Date |
Topic |
Reading Assignment |
Homework |
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| Monday, January 16 |
Course Procedures
Functions, Calculus style! |
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| Wednesday, January 18 |
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Sections 1.1-1.2 |
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| Friday, January 20 |
A Field Guide to Elementary Functions
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Section 1.3 & Appendices E and F.
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Section 1.1; 8, 9, 11, 16, 17, 18, 34, 37.
Section 1.2; 1, 4, 10, 12, 13, 16, 17, 55, 56.
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| Monday, January 23 |
Amount Functions and Rate Functions. |
Section 1.4 |
Section 1.3: 15, 16, 42, 43, 49.
Appendix E; (1, 4, 5, 7, 8, 10), 39, 42, 45, 46, 47, 48, 50, 51, 54, 57, 61, 62, 63, 64, 65, 66
Appendix F. 1, 2, 3, 7, 11, 13,15, 16, (23, 24, 25, 27, 29, 30, 33.) |
| Wednesday, January 25 |
Local linearity ---a closer look
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Section 1.4: 1, 3, 4, 7, 9, 10, 12-15. |
| Friday, January 27 |
Lab: Pet Functions and Intro to maple---Plotting the Rate Function
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Sections 1.5 (again!) and 1.6.
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Mark Twain's Mississippi. (Handout in small groups.) |
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| Monday, January 30 |
Geometry of Derivatives---part I
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Finish the work with your "pet functions" and Maple. No need to turn it in. We will (briefly) look at output on Monday.
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| Wednesday, February 1 |
Geometry of Derivatives---part II
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Derivative Functions Exercises (handout)
Section 1.6; 4, 16, 17, 18, 25, 26, 34.
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| Friday, February 3 |
Quiz #1
Finish Geometry of derivatives.
Derivatives and the Difference Quotient---Dealing w/ Symbols
Secant Lines and Tangent lines
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Section 2.1 |
Section 1.6; 19, 20-24, 25, 26, 29, 30, 31.
Answer all questions with a brief COMPLETE sentence(s) that explains your reasoning.
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| Monday, February 6 |
The definition of the derivative
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Sections 2.1 (again!) & 2.2 |
Section 1.6; 37-45.
Section 1.7; 1, 13,15-18.
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| Wednesday, February 8 |
Derivatives of Power functions
New Derivatives from Old---Sums, differences, constant multiples
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Section 2.1; 7, 17-20, 37, 41, 42, 44
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| Friday, February 9 |
Limits---graphical, numerical and symbolic
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Handout---getting down to details and Section 2.3 |
Section 2.2; 17-24, 25, 27, 30, 45-48
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| Monday, February 13 |
Limits, continued
Continuity and limits
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Section 2.3---Again! |
Homework from Handout on graphical, numerical and symbolic limits.
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| Wednesday, February 15 |
Differentiation and continuity
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Section 2.3; 1,4,7, 49-52, 54,55, 57,60, 63-65,66, 67.
Not to turn in; test practice: Handout (Continuity: Examples and Homework.) 2ef, 3, 6, 7.
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| Friday, February 17 |
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| Monday, February 20 |
Limits involving infinity
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Section 4.2
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| Wednesday, February 22 |
Anti-Derivatives
Introducing diffeq's and IVP's
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Section 2.4 (pgs. 114-117)
Section 2.5
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Section 4.2; 1-5, 7-9, 11, 13, 14, 20.
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| Friday, February 24 |
Derivatives of Exponential and Logarithmic Functions.
Introducing Crash and Scooter
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Section 2.6 |
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| Monday, February 27 |
Derivatives of Trigonometric Functions
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Section 2.7 |
Handout on differential equations |
| Wednesday, February 29 |
New Derivatives from Old---products, quotients.
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Section 3.1 |
Section 2.7; 1, 2, 7,10-13, 35. |
| Friday, March 2 |
New Derivatives from Old---Compositions
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Section 3.2 |
Section 3.1; 21-24, 26-29, 31, 42, 43-48, 49-51. Derive formulas for derivs of cot(x), sec(x), and csc(x). (Simplify!)
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Spring Break
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| Monday, March 19 |
Symbolic differentiation---bringing it all together; a work day. |
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Section 3.2; 5-22, 26-28. |
| Wednesday, March 21 |
Differentiating inverse functions; inverse trigonmetric functions.
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Section 3.4 |
Crash and Scooter Paper due |
| Friday, March 23 |
Modeling Using differential Equations
Loans and Investments Project |
Section 2.5
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Section 3.4; 8, 9, 12, 14, 15, 18, 19, 23.
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| Monday, March 26 |
Differentiation Gateway Exam
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Handout: More initial value problems. |
| Wednesday, March 28 |
Derivatives and local extrema---an introduction |
Section 4.3 |
Section 2.5; 2, 10, 13, 17, 42, 43, 47, 48, 49.
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| Friday, March 30 |
Local vs. Global Maxima---the importance of the max-min theorem.
Optimization---applied problems
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Review optimization handout |
Homework problems at end of Optimization Handout.
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| Monday, April 2 |
Optimization workday |
Review Section 4.3 & read through beginning on Sect. 2.4 on Derivatives, Maxima and Minima. |
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| Wednesday, April 4 |
Quiz #2---optimization
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| Friday, April 6 |
Newton's Method for finding roots
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Handout on Newton's Method |
Bigger-Smaller (Handout).
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| Monday, April 9 |
Why Continuity Matters |
Section 4.8 |
Handout: Newton's method problems.
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| Wednesday, April 11 |
Proving the Mean Value Theorem |
Section 4.9 |
Section 4.8; (7-15 recommended for general thinking about the ideas; not to turn in.), 17, 18abde, 22, 23, 25, 26, 28, 29, 35, 36, 38, 40. |
| Friday, April 13 |
The Mean Value Theorem and its consequences
Continuity and Differentiation work day. |
Section 4.9 (again!) |
Loans and Investments paper due
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| Monday, April 16 |
Antidifferentiation workout |
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Section 4.9; 8-14.
Recommended write-up (for final):
Proofs of the three corollaries plus their converses.
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| Wednesday, April 18 |
Net change and signed area---introducing the definite integral |
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Antidifferentiation handout |
| Friday, April 20 |
Test # 2 |
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| Monday, April 23 |
Properties of the definite integral |
Section 5.1 |
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| Wednesday, April 25 |
Area Accumulation function and its properties |
Section 5.2 |
Section 5.1 (part I): 2, 5, 6, 7, 11, 14, 15, 16, 17, 19, 21, 37 |
| Friday, April 27 |
Fundamental Theorem of Calculus
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Section 5.3 |
Section 5.1 (part II): 23, 25, 27, 33-36, 37, 41, 42, 44, 46, 54.
Section 5.2: 1-8, 15-20. |
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| Monday, April 30 |
The indefinite integral
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Section 5.3 (again!) |
Section 5.3: 1, 3, 6, 7, 8, 9-16, 31. |
| Wednesday, April 2 |
More Antiderivatives
|Integration by Substitution |
Section 5.4 |
Definite and indefinite integrals handout. |
| Friday, May 4 |
Integration practice |
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Section 5.4: 1, 2, 4, 6, 7, 9, 11, 12, 14. |
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Final Examination
Monday, May 7 from 8:30-11:30
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