Assignments for Calculus I, Section 1
Instructor, Carol Schumacher
Fall, 2014
Office Hours |
Jump To: August/September, October, November, December/Finals
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Homework |
| Friday, August 29 | Course Procedures Introduction to MyMathLab Functions, calculus style! |
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Monday, Sept. 1 |
Building Blocks of Functions Representing Functions |
B&C Sections 1.1 and 1.2 | Online Homework: Orientation to MyMathLab |
Wednesday, Sept. 3 |
Exponential functions, Logarithmic Functions, Inverse Functions |
B&C Section 1.3 | |
Friday, Sept. 5 |
Trigonometric functions and their inverses | B&C Section 1.4 | (Don't neglect the Functions in Action sheet! Be ready to ask questions before the weekend!) |
| Online Homework: Sections 1.1 and 1.2 (combined homework) and Section 1.3 should (mostly) be review material. Due to difficulties with MyMathLab these will count as extra credit assignments. In order to obtain credit for them, you must complete them by 11p.m. on Sunday, Sept. 7. You may submit problems for half credit up until noon on Monday, Sept. 8. | |||
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Monday, Sept. 8 |
Local Linearity and Rates of Change | B&C Section 2.1 | Written homework: Functions in Action Homework sheet. |
Wednesday, Sept. 10 |
Local linearity continued; Mark Twain's Mississippi. The Derivative as a Rate of Change Interpreting the derivative |
(Not to turn in: Practice with Maple! Work on getting really comfortable with the tools we have learned so far.) | |
Friday, Sept. 12 |
The derivative function |
Online Homework: Local Linearity and rates of change Written homework: Mark Twain's Mississippi (In groups) |
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Monday, Sept. 15 |
Quiz # 1---local linearity and rates of change. |
Written Homework: Interpreting Derivatives Homework (in groups) | |
| Wednesday, Sept. 17 | Geometry and the derivative, part I Lab: Pet Functions and their derivatives. |
Written homework: The Derivative Function Homework handout | |
| Friday, Sept. 19 | Geometry and the derivative, part II | Online Homework: Geometry and the Derivative I. |
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Monday, Sept. 22 |
Geometry and Derivatives, continued Derivatives: an analytical approach. Introducing limits |
B&C: Review Section 2.1.Read Section 3.1 through pg. 129. (Stop at "Continuity.") | |
Wednesday, Sept. 24 |
Limits---graphical, numerical, and symbolic | Handout---"Getting Down to Details" B&C Section 2.2 |
Written homework: Geometry and Derivatives |
Friday, Sept. 26 |
Limits---graphical, numerical, and symbolic, cont. | Handout---"Getting Down to Details" (again!) | Online Homework: Difference Quotients |
Monday, Sept. 29 |
New Limits from Old |
B&C Section 2.3 | Written Homework: Computing Limits |
Wednesday, October 1 |
New limits from old, cont. Limits involving infinity |
B&C Sections 2.4 & 2.5 | ---Start working on your "New Limits From Old" homework! You will probably want to ask questions. Online Homework: Limits, The Basics (Write down questions from reading!) |
Friday, October 3 |
Continuity and Limits |
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. |
Monday, October 6 |
Differentiability and Continuity. |
Online Homework: Continuity and Limits Written Homework: Continuity and Limits |
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Test # 1 |
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Friday, October 10 |
No class---October Break! |
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Monday, October 13 |
Indeterminate forms of limits Rules of differentiation, part I. |
B&C Section 3.2 | |
Wednesday, October 15 |
More on the First Differentiation rules New Derivatives from old: Product and Quotient Rules |
B&C Section 3.3 | |
Friday, October 17 |
Derivatives of Exponential functions. |
B&C Section 3.8 | (Start working on online assignment Practicing Differentiation Rules, I) |
Monday, October 20 |
Introducing IVP's and Diffeqs Modeling using differential equations---Exponential Growth and decay. |
Online Homework: Practicing Differentiation Rules, I | |
Wednesday, October 22 |
Introducing the Loans and Investments Project. Derivatives of Trigonometric Functions The Chain rule |
B&C Section 3.4 & 3.6 | (Do at least problems 1,2,3,4,8,9 on handout: Differential Equations and Their Solutions.) |
Friday, October 24 |
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. |
B&C Sections 3.8 and 3.9 | Written Homework: Differential Equations and Their Solutions. (Due) |
Monday, October 27 |
Symbolic Differentiation. Bringing it all together ---Special Double-long period! |
Online Homework: Practicing Differentiation II and Practicing the Chain Rule Also Practice taking Derivatives!!!! |
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Wednesday, October 29 |
Differentiation Gateway Exam | ||
Friday, October 31 |
Derivatives and local extrema | B&C Sections 4.1 & 4.2 | |
| Local vs. global maxima---the importance of the Extreme Value Theorem. Applied Optimization--introduction |
Online Homework: Maxima and Minima Written Homework: Finding Critical Points (handout) Loans and Investments Project due by 9 p.m. on Tuesday, Nov 4 |
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Wednesday, November 5 |
No Class Professor Schumacher is Out of Town. Loans and Investments Project due by10 a.m. on Thursday, November 6. |
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Friday, November 7 |
Optimization workday---Special Double-Long Period! | Online Homework: Absolute Extrema | |
Monday, November 10 |
Quiz # 2---Optimization |
Written Homework: Bigger, Smaller problems due. | |
Wednesday, November 12 |
Newton's Method for Finding Roots Optimization Project Introduced: Avoiding Hurricanes Writing a Formal Mathematical Report |
Handout---complete prep exercises. | |
Friday, November 14 |
Theoretical underpinnings: the Mean Value Theorem and its corollaries. | B&C Section 4.6 | |
Monday, November 17 |
Proving the Mean Value Theorem. | Newton's method lab due. (Both warmup and lab write-up). | |
Wednesday, November 19 |
Test #2 |
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Friday, November 21 |
Antidifferentation workout---lots of antiderivates to practice on. (Not to turn in.) | B&C Section 4.9 | |
Thanksgiving Break |
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Monday, December 1 |
Rates of change and total change. Signed area. | Online Homework: Practicing with indefinite integrals | |
Wednesday, December 3 |
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 5 |
Area Accumulation Functions Carol's notes from Riemann Sums and Sigma Notation |
Online Homework: Approximating sums. (Deadline extended until 11 p.m. on Sunday!) |
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| The Fundamental Theorem of Calculus and the indefinite integral. | Online Homework: Sigma notation and Riemann Sums; area accumulation. |
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Wednesday, December 10 |
Finish up with the Fundamental Theorem of Calculus and Area Accumulation Integration by Substitution. |
Section 5.5 in B&C | Do as much of the written homework Area Accumulation Functions and the Fundamental Theorem as possible. Come to class with questions. Hurricane Project due by 5 p.m. |
Friday, December 12 |
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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