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Course Procedures Functions, Calculus style! |
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Wednesday, Sept. 2 |
A Field Guide to Elementary Functions----Part I
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Sections 1.1-1.3 | Section 1.1; 8, 11, 37, 38.
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Friday, Sept. 4 |
A Field Guide to Elementary Functions----Part II
Intro to Maple. |
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Section 1.1; 16, 17, 18,34.
Appendix F. 1-16 Appendix E; 39, 42, 45, 46, 47, 48, 50, 51, 54, |
Monday, Sept. 7 |
Amount Functions and Rate Functions
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Section 1.4
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Appendix E; 57, 61, 62, 63, 64, 65, 66 |
Wednesday, Sept. 9 |
Local linearity ---a closer look
Lab: Estimating derivatives |
Section 1.5
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Fitting Sinusoidal graphs wksht--part III |
Friday, Sept. 11 |
Plotting the Rate Function Geometry of Derivatives--part I |
Section 1.6
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Optional Homework. (Not to turn in.) Section 1.5; 10, 13, 15, 18, 26, 27, 35. |
Monday, Sept. 14 |
Geometry of Derivatives--part II
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Sections 1.6 & 1.7
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Section 1.6; 4, 16-20, 25-30, 34.
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Wednesday, Sept. 16 |
Group Quiz #1
Derivatives and the Difference Quotient---Dealing w/ Symbols |
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Section 1.6; 37-45, 50(abcd), 53(abcd), 54.
Section 1.7; 1, 12, 13,15-18. Answer all questions with a brief COMPLETE sentence(s) that explains your reasoning. |
Friday, Sept. 18 |
Secant Lines and Tangent lines
The definition of the derivative |
Sections 2.1 & 2.2 |
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Monday, Sept. 21 |
Derivatives of Power functions
New Derivatives from Old---Sums, differences, constant multiples |
Section 2.2 (again!) |
Section 2.1; 7, 17-20, 30, 37, 41, 42, 44.
Use the definition of the derivative to find formulas for the derivatives of f(x)=x and f(x)=x^3. |
Wednesday, Sept. 23 |
Limits---part I
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Handout---getting down to details |
Section 2.2; 17-24, 25, 27, 30, 45-48
READ the HANDOUT carefully. |
Friday, Sept. 25 |
Limits---a work day
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Section 2.3 |
Homework from Handout on graphical, numerical and symbolic limits |
Monday, Sept. 28 |
Continuity and limits |
Section 2.4 through top of page 114 |
Section 2.3; 1,4,7, 49-52, 54,55, 57,60, 63-65,66, 67. Plus handout. |
Wednesday, Sept. 30 |
Differentiation and continuity |
Section 4.2 |
Review for the test.
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*Test # 1
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Monday, Oct. 5 |
Anti-Derivatives; Introducing diffeq's and IVP's | *
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Wednesday, Oct. 7 |
Modeling using DiffEq's |
Section 2.4 (pgs. 114-117) Section 2.5 |
Handout on differential equations; problems 4 and 5 only. (Save handout for next part of the assignment.)
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Friday, Oct. 9 |
Derivatives of Trigonometric Functions
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Section 2.7 |
Finish Handout on differential equations; Section 2.5; 2, 10, 13, 17, 42, 43, 47, 48, 49.
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Monday, Oct. 12 |
No class---October Break!* |
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Wednesday, Oct. 14 |
Derivatives of Exponential and Logarithmic Functions.
Introducing Crash and Scooter |
Section 2.6 |
Section 2.7; 1, 2, 7,10-13, 35.
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Friday, Oct. 16 |
New Derivatives from Old---products, quotients.
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Section 3.1 |
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Monday, Oct. 19 |
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). (Siimplify!)
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Wednesday, Oct. 21 |
Group Quiz #2 |
Section 3.2; 5-22, 26-28. Review the concept of an antiderivative!
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Friday, Oct. 23 |
Differentiating inverse functions; inverse trigonmetric functions.
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Section 3.4 |
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Monday, Oct. 26 |
Derivatives and local extrema---an introduction |
Section 3.4; 8, 9, 12, 14, 15, 18, 19, 23, |
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Wednesday, Oct. 28 |
Local vs. Global Maxima---the importance of the max-min theorem. Max/Min problems---a work day. |
Homework problems at end of Optimization Handout.
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Friday, Oct. 30 |
Differentiation Gateway Exam
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| Differential equations revisited | Bigger-Smaller Handout.
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Wednesday, Nov. 4 |
Loans and investments---a differential equations project |
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Handout: More initial value problems.
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Friday, Nov. 6 |
Introduction to Newton's method | ||
Monday, Nov. 9 |
Newton's Method for finding roots
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Handout |
Initial Newton's method exercises
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Wednesday, Nov. 11 |
Test # 2 |
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Friday, Nov. 13 |
Why Continuity Matters | Section 4.8 | *
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Monday, Nov. 16 |
Proving the Mean Value Theorem | Section 4.9 | |
Wednesday, Nov. 18 |
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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| Friday, Nov. 20 | Antidifferentiation workout | Recommended for final review: Proofs of the three corollaries plus their converses Section 4.8; 1-6, 7-15, 17and Section 4.9; 8-14. |
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Thanksgiving Break |
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Monday, Nov. 30 |
Net change and signed area---introducing the definite integral | Antidifferentiation handout | |
| Properties of the definite integral | Section 5.1 | Section 5.1 (part I): 2, 5, 6, 7, 11, 14, 15, 16, 17, 19, 21, 37 | |
Friday, Dec. 4 |
Area Accumulation function and its properties | Section 5.2 | Section 5.1 (part II): 23, 25, 27, 33-36, 37, 41, 42, 44, 46, 49, 50, 52, 53, 55, 56, 57. |
Monday, Dec. 7 |
The fundamental theorem of calculus | Section 5.3 | Section 5.2: 1-8, 15-20. |
Wednesday, Dec. 9 |
The indefinite integral Course Evaluation |
Section 5.3 (again!) | Section 5.3: 1, 3, 6, 7, 8, 9-16, 31. |
Friday, Dec. 11 |
More Antiderivatives |Integration by Substitution |
Section 5.4 | Definite and indefinite integrals handout.n |
Monday, Dec. 14 |
Integration practice |
Section 5.4: 1, 2, 4, 6, 7, 9, 11, 12, 14. | |
Final Examination
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