This is a tentative schedule that may be changed based on the needs of the students, the needs of the instructor, or any unforeseen 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)

- Try WeBWorK Introduction, report issues to instructor
### Monday
#### Labor Day – no class

### Tuesday
#### 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 1

Practice activities (not graded)

- Section 2.1 exercise(s): 5, 9 - Section 2.2 exercise(s): 1, 5, 6 (degrees: ~0.017; radians: 1), 35, 37 - optional reading, Zeno's Paradox
### Wednesday
#### Limit laws
- Introduce WolframAlpha
- Limit law activity

Practice activities (not graded)

- Section 2.3 exercise(s): 9, 19, 27, 29, 31
### Thurs/Fri
#### Continuity at a number
- Point/removable discontinuity, jump discontinuity
- Substitution method for limits

Practice activities (not graded)

- Section 2.4 exercise(s): 5, 7, 17, 31
### Monday
#### Indeterminate forms
- Factoring
- Multiply by conjugate

Practice activities (not graded)

- Section 2.5 exercise(s): 1, 3, 15, 17, 49, 51
### Tuesday
#### Group quiz
- no notes
- approved calculators allowed

### Wednesday
#### Trigonometric limits
- Squeeze theorem (Desmos)

Practice activities (not graded)

- Section 2.6 exercise(s): 5, 9, 17
### Thurs/Fri
#### Limits at infinity
- multiply by "one"

Practice activities (not graded)

- Section 2.7 exercise(s): 5, 7, 9, 11, 13, 15, 21, 26 (horizontal asymptote at y=0, which f(x) crosses multiple times), 29
### Monday
#### Intermediate value theorem
- review continuous functions and basic laws
- existence of zeros; existence of sqrt(2)

Practice activities (not graded)

- Section 2.8 exercise(s): 1, 7, 13, 19
### Tuesday
#### Group quiz
- no notes
- approved calculators allowed

### Wednesday
#### Formal definition of a limit
- ε-δ definition
- Graphing calculator game

Practice activities (not graded)

- n/a
### Thurs/Fri
#### Formal definition of a limit (continued)
- finish Graphing calculator game
- algebraic examples

Practice activities (not graded)

- Section 2.9 exercise(s): 1
### Monday
#### Formal definition of a limit (continued)
- absolute value notation
- graph example
#### Definition of a derivative
- recall instantaneous rate of change
- generalize slope of tangent lines

Practice activities (not graded)

- Section 2.9 exercise(s): 5 - Section 3.1 exercise(s): 1, 3, 9, 13, 15
### Tuesday
#### Definition of a derivative
- tangent lines

Practice activities (not graded)

- Section 3.1 exercise(s): 21
### Wednesday
#### Review
- Clean out folders
- review topics

### Thurs/Fri
#### Exam
- approved calculators
- one page of notes (one-sided, handwritten)

### Monday
Discuss exam and new groups
#### Derivative as a function
- d/dx notation
- start derivative rules

Practice activities (not graded)

- Section 3.2 exercise(s): 1, 7, 9, 11, 13, 15
### Tuesday
#### Derivative as a function
- review derivative rules: constants, power rule, coefficients, e^{x}, ln(x), sum & difference
- derivative intuition: Desmos, GeoGebra
- relationship to continuity

Practice activities (not graded)

- Section 3.2 exercise(s): 5, 17, 19, 32, 33, 35, 29, 43
### Wednesday
#### Product and quotient rules
- definitions & practice

Practice activities (not graded)

- Section 3.3 exercise(s): 3, 7, 11, 19, 33, 37
### Thurs/Fri
#### Higher derivatives
- notation

Practice activities (not graded)

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

- Section 3.4 exercise(s): 21, 27
### Monday
#### Rates of change
- continue activity (Desmos)
- other rates of change

Practice activities (not graded)

- Section 3.4 exercise(s): 1, 7, #### Trigonometric functions - graph intuition for sin(x) and cos(x) - methods for computing tan(x), csc(x), sec(x), cot(x)Practice activities (not graded)

- Section 3.6 exercise(s): 5, 7, 11, 17, 19
### Tuesday
#### Group quiz
- no notes
- approved calculators allowed

### Wednesday
#### Trigonometric functions
- finish methods for computing tan(x), csc(x), sec(x), cot(x)
#### Chain Rule
- decomposing functions

Practice activities (not graded)

- Section 3.7 exercise(s): 1, 3, 5, 9, 19, 31, 35, 45, 57
### Thurs/Fri
#### Implicit differentiation
- hidden chain rule
- Desmos examples
- challenge problems

Practice activities (not graded)

- Section 3.8 exercise(s): 1, 9, 15, 21, 23, 53
### Monday
#### Implicit differentiation (continued)
- inverse trig functions
- implicit differentiation with higher orders

Practice activities (not graded)

- Section 3.8 exercise(s): 31, 33
### Tuesday
#### Group quiz
- no notes
- approved calculators allowed

### Wednesday
#### Logarithmic and exponential functions
- review exponential and logarithmic rules
- limit definition of e (Desmos)
- "prove" d/dx e^x = e^x and d/dx ln(x) = 1/x
- comic

Practice activities (not graded)

- Section 3.9 exercise(s): 1, 3, 5, 11, 15, 17
### Thurs/Fri
#### Related rates
- falling ladder (Geogebra)
- group exercises

Practice activities (not graded)

- Section 3.10 exercise(s): 1, 3, 5, 7 - read relating those rates
### Monday
#### Related rates (continued)
- group exercises

Practice activities (not graded)

- Section 3.10 exercise(s): 9, 13, 15, 17
### Tuesday
#### Linearization
- locally linear using Desmos
- review tangent lines
- differentials

Practice activities (not graded)

- Section 4.1 exercise(s): 21, 25, 27, 33, 57, 59, 61
### Wednesday
#### Review
- Clean out folders
- review topics

### Thurs/Fri
#### Exam
- approved calculator
- one page of notes (one-sided, handwritten)

### Monday
Discuss exam, new groups
#### Extrema
- vocabulary: global/absolute, local/relative (Desmos)
- critical numbers (aka. critical points) when f'(x) = 0 or DNE
- global test
- 1st derivative (local) test

Practice activities (not graded)

- Section 4.2 exercise(s): 1, 3, 5 - discover local extrema - extrema introduction
### Tuesday
#### Extrema (continued)
- concavity, 2nd derivative test

Practice activities (not graded)

- Section 4.2 exercise(s): 21, 22, 41 - Section 4.4 exercise(s): 3, 5, 13
### Wednesday
#### Mean value theorem
- MVT demo (Desmos)
- MVT practice
- MVT checker (Desmos)
- Rolle's theorem (from 4.2)

Practice activities (not graded)

- Section 4.3 exercise(s): 1, 5
### Thurs/Fri
#### Mean value theorem (continued)
- MVT application
- MVT checker (Desmos)
- Rolle's theorem (from 4.2)
#### L'Hopital's rule

Practice activities (not graded)

- Section 4.5 exercise(s): 1, 9, 11, 15, 27
### Monday
#### Graph sketching
- inflection points
- sketching: domain, intercepts, f', f'', asymptotes, holes

Practice activities (not graded)

- Section 4.6 exercise(s): 1, 7, 12 (f'=0 has no solutions; f''=0 has one solution at x=1, where f'' changes signs), 15
### Tuesday
#### Group quiz
- no notes
- approved calculators allowed

### Wednesday
Finish sketching
#### Applied optimization
- optimization problems

Practice activities (not graded)

- Section 4.7 exercise(s): 1
### Thurs/Fri
#### Applied optimization (continued)
- optimization problems

Practice activities (not graded)

- Section 4.7 exercise(s): 3, 5, 7, 13
### Monday
#### Sigma notation
- review Σ notation
- introduce induction

Practice activities (not graded)

- Section 5.1 exercise(s): 23, 25, 29 - try induction problems - read Appendix C theorem 1 - try Appendix C exercise(s): 3
### Tuesday
#### Group quiz
- no notes
- approved calculators allowed

### Wednesday
Finish sum of squares
#### Computing area
- geometric areas
- areas using rectangles (Desmos)

Practice activities (not graded)

- Section 5.1 exercise(s): 3
### Thurs/Fri
#### Computing area (continued)
- Riemann sums (Desmos)

Practice activities (not graded)

- Section 5.1 exercise(s): 5, 11, 15, 17
### Monday
#### Review
- Clean out folders
- review topics
- review proof by induction

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

### Wednesday
#### Thanksgiving break – no class

### Thurs/Fri
#### Thanksgiving break – no class

### Monday
Discuss exams and new groups
#### Definite integral
- infinite Riemann sums (Desmos)
- integral notation

Practice activities (not graded)

- Section 5.2 exercise(s): 11a
### Tuesday
#### Definite integral
- signed area (Desmos)
- properties

Practice activities (not graded)

- Section 5.2 exercise(s): 1, 3, 5, 7, 9, 11b, 13, 19, 61, 63
### Wednesday
#### Indefinite integral
- anti-derivatives
- notation and examples

Practice activities (not graded)

- Section 5.3 exercise(s): 1, 3, 5, 7, 11, 13, 23, 25, 63
### Thurs/Fri
#### Fundamental theorem of calculus, part 1
- initial condition problems
- how are definite integrals and anti-derivatives related?

Practice activities (not graded)

- Section 5.4 exercise(s): 1, 5, 9, 13, 23, 33
### Monday
#### Fundamental theorem of calculus, part 2
- derivative of an integral
- the return of hidden chain rules

Practice activities (not graded)

- Section 5.5 exercise(s): 5, 7, 21, 29, 33, 35
### Tuesday
#### Group quiz
- no notes
- approved calculators allowed

### Wednesday
#### Integration with substitution
- chain rules for antiderivatives

Practice activities (not graded)

- Section 5.7 exercise(s): 3, 5, 7, 29, 81, 89, 91, 95
### Thurs/Fri
#### Net change
- distance vs displacement
- fnInt(function, X, lower, upper)
- ask for review topics

Practice activities (not graded)

- Section 5.6 exercise(s): 1, 5, 9 - sample final posted to Canvas
### Monday
student evaluations
#### Review
- sample final posted to Canvas
- sample final problems: 43, 37, {2, 3, 4}, {7, 8, 9}, 38, 12, {19, 20, 21, 22}, {27, 30}, 11, 6
- extra: solve #42 with Riemann sums as \(n \to \infty \)

answer will be \(\frac{488}{3} \) - extra: derivative of \( 2 \cdot 3^{5x} \)

answer will be \( 10 \cdot \ln(3) \cdot 3^{5x} \) - review topics

answer will be \(\frac{488}{3} \) - extra: derivative of \( 2 \cdot 3^{5x} \)

answer will be \( 10 \cdot \ln(3) \cdot 3^{5x} \) - review topics

Practice activities (not graded)

- see "final review" in WeBWorK
### Tuesday
#### Review
- sample final posted to Canvas
- review topics

Practice activities (not graded)

- see "final review" in WeBWorK
### Final exam
- graphing calculator
- 1 page notes (2-sided, handwritten)
- Google search: calculus exams