Research Methods for Science 1st Edition by Michael Marder 0521145848 9780521145848

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ISBN 10: 0521145848

ISBN 13: 9780521145848

Author: Michael Marder

A unique introduction to the design, analysis, and presentation of scientific projects, this is an essential textbook for undergraduate majors in science and mathematics. The textbook gives an overview of the main methods used in scientific research, including hypothesis testing, the measurement of functional relationships, and observational research. It describes important features of experimental design, such as the control of errors, instrument calibration, data analysis, laboratory safety, and the treatment of human subjects. Important concepts in statistics are discussed, focusing on standard error, the meaning of p values, and use of elementary statistical tests. The textbook introduces some of the main ideas in mathematical modeling, including order-of-magnitude analysis, function fitting, Fourier transforms, recursion relations, and difference approximations to differential equations. It also provides guidelines on accessing scientific literature, and preparing scientific papers and presentations. An extensive instructor’s manual containing sample lessons and student papers is available at www.cambridge.org/Marder.

Research Methods for Science 1st Table of contents:

1. Curiosity and research

1.1 Course goals

1.2 Kinds of questions

1.3 Research methods for science

1.4 Putting methods together

Assignments

2. Overview of experimental analysis and design

2.1 Hypothesis-driven experiments

2.2 Measuring values

2.3 Improving experiments

2.4 Safety and ethics

Assignments

3. Statistics

3.1 Motivations for statistics

3.2 Reducing many numbers to few

3.3 Probability distributions

3.4 Connecting data and probability distributions

3.5 What happens to averages as N increases

3.6 Central Limit Theorem

3.7 Comparing many experimental measurements

3.8 Data with many values of independent variable

3.9 Other statistical tests

Assignments

4. Mathematical models

4.1 Ingredients of mathematical modeling

4.2 Estimation

4.3 Linear regression

4.4 Matching arbitrary functions to data

4.5 Fourier transforms

4.6 Deterministic modeling

Assignments

5. Scientific information

5.1 Introduction

5.2 Writing a proposal

5.3 Writing scientific papers

5.4 Scientific figures

5.5 Giving scientific presentations

5.6 Searching for scientific information

5.7 Obtaining scientific articles

5.8 Reading scientific papers

5.9 Final words

Assignments

Appendix A: Spreadsheets for basic scientific computation

A.1 Spreadsheet programs

A.2 Basic program features

A.3 Built-in functions

A.4 Charts

Assignments

Appendix B: Extract from Galileo’s Two New Sciences

Appendix C: Safety in the laboratory

C.1 Safety contract

C.2 Chemical safety forms

Appendix D: Grading rubrics

D.1 Written presentation

D.2 Oral presentation

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Tags: Michael Marder, Research, Methods, Science