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

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Published: Sep 1, 2016

Last Modified: Jul 8, 2024