# Course calendar

From UBCMATH WIKI

Abbreviations:

- OSH: Old-School Homework. Apply principals from class to solve contextual problems. Practice thinking critically and creatively.
- WW: WeBWorK weekly assignments.
- PL: Pre-Lecture WeBWorK assignments. Read the text
**before**class to prepare; answer questions in WeBWorK based on your reading. - WW CL: WeBWorK course logistics assignment
- WW DT: WeBWorK diagnostic test

Date | What's due | Lecture topic | Course notes | Videos | |
---|---|---|---|---|---|

Week 1 | Sep 5 | Cell size: volume, area. Power functions. | Sec 1.1-1.2 | video link | |

Sep 7 | Power functions (cont). Sketching simple polynomials (y=x^3-ax). | Sec 1.1, 1.4,1.6 | video link | ||

Week 2 | Sep 10 | WW CL | Sketching simple polynomials (cont). Rational functions, Michaelis-Menten and Hill functions, “limits” at infinity. | Sec 1.4, 1.5 | video link |

Sep 11 | PL2.1 | ||||

Sep 12 | OSH 0 | Average rate of change and secant lines. Definition of the derivative. Instantaneous rate of change. | Sec 2.2-2.5 | video link | |

Sep 13 | PL2.2 | ||||

Sep 14 | OSH 1 | Limits and continuity, examples. One example of computing derivative of $y=c t^2$ from the definition. | Sec 2.5, 3.2, Appendix D. | video link | |

Sep 16 | WW DT | ||||

Week 3 | Sep 17 | PL3.1 | Derivatives: analytic, and geometric (zoom in on a point). Sketching $f'(x)$ given $f(x)$ (intro). | Sec 3.1-3.2 | video link |

Sep 19 | PL3.2 | Derivatives (cont): computational (spreadsheet example in class). More examples of sketching $f'(x)$ given $f(x)$ (intro). | Sec 3.2-3.3 | video link | |

Sep 20 | WW 2 | ||||

Sep 21 | Rules of differentiation: Power rule, sum rule, product rule. | Sec 4.1 | video link | ||

Week 4 | Sep 24 | PL4.1 | Chain rule (intro) and quotient rules. Antiderivatives of power functions and applications. | Sec 4.1-4.2 | video link |

Sep 26 | PL4.2 | Sketching $f(x)$ given $f'(x)$ (intro using polynomial). Tangent lines. | sec 4.3, 5.1-5.2 | video link | |

Sep 27 | WW 3 | ||||

Sep 28 | OSH 2 | Linear approximation. Newton’s method (intro). | Sec 5.3-5.5 | video link | |

Week 5 | Oct 1 | PL5.1 | Newton’s method (examples). Sketching the graph of a function using calculus tools: increasing, decreasing, critical points, concavity and inflection points. | Sec 6.1-6.3 | video link |

Oct 3 | PL5.2 | Sketching (cont). | Sec 6.1-6.3 | video link | |

Oct 4 | WW 4 | ||||

Oct 5 | Sketching (cont). | Sec 6.1-6.3 | video link | ||

Week 6 | Oct 8 | THANKSGIVING - no classes. | |||

Oct 10 | PL6.2 | Absolute (global) extrema. Optimization, examples. | Sec 6.3.1, 7.1-7.3 | video link | |

Oct 11 | WW 5 | ||||

Oct 12 | OSH 3 | Kepler's wedding. | Sec 7.2 | video link | |

Week 7 | Oct 15 | PL7.1 | Optimal Foraging - an optimization problem emphasizing biological interpretation. | Sec 7.4 | video link |

Oct 17 | PL7.2 | Least Squares - minimizing residuals to find the best fitting model for a set of data points: (1) $y=$constant and (2) $y=ax$. | Supplement | video link | |

Oct 18 | WW 6 | ||||

Oct 19 | OSH4 | Least Squares spreadsheet demo. Chain Rule: examples, applications to optimization problems. | Supplement, Chap 8 | video link | |

Week 8 | Oct 22 | PL8.1 | Related Rates. | Sec 9.1 | video link |

Oct 24 | PL8.2 | Implicit differentiation | Sec 9.2 | video link
| |

Oct 25 | MIDTERM | Midterm information | |||

Oct 26 | WW 7 | Exponential functions: intro and motivation, derivative of exponential functions. | Sec 10.1-10.2 | video link | |

Week 9 | Oct 29 | PL9.1 | Inverse functions and logarithm, applications of logs. | Sec 10.3-10.4 | video link |

Oct 31 | PL9.2 | Exponential growth and decay, intro to differential equations, population growth and/or other examples. | Sec 11.1; 11.2 or 11.3 | video link | |

Nov 1 | WW 8 | ||||

Nov 2 | Introduction to nonlinear ODEs, qualitative analysis. | Sec 13.1 | |||

Week 10 | Nov 5 | PL10.1 | Slope fields with logistic equation as example. | Sec 13.2 | video link |

Nov 7 | PL10.2 | State-space diagrams and examples (logistic). | Sec 13.2 | video link | |

Nov 8 | WW 9 | ||||

Nov 9 | OSH 5 | Solving differential equations of the type $dy/dt=a-by$. | |||

Week 11 | Nov 12 | Remembrance Day. University closed. | Sec 12.1-12.3 | video link | |

Nov 13 | PL11.1 | Sec 12.1-12.3 | video link | ||

Nov 14 | PL11.2 | Solving differential equations of the type $dy/dt=a-by$ (cont). Newton's Law of Cooling. | Sec 12.3 | video link | |

Nov 15 | WW 10 | ||||

Nov 16 | Solving differential equations approximately using Euler's Method. | Sec 12.4 | |||

Week 12 | Nov 19 | PL12.1 | Disease dynamics. | Sec 13.3 | video link |

Nov 21 | PL12.2 | Introduction to Trigonometric Functions. | Sec 14.1-14.2 | video link | |

Nov 22 | WW 11 | ||||

Nov 23 | OSH6 | Trigonometric Functions and cyclic processes, phase, amplitude, etc. (fitting a sin or cos to a cyclic process), Inverse trig functions. | Sec 14.2-14.3 | video link | |

Week 13 | Nov 26 | PL13.1 | Derivatives of trig functions, related rates examples. | Sec 15.1-15.2 | video link |

Nov 28 | PL13.2 | The Escape Response and inverse trig functions. | Sec 15.3 | video link | |

Nov 29 | WW 12 | ||||

Nov 30 | Complete and/or review trig. | ||||

WW 13 | The final WeBWorK assignment will be due during the week following the end of classes. |