- in one of the prerequisite courses are advised to takeMathematics 343Kbefore attempting373K. RatioSpreads. I would like to create a table of 5 columns and 10000 rows, such that it has headers with empty cells in the beginning. WebSpecify the table variables as a numeric array. Chapter 1 Nine or ten lectures. The approach is problem-oriented and not particularly theoretical. Symmetric cryptosystems, such as DES and AES. Consider the example of an array of children. Prerequisite and degree relevance:Mathematics 427Jor427K, and340Lor341, with a grade of at least C- in each; and some basic programming skills. Dummy variables for Seasonal Models in Time Series Regression with AR(1) errors structure. However, many of the students are majoring in other subjects(e.g., computer science or economics), and have little preparation in abstract mathematics. Course description:This is an introductory course in the mathematical theory of probability, thus it is fundamental to further work in probability and statistics. . Text:Differential Equations and Their Applications,by Martin Braun. The href property is a template that gets re-evaluated every time the value changes. WebDelete the names matching the given patterns from the symbol table. RowReorder provides the ability for end users to quickly and easily reorder items in the table by click and drag. class: center, middle ### W4995 Applied Machine Learning # Visualization and Matplotlib 01/27/20 Andreas C. Mller ??? You can simply combine tables in the same way as you can combine matrices in MATLAB, as long as dimensions are consistent. The syllabus for the course includes topics in the theory of groups and rings. ButterflySpreads. Only used if data is a Students will understand key concepts concerning the determinants of interest rates, the components of interest, and how to perform related calculations. To teach proofs, the instructor should cover Section 1.3 thoroughly to introduce various proof techniques. Covering parts of 4.3 and 4.5 may be useful to aid in understanding 4.6 as listed below. JSONEditor.defaults.options.theme CSS , CSS . to add the "age" property back in. This course covers the content for the Society of Actuaries Financial Mathematics Exam (Exam FM) and the Casualty Actuarial Society Exam 2. js Webstackedplot (tbl) plots the variables of a table or timetable in a stacked plot, up to a maximum of 25 variables. Background:M 341 (Linear Algebra and Matrix Theory) and M 340L (Matrices and Matrix Calculations) cover similar material. ARDL Estimation. Many concepts in the book, especially in the later chapters (e.g., understanding the long-time behavior of a dynamical system from its eigenvalues), can be absorbed quite easily through numerical experimentation. Chapter 2: Looking at Data - Relationships Sections 1 5, supplemented with additional material.Chapter 3: Producing Data Sections 1 4, supplemented with additional material, including the project proposal.Chapter 4: Probability: The Study of Randomness. I Vectors in two- and three-dimensional space, 1.2 The inner product, length, and distance, 1.3 Matrices, determinants, and the cross product, 1.4 Cylindrical and spherical coordinates, (add discussion of linear maps, matrices) 2.1 The geometry of real-valued functions, 2.2 Limits and continuity (assign to read), 2.6 Gradients and directional derivatives, 3.1 Iterated partial derivatives (briefly), 3.4 Constrained extrema and Lagrange multipliers, 3.5 The implicit function theorem(if time permits) 3,5, 5 DOUBLE AND TRIPLE INTEGRALS (3 days)(cover first three sections in one lecture), 5.3 The double integral over more general regions, 6 THE CHANGE OF VARIABLES FORMULA (3 days), 6.2 The change of variables theorem (lightly), 6.3 Applications of double, triple integrals(if time permits), 7 INTEGRALS OVER PATHS AND SURFACES (7 days) (next chapter, depends heavily on this) 7.1 The path integral, 7.5 Integrals of scalar functions over surfaces, 7.6 Surface integrals of vector functions, 8 THEOREMS OF VECTOR ANALYSIS (5-6 days) (may reorder as (8.1, 8.4, 8.2, 8.3), Linear Independence, Basis, and Dimension, Eigenvalues and the Characteristic Polynomial, Traces, Determinants, and Tricks of the Trade, Simultaneous Diagonalization of Two Operators, Exponentials of Complex Numbers and Matrices, Discrete-Time Evolution: x(n) = Ax(n 1), Exploration: Fibonacci Numbers and Tilings, Reducing Second Order Problems to First Order, Linear Analysis near Fixed Points of Nonlinear Problems, Real Inner Products: Definitions and Examples, Expansion in Orthonormal Bases: Finding Coefficients, Orthogonal Complements and Projections onto Subspaces, Quadratic Forms and Real Symmetric Matrices, Rotations, Orthogonal Operators, and Unitary Operators, How the Four Classes are Related Exploration: Representations Of SU2, Waves on the Half-Line: Dirichlet and Neumann Boundary Conditions. type. Activate your 30 day free trialto unlock unlimited reading. Review of Probability and Introduction to Statistics: Chapter 1, Sections 2.1, 2.2, 2.12, 3.1, 3.11, 3.12, 4.1, 4.2, 4.3, 4.10, 4.12, 5.1, 5.12, 6.1, 6.7, Additional Probability Topics: Gamma and Chi-Squared Distributions: Section 4.6, Moment Generating Functions: Sections 3.9, 4.9, Probability Distributions of Functions of Random Variables: Sections 6.4, 6.5, Probability Distributions of Max and Min: First part of Section 6.6, Sampling Distributions and the Central Limit Theorem: All of Chapter 7, Properties of point Estimators and Methods of Estimation Chapter 9, omitting Section 8, Hypothesis Testing Chapter 10 (Section 9 optional). Return a string containing the elements of ARG listed in columns with an overall maximum width of WIDTH and optional prefix PREFIX. Forward andprepaid forwardpricing(stocks). Section 3.4 is a fairly reasonable attempt to introduce eigenvalues before introducing linear transformations. Riemann Integration: the definition and elementary properties of the Riemann integral; the integrability of continuous functions and monotone functions; the Fundamental Theorems of Calculus. This is done by Public key cryptosystems. [Chapters 13 16 have a combined weight of 20% - 25% of the SOA Exam C], 13.1 Method of moments and percentile matching, 13.5 Maximum likelihood estimation of decrement probabilities, 14 Frequentist Estimation for discrete distributions, 14.6 Effect of exposure on maximum likelihood estimation, 15.3 Conjugate prior distributions and the linear exponential family, 16.2 Representations of the data and model, 16.3 Graphical comparison of the density and distribution functions, [Chapters 17 19 have a combined weight of 20% - 25% of the SOA Exam C], 17 Introduction and Limited Fluctuation Credibility, 17.2 Limited fluctuation credibility theory, 18.2 Conditional distributions and expectation, [Chapter 20 has a weight of 5% - 10% of the SOA Exam C], 20.2 Simulation for specific distributions, 20.4 Examples of simulation in actuarial modeling. new table will be 21600x10 new_table = [t1; t2] % combine them I is the same size as A.The index vectors are oriented along the same dimension that sort operates on. Meets with M 389P, the corresponding graduate-course number. Please note that thorough knowledge of calculus, probability, interest theory, and Actuarial Contingent Payments I will be assumed. table_attach_columns: Attaches [appends] additional columns to a previously existing two-dimensional array. Prerequisite and degree relevance:Mathematics 427Jor427Kwith a grade of at least C-. Reorder colors in a colormap. Remaining columns that arent specified Inference on Regression and Residual Plots. Limits and continuity of functions: the definition and elementary properties of limits of functions, including the usual variations on the basic theme (e.g.,one-sided limits, infinite limits, limits at infinity); continuity; the fundamental facts concerning continuous functions on intervals (e.g., Intexmexliatc Value Theorem, Maximum-Minimum Theorem, continuity of inverse functions, uniform continuity on closed intervals). ), 3.1 Introduction (cover lightly for vocabulary), 3.4 Perpetuities (Cover together with the dividend discount model in 7.1 Common and Preferred Stock.). Reorder colors in a colormap. plots). You can specify both limits, or specify one limit and let MATLAB automatically calculate the other. The textbook will be supplemented with R/SAS code and additional topics. Course description:This is a rigorous treatment of the real number system, of real sequences, and of limits, continuity, derivatives, and integrals of real-valued functions of one real variable. Inequalities and Limit theorems: Markov's and Chebyshev's inequalities, Weak and Strong Law of Large Numbers, Central Limit Theorem. In the above example schema, prop1 does not have an order specified, so it will default to 1000. Give succinct instructions and direct, effective, positive and negative feedback.6. Image, audio, and video links will display the media inline as well as providing a text link. 75144042 By default, this will do the validation with the editor's current value. Simpsons Paradox. Fixing Rows and Columns in Tables Econometrics and Statistics. Annualized forwardpremium. Risk-neutral pricing by simulation (the binomial case). EViews COM Automation Client Support (MATLAB, R, Python) fileattdef: Defines global (file) Reorder the complex coefficients returned by cfftf to resolve the progressive and retrogressive waves. If the frequency of occurrence for each combination of attributes is known in advance, this can be specified using the counts property. If True, draw a table using the data in the DataFrame and the data Adjust axes as needed and click Pick New Points to start digitizing new data. One should not try to cover all of these topics. The remainder of the Exam MFE/3F curriculum is exhibited in course M339d (also offered by the Department of Mathematics). A summer Training Report on SolidWorks and AutoCAD. See function reference for px.parallel_categories() or reference page for more information and chart attribute options! WebSummary. A table that contains columns in the order specified by the operator arguments. library(ggpubr) One-way Anova from Regression and Traditional Approach. The change event is fired whenever the editor's value changes. type. Course description:Introductory actuarial models for life insurance, property insurance, and annuities. Straddles. Maximumoption. 5.1-5.5; 5.7: 7 lectures. For example, if A is a 2-by-3 matrix, then [B,I] = sort(A,2) sorts the elements in each row of A.The output I is a collection of 1-by-3 row index vectors describing the rearrangement of each row of A. A typical semester has 42 MWF class days in the fall and 44 in the spring, so a few days for make-up or optional material are provided. This is particularly useful when you have multiple columns in a worksheet and want to plot any two columns against each other, without having to reorder the worksheet rows. The focus of the course is on hands-on data analysis. Course description:This course is an introduction to Analysis. Mini Toolbar to customize band colors, grid style, frame & grid color and thickness. Submitted In Partial Fulfilment for the Requirement of Four Weeks Industrial Training For an automatically calculated minimum or maximum limit, use -inf or inf, respectively. An empty working directory will default to the directory of the current document. prove a given statement using mathematical induction. WebSort index, returned as a vector, matrix, or multidimensional array. Mathematics 375T(Topic: Generalized Linear Models) and378Nmay not both be counted. fileattdef: Defines global (file) Reorder the complex coefficients returned by cfftf to resolve the progressive and retrogressive waves. "https://raw.githubusercontent.com/plotly/datasets/master/titanic.csv", 'https://raw.githubusercontent.com/plotly/datasets/master/imports-85.csv'. y-column name for planar plots. Text: David C. Dickson, Mary R. Hardy, and Howard R. Waters, Actuarial Mathematics for Life Contingent Risks, 2nd Edition (2013) Cambridge University Press, ISBN 9781107044074, Responsible party: Mark Maxwell August 2014. Linear algebra is the perfect subject for teaching students that abstraction can be a friend. You can use the "Object Properties" button To teach this course successfully, the instructor should establish modest goals on all three fronts. As such, results in lecture, and in the book, should generally be proved rigorously. namename `root[person][name]` "root" . 2015-08-28 13:27 Prerequisite and degree relevance:Mathematics 339Jor339U, and358Kor378K, with a grade of at least C- in each. The table must have the same number of rows as A. OriginLab Corporation. Jarrow-Ruddbinomialtree. Please note that a thorough knowledge of calculus, probability, and interest theory will be assumed. Overnight prot/loss. Several new features have been added in this version to improve organization and management of your Origin project: The following features and improvements have been added to worksheets: Freeze first n rows or columns. Increase your awareness of factors that bear on ethical decision-making, and equip youto be your best self in difficult situations. Prerequisite and degree relevance:The prerequisite is M 341 (or M 311) or M 340L with a grade of C- or better. However, the plot does not include the Region and Cause variables because they contain data that cannot be "0" and "1"), the 1-based index i1, and the field's value self (e.g. Adjust axes as needed and click Pick New Points to start digitizing new data. 1) Dimensional analysis and scaling (6 days)-Fundamental physical dimensions, units-Dimensional vs dimensionless quantities-Unit-free equations and their properties-Buckingham Pi Theorem-Characteristic scales for a function-Transforming equations to dimensionless form-Scaling to expose dominant/small effects, 2) Dynamical systems in one dimension (4 days)-Properties of solutions-Phase line diagrams-Equilibrium solutions-Stability of equilibria-Classification via linearization-Classification via Lyapunov functions-Bifurcation of equilibria-Basic types of bifurcations, hysteresis, 3) Dynamical systems in two dimensions (9 days)-Properties of solutions-Phase plane diagrams, nullclines, direction fields-Equilibrium solutions, stability-Stability in linear systems, eigenvalues-Phase diagrams for linear systems-Stability in nonlinear systems, linearization theorem-Stability in nonlinear systems, Lyapunovtheorem-Bifurcations in linear and nonlinear systems-Closed orbits and limit cycles, Hopf bifurcation-Poincare-Bendixsontheorem, 4) Regular perturbation methods (6 days)-Perturbed equations, regular vs singular-Characteristics of regular problems-Approximation via asymptotic series-Regular method for algebraic equations-Typical error bounds-Regular method for differential equations-Typical error bounds, issue of uniformity-Poincare-Lindstedt method for oscillatory problems, 5) Singular perturbation methods (5 days)-Characteristics of singular algebraic problems-Rescaling method for algebraic problems-Characteristics of singular differential problems-Boundary layers, failure of regular method-Two-scale method for problems with boundary layers-Idea of inner, outer, and matched expansions-WKB method for oscillatory, exponential problems, 6) Calculus of variations (11 days)-Function spaces and functionals-Absolute extrema of a functional-Local extrema of a functional, issue of norms-Concept of admissible variations-Necessary conditions for local extrema-Fundamental lemma, Euler-Lagrange equations-Fixed-endpoint and free-endpoint problems-Multiple-function and higher-order problems-Isoperimetric constraints, multiplier rule-Convexity and sufficient conditions. The real number system: the axiomatic description of the real number system as the unique complete ordered field, with special emphasis on the completeness axiom; the elementary topology of the real line. Diophantine equations: (equations to be solved in integers), sums of squares, Pythagorean triples. Examples. Row names of a table label the rows along the first dimension of the table. This will be supplemented with additional material.Resources:Instructors should contact Martha Smith for more details on the project, pacing, and supplemental material. No. Option price boundsandmonotonicity. Conditional probability: Reduced sample space, independence, Bayes' Theorem. Four steps of Arima Modeling (Backshift Notation), Four steps of Arima Modeling (Model Comparison), Intro to Seasonal Models (Box Jenkins Models), Continue with Seasonal (Multiplicative Backshift Notation). So for the row with a Jan-17, I created a column called SortIndex that had a 1. Preallocate a table and fill in its data later. I will fill in the cells with strings or numbers later after calculation. Students will understand and be able to perform calculations relating to present value, current value, and accumulated value. .. versionchanged:: 0.25.0, Use log scaling or symlog scaling on y axis. Students will be able to calculate present value, current value, and accumulated value for sequences of non-contingent payments. Course description: This is an introduction to linear algebra and differential equations. $ Properties associated with a random variable are developed for the usual elementary distributions. 4 Simple Interest/Linear Accumulation Functions, 6 Interest in Advance/The Effective Discount Rate, 7 Discount Functions/The Time Value of Money, 10 Nominal Rates of Interest and Discount, 11 A Friendly Competition (Constant Force of Interest), 14 Quoted Rates for Treasury Bills (Optional: This section shows applications of simple discount and simple interest. Samuelson's model for stock prices. i 0. Problem-solving is required, and some theorem proving can be done, but the course emphasizes computation and intuition. You can use the validate method to check if the data is valid or not. 1. M 333L Student Experience GoalsStudents will: M 333L Student Learning ObjectivesStudents will: Course Description: In this course, we will study 2-dimensional geometry from an axiomatic perspective. Special distributions: Bernoulli, Binomial, Poisson, and Geometric discrete random variables. For example, if A is a 2-by-3 matrix, then [B,I] = sort(A,2) sorts the elements in each row of A.The output I is a collection of 1-by-3 row index vectors describing the rearrangement of each row of A. This example demonstrates how the on_selection and on_click callbacks can be used to implement linked brushing between 3 categorical dimensions displayed with a parcats trace and 2 continuous dimensions displayed with a scatter trace. Here's an example: Ace Editor is a syntax highlighting source code editor. WebEdited: MathWorks Support Team on 28 Apr 2022. Dash is an open-source framework for building analytical applications, with no Javascript required, and it is tightly integrated with the Plotly graphing library. Instead of getting/setting the value of the entire editor, you can also work on individual parts of the schema: When feasible, JSON Editor won't let users enter invalid data. This is an actuarial capstone course and students are expected to do some independent learning and improve verbal and written acumen. Editors can accept options which alter the behavior in some way. PANKAJ KUMAR Multiple Regression and Interpreting Coefficients. Point Estimation (bias, mean square error, relative efficiency, consistency, sufficiency, Method of Moments, Method of Maximum Likelihood, Rao-Blackwell Theorem, and Minimum Variance Unbiased Estimation). WebYou must first open the database in Access. I is the same size as A.The index vectors are oriented along the same dimension that sort operates on. Students who receive a grade of C- in one of the prerequisite courses are advised to takeMathematics 361Kbefore attempting365C. Microsoft pleaded for its deal on the day of the Phase 2 decision last month, but now the gloves are well and truly off. Basic combinatorics: Counting principle, permutations, combinations. Static financialportfolios. Predictor variables to use in the fit, specified as the comma-separated pair consisting of 'PredictorVars' and either a string array or cell array of character vectors of the variable names in the table or dataset array tbl, or a logical or numeric index vector indicating which columns are predictor variables. If loading an external url via Ajax, the url must either be on the same domain or return the correct HTTP cross domain headers. A value of false makes the cells in that column uneditable. Generally, move quickly but cover 1.3 meticulously. Course Content:Emphasize problem solving and intuition. Creating a Spool. Profit. Textbook: Klugman, S.A., Panjer, H.H. I is the same size as A.The index vectors are oriented along the same dimension that sort operates on. Seed the editor with an initial value. #pearson This class carries the Independent Inquiry Flag. The Bivariate Model vs Univariate Model. The intention is that by the end of this course you will be simultaneously eective and ecient teachers who have reflected upon the ethical issues related to supervising and instructing others and the leadership characteristics needed for this situation. Students are further expected to identify steps in the modeling process, understand the underlying assumptions implicit in each family of models, recognize which assumptions are applicable in a given business application, and appropriately adjust the models for the impact of insurance coverage modifications. Prerequisite and degree relevance:Mathematics 358Kor378Kwith a grade of at least C-. It is an interesting and important part of this chapter, at least in my opinion. Course description:Extensions to ordinary least-squares regression, including Poisson regression, the lasso, mixed models, and ridge regression. Insert worksheets into graph or layout pages to create custom reports: Insert worksheet in graphs or layout pages and further customize object to create custom reports. The approach is problem-oriented and not particularly theoretical. See https://www.soa.org/education/exam-req/edu-asa-req.aspx and http://www.casact.org/admissions/exams/ for further details regarding these exams. There are 3 class days for midterms or review. Examplesofsimplest derivative securities: All-or-nothing options. select or checkbox, format8checkboxselect , format=grid. ), 5.4 Loans with Other Repayment Patterns (Optional), 5.5 Yield Rate Examples and Replacement of Capital (Replacement of capital is optional. Homomorphisms, quotient groups, and the Fundamental Homomorphism Theorem. table : with columns b and d. scatter : scatter plot (DataFrame only). The title keyword of a schema is used to add user friendly headers to the editing UI. Special counting techniques are developed to handle some problems. Real sequences: the definition and elementary properties of sequential limits; subsequences and accumulation points; monotone sequences; inferior and superior limits; the Bolzano-Weierstrass theorem. Topics include splines, orthogonal polynomials, and smoothing of data, iterative solution of systems of linear equations, approximation of eigenvalues, two-point-boundary value problems, numerical approximation of partial differential equations, signal processing, optimization, and Monte Carlo methods. Pool Mean Group (PMG) Estimation Table and Text Objects. You can move a single column or a contiguous group of columns. This course has three lectures and two problem sessions each week. To accomplish this, use the headerTemplate property. Consolidate workspace memory in MATLAB. Those teaching on TTh should adjust the syllabus; a MWF lecture lasts 50 min; a TTh 75 min. Microsoft pleaded for its deal on the day of the Phase 2 decision last month, but now the gloves are well and truly off. Only one of the following may be counted:Computer Science 367,Mathematics 368K,Physics 329. Similar to other trace types, this property may be set to an array of numbers, which are then mapped to colors according to the the colorscale specified in the line.colorscale property.. Vector Spaces and Bases(two days), Chapter 3. Systematically analyze the effectiveness of your teaching on the basis of student accomplishment.7. table and tabs . Hosted by OVHcloud. Random number generation. Text Objects Spool Objects. Preview window supports zoom, including option to show image in actual size. Sharpe ratio. rgb2hsv. M 360M Mathematics as Problem Solving Syllabus, M 361 Theory of Functions of a Complex Variable Syllabus, M 361K Introduction to Real Analysis Syllabus, M 362M Introduction to Stochastic Processes Syllabus, M 368K Numerical Methods for Applications Syllabus, M 371E Learning Assistant Experience in Mathematics Syllabus, M 374M Mathematical Modeling in Science and Engineering Syllabus, M 378K Introduction to Mathematical Statistics Syllabus, M 378N Generalized Linear Models Syllabus. plotting.backend. Instant access to millions of ebooks, audiobooks, magazines, podcasts and more. You can rename the variables in a table by using either the "Properties.VariableNames" property or the "renamevars" function. Each variable in the data set is represented by a column of rectangles, where each rectangle corresponds to a discrete value taken on by that variable. It will be impossible to cover everything here adequately. If you have edge properties that are in the same order as s and t, use the syntax G = digraph(s,t,EdgeTable) to pass in the edge properties so that they are sorted Sort column names to determine plot ordering. (2) the SoA exam MFE and the financial economics portion of the CAS Exam 3. matrix col colcolcolorRamp2 name na_col = grey, #ComplexHeatmapNA,na_colNAcolor_space = 6Cellggplot2/, taoyanRR:https://ytlogos.github.io/. ( "path.to.field"). , JSONEditor.defaults.options.template , primary_colorpossible_colors European calloptions(rationale,definition,implementation). M 328K Student Experience GoalsStudents will: M 328K Student Learning ObjectivesStudents will: A list of texts from which the instructor may choose is maintained in the text office. Development and design of wearable textile antenna on various fabric substrat CONGRATULATIONS ON BRAZILIAN ENGINEER'S DAY.pdf. Go to the result worksheet which contains the coordinate values of picked data points. Continue with Inference on Regression and Coefficient of Determination. Other options:Groups acting on sets, characterization of the familiar number systems in terms of ring and field properties, and other applications of groups. By default, all instances of JSON Editor will use the en language. Without dynamic headers, the UI for the array elements would show Child 1, Child 2, etc.. You cannot sort image columns. ), 5 Annuities with Payments More Frequent Than Each Interest Period and Payments in Arithmetic Progression (Include content from pages 209-210 to aid in understanding 4.6. Allows plotting of one column versus another. 3 Level Annuities with Payments More Frequent Than Each Interest Period (Include content from pages 201-202 to aid in understanding 4.6. Making the first column in a table sticky is super simple, you basically add the sticky class to the column. 2.1 2.2 2.3 2.3.1 2.3.2 2.3.3 2.3.4 2.4 2.5 2.6 2 table. secondary_y bool or sequence, default False Whether to plot on the secondary y-axis if a list/tuple, which columns to plot on secondary y-axis. M 362K, 358K, and 378K form the core sequence for students in statistics. Check out examples/recursive.html for usage examples. ), Chapter 18 Inference about a Population Mean, Chapter 19 Two-Sample Problems (The section on details of the t approximation is optional, and so are the sections on avoiding the pooled two-sample t procedures and avoiding inference about standard deviations. This includes elementary properties of vector spaces and fields, including bases and dimension, elementary properties of linear transformations, relations to matrices, change of bases, dual spaces, characteristic roots, canonical forms, inner product spaces, normal transformations, quadratic and bilinear forms. Course description:A rigorous treatment of selected topics in real analysis, such as Lebesgue integration, or multivariable integration and differential forms. 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