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Many of the files on this site are posted in PDF format. If you have any trouble reading them, try downloading the latest version of the free
Adobe
Acrobat Reader software.
Click on the links below to obtain copies of the notes displayed using the document camera during lectures.
- Notes on functions, their representations and domains
- Notes on function notation, linear functions and polynomials
- Notes on quadratics, rational functions, composite functions and trigonometric functions
- Notes on sines and cosines and the concept of a limit
- Notes on difference quotients, tangent lines, right and left limits
- Notes on calculating limits and the Squeeze Lemma
- Notes on calculating limits involving infinity
- Notes on secant lines, tangent lines and derivatives
- Notes on calculating derivative functions, and interpreting the derivative
- Notes on drawing the graph of the derivative
- Notes on applications of derivatives, short-cut rules, the product and quotient rules
- Notes on calculating derivatives using the Chain rule
- Notes on implicit differentiation
- Notes on related rates problems
- More practice with related rates problems
- Notes on exponential functions
- Due to a malfunction in the document camera, the notes for Lecture 18 were written on the chalk board. There is no physical record of them. Instead, the handout we completed is listed below, together with some notes on the mathematics that we went through (and a great deal else besides). Note: In lecture we worked with natural logarithms, which are not mentioned in the typed notes given below. You should consult Pages 155-156 of the text if you are not familiar with natural logarithms.
- Notes on inverse functions and their derivatives
- Notes on solving equations using logarithms and the derivatives of exponential and logarithmic functions
- Notes on differential equations
- Notes on differential equations and L'Hopital's rule
- Further notes on L'Hopital's rule and Review Problem 3
- Notes on finding the global (or absolute) maximum and minimum of a function
- Notes on the First and Second derivative tests
- Conclusion of profit maximization example; notes on inflection points and curve sketching
- Notes on Curve Sketching
- A final optimization problem and Newton's Method
- Notes on the concept of an anti-derivative
- Notes on distance, velocity, acceleration and area under a curve
- Notes on left and right-hand Riemann sums
- Notes on evaluating Riemann sums with a calculator and definite integrals
- Notes on evaluating definite integrals, functions defined by integration and the Second Fundamental Theorem of Calculus
- Notes on functions defined by integration
- Notes on rules for manipulating integrals and the technique of u-substitution
- Notes on u-substitution and integration by parts
- Additional notes on integration by parts
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