Assignments for Calculus I
Spring, 2015
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 12 | Introduction to MyMathLab Warm-up Exercises |
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| Wednesday, January 14 | 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 Homework: Orientation to MyMathLab and Sections 1.1 and 1.2 (this should be review, but reading the sections will help refresh your memory). |
| Friday, January 16 | Functions in Action Part II---Logarithmic Scales. | Written homework: Finish warm-up exercises. Online Homework: Exponentials, Logs and Inverse Functions |
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| Monday, January 19 | Trigonometric functions and their inverses Note: Class meets 10:40-11:20 due to MLK day of dialogue. |
BC&G Section 1.3 | 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 21 | Local Linearity and Rates of Change Mark Twain's Mississippi. |
B&C Section 2.1 | Written homework: Functions in Action Homework sheet. Online Homework: Section 1.3 |
| Friday, January 23 | The Derivative as a Rate of Change Interpreting the derivative |
Online Homework: Local Linearity and rates of change (Not to turn in: ) |
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| Monday, January 26 | The derivative function |
Written homework: Mark Twain's Mississippi (In pairs) |
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| Wednesday, January 28 | Geometry and the derivative, part I Lab: Pet Functions and their derivatives. |
Written homework: Interpreting Derivatives Homework on The Derivative Function |
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| Friday, January 30 | Quiz # 1---local linearity, rates of change, and the derivative function |
Written homework: Homework on The Derivative Function | |
| Monday, February 2 | Geometry and the derivative, cont. | Group project: Pet Functions---5 minute presentations |
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| Wednesday, February 4 | Finish Geometry and Derivatives Derivatives: an analytical approach. |
B&C: Review Section 2.1.Read Section 3.1 through pg. 129. (Stop at "Continuity.") |
Online Homework: Geometry and the derivative I. |
| Friday, February 6 | Difference quotients and derivatives | Handout---"Getting Down to Details" B&C Section 2.2 |
Written homework: Geometry and Derivatives Online Homework: Difference Quotients |
| Monday, February 9 | Introducing limits---graphical, numerical, and symbolic. |
Handout---"Getting Down to Details" B&C Section 2.2 |
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| Wednesday, February 11 | New Limits from Old |
B&C Section 2.3 | Written Homework: Computing Limits |
| Friday, February 13 | Continuity and Limits |
B&C Section 2.6 and B&C Section 3.1 starting at "Continuity" on pg. 121 | Online Homework: Limits, the basics. Written Homework: New Limits from Old. |
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| Monday, February 16 | Limits involving infinity | B&C Sections 2.4 & 2.5 | Online Homework: Continuity and Limits Written Homework: Continuity and Limits |
| Wednesday, February 18 | Differentiability and Continuity. |
Online Homework: Limits at infinity and infinite limits | |
| Friday, February 20 | Test #1 |
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| Monday, February 23 | Indeterminate forms of limits |
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| Wednesday, February 25 | 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, February 27 | Derivatives of Exponential functions. |
Online Assignment: Practicing Differentiation Rules, I | |
Spring Break |
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| Monday, March 16 | Introducing IVP's and Diffeqs Modeling using differential equations---Exponential Growth and decay. |
Basic Antiderivatives (handout) | |
| Wednesday, March 18 | More Modeling using differential equations---Introducing the Loans and Investments Project. Derivatives of Trigonometric Functions The Chain rule |
B&C Section 3.5 & 3.7 | Be sure to work problems 1-2 & and 8 & 9. Differential Equations and Their Solutions hmwk before this class. |
| Friday, March 20 | 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. |
| Monday, March 23 | Symbolic Differentiation. Bringing it all together: special double-long period. |
Deriving the Derivatives of the Inverse Trig Functions(Optional Reading Assignment) |
Online Homework: Practicing Differentiation II and Practicing the Chain Rule. actice taking Derivatives!!!! |
| Wednesday, March 25 | Introducing derivatives and local extrema | B&C Sections 4.1 & 4.2 | |
| Friday, March 27 | Differentiation Gateway Exam |
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| Monday, March 30 | Local vs. global maxima---the importance of the Extreme Value Theorem. |
Written Homework: Finding Critical Points (handout) |
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| Wednesday, April 1 | Applied Optimization----introduction and work day. | ||
| Friday, April 3 | Introducing the Optimization Project: Avoiding Hurricanes Writing a Formal Mathematical Report |
Online Homework: Maxima and Minima |
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| Monday, April 6 | Quiz # 2---Optimization |
Loans and Investments Project due in class on Monday, April 6. Written Homework: Bigger, Smaller problems due. |
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| Wednesday, April 8 | Geometry of Derivatives, part III: differentiable functions and their graphs. Newton's Method for Finding Roots |
Written homework: Complete preparatory exercises on Newton's method handout. | |
| Friday, April 10 | Theoretical underpinnings: the Mean Value Theorem and its corollaries. | B&C Section 4.6 | Written Homework: Calculus and Graphing |
| Monday, April 13 | 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 15 | Test #2 |
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| Friday, April 17 | 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 20 | Rates of change and total change. Signed area. | ||
| Wednesday, April 22 | 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 24 | Area Accumulation Functions |
Online Homework: Approximating sums. |
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| Monday, April 27 | The Fundamental Theorem of Calculus and the indefinite integral. | Online Homework: Sigma notation and Riemann Sums; area accumulation. |
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| Wednesday, April 29 | 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 1 | Integration Practice | Written Homework: Area Accumulation Functions and the Fundamental Theorem. Solutions here (Short) online Homework: Integration by substitution. |
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Final Examination
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