BMA Calculus

Work to be done before arriving at school:

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09/01/15 Tuesday Ch. 1

In Class: Class Rules and Expectations; Start problems in 1.1

Homework:

09/02/15 Wednesday Ch. 1

In Class: Whole class discussion of domain and range, Small group problem solving 1.1.

Homework:

09/03/15 Thursday Ch. 1

In Class: Whole class matching exponential functions to their graphs, Small group 1.2.

Homework:

09/04/15 Friday Ch. 1

In Class: Whole class discussion of shifts, stretches, symmetries and inverses.

Homework:

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09/08/15 Tuesday Ch. 1

In Class: Whole class questions on sections 1.1, 1.2, 1.3, Small group work.

Homework:

09/09/15 Wednesday Ch. 1

In Class: Whole class exponent and log rule fiesta, Small group 1.4.

Homework:

09/10/15 Thursday Ch. 1

In Class: Whole class unit circle, Whole class problem solving 1.5.

Homework:

09/11/15 Friday Ch. 1

In Class: Whole class recognizing graphs of common functions.

Homework:

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09/15/15 Tuesday Ch. 1

In Class: Whole class questions on 1.4, 1.5, 1.6

Homework:

B: Definition of the derivative. (YouTube Link)

C: Developing the power rule for taking derivatives. (YouTube Link)

D: Example of taking the derivative of 1/x. (YouTube Link)

E: Example showing how to take the derivative of sin(x). (YouTube Link)

09/16/15 Wednesday Ch. 2

In Class: Small Group work Section 2.1

Homework:

G: Comparing graphs of functions and their derivatives. (YouTube Link)

H: Graphing the 2nd derivative with the 1st derivative & f(x). (YouTube Link)

09/17/15 Thursday Ch. 2

In Class: Whole class work on Difference Quotient (Definition of the Derivative)

Homework:

J: Using a graph of f'(x) to construct a graph of f(x). (YouTube Link)

K: The price of Oreos to generate a graph of the derivative. (YouTube Link)

L: A graph of the derivative in order to generate a graph of f(x). (YouTube Link)

09/18/15 Friday Ch. 2

In Class: Drawing squiggles and other squiggles that are the derivatives of the first squiggles.

Homework:

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09/22/15 Tuesday Ch. 2

In Class: Small group work.

Homework:

09/23/15 Wednesday Ch. 2

In Class: Squiggles that are the second derivatives of other squiggles.

Homework:

09/24/15 Thursday Ch. 2

In Class: Whole class questions.

Homework:

09/25/15 Friday Ch. 2

In Class: Small group work.

Homework:

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10/06/15 Tuesday Ch. 2

In Class: Whole class questions, recap, review of ch. 2 and preview of ch. 3

Homework:

B: Derivative Rules: The power rule. (YouTube Link)

C: What is e, beyond 2.71828..., the exponential number. (YouTube Link)

D: Derivatives rules: exponential functions. (YouTube Link)

10/07/15 Wednesday Ch. 3

In Class: Small group work on chapter 3.

Homework:

F: Derivative Rules: trigonometric functions. (YouTube Link)

G: Derivative Rules: Trigonometric Functions. (YouTube Link)

H: Derivative Rules: The Product Rule. (YouTube Link)

I: Derivative Rules: The quotient rule. (YouTube Link)

10/08/15 Thursday Ch. 3

In Class: Whole class worksheet on Power Rule and misc. derivative memorization.

Homework:

K: Derivative Rules: Implicit Differentiation. (YouTube Link)

L: Derivative Rules: Inverse Functions. (YouTube Link)

M: Derivative Rules: All of them very fast. (YouTube Link)

N: Chain Rule fast method. (YouTube Link)

O: Product Rule very fast. (YouTube Link)

P: Deriving the Power Rule, Binomial Theorem (YouTube Link)

10/09/15 Friday Ch. 3

In Class: Small Group Work.

Homework:

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10/13/15 Tuesday Ch. 3

In Class: Whole class worksheet on Chain Rule.

Homework:

10/14/15 Wednesday Ch. 3

In Class: Small Group Work

Homework:

10/15/15 Thursday Ch. 3

In Class: Whole class worksheet on Product Rule.

Homework:

10/16/15 Friday Ch. 3

In Class: Whole Class Questions.

Homework:

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10/20/15 Tuesday Ch. 3

In Class: Small Group Work.

Homework:

B: Max, min and point of inflection of a cubic equation. (YouTube Link)

C: 1st & 2nd derivatives to find max, min & point of inflection. (YouTube Link)

10/21/15 Wednesday Ch. 4

In Class: Small Group Work

Homework:

E: Applying Calculus to the Normal Distribution. (YouTube Link)

F: Business Calculus, how to make money knitting sweaters. (YouTube Link)

10/22/15 Thursday Ch. 4

In Class: Whole Class Discussion: Global Versus Local Max and Min, Temp-Logger Intro

Homework:

H: Using Calculus to find the quickest path in Orienteering. (YouTube Link)

I: Using Calculus on the Doppler Effect and the Cosine Effect. (YouTube Link)

J: Related Rates, how fast does a cone of gravel grow over time (YouTube Link)

K: Using Calculus on a moving shadow under a streetlight. (YouTube Link)

10/23/15 Friday Ch. 4

In Class: Small Group Work

Homework:

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10/27/15 Tuesday Ch. 4

In Class: Analyze Temperature Logger Data, Whole Class Discussion: Classes of Functions.

Homework:

10/28/15 Wednesday Ch. 4

In Class: Small Group Work

Homework:

10/29/15 Thursday Ch. 4

In Class: Related Rates Hands-on Activities

Homework:

10/30/15 Friday Ch. 4

In Class: Small Group Work, Preview the November Assignment

Homework:

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11/30/15 Monday Ch. 4, November Assignment

In Class: Whole class wrap-up & recap of November Assignment and Ch. 4.

Homework:

B: Riemann Sums, Area under a curve, intro to the integral. (YouTube Link)

C: Riemann Sums and motion with constant acceleration. (YouTube Link)

12/02/15 Wednesday Ch. 5

In Class: Introduction to Integration

Homework:

E: Distance traveled by a ball accelerating to terminal velocity. (YouTube Link)

F: Preview of tricks and rules of integration. (YouTube Link)

12/04/15 Friday Ch. 5

In Class: Small Group Work

Homework:

H: Using Integration to find the average value of a function. (YouTube Link)

I: Symmetry in integrals, negative area, odd & even functions. (YouTube Link)

J: A closer look at definite integration. (YouTube Link)

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12/07/15 Monday Ch. 5

In Class: Whole Class doing Riemann Sums problems in spreadsheets. You must bring your computer to class!

Homework:

12/09/15 Wednesday Ch. 5

In Class: Small Group Work.

Homework:

12/11/15 Friday Ch. 5

In Class: Finding area with papers, scissors and scale.

Homework:

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12/14/15 Monday Ch. 5

In Class: Whole class questions.

Homework:

12/16/15 Wednesday Ch. 5

In Class: Whole class work on average value problems.

Homework:

XXX Ch. 5

In Class: Small Group Work

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12/28/15 Monday Ch. 6

In Class: Slope Field Day 1

Homework:

B: Slope fields used to construct anti-derivatives. (YouTube Link)

12/30/15 Wednesday Ch. 6

In Class: Slope Field Day 2; Followed by Small Group Work

Homework:

D: Finding integrals with spreadsheets, Riemann Sums. (YouTube Link)

E: Riemann Sums, area under the curve, continued. (YouTube Link)

F: Power Rule for finding anti-derivatives. (YouTube Link)

01/01/16 Friday Ch. 6

In Class: 372nd Annual Anti-Derivative Festival and Parade.

Homework:

H: Super Basic Differential Equation Example. (YouTube Link)

I: A note about +C in the integral. (YouTube Link)

J: A look at internet-based Integral Calculators. (YouTube Link)

K: Notes about limits of integration, definite integrals. (YouTube Link)

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01/04/16 Monday Ch. 6

In Class: Small Group Work

Homework:

Definite Integral Calculator: Wolfram; Solve My Math

01/06/16 Wednesday Ch. 6

In Class: Riemann Sums Again, Online Integral Calculators: bring computers to class!

Homework:

01/08/16 Friday Ch. 6

In Class: Whole Class Questions

Homework:

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01/11/16 Monday Ch. 6

In Class: Last day on Chapter 6, Small Group Work.

Homework:

B: Integration by Substitution Worked Examples (YouTube Link)

C: Common Mistake in Integration by Substitution (YouTube Link)

D: Advanced example of Integration by Substitution (YouTube Link)

E: Introduction to Integration by Parts (YouTube Link)

F: Integration by Parts worked examples (YouTube Link)

01/13/16 Wednesday Ch. 7

In Class: Whole Class Integration by Substitution Day 1 of 2

Homework:

H: Intro to Integration by Partial Fractions (YouTube Link)

I: Integration by Partial Fractions Examples (YouTube Link)

J: More Integration by Partial Fractions rules. (YouTube Link)

01/15/16 Friday Ch. 7

In Class: Whole Class Integration by Parts Day 1 of 2

Homework:

L: Integration by Trigonometric Substitution Examples (YouTube Link)

M: Advanced Integration by Trig Substitution (YouTube Link)

N: Intro to Improper Integrals (YouTube Link)

O: Online, Web-based Integral Calculators (YouTube Link)

P: Improper Integrals, Singularities Hidden In Limits. (YouTube Link)

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01/18/16 Monday Ch. 7

In Class: Small Group Work

Homework:

01/20/16 Wednesday Ch. 7

In Class: Whole Class Integration by Trigonometric Substitution

Homework:

01/22/16 Friday Ch. 7

In Class: Whole Class Improper Integrals Day 1 of 2

Homework:

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01/25/16 Monday Ch. 7

In Class: Small Group Work

Homework:

01/27/16 Wednesday Ch. 7

In Class: Whole Class Integration by Substitution Day 2 of 2

Homework:

01/29/16 Friday Ch. 7

In Class: Whole Class Integration by Parts Day 2 of 2

Homework:

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02/01/16 Monday Ch. 7

In Class: Whole Class Improper Integrals Day 2 of 2

Homework:

B: Using integration to derive the volume of a sphere (YouTube Link)

C: Using integration to derive the volume of an ellipsoid (YouTube Link)

02/03/16 Wednesday Ch. 8

In Class: Curve Length Hands-On Activity

Homework:

E: Calculating the length of a curve (YouTube Link)

F: Calculating the surface area of a revolved function (YouTube Link)

G: Disk Method, volume of a revolved function f(x) around x (YouTube Link)

02/05/16 Friday Ch. 8

In Class: Disk Method Hands-On Activity Link To Google-Spreadsheet

Homework:

I: Converting between rectangular and polar coordinates (YouTube Link)

J: Area in polar coordinates (YouTube Link)

K: Curve length in polar coordinates (YouTube Link)

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02/08/16 Monday Ch. 8

In Class: Whole Class Problem Solving: Disk Method

Homework:

02/10/16 Wednesday Ch. 8

In Class: Shell Method Hands-On Activity Link To Google-Spreadsheet

Homework:

02/12/16 Friday Ch. 8

In Class: Whole Class Problem Solving: Shell Method

Homework:

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02/22/16 Monday Ch. 8

In Class: Whole Class Problem Solving: Surface Area of Revolved Function

Homework:

02/24/16 Wednesday Ch. 8

In Class: Small Group Work

Homework:

02/26/16 Friday Ch. 8

In Class: Small Group Work

Homework:

B: Slope Fields applied to Differential Equations (YouTube Link)

C: Computer Generated Slope Fields (YouTube Link)

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02/29/16 Monday Ch. 11

In Class: Extremely Basic Differential Equations, and Exponential Functions.

Homework:

E: Separable Differential Equations (YouTube Link)

F: A note on domain and range in Differential Equations (YouTube Link)

03/02/16 Wednesday Ch. 11

In Class: Slope Field Revisited Day 1

Homework:

H: Second Order Homogeneous Linear Differential Equations (YouTube Link)

I: 2nd Order Non-Homogeneous Linear Differential Equations (YouTube Link)

03/04/16 Friday Ch. 11

In Class: Euler's Method Day 1 (Link to Spreadsheet)

Homework:

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03/07/16 Monday Ch. 11

In Class: Separable Differential Equations

Homework:

03/09/16 Wednesday Ch. 11

In Class: Small Group Work

Homework:

03/11/16 Friday Ch. 11

In Class: Slope Fields Day 2

Homework:

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03/14/16 Monday Ch. 11

In Class: Euler's Method Day 2 (Link to Spreadsheet)

Homework:

03/16/16 Wednesday Ch. 11

In Class: First Order Differential Equations

Homework:

03/18/16 Friday Ch. 11

In Class: Second Order Differential Equations

Homework:

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03/21/16 Monday Limits: Section 1.7

In Class: Continuity

Homework:

03/23/16 Wednesday Limits: Section 1.8

In Class: Limits

Homework:

03/25/16 Friday Limits: Section 2.6

In Class: Differentiability

Homework:

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03/28/16 Monday Limits: Section 4.7

In Class: L'Hopital's Rule

Homework:

03/30/16 Wednesday Limits: Section 7.5

In Class: Small Group Work

Homework:

04/01/16 Friday Limits: Section 7.6

In Class: Small Group Work

Homework:

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4/4/16 Monday

In Class: Chain Rule, Product Rule, Integration by Substitution, Integration by Parts

Homework: TBA

4/6/16 Wednesday

In Class: Derivative of inverse trig functions, Integration by trig substitution.

Homework: TBA

04/08/16 Friday

In Class: Integration by partial fractions.

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04/26/16 Tuesday Integrating Tables, Graphs, Formulas and Words

In Class: Introduction, setup and data collection.

Homework:

04/27/16 Wednesday Integrating Tables, Graphs, Formulas and Words

In Class: Graphing data; Discussion of the Physics; Discussion of Formulas.

Homework:

04/28/16 Thursday Integrating Tables, Graphs, Formulas and Words

In Class: Discussion of Formulas; Another round of data collection.

Homework:

04/29/16 Friday Integrating Tables, Graphs, Formulas and Words

In Class: Details: Do our results match predictions? Getting the Physics and Calculus straight in our heads.

Homework:

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UndergradWritingExample2.pdf

UndergradWritingExample3.pdf

05/03/16 Tuesday Integrating Tables, Graphs, Formulas and Words

In Class: Create an outline for the paper; Taking pictures.

Homework:

05/04/16 Wednesday Integrating Tables, Graphs, Formulas and Words

In Class: Peer editing of first draft in triads; Discussion of topic sentences.

Homework:

05/05/16 Thursday Integrating Tables, Graphs, Formulas and Words

In Class: Bootcamp for Equation editor, Graphing, Diagrams, Pictures and Tables.

Homework:

05/06/16 Friday Integrating Tables, Graphs, Formulas and Words

In Class: Peer editing next draft in triads.

Homework:

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05/10/16 Tuesday Integrating Tables, Graphs, Formulas and Words

In Class: Group A meets individually with DI. Keep writing otherwise.

Homework:

05/11/16 Wednesday Integrating Tables, Graphs, Formulas and Words

In Class: Group B meets individually with DI. Keep writing otherwise.

Homework:

05/12/16 Thursday Integrating Tables, Graphs, Formulas and Words

In Class: Group C meets individually with DI. Keep writing otherwise.

Homework:

05/13/16 Friday Integrating Tables, Graphs, Formulas and Words

In Class: Final drafts due. Post assignment debrief.

Homework: TBD

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05/17/16 Tuesday Advanced Topics TBD

In Class: TBD

Homework: TBD

05/18/16 Wednesday Advanced Topics TBD

In Class: TBD

Homework: TBD

05/19/16 Thursday Advanced Topics TBD

In Class: TBD

Homework: TBD

05/20/16 Friday Advanced Topics TBD

In Class: TBD

Homework: TBD

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05/24/16 Tuesday Presumed Senior Trip

In Class: TBD if there are students in class.

Homework: TBD if there are students in class.

05/25/16 Wednesday Presumed Senior Trip

In Class: TBD if there are students in class.

Homework: TBD if there are students in class.

05/26/16 Thursday Presumed Senior Trip

In Class: TBD if there are students in class.

Homework: TBD if there are students in class.

05/27/16 Friday Presumed Senior Trip

In Class: TBD if there are students in class.

Homework: TBD if there are students in class.

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06/01/16 Wednesday Last Week, presumably no class for seniors.

In Class: TBD if there are students in class.

Homework: TBD if there are students in class.

06/03/16 Friday Last Week, presumably no class for seniors.

In Class: TBD if there are students in class.

Homework: TBD if there are students in class.

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