Section links/Section 101/Lecture slides
From UBCMATH WIKI
I will post lecture slides after class. The links below that are blue have been posted. The red links are not yet posted. The "Screen" version shows every stage of the slides, as shown in class. The "Print" version is not great for actual printing (many slides are white on dark grey) but are smaller files with all stages collapsed into a single page (sometimes with overlapping text).
| Lecture | Screen version | "Print" version | ||
|---|---|---|---|---|
| Week 1 | Lecture 1 - Sep 3 | Intro to MATH 102, Shapes of cells | ||
| Lecture 2 - Sep 5 | Shapes of cells, asymptotics (when x is small/large) | |||
| Week 2 | Lecture 3 - Sep 8 | Graphing simple polynomials, Hill functions | ||
| Lecture 4 - Sep 10 | Secant lines, tangent lines and the derivative | |||
| Lecture 5 - Sep 12 | Limits and continuity | |||
| Week 3 | Lecture 6 - Sep 15 | Differentiability, tangent lines and sketching f'(x) given f(x) | ||
| Lecture 7 - Sep 17 | Sketching f'(x) given f(x) | |||
| Lecture 8 - Sep 19 | Power, product and quotient rules, antiderivatives of power functions | |||
| Week 4 | Lecture 9 - Sep 22 | Tangent line problems | ||
| Lecture 10 - Sep 24 | Linear approximation and Newton's method | |||
| Lecture 11 - Sep 26 | Increasing, decreasing, critical points. First and second derivative test. | |||
| Week 5 | Lecture 12 - Sep 29 | Concavity and inflection points. | ||
| Lecture 13 - Oct 1 | pdf 1,pdf 2 | Critical points, inflection points - summary. Examples. | ||
| Lecture 14 - Oct 3 | pdf 1,pdf 2 | Graphing (using the type of analysis covered in the last 3 lectures). Absolute extrema. | ||
| Week 6 | Lecture 15 - Oct 6 | Optimization (goat, Kepler). | ||
| Lecture 16 - Oct 8 | Foraging | |||
| Lecture 17 - Oct 10 | ||||
| Week 7 | Lecture 18 - Oct 15 | Best fit models y=ax, y=ax+b. | ||
| Lecture 19 - Oct 17 | Composition of functions, chain rule, related rates. | |||
| Week 8 | Lecture 20 - Oct 20 | Related rates and implicit differentiation | ||
| Lecture 21 - Oct 22 | Power rule for x^{m/n} (implicit diff), review and derivative of exponential function. | |||
| Lecture 22 - Oct 24 | Review and derivative of ln(x) | |||
| Week 9 | Lecture 23 - Oct 27 | 10am (S101) | 1pm (S103) | MATH 599 Guest lecture slides |
| Lecture 24 - Oct 29 | Translating from word problem to IVP, solving y'=a-by | |||
| Lecture 25 - Oct 31 | Solving y'=a-by, intro to the Halloween murder case. | |||
| Week 10 | Lecture 26 - Nov 3 | Murder mystery on Halloween | ||
| Lecture 27 - Nov 5 | Euler's method | |||
| Lecture 28 - Nov 7 | pdf, excel | Euler's method spreadsheet. Qualitative analysis of DEs. | ||
| Week 11 | Lecture 29 - Nov 10 | Qualitative analysis of DEs. Slope fields, phase line (state space), stability of steady states (continued from last lecture). | ||
| Lecture 30 - Nov 12 | Qualitative analysis of DEs continued. | |||
| Lecture 31 - Nov 14 | The many faces of the logistic equation. | |||
| Week 12 | Lecture 32 - Nov 17 | A real-life optimization problem. | ||
| Lecture 33 - Nov 19 | Trigonometry review | |||
| Lecture 34 - Nov 21 | Trigonometry review and rhythmic processes | |||
| Week 13 | Lecture 35 - Nov 24 | Rhythmic process example. Derivatives of sin/cos. | ||
| Lecture 36 - Nov 26 | Trigonometry derivatives and related rates. | |||
| Lecture 37 - Nov 28 | Inverse trig functions and their derivatives. |
