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Appendix_III_MathCamp_v04_SS09

# Appendix_III_MathCamp_v04_SS09 - Math Camp for MCB 120L...

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Math Camp for MCB 120L Larry Morand Introduction Math Camp: Practical Computations and Concepts for the Biochemistry Lab, MCB 120L Math Camp supplements the work in MCB 120L by providing straight forward examples on approaching computations and for thinking like a practicing biochemist. Students arrive in MCB 120L with different levels of lab experiences and practical competence. Consequently, some students will not need to review any of these topics, while others may need to review all of them; it is expected that most students will find some use for Math Camp. The topics included in Math Camp are not exhaustively covered nor broadly applied. The topics are decidedly terse to help develop a way of thinking. Students should avoid merely placing these pages in a notebook as reference for later; there is a huge difference between being familiar with a subject and understanding a subject; or between memorizing equations and being proficient at problem solving. Thus, Math Camp is to give students clear expectations of the practical quantitative skills needed for MCB 120L and for future work. Topics I. Concentrations II. Dilutions A. Straight Dilutions B. Serial Dilutions 1. Factors 2. Scaling 3. Working Stock a. General b. Preparation of Standard Curves C. Mixtures 1. Mixtures a. Reaction Mixtures b. Reaction Mix Cocktails 2. The X -factor D. Dilution Factors III. Statistics A. Simple Descriptive Statistics 1. Mean 2. Standard Deviation 3. Data: “The Good, The Bad, and The Ugly” a. Accepting and Rejecting Data B. MS Excel 1. Simple Descriptive Statistics IV. Henderson-Hasselbalch Equation: the many ways of calculating the concentrations of conjugate acid and conjugate base A. moles 1. ratio analysis 2. algebraic determination – 2 equations, two unknowns B. concentrations 1. ratio analysis 2. algebraic determination – 2 equations, two unknowns 1

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Math Camp for MCB 120L Larry Morand V. Significant Figures A. Rules of Thumb VI. Analytical Treatment of Kinetic Data A. IU: μmol product per minute B. Spectrophotometric determination of reaction rates C. Specific Activity: IU/ mg protein D. Turnover Number of an Enzyme: min –1 I. Concentrations Biochemistry most often works directly with concentrations of chemical species rather than converting concentrations into moles. Many measurements in biochemistry are dependent on concentrations, not mass, such as absorbance of light and reaction rates of enzymes. Reagents for assays, reaction components, and solutions of any kind, are usually mixtures made to a defined final volume, thus each chemical species has a final concentration in a mixture. It is important for students of biochemistry, cell biology, molecular biology, etc, to be adept at working with concentrations. IA. Units of concentration Units most often used are mass per volume, or moles per volume. Mass per volume is typically expressed as grams (g), milligrams (mg), micrograms (μg) or nanograms (ng), per liter (L), milliliter (ml) or microliter (μl). Moles per volume is typically expressed as molar (M), millimolar (mM), micromolar (μM) and nanomolar (nM). Since these values must be in the same units to make
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