Note: two of these sections run on a MWF schedule

and one of the sections runs on a TuTh schedule.

For this reason, there might not be an exact day-to-day

match between the listed topics and the lectures.

However, the syllabus should be very accurate on a

week by week basis.

- review of differentiation
- 5.1-5.2: review of integration (5.1-5.2)
- 5.3-5.4: fundamental theorem of calculus
- 5.5: u-substitition

- 6.1: area under a curve
- 6.2-6.3 : volumes
- 6.5: average value of a function
- 8.1: arc length

- 7.1: integration by parts
- 7.2: trigonometric integrals

- 7.3: trig substitution
- 7.4: partial fractions

- 7.4: partial fractions
- 7.7: approximation
- 7.8: indefinite integrals

- modelling
- direction fields; Euler's method
- separable equations

- linear equations
- science applications

- 2nd order linear differential equations
- introduction to sequences

- properties of sequences
- elementary properties of series

- the integral test
- comparison tests

- alternating series
- root and ratio tests; radius of convergence

- power series
- Taylor series

- Taylor/MacLauren Theorem
- applications to differential equations

- paramatric equations
- polar coordinates

Any time left over before the final

will be dedicated to rewiew.