Dr Paul May - 1S Lecture Course 1997-8

Chemistry 1S - Basic Calculus for Chemists

Dr Paul May, paul.may@bris.ac.uk, July 1997.

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.
• Handout 1
• Handout 2

• Tutorial 1 Questions and Answers
• Tutorial 2 Questions and Answers
• Tutorial 3 Questions and Answers
• Tutorial 4 Questions and Answers

• Mid-term test - Questions and Answers
• End of term test - Questions and Answers

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