Assignments for Calculus I, Section 3
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 |
| Tuesday, Sept 2 | Exponential functions and Logarithmic Functions |
B&C Section 1.3 | |
Wednesday, Sept. 3 |
Inverse Functions | ||
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 full credit for them, you must complete them by 11 p.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. |
| Tuesday, Sept 9 | Local linearity continued; Mark Twain's Mississippi. The Derivative as a Rate of Change. |
(Not to turn in: Practice with Maple! Work on getting really comfortable with the tools we have learned so far.) | |
Wednesday, Sept. 10 |
Interpreting the derivative | ||
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 the Derivative Homework (in groups) | |
| Tuesday, Sept 16 | Geometry and the derivative, part I | ||
| Wednesday, Sept. 17 | 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 the derivatives, cont Derivatives: an analytical approach. Introducing limits |
B&C: Review Section 2.1.Read Section 3.1 through pg. 129.(Stop at "Continuity.") | |
| Tuesday, Sept 23 | Limits---graphical, numerical, and symbolic | Handout---"Getting Down to Details" |
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Wednesday, Sept. 24 |
Written homework: Geometry and Derivatives |
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Friday, Sept. 26 |
Limits---graphical, numerical, and symbolic, cont. | (Handout---"Getting Down to Details" (again!) B&C Section 2.2 |
Online Homework: Difference Quotients |
Monday, Sept. 29 |
New Limits from Old |
B&C Section 2.3 | Written Homework: Computing Limits |
| Tuesday, Sept 30 | 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 may want to ask questions! (Write down questions from reading!) |
Wednesday, October 1 |
Limits involving infinity, cont. | Online Homework: Limits, The Basics |
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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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| Tuesday, October 7 | Test # 1 |
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No class; Professor Schumacher is out of town. |
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Friday, October 10 |
No class---October Break! |
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Monday, October 13 |
Indeterminate forms of limits Introducing the Rules for differentiation |
B&C Section 3.2 | |
| Tuesday, October 14 | More on the First Differentiation rules | ||
Wednesday, October 15 |
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 | |
| Tuesday, October 21 | Introducing the Loans and Investments Project. Derivatives of Trigonometric Functions |
B&C Section 3.4 | (Do at least problems 1,2,3,4,8,9 on handout: Differential Equations and Their Solutions.) |
Wednesday, October 22 |
The Chain Rule | B&C Section 3.6 | |
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. | Online Homework: Practicing Differentiation II and Practicing the Chain Rule Also Practice taking Derivatives!!!! |
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| Tuesday, October 28 | More Symbolic Differentiation! | ||
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: Derivatives and local extrema |
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| Tuesday, November 4 | Optimization workday. | ||
Wednesday, November 5 |
No class---Prof Schumacher out of town. Loans and Investments Project due by10 a.m. on Thursday, November 6. |
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Friday, November 7 |
Applied optimization continued. | Online Homework: Absolute Extrema | |
Monday, November 10 |
Quiz # 2---Optimization |
Written Homework: Bigger, Smaller problems due. | |
| Tuesday, November 11 | Newton's Method for Finding Roots | Handout---complete prep exercises. | |
Wednesday, November 12 |
Optimization Project Introduced. Writing a Formal Mathematical Report |
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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). | |
| Tuesday, November 18 | Test #2---Part I |
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Wednesday, November 19 |
Test #2---Part II |
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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 | |
| Tuesday, December 2 | Approximating Areas under Curves and properties of the definite integral. |
B&C Sections 5.1 & 5.2 |
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Wednesday, December 3 |
Riemann sums: left, midpoint, right. | ||
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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| Tuesday, December 9 | Finish up with the Fundamental Theorem of Calculus and Area Accumulation |
Do as much of the written homework Area Accumulation Functions and the Fundamental Theorem as possible. Come to class with questions. | |
Wednesday, December 10 |
Integration by Substitution. | Section 5.5 in B&C | 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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