Assignments for Calculus I
Spring, 2016
Instructor: Carol Schumacher
Jump To: January, February, March, April , May
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Date |
Topic |
Reading Assignments |
Homework Assignments |
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| Monday, January 18 | Note: Class meets 9-9:40 due to MLK day of dialogue. Introduction to MyMathLab Warm-up Exercises |
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| Wednesday, January 20 | Questions on Course Syllabus and Course Procedures. Building Blocks of Functions Functions in Action Part I---polynomial and rational functions Exponential functions, Logarithmic Functions, Inverse Functions |
BC&G Sections 1.1 and 1.2 | Online Homeworks: Orientation to MyMathLab and Sections 1.1 and 1.2. Continue working on the Warm-up Exercises and work on written problems from BCG. |
| Friday, January 22 | Functions in Action Part II---Logarithmic Scales. | BC&G Section 1.3 | Written homework: Warm-up Exercises and Problems 15, 16, 26, 28, 39, 45, 46, 57, 75, 76, 77 in Section 1.2 of BCG. |
| Monday, January 25 | Trigonometric functions and their inverses. | BC&G Section 1.4 | Online Homework: Exponentials, Logs and Inverse Functions. Work on Functions in Action Homework handout! Be prepared to ask questions before they are due. Also, Practice with Maple! Work on getting really comfortable with the tools we have learned so far. |
| Wednesday, January 27 | Local Linearity and Rates of Change Mark Twain's Mississippi. |
B&C Section 2.1 | Written homework: Functions in Action Homework sheet. Online Homework: Trigonometric Functions |
| Friday, January 29 | The Derivative as a Rate of Change Interpreting the derivative |
Online Homework: Local Linearity and rates of change |
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| Monday, February 1 | The derivative function |
Written homework: Mark Twain's Mississippi (In pairs) |
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| Wednesday, February 3 | Geometry and the derivative |
Geometry of Graphs Vocabulary handout. | Written homework: Interpreting Derivatives |
| Friday, February 5 | Quiz # 1---local linearity, rates of change, and the derivative function |
Online Homework: Geometry and the derivative I.Written homework: Homework on The Derivative Function | |
| Monday, February 8 | Derivatives: an analytical approach. |
BC&G: Review Section 2.1.Read Section 3.1 through pg. 129. (Stop at "Continuity.") |
Work on Geometry and Derivatives homework |
| Wednesday, February 10 | Finish difference quotients and derivatives Introducing limits |
BC&G Section 2.2 |
Written homework: Geometry and Derivatives |
| Friday, February 12 | Prof. Schumacher is out of town-----Class is Cancelled |
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| Monday, February 15 | Introducing limits---graphical, numerical, and symbolic. | Handout---"Getting Down to Details" (again!) | Written Homework: Finding Derivatives using the Difference Quotient Definition. Online Homework: Limits, the basics. |
| Wednesday, February 17 | New Limits from Old |
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| Friday, February 19 | Limits and Continuity | BC&G Section 2.6 and B&C Section 3.1 starting at "Continuity" on pg. 121 | Written Homework: Computing Limits Written Homework: New Limits from Old. |
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| Monday, February 22 | Limits involving infinity |
B&C Sections 2.4 & 2.5 | Online Homework: Continuity and Limits Written Homework: Continuity and Limits |
| Wednesday, February 24 | Differentiability and Continuity. |
Online Homework: Limits at infinity and infinite limits | |
| Friday, February 26 | Test #1 |
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All Assignments below this line are tentative |
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| Monday, February 29 | Indeterminate forms of limits |
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| Wednesday, March 2 | First Differentiation rules New Derivatives from old: Sums and Differences, Products, Quotients |
B&C Sections 3.3 & 3.4 | Online Assignment: Basic Differentiation Practice. (We will work on this in class; due Wednesday at 11 p.m.) |
| Friday, March 4 | Derivatives of Exponential functions. |
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Spring Break |
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| Monday, March 21 | Derivatives of Exponential Functions Introduction to Antiderivatives. |
Online Assignment: Practicing Differentiation Rules, I | |
| Wednesday, March 23 | Introducing IVP's and Diffeqs Modeling using differential equations---Exponential Growth and decay. Introducing the Loans and Investments Project. |
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| Friday, March 25 | Derivatives of Trigonometric Functions |
B&C Section 3.5 & 3.7 |
Start work on Differential Equations and Their Solutions |
| Monday, March 28 | The Chain Rule as a theoretical machine: Derivatives of the Logarithm, The relationship between the derivative of a function and the derivative of its inverse. | B&C Sections 3.8 and 3.9 |
Written Homework due: Differential Equations and Their Solutions. |
| Wednesday, March 30 | Symbolic Differentiation. Bringing it all together: | Online Homework: Practicing Differentiation II and Practicing the Chain Rule. actice taking Derivatives!!!! | |
| Friday, April 1 | Differentiation Gateway Exam |
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| Monday, April 14 | Derivatives and local Extrema |
B&C Sections 4.1 & 4.2 | |
| Wednesday, April 6 | Local vs. global extrema---the importance of the Extreme Value Theorem. Applied Optimization----introduction and work day. |
Written Homework: Finding Critical Points Loans and Investments Project due. |
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| Friday, April 8 | More work on Applied optimization. | Online Homework: Maxima and Minima |
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| Monday, April 11 | Quiz # 2---Optimization |
Written Homework: Bigger, Smaller problems due. | |
| Wednesday, April 13 | Introducing the Optimization Project: Avoiding Hurricanes Newton's Method for Finding Roots |
Newton's Method Handout |
Written homework: Complete preparatory exercises on Newton's method handout. |
| Friday, April 15 | Theoretical underpinnings: the Mean Value Theorem and its corollaries. | B&C Section 4.6 | Written homework: Write-up of Newton's method lab. |
| Monday, April 18 | Proving the Mean Value Theorem. | Extra Credit Written homework: Newton's method lab, part III. (This homework score will replace your lowest homework score.) | |
| Wednesday, April 20 | Test #2 |
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| Friday, April 22 | Antidifferentation workout---lots of antiderivates to practice on. (Not to turn in.) | B&C Section 4.9 | Make sure that by this point you have made substantial progress on the Corollaries of the MVT. |
| Monday, April 25 | Rates of change and total change. Signed area. | ||
| Wednesday, April 27 | Approximating Areas under Curves and properties of the definite integral. Riemann sums: left, midpoint, right. |
B&C Sections 5.1 & 5.2 |
Online Homework: Practicing with indefinite integrals You should try to complete the first two problems on the Homework "Estimating Total Change from Rates of Change" by today |
| Friday, April 29 | Area Accumulation Functions |
Online Homework: Approximating sums. |
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| Monday, May 2 | The Fundamental Theorem of Calculus and the indefinite integral. | Written homework: Estimating Total Change from Rates of Change |
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| Wednesday, May 4 | 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, May 6 | 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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