Assignments for Calculus I
Instructor, Carol Schumacher
Fall, 2013
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Homework |
| Friday, August 30 | Course Procedures |
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Monday, Sept. 2 |
Building Blocks of Functions Representing Functions |
B&C Sections 1.1 and 1.2 | Online Homework: Orientation to MyMathLab |
Wednesday, Sept. 5 |
Exponential functions, Logarithmic Functions, Inverse Functions |
B&C Section 1.3 | Online Homework: Sections 1.1 and 1.2 |
Friday, Sept. 7 |
Trigonometric functions and their inverses | B&C Section 1.4 | Online Homework: Section 1.3 (Don't neglect the Functions in Action sheet! Be ready to ask questions before the weekend!) |
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Monday, Sept. 9 |
Local Linearity and Rates of Change | B&C Section 2.1 | Online Homework: Section 1.4 Written homework: Functions in Action Homework sheet. |
Wednesday, Sept. 11 |
Local linearity continued; Mark Twain's Mississippi. The Derivative as a Rate of Change Interpreting the derivative |
(Not to turn in: Practice with Maple! Get really comfortable with the exercise we were working on at the end of the hour on Monday.) | |
Friday, Sept. 13 |
The derivative function |
Online Homework: Local Linearity and rates of change Written homework: Mark Twain's Mississippi |
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Monday, Sept. 16 |
Quiz # 1---local linearity and rates of change. |
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| Wednesday, Sept. 18 | Geometry and the derivative, part I Lab: Pet Functions and their derivatives. |
Written homework: The Derivative Function Homework handout | |
| Friday, Sept. 20 | Geometry and the derivative, part II | Online Homework: Geometry and the Derivative I. |
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Monday, Sept. 23 |
Derivatives: an analytical approach. Introducing limits |
B&C: Review Section 2.1.Read Section 3.1 through pg. 129.(Stop at "Continuity.") | Written homework: Geometry and Derivatives |
Wednesday, Sept. 25 |
Limits---graphical, numerical, and symbolic | Handout---"Getting Down to Details" B&C Section 2.2 |
Be working on the Difference Quotients online assignment due Thursday night. |
Friday, Sept. 27 |
New Limits from Old | B&C Section 2.3 | Online Homework: Difference Quotients Written Homework: Computing Limits |
Monday, Sept. 30 |
Limits involving infinity | B&C Sections 2.4 & 2.5 | Online Homework: Limits, The Basics (Write down questions from reading!) |
| Continuity and Limits Differentiability and Continuity. |
B&C Section 2.6 and B&C Section 3.1 starting at "Continuity" on pg. 121 | Online Homework: Infinite Limits Written Homework: New Limits From Old. (Due at midnight.) |
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Friday, October 4 |
Indeterminate forms of limits |
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Monday, October 7 |
Rules of differentiation, part I. |
B&C Section 3.2 | Written Homework: Continuity and Limits (or the pdf version) |
Wednesday, October 9 |
Test #1 |
Online Homework: Practicing our first differentiation rules. | |
Friday, October 11 |
No class---October Break! |
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Monday, October 14 |
New Derivatives from old: Product and Quotient Rules | B&C Section 3.3 | |
Wednesday, October 16 |
Derivatives of Exponential functions. Introducing IVP's and Diffeqs Introducing Crash and Scooter. |
B&C Section 3.8 | Online Homework: Practicing Differentiation Rules, I |
Friday, October 18 |
Derivatives of Trigonometric Functions | B&C Section 3.4 | (Do as much as you can on handout: Differential Equations and Their Solutions.) |
Monday, October 21 |
The Chain Rule | B&C Section 3.6 | Written Homework: Differential Equations and Their Solutions. (Due) |
Wednesday, October 23 |
The Chain Rule as a theoretical machine: Implicit Differentiation, Derivatives of Logarithmic Functions, The relationship between the derivative of a function and the derivative of its inverse, Derivatives of inverse trig functions. |
B&C Sections 3.8 and 3.9 | Online Homework: Practicing Differentiation II and Practicing the Chain Rule |
Friday, October 25 |
Symbolic Differentiation. Bringing it all together. | (Nothing to turn in.) Practice taking Derivatives!!!! | |
Monday, October 28 |
Differentiation Gateway Exam |
Crash and Scooter "weigh in"---You should be done with all of the mathematical work on the project. | |
Wednesday, October 30 |
Modeling using differential equations---Exponential Growth and decay. Introducing the Loans and Investments Project. |
Writing Crash and Scooter project | |
| Derivatives and local extrema | B&C Sections 4.1 & 4.2 | Written homework: solving some special initial value problems. Crash and Scooter Project due |
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Monday, November 4 |
Local vs. global maxima---the importance of the Extreme Value Theorem. Applied Optimization--introduction |
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Wednesday, November 6 |
Optimization workday. | Written Homework: Finding Critical Points (handout) Online Homework: Maxima and Minima |
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Friday, November 8 |
Quiz # 2---Optimization | ||
Monday, November 11 |
Geometry of Derivatives, part III: differentiable functions and their graphs. | B&C Section 4.3 | |
Wednesday, November 13 |
Newton's Method for Finding Roots | Handout---complete prep exercises. | Online Homework: Calculus and Graphing Written homework: Rework Optimization Quiz (you are not allowed to talk to anyone by Prof. Schumacher about this.) Loans and Investments Project due (by 4 p.m.) |
Friday, November 15 |
Theoretical underpinnings: the Mean Value Theorem and its corollaries. | B&C Section 4.6 | Written Homework: Calculus and Graphing |
Monday, November 18 |
Proving the Mean Value Theorem. | Topics for Test # 2 | Newton's method lab due. (Both warmup and lab write-up). |
Wednesday, November 20 |
Test #2 |
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Friday, November 22 |
Antidifferentation workout---lots of antiderivates to practice on. (Not to turn in.) | B&C Section 4.8 | |
Thanksgiving Break |
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| Rates of change and total change. Signed area. | Online Homework: Practicing with indefinite integrals | ||
Wednesday, December 4 |
Approximating Areas under Curves and properties of the definite integral. Riemann sums: left, midpoint, right. |
B&C Sections 5.1 & 5.2 |
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Friday, December 6 |
Area Accumulation Functions Carol's notes from Riemann Sums and Sigma Notation |
Online Homework: Approximating sums. |
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Monday, December 9 |
The Fundamental Theorem of Calculus and the indefinite integral. | Written Homework: Estimating total Change. . . |
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Wednesday, December 11 |
Finish up with the Fundamental Theorem of Calculus and Area Accumulation Integration by Substitution. |
Do as much of the written homework Area Accumulation Functions and the Fundamental Theorem as possible. Come to class with questions. | |
Friday, December 13 |
Integration Practice | Written Homework: Area Accumulation Functions and the Fundamental Theorem. (Short) online Homework: Integration by substitution. |
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Final Examination |
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