MATH 103. The Nature of Mathematics. 3 credits.
This course is specifically designed for the liberal studies/general education program as an option to the more traditionalofferings in mathematics which concentrate in prescribed areas. Flexibility in the choice of content modulesprovides students a variety of opportunities to experience careful articulationof problems, the powers of abstraction, the use of logic and deduction, and thedifference between determinism and probability.
Through the rigorous analysis of carefully selectedmodules,students develop investigative and communicative skills in mathematics. They broaden their intellectual foundationsand critical facilities by seeing examples of what mathematicians seek to doand how they do it. Most importantly,the course seeks to shape attitudes toward mathematics as a worthwhile humanendeavor whose benefits can be used andappreciated.
Mathematics is the language of our increasinglytechnological age. To achieve fullrealization of potential, all persons need facility in and understanding ofthis subject. Math 103 helps theliberal studies/general education student meet this need.
Sample Syllabi:
1) (a) Arithmetic,geometry, and problem solving in ancient Egypt and ancientIraq.
(b) The mathematics of Thales and thePythagorean school.
(c) The mathematics of Greece in the 4th and5th centuries BC.
(d) The mathematics of the Hellenistic worldwith special emphasis on topicsthat are still in vogue (Pythagorean Theorem,incommensurables, conic sections,etc.).
2) (a) Permutationsand combinations, probability, conditional probabilityand independence withapplications to gambling and the fifteen puzzle.
(b) Cryptography.
(c) Modular arithmetic.
(c) Topics from History of Mathematics.
3) (a) Axiomaticsystems and the field axioms.
(b) First order logic and proof.
(c) First degree equations and systems offirst degree equations..
(d) Quadratic equations.
4) (a) Additionand multiplication of ordered pairs of numbers.
(b) The field "axioms" as theoremsin this system.
(c) First degree equations.
(d) Quadratic equations.
Math 103 is a LEVEL I course and satisfies the liberal studies requirement in mathematics. Thespecific objectives for the course are: 1. (a)-(e)
MATH 107-108. Fundamentals of Mathematics. 3 credits.
Problem solving and critical thinking are fundamental to allactivities in the discipline of mathematics and are the main themes of thesetwo courses. Since problems areselected from many other fields, these courses make a connection between mathematics as a whole and other areas. The sequence Math 107-108 is designed to satisfy liberal studiesrequirements with a special emphasis on students who wish to become teachers inelementary and middle school.
The subject matter of the courses includes a consideration of several of civilization's greatest achievements, including the real number system, the Hindu-Arabic numeration system, and Euclidean geometry. These subjects are fundamental to humanknowledge. The study of these topicsincludes some consideration of their historical origins in ancientcultures. Thus, the courses explore thepurpose of mathematics, its limits, and its successes and failures.
The courses include topics which are very practicalas wellas useful in intellectual development. These include logical reasoning, elementary probability theory, descriptive statistics, and an introduction to computers. These topics provide students with increasedunderstanding of mathematics as a worthwhile human endeavor with immediate anduseful benefits.
Syllabi:
1) Math 107 (a) Critical thinking.
(b) Problem solving.
(c) Logic.
(d) Sets.
(e) System of whole numbers.
(f) Numeration systems.
(g) Introduction to computing.
(h) Number theory.
(i) System of integers.
2) Math 108 (a) Introduction to geometry.
(b) Transformations in geometry.
(c) Additional topics in geometry.
(d) Introduction to probability.
(e) Statistics.
Math 107 and Math 108 are LEVEL I courses and satisfy theliberal studies requirement in mathematics. The specific objectives for the courses are: 1. (a)-(d)
The subject matter of these courses is particularlyusefulin the elementary and middle school classroom. Each serves as an elective for any student wishing to become anelementary or middle school teacher. The sequence satisfies the B.S. requirement in mathematics.
MATH 135. Elementary Functions. 3 credits.
Algebraic, exponential, logarithmic and trigonometric functions are studied as the building blocks of calculus and analysis. Math 135 is designed for freshmen who needto improve their competency in theseareas and who plan to take MATH 235 (Analytic Geometry and Calculus, 4 credits). The needs of these students require that thecourse be highly focused on skills whose applications, values and connectionsto other disciplines largely will not be realized until later. The liberal studies components which arepresent in this course are not fully realized until the student completes MATH235.
Syllabus:
(a) Basic algebra.
(b) Functionsand their graphs.
(c) Exponentialand logarithmic functions.
(d) Trigonometricfunctions.
(e) Trigonometricidentities and equations.
(f) Applicationsof trigonometry.
(g) The complexnumber system.
Math 135 will satisfy 3 hours of the B.S. requirement inmathematics. This course does notsatisfy the liberal studies requirement in mathematics. The specific objectives of this course areto prepare students to take a follow up course that requires specific basicskills to succeed.
MATH 155. Functionsand Probability. 3 credits.
(MATH 156. Functions and Probability. 3 credits. 1 hr. lab.)
Polynomial, rational and logarithmic functions andapplications, systems of equations and inequalities, sequences, counting andprobability are studied as the building blocks for calculus and statisticsapplications to biological, social and management sciences.
MATH 155(156) is designed for freshmen who need to improve their competency in these areas and who plan to take MATH 205. The needs of these students require that thecourse be highly focused on skills whose applications, values and connectionsto other disciplines largely will not be realized until later. The liberalstudies components which are present in this course are not fully realizeduntil the student completes MATH 205 (Introduction to Calculus, 3 credits).
Syllabus:
(a) Review of numbers and their properties,exponents and polynomials,equations and inequalities, coordinates and curves.
(b) Functions and their graphs.
(c) Exponential and logarithmic functions.
(d) Systems of equations and systems ofinequalities.
(e) Sequences and counting problems.
(f) Probability and expectation.
Math 155(156) will satisfy 3 hours of the B.S. requirement in mathematics. This coursedoes notsatisfy the liberal studies requirement in mathematics. The specific objectives of this course areto prepare students to take a follow up course that requires specific basicskills to succeed. Math 156 differsfrom Math 155 in that the course meets four hours per week and so the pace ofthe course is slower.
MATH 205-206. Introductory Calculus. 3 credits.
Math 205-206 is a two semester sequence of introductory calculus designed for non-mathematics majors. Calculus is a fundamental area of human knowledge that has greatly influenced our understanding of the world around us. Students have an opportunity in MATH 205-206 to experienceanintroduction to the concepts of calculus as they apply to disciplines suchasthe behavioral and life sciences and business. The topics are presented in an informal manner, so the studentdevelopsan intuitive grasp of the subject. Theopportunities offered in this course of working throughoptimization,exponential growth and decay, rates of change, and other problems,allow thestudent to develop rigorous analytical skills and to see in a directway howmathematicians use mathematics to learn about the real world. The student will appreciate that mathematicsis a highly developed language that permits one to communicate effectively in,and better understand, our modern high-technology age.
Course Outline:
1. Precalculus Review
2. Limits of Functions, Continuity
3. The Derivative
4. Rules of Differentiation (Product/Quotient Rules, The ChainRule)
5. Applications of the Derivative: Optimization and Curve Sketching
6. Exponential and Logarithmic Functions and their Derivatives; Applications
7. Antiderivatives (the Indefinite Integral); the Method ofSubstitution
8. The Definite Integral; Area
9. The Fundamental Theorem of Calculus; Evaluating Definite Integrals; Applications
Math 205 is a LEVEL I course and satisfies the liberal studies requirement in mathematics.. The specific objectives for the course are: 1. (a), (b), 2. (a), (c)
The applications in this course are specifically chosen forbehavioral and life sciences and business students. This course is a valuable elective for majors in thesedisciplines.
2) Math 206 (a) Areasbetween curves.
(b) Volumes of solids of revolution.
(c) Average value of a function.
(d) Partial derivatives.
(e) Extrema of functions of several variables.
(f) Lagrange multipliers and constrained optimization.
(g) Total differentials and their applications.
(h) Method of least squares.
(i) Double integrals.
(j) Trigonometric functions, their derivatives and applications.
(k) Integration by substitution.
(l) Integration by parts.
(m) Approximation of definite integrals.
(n) Improper integrals.
(o) Differential equations.
Math 206 is a LEVEL I course and satisfies the liberal studies requirement in mathematics.. Thespecific objectives for the course are: 1. (a), (b) 2.(b), (c) 3. (f)
The applications in this course are specifically chosen forbehavioral and life sciences and business students. This course is a valuable elective for majors in these disciplines. The sequence satisfies the BS requirement inmathematics.
MATH 220. Elementary Statistics. 3 credits.
This course is designed to expose non-mathematics majors tothe basic concepts and methods of statistics most commonly used in a variety ofdisciplines. The topics covered includedescriptive statistics, frequency distributions, sampling, estimation andtesting of hypotheses, regression, correlation, and an introduction to statistical analysis using computers.
Employing real life examples from various areas, the students are led to more fully appreciate the intrinsic uncertain aspects ofthe real world--physical, biological, social-economic-political, andbehavioral-psychological. The studentsare taught to read and understand the information given, logically put it touse in making decisions, and clearly express their conclusions. In doing so, the underlying assumptions ofthe statistical methods and the intrinsic limitations of the conclusions (dueto the assumptions imposed and the probabilistic nature) are alwaysemphasized. In particular, the studentsare taught to distinguish sound statistical procedures and statements fromfallacious ones and to guard against the misuse and abuse of statistics. In this way, the students learn the basicstatistical methods used in various disciplines to gain new knowledge and solveproblems about the real world, and, at the same time, learn to appreciate thelimitations of such methods and the knowledge and solutions thus obtained. In addition, the computer component of thiscourse introduces the students to the use of this indispensable tool foranalyzing data andsolving problems in the modern world.
Statistics is a basic tool for obtaining new knowledge: it is a guide to the unknown. Statistics is widely used not only in thesciences but alsoin education, business, industry, government, the humanities,and societyin general. Modern manlivesin a world of constant flux and saturation of information, which can beorganizedonly through the use of statistics. Thus, statistics is a subject every educated man and woman in themodernworld can use. With itsemphasis on thebasic concepts and methods commonly used in various disciplines rather thanspecific to any particular discipline, MATH 220 is a very suitable course forthe Liberal Studies Program.
Topics in Math 220
a) Mean, median, mode, percentiles, range,variance, standard deviation, Interquartile range,
b) Stemand leaf, (modified) box plot
c) Frequencyand relative frequency Histograms
a) Categoricaldata tables (counts, percents, probabilities)
b) Scatterdiagram
c) CorrelationCoefficient
d) Estimationof the slope and intercept for a simple linear regression model
a) Anintroduction – short
b) RandomVariables – mean and variance
c) DetermineBinomial probabilities
a) Modelfor a continuous random variable
b) Generalfeatures and properties
c) StandardNormal – use of table
d) Probabilitycalculations (standardizing)
a) Distributionof the sample mean
b) CentralLimit Theorem
a) Pointestimate
b) Intervalestimate
c) Hypothesistesting - P value method
a) Testfor Homogeneous populations
b) Testfor Independence
Math 220 is a LEVEL I course and is an elective in the statistics minor for non-mathematics majors. The specific objectives for the course are: 1. (a), (b), S2. (a)- (h).
This course satisfies the liberal studies requirement inmathematics and serves as an elective for any student not specializinginmathematics. The subject matterof thiscourse has wide application and so this course is an elective forseveralmajors across campus.
MATH 235-236-237. Calculus and Analytic Geometry. 4creditseach semester.
This is a three semester sequence of courses that integrates the subject matter of analytic geometry, differential and integral calculus andinfinite series. The concept of a limitis formalized and studied as the basis for the definitions of such concepts ascontinuity, differentiability, integrability and convergence. The applications of these definitions leadto the development of a collection of theorems that constitute a most powerfularsenal for successful problem solving. The sequence serves as a model for the development of mathematics fromtheory to application and sets a tone for the future study of mathematics.
Calculus is a language used to describe and understand thenatural world. In an increasingly technological age, it is essential that educated persons have someunderstanding of quantitative analysis. The models developed in these courses are important not only in the"obvious"application to the physical sciences, but they are alsoused with growingregularity in the social sciences
Syllabi:
1) Math 235
Pre-calculus
Limitsand Continuity
Differentiation
Optimizationand Curve Sketching
TheDefinite Integral
TheFundamental Theorems of Calculus
Applicationsof the Definite Integral
Math 235 is a LEVEL I course and is required in themathematics major. The specificobjectives for the course are: 1. (a), (b), (c), 2. (a), (b), 3. (c),(f), 4. (a)-(d)
This course is a required course for any student wishing tominor in mathematics. Thesubjectmatter for this course has wide applications and so this course isa valuableelective for non-specialists.
2) Math 236 (a) Inverse functions.
(b) Logarithmic and exponential functions.
(c) Inverse trigonometric functions.
(d) Techniques of integration.
(e) Polar coordinates.
(f) Indeterminate forms (L'Hopital's rule).
(g) Improper integrals.
(h). Convergence and divergence of sequenceand series
(i). Comparison test, ratio test, limit ratiotest.
(j). Alternating series, absolute convergenceand conditional convergence.
(k). The Taylor remainder theorem and Taylorseries.
(l). Power series and Maclaurin's series.
(m). Radiusof convergence.
(n). Algebraic properties of power series.
(o). Differentiation and integration of powerseries.
Math 236 is a LEVEL I course and is required in themathematics major. The specificobjectives for the course are: 1. (a), (b), (c), 2. (b), (c), 3. (d), (g),(l)
This course is a required course for any student wishing tominor in mathematics. Thesubjectmatter for this course has wide applications and so this course isa valuableelective for non-specialists.
3) Math 237
(a) Vectors
1. Vectorsin R2.
2. Vector-valuedfunctions and parametric equations.
3. Vectors in R3.
(b) Curves and surfaces
1. Planesand lines in R3.
2. Cylinders and surfaces of revolution.
3. Quadric surfaces.
4. Space curves.
(c) Multivariate Calculus.
1. Functions, limits and continuity.
2. Partial derivatives and the totaldifferential.
3. The chain rule.
4. The gradient and directionalderivatives.
5. Tangent plane and normal line.
6. Extrema and constrained extrema.
7. Implicit functions.
(d) Integration Theory.
1. Double integrals and iteratedintegrals.
2. Applications of double integrals.
3. Triple integrals.
4. Integration in polar, cylindrical andspherical coordinates.
5. Line and surface integrals.
Math 237 is a LEVEL I course and is required in themathematics major. The specificobjectives for the course are: 1. (a), (b), (c), 3. (d), (e), (f), (l) 4.(e)
This course is a required course for any student wishing tominor in mathematics. Thesubjectmatter for this course has wide applications and so this course isa valuableelective for non-specialists.
MATH/CS248. Computer Methods inEngineering and Science (3,2). 4credits.
Programming in a high-level programming language such asBASIC or FORTRAN is taught as a basis for using the computer to solve problems in areas basic to numerical work in engineering and science. The prerequisite structure is designed to allowqualified non-majors to access numerical mathematics and mathematical modelingcourses.
Computational mathematics is becoming more important intraditionally "non-hard" sciences and social sciences. This provides an avenue for good students who have taken MATH 205-206 (Introductory Calculus I, II, 3 credits eachsemester) to take computational mathematics and mathematical modeling. This course is part of a package designed toinclude more types of students in numerical mathematics and mathematical modeling.
Syllabus:
(a) Mathematical preliminaries.
(b) Solution methods for non-linearequations.
(c) Convergence of solution methods.
(d) Solutions of systems of equations.
(e) Use of functions and procedures innumerical methods.
(f) Interpolation.
1. Lagrange and Newton interpolatingpolynomials.
2. Divided differences.
(g) Differentiation.
1. Richardson extrapolation
2. Local and global error analysis.
(h) Numericalintegration.
1. General Newton-Cotes methods.
2. Trapezoidal rule and Simpson's rule.
3. Romberg integration.
4. Local and global error withNewton-Cotes Methods.
(i) Solutionsto differential equations.
1. Euler and modified Euler solutions.
2. Runga-Kutta methods.
3. Multi-step methods.
(j) Curvefitting
Math 248 is a LEVEL I course and is required in themathematics major. The specificobjectives for the course are: 1. (a), (b), 2. (c), 3. (a), (b).
MATH 285. DataAnalysis. 4 credits.
Concepts of data analysis are developed through a study ofexperimental and survey design, distributions, variation, chance, sampling variation, computer simulation, bootstrapping, estimation and hypothesistesting using real data generated from classroom experiments and large databases.
Math 285 provides students a "hands-on,"calculus-based, highly computer-oriented approach to the introduction ofprobability and statistics. The subjectmatter and approach to the material is particularly suitable for students whohave an interest in the interaction of science and statistics.
Syllabus:
(a) DescribingData with STATGRAPHICS, SAS.
1. Univariate: histogram,stem and leaf, boxplot, mean (derived as least squaresestimate of mu) median,percentiles, stdev., etc.
2. Bivariate: scatterplot,lplot, mplot, correlation, least squares line,association vs causation.
(b) ProducingData by Sampling.
1. Terms: population, unit,sample, sampling frame, etc.
2. Need for sampling design.
3. Simple random sampling, selections ofSRS's.
4. Sampling variability, sampling error,sampling distribution.
5. Stratified random sampling.
(c) ProducingData by Experimentation.
1. Terms: experiment, units,variable, response variable, factor, treatment,design of experiment.
2. Need for experimental design.
3. Basic principles of experimentaldesign: comparison, randomization,replication.
4. Completely randomized design,randomized block design.
(d) Probability- the study of chance.
1. Introduction: randomphenomena, probability, prob. in statistical inference,basic ideas, applications.
2. Probability model, axioms of prob.,equally likely outcomes.
3. Counting principles: mult. rule, permutations, combinations,partitions.
4. Properties of probability, generaladdition rule, complements, conditionalprobability, multiplication rule,independence.
(e) DiscreteRandom Variables/Populations.
1. Random variables and theirdistributions.
2. Expected values of random variables andfunctions of random variables,properties of expectations.
3. Bernoulli populations and r.v.
4. The hypergeometric distribution.
5. The binomial distribution, Minitab.
(f) Continuous RandomVariables/Populations.
1. Cont. r.v.'s and their distributions.
2. Expected values of cont. r.v.'s.
3. The uniform dist.
4. The expo. dist.
5. The normal dist.
(g) Statisticsand Sampling Distributions.
1. Sample mean and variance.
2. Sampling dist. of the sample mean
3. Normal approx. to the bin. dist.
(h) Estimation.
1. Point estimators and properties
2. Confidence interval for mean: normaland non-normal pops.
3. Sample sizes for estimating means
(i) Hypothesistesting.
1. Basic concepts, logic of hypothesistesting, power, p-value, etc.
2. Hypothesis testing about a singlemean: normal and non-normalpopulations.
3. Hypothesis testing about two or moremeans: analysis of variance, multiplecomparison procedures.
Math 285 is a LEVEL I course designed for applications oriented students who have an appropriate background. This course offers entry to the remainder of the appliedstatistics courses and is an elective for students wishing to minor in statistics.
The specific objectives for the course are : S1. (a)-(g), S2. (e)-(h).
The subject matter of this course has wide application andso this course serves as an elective for several majors across campus.
Math 300. LinearAlgebra. 3 credits.
An introduction to linear algebra is developed through astudy of vector spaces, linear transformations, matrices, determinants,systemsof linear equations, eigenvalues and eigenvectors.
Math 300 is designed to begin the process of abstraction andthe development of proof. Basic definitionsand concepts are introduced and used to establish a basis for the understandingof factual information that is often taken for granted, such as the statement"a system of linear equations either has no solutions, exactly onesolution or infinitely many solutions." The subject matter of this course has relevance to almost all applications of mathematics and so this course is a valuable elective for non-mathematics majors who have a calculus background and level of mathematical maturity.
Syllabus:
(a) Systems of linear equations andmatrices.
(b) Determinants.
(c) Vectors in 2-space and 3-space.
(d) Vector spaces.
(e) Linear Transformations.
(f) Eigenvalues and eigenvectors.
Math 300 is a LEVEL II course and is a requirement in themathematics major. The specific objectives for the course are:
1. (a)-(d), 3. (i)-(k), 4. (f)-(i)
This course serves as an elective for any student wishing tominor in mathematics.
Math 310. ElementaryTheory of Numbers. 3 credits.
The theory of numbers is developed through a study of theproperties of integers and prime numbers, divisibility, congruence, residues and selected topics.
Math 310 is designed to begin the process of abstraction andthe development of proof. Basicdefinitions and concepts are introduced and used to establish a basis for theunderstanding of factual information that is often taken for granted, such asthe statement "an integer is divisible by three if and only if the sum ofit's digits is divisible by three." The subject matter of this course is particularly useful tomiddle andsecondary teachers and so this course is a valuable elective forstudents whowish to become teachers.
Syllabus:
(a) Preliminary considerations.
(b) Divisibility theory in the integers.
(c) Primes and their distribution.
(d) The theory of congruences.
(e) Fermat's theorem.
(f) Primitive roots and their indices.
Math 310 is a LEVEL II course and is an elective inthemathematics major. The specificobjectives for the course are: 1.(a)-(d)
This course is an elective in the teacher certification program and serves as an elective for any student wishing to minor inmathematics.
MATH 315. The RealNumber System. 3 credits.
The system of the real numbers is developed throughasystematic study of the natural numbers, integers, rationals, and irrationals.
Math 315 is designed to begin the process of abstraction andthe development of proof. Basicdefinitions and concepts are introduced and used to establish a basis for the understandingof factual information that is often taken for granted, such as the twostatements "the square root of 2 is not rational," or "between any two distinct numbers there is a rational number." The subject matter of this course isparticularly useful tosecondary teachers and so this course is a valuableelective for studentswho wish to become teachers.
Syllabus:
(a) Notation,logic, and sets.
(b) Relations.
(c) Binaryoperations.
(c) The naturalnumber system.
(d) Order andcancellation.
(e) Well-ordering.
(f) One-to-onecorrespondences and counting.
(g) Theintegers.
(h) Ordering theintegers.
(i) Notationfor the integers.
(j) Therational numbers.
(k) Ordering therational numbers.
(l) Someconcluding remarks about the rational numbers.
(m) An intuitivelook at the real numbers.
(n) Sequences.
(o) The realnumbers.
(p) Order.
(q) Completeness(optional).
(r) Dedekindcuts (optional).
(s) The Peanoaxioms (Optional).
Math 315 is a LEVEL II course and is an elective inthemathematics major. The specificobjectives for the course are: 1. (a)-(d).
This course is an elective in the teacher certification program and serves as an elective for any student wishing to minor inmathematics.
MATH 318. Introduction to Probability and Statistics. 3 credits.
The theories of probability and statistics are developed ina course that introduces the student to descriptive statistics, counting, probability, random variables, sampling distributions, estimation, regression and correlation.
Math 318 is a calculus based course that is required ofmathematics majors. It isa coursedesigned to lead into the applied statistics courses and to the capstone statistics course Math 426-427. This isa course that lays the foundation for the theory of statistics.
Syllabus:
(a) Introduction to the nature ofprobability and statistics.
(b) Probability and counting.
1. Probability measure.
2. Permutations.
3. Combinations.
4. Conditional probability.
5. Independence.
(c) Discreterandom variables, distributions and moments.
1. Bernoulli.
2. Binomial.
3. Geometric.
4. Negative binomial.
5. Poisson.
6. Hypergeometric.
(d) Continuousrandom variables, distributions and moments.
1. Uniform.
2. Exponential.
3. Gamma.
4. Normal.
(e) Multivariateprobability distributions.
1. Joint, marginal and conditional.
2. Independence.
3. Expectations.
4. Covariance.
(f) Samplingand statistics.
1. Sampling distributions of the samplemean and sample variance.
2. Central limit theorem.
(g) Point and interval estimation of thepopulation mean (including proportion)and population variance.
(h) Testing the hypothesis involving thenormal and related distributions.
Math 318 is a LEVEL II course that is a required course ofall mathematics majors. The specificobjectives of the course are: 2. (e) 3. (m), (n) S1. (a)-(d), (i), (l).
MATH 321. Analysisof Variance and Experimental Design. 3credits.
Basic concepts in statistics and basic statisticaltechniques are introduced and reinforced through the study of applications instatistics. The topics covered includeestimation, test of hypothesis, analysis of variance and selected topics inexperimental design.
The design of an experiment refers to the choice oftreatments and the manner in which experimental units or subjects are assignedto the treatments in a scientific study. Selection of an appropriate design is crucial in avoiding confoundingresults and minimizing experimental error. Math 321 covers some basic experimental designs with correspondingmodelsand analyses. This course isanimportant course for a variety of students in the empirical sciences.
Syllabus:
(a) Introduction/Review.
1. Confidence interval for µ1=µ2 (equal variance).
2. Test of H0: µ1=µ2 (equal variance).
3. Test of H0: s 12=s2 2 (Bartlett‑Box).
4. Test of normality (Shapiro‑Wilk,Normal plot).
5. Test of outliers (Dixon, Boxplot).
6. Introduction to SAS.
(b) One‑wayANOVA: fixed effects.
(c) Hierarchicaland nested designs.
(d) Two factorANOVA: fixed effects.
1. Two‑way factorial.
2. Randomized complete block design.
(e) Three factorANOVA: fixed effects.
1. Three‑way factorial.
2. Latin square design.
(f) Variableeffects models.
1. Random models.
2. Mixed models.