This is a tentative schedule that may be changed based on the needs of the students, the needs of the instructor, or any apocalyptic events that may occur during the semester.

Thurs/Fri

#### Introductions - Assign groups - Syllabus scavenger hunt - WeBWorK check? #### Rates of change: Average vs instantaneous - Provide a story for the example - What is the slope from (0, 0) to (30, 5)? What does this slope mean in context? - What is the slope at (20, 3)? What does this slope mean in context?Practice activities (not graded)

- Read WeBWorK FAQ - Try WeBWorK Introduction, report issues to instructorMonday

#### Labor Day – no classTuesday

#### Limits - secant lines vs tangent lines: one-sided - slope of x^2 at (2,4) & limit notation - two-sided - other examples: 1, 2, 3 - Theorem 1Practice activities (not graded)

- Section 2.1: 5, 9 - Section 2.2: 1, 5, 6 (degrees: ~0.017; radians: 1), 35, 37 - optional reading, To Infinity and BeyondWednesday

#### Limit laws - Introduce Wolfram|Alpha - Limit law activityPractice activities (not graded)

- Section 2.3: 9, 19, 27, 29, 31Thurs/Fri

#### Continuity at a number - Point/removable discontinuity, jump discontinuity - Substitution method for limitsPractice activities (not graded)

- Section 2.4: 5, 7, 17, 31Monday

#### Indeterminate forms - Factoring - Multiply by conjugatePractice activities (not graded)

- Section 2.5: 1, 3, 15, 17, 49, 51Tuesday

#### Group quiz - no notes - approved calculators allowedWednesday

#### Trigonometric limits - Squeeze theorem (Desmos)Practice activities (not graded)

- Section 2.6: 5, 9, 17Thurs/Fri

#### Limits at infinity - multiply by "one"Practice activities (not graded)

- Section 2.7: 5, 7, 9, 11, 13, 15, 21, 26 (horizontal asymptote at y=0, which f(x) crosses multiple times), 29Monday

#### Intermediate value theorem - review continuous functions and basic lawsPractice activities (not graded)

- Section 2.8: 1, 7, 13, 19Tuesday

#### Group quiz - no notes - approved calculators allowedWednesday

#### Formal definition of a limit - verify limit vs. computing limit value - Graphing calculator game - ε-δ definition - algebraic examples - absolute value notationPractice activities (not graded)

- Section 2.9: 1, 9Thurs/Fri

#### Formal definition of a limit (continued) - examplesPractice activities (not graded)

- Section 2.9: 4, 5Monday

#### Definition of a derivative - discuss non-example for formal definitionPractice activities (not graded)

- Section 3.1: 1, 3, 9, 13, 15Tuesday

#### Definition of a derivative - tangent linesPractice activities (not graded)

- Section 3.1: 21Wednesday

#### Review - Clean out folders - TopicsThurs/Fri

#### Exam - approved calculators - one page of notes (1 sided, handwritten)Monday

New groups - return exam #### Derivative as a function - derivative rules: constants, power rule, coefficientsPractice activities (not graded)

- Section 3.2: 7, 9, 11, 13Tuesday

#### Derivative as a function - notation - derivative rules: e^x, ln(x), sum, difference - relationship to continuity - derivative intuition: GeoGebra, DesmosPractice activities (not graded)

- Section 3.2: 1, 3, 5, 19, 32, 33, 35, 29, 43Wednesday

#### Product and quotient rules - definitions & practicePractice activities (not graded)

- Section 3.3: 3, 7, 11, 19, 33, 37Thurs/Fri

#### Higher derivatives - notationPractice activities (not graded)

- Section 3.5: 5, 11, 13, 15, 17 #### Rates of change - rates of change - f(x) is increasing when f'(x) > 0 - f(x) is decreasing when f'(x) < 0 - geometry examples - distance, velocity (and speed), acceleration - activityPractice activities (not graded)

- Section 3.4: 1, 7, 11, 21Monday

#### Rates of change - distance vs displacement (activity) #### Trigonometric functionsPractice activities (not graded)

- Section 3.6: 5, 7, 11, 17, 19Tuesday

#### Group quiz - no notes - approved calculators allowedWednesday

#### Chain Rule - decomposing functionsPractice activities (not graded)

- Section 3.7: 1, 3, 5, 9, 19, 31, 35, 45, 57Thurs/Fri

#### Implicit differentiation - practice problemsPractice activities (not graded)

- Section 3.8: 1, 9, 15, 21, 23, 53Monday

#### Implicit differentiation (continued) - inverse trig functions - implicit differentiation with higher ordersPractice activities (not graded)

- Section 3.8: 31, 33, 77Tuesday

#### Group quiz - no notes - approved calculators allowedWednesday

#### Logarithmic and exponential functionsPractice activities (not graded)

- Section 3.9: 1, 3, 5, 11, 17Thurs/Fri

#### Related rates - examples: falling ladder - extra practice - relating those ratesPractice activities (not graded)

- Section 3.10: 1, 3, 5, 7Monday

#### Related rates (continued) - examplesPractice activities (not graded)

- Section 3.10: 9, 13, 15, 17Tuesday

#### Linear approximationPractice activities (not graded)

- Section 4.1: 13, 45, 47, 55, 57Thurs/Fri

#### Exam - approved calculator - one page of notes (1 sided, handwritten)Monday

#### Extrema - vocabulary: global/absolute, local/relative - discover local extrema and extra practice - critical numbers (aka. critical points) when f'(x) = 0 or DNE - global test - 1st derivative (local) testPractice activities (not graded)

- Section 4.2: 1, 3, 5Tuesday

#### Extrema - 2nd derivative test, concavity, inflection pointsPractice activities (not graded)

- Section 4.2: 21, 22, 41 - Section 4.4: 3, 5, 13Wednesday

#### Mean value theorem - Rolle's theorem (from 4.2) - MVT introduction (Desmos) - MVT practicePractice activities (not graded)

- Section 4.3: 1, 5Thurs/Fri

#### L'Hopital's rulePractice activities (not graded)

- Section 4.5: 1, 9, 11, 15, 27Monday

#### Graph sketching - sketching: domain, intercepts, f', f'', asymptotes, holesPractice activities (not graded)

- Section 4.6: 1, 7, 12, 15Tuesday

#### Group quiz - no notes - approved calculators allowedWednesday

#### Applied optimization - optimization problems - Geogebra examplePractice activities (not graded)

- Section 4.7: 1Thurs/Fri

#### Applied optimization (continued) - optimization problemsPractice activities (not graded)

- Section 4.7: 3, 5, 7Monday

#### Proof by induction - review Σ notation - induction introduction - Appendix C theorem 1Practice activities (not graded)

- Section Appendix C: 1Tuesday

#### Group quiz - no notes - approved calculators allowedWednesday

#### Proof by induction - continue induction introduction - Appendix C theorem 1Practice activities (not graded)

- Section Appendix C: 3Thurs/Fri

#### Computing areaPractice activities (not graded)

- Book exercises (ungraded): **5.1: 3, 15, 17, 23, 25, 29Monday

#### Review - Clean out folders - TopicsTuesday

#### Exam - approved calculator - one page of notes (1 sided, handwritten)Wednesday

#### Thanksgiving break – no classThurs/Fri

#### Thanksgiving break – no classMonday

Discuss exams / new groups #### Definite integral - notation and properties - signed areaPractice activities (not graded)

- Section 5.2: 1, 11, 13, 15, 17, 33Tuesday

#### Indefinite integral - anti-derivatives - notation and properties - initial condition problemsPractice activities (not graded)

- Section 5.3: 1, 3, 5, 7, 11, 13, 23, 25, 63Wednesday

#### Fundamental theorem of calculus, part 1Practice activities (not graded)

- Section 5.4: 1, 5, 9, 13, 23, 33Thurs/Fri

#### Fundamental theorem of calculus, part 2Practice activities (not graded)

- Section 5.5: 7, 21, 29, 31Monday

student evaluations #### Integration with substitutionPractice activities (not graded)

- Section 5.7: 3, 5, 7, 29, 81, 89, 91, 95Tuesday

#### Group quiz - no notes - approved calculators allowed ?Wednesday

#### Net changePractice activities (not graded)

- Section 5.6: 1, 5, 9Thurs/Fri

#### Miscellaneous - advanced L'Hopitals cases - sample final posted to CanvasMonday

#### Review - topics - fnInt()?Tuesday

#### Review - topics - challenging problems on sample final: 7, 12, 16, 31, 35