The Nature of Scientific Research. Scientific Reasoning. Research Misconduct. Problem Solving.

Scientific Discovery. Scientific Reputation. Getting Started on a Research Project. The Research Proposal.

Planning an Observational/Experimental Project.

Planning a Theoretical/Computational Project.

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The Necessity of a Literature Search. The Internet. The Nature of Scientific Literature. Note Strategies.

Search Strategies. Analytic Reading. Synthetic Reading. Critical Reading.

Reading experimental/observational papers.

Reading theoretical papers.

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Making observations. Classification. Using Instruments for Measurement. Statistics.

Hidden Perceptions. Sampling. Reporting Errors. Propagation of Error.

Rejecting Data.

The Normal Distribution.

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Mean and Variance. Systematic Errors. Least Squares Fitting. Covariance and Correlation.

The Binomial Distribution. The Poisson Distribution. The Chi-Squared Test. Displaying Data.

Parameter Estimation.

Model Selection

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Axiomatic Systems. The Method of Direct Proof. Reductio ad Absurdum. Mathematical Induction.

Proof by Contrapositive. Counterexamples. Proof by Cases. Predicates.

Testing Hypotheses.

Derivations.

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Computational Errors. Designing Programs. Matrix Algebra. Optimization.

Sensitivity Analysis. Constrained Optimization. Monte Carlo Methods. Nonlinear Equations.

Maximum Likelihood Estimation.

Computer Arithmetic.

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Proportionality and Similarity. Probabilitstic Modeling. Optimization modeling. Differential equation modeling.

Model Fitting. Simulation. Dynamical Systems. Similitude.

Experimental Modeling

Modeling with Systems of Differential Equations

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Design and Specifications. Control of Error. Calibration. Recording Data.

Design Issues. Amplifiers. Impedance Matching. Feedback.

Constructing Apparatus.

Modeling with Apparatus.

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Unstructured Experiments. Simple Structures. Blocks. Factorial Structures. Row-Column Designs.

People and Animals. Small Units Within Larger Units. Factor Calculus. Incomplete Blocks.

Fractional Factorials.

Latin Squares.

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Scientific Writing. Writing a Paper. Polishing. Presentations.

Electronic Publishing. Visual Aids in presentations. Motivating the Reader. Fluidity and Momentum.

Reporting on experiments, observations, or apparatus..

Reporting on theoretical or computational results.

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