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Fall 2016: MAT A29 Calculus I for Life Sciences

These notes were pulled from an old archival copy.

They are served as is for reference purposes.

This is one of the first courses that I ever taught!

• Week 1
  • quadratic functions
  • parabolas
  • factoring
  • quadratic formula
• Week 2
  • angles
  • radians and degrees
  • visual angles
  • special triangles
  • Pythagorean identity
  • unit circle
• Week 3
  • limits
  • continuity
  • sin(x)/x
  • existence of limits
  • limit principles
  • continuity principles
  • piecewise functions
• Week 4
  • average rate of change
  • instant rate of change
  • derivatives
  • scaling
  • the power rule
  • quotient rule
• Week 5
  • increasing
  • decreasing
  • critical points
  • relative maxima and maxima
  • first derivative test
  • curve sketching table
  • concave up and down
  • second derivative test
  • point of inflection
  • limits of rational functions
  • vertical asymptotes
  • horizontal asymptotes
  • oblique asymptotes
• Week 6
  • curve sketching
• Week 7
  • optimization
  • end points
  • implicit differentiation
  • related rates
  • the sliding ladder problem
• Week 8
  • exponential functions
  • population growth
  • logarithms
  • properties of logarithms
  • Ebbinghaus learning model
• Week 9
  • solving logarithmic equations
  • exponential decay
  • radioactive decay
  • radio carbon dating
  • semi-log graphing
  • log-log graphing
• Week 10
  • integration
  • anti-derivatives
  • integrating polynomials
  • summation notation
• Week 11
  • Riemann sums
  • definite integrals
  • indefinite integrals
  • fundamental theorem of calculus
  • integration by substitution
• Week 12
  • integration by parts
  • iterated integration by parts
  • partial fractions
  • cross-sectional area

Published: Sep 1, 2016 @ 11:28.
Last Modified: Jul 8, 2024 @ 12:44.

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