Chemistry 1S - Basic Calculus for Chemists
The following files are from my 1st year course in basic Calculus. They include all the lecture notes, tutorial questions and answers, test questions and answers, and handouts from the entire course. Note that, technically, all files are copyright © Bristol University 1996-2011, and if you are from outside Bristol you should really ask permission before copying these files.
Prof Paul May,
paul.may@bris.ac.uk.
Lecture Notes (Word files)
Course Summary
- Lecture 1: What is Calculus? Functions and Graphs.
- Lecture 2: Simple functions, graph plotting. Linear, quadratic and higher polynomials.
- Lecture 3: Basic differentiation. Graphically and analytically.
- Lecture 4: Addition rule. Negative and fractional powers of x. Calculating slopes. Turning points, maxima and minima.
- Lecture 5: Types of stationary point. Second differential and determination of the type of stationary point. Product and Quotient rules.
- Lecture 6: Function of a function (Chain rule). Exponential functions.
- Lecture 7: Variants of the exponential function. Logarithmic functions. Differentiating logs.
- Lecture 8: Trig functions, sin, cos, tan. Differentials of trig functions. Integration - obtaining areas graphically. Integration as the reverse of differentiation.
- Lecture 9: Definite and indefinite integrals. Calculating areas using integration. Integrals of common functions, exponential, log and trig functions.
Workshop questions and answers are available as Word Documents (.doc files).
January Exam Question and Answers
Summer Exam Question and Answers
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