|
Due Date |
|
|
Watch CD Tutorial
[# of minutes] * means optional |
A.1 Review of Real Numbers
A.3 Multiplying and Factoring 1.1 pp 3-6 On-line Interactive Algebra Review |
A.1: 1-21 odd
A.3: 1-13 odd; 31-39 odd BLACKBOARD background assessment quiz. |
Introduction [in class]
How to Do Math [in class] |
||
1.1 Functions and tables.
A.5 pp A.21-23 Solving equations |
1.1: 1-5, 7,9, 12, 15, 16, 22, 23, 25, 33
A.5 1-7 odd, 13-19 odd |
Functions [19] | ||
1.2 Graphs
Sensible Calculus 0.B.2 Functions On-line Tutorials |
1.2: 1,2,4,5 [Draw a mapping-transformation figure for each function
in this assignment]
[Read 0.B.2 to find out more about the mapping-transformation figure.] |
Graphing Lines [28] | ||
1.3 Linear functions
Functions and Linear Models On-line Tutorials |
1.2: 13, 15, 29 Draw a mapping figure for each function
1.3 : 1-9 odd, 11,12,15,21,23 |
On-line Mapping Figure
Activities-
(this may be slow downloading) |
The Two Questions of Calculus [10] | |
1.4 Linear Models. | 1.3: 27- 39 odd, 45, 47, 49
1.4: 1-9 odd |
Average Rates of Change [11] | ||
1.4 Linear Models. | 1.4: 12, 19, 21,22,29 | 1.4: 47 | Ok... catch up! :) | |
2.1 Quadratic functions | 2.1: 1-9 odd, 19, 21, 27 | Parabolas [22] | ||
3.1 Average Rate of Change | 3.1: 1-23 odd, 35, 36 | Rates of Change, Secants and Tangents [19] | ||
3.2 The Derivative: A Numerical and Graphical Viewpoint | 3.2: 1,5,7,9 | Finding Instantaneous Velocity [20] | ||
3.3 The Derivative: An Algebraic Viewpoint | 3.3: 1-11 odd | Slope of a Tangent Line [12]
Equation of a Tangent Line [18] |
||
3.4 The Derivative: Simple Rules | 3.4:1, 3, 5 | The Derivative [12]
Instantaneous Rate [15] |
||
3.4 (Again)
Chapter 3 Summary as relevant. |
3.2: 13, 17, 19; 33,35, 41
3.3: 13,15,17, 23, 25, 39 3.4: 11-33 odd |
More on Instantaneous Rate [19]
*The Derivative of the Reciprocal Function [18] *The Derivative of the Square Root [16] |
||
3.4 (Again) | 3.4: 39,45,49,51,61,63, 73 | Differentiability [3]
Short Cut for Finding Derivatives [14] Uses of The Power Rule [20] |
||
3.5
Marginal analysis
Chapter 3 Summary as relevant. |
3.5: 1,5,6,7,9,11 | Ok... catch up! | ||
3.5 (Again) | 3.4: 71, 75, 77, 81, 85, 87, 88
3.5: 15, 17,19, 25, 27 |
|||
4.1 Product Rule | 4.1: 13, 15, 17, 21 | 3.6: 29 | The Product Rule [21] | |
4.1: Quotient Rule | 4.1: 43, 47, 55; 27,29, 31, 39 | The Quotient Rule [13]
Introduction to The Chain Rule [18] |
||
4.2 The Chain Rule | 4.2 : 13- 21 odd, 55 | Using the Chain Rule [13]
Intro to Implicit Differentiation [15] |
||
4.4 Implicit Differentiation (Skip Examples 2 and 3!) | 4.2: 47,51, 53, 63, 64
4.5 :11, 15, 39, 41, 51 |
4.5: 57 | Finding the derivative implicitly [12]
Using Implicit Differentiation [23] |
|
A.2: Exponents | A.2: 15,19, 23, 39, 41, 71 | |||
5.4 Related Rates | 5.4: 9, 11, 13 | The Ladder Problem [14] | ||
2.2: Exponential Functions
and their Derivatives 4.3 |
5.4 17, 21, 25
2.2 : 3,9,11 |
The Baseball Problem [19]
Exponential Functions [10] |
||
Sensible Calculus I.F.2 | 4.3: 7,8, 45, 51, 53, 85 | Derivatives of Exp'l Functions [23] | ||
2.2 | 2.2: 7, 13, 17 | |||
2.3: Logarithmic functions | 2.2: 55, 61, 73 | Logarithmic Functions [19] | ||
4.3: Derivatives for Log's
Sensible Calculus I.F.2 |
2.3: 1-5, 7, 13
4.3:1,2, 15-19 odd, 23 |
Derivative of log functions [14] | ||
Midterm Exam #1 covers [8/28, 10/5] | Chapter 3 review: 2,3,4,5,9
(revised 10-7)Chapter 4 review: 1(a-d,g), 2(a,b), 4(a,b) |
|||
2.3 and 4.3 | 2.3: 9, 15, 21 | |||
2.3: 11, 31
4.3: 27, 29, 33, 73 |
Math Anxiety [6] | |||
4.5 Example 3 | 4.5: 35 , 36 | Distance and Velocity [22]
One Sided Limits [6] |
||
3.6: limits and continuity
P172-179 omit EX.3. |
3.6: 21, 23(a,b), 25(a-e), 27(a-e) | Continuity and discontinuity [4] | ||
3.7: limits and continuity
The Intermediate Value Theorem |
3.7: 59-62 | Higher order derivatives and linear approximations.[21]
Three Big Theorems [Begin-3.5] |
||
5.1: Maxima
and Minima
5.2. Applications of Maxima and Minima |
5.1: 1-11 odd
5.2: 5, 11, 13 |
The connection between Slope and Optimization
[28]
The Fence Problem[25] Optional: The Box Problem [20] |
||
5.1: Maxima
and Minima (again)
5.2. Applications of Maxima and Minima |
5.1: 13,15,21,23,25
5.2:15, 21 |
Intro to Curve Sketching [9]
Critical Points [18] The First Derivative Test [3] |
||
5.3 2nd deriv.pp283-285 | 5.1: 35, 39, 41, 44
5.3: 1,5,7,9,11,13 |
Regions where a function is increasing...[20]
Acceleration & the Derivative [6] Optional: The Can Problem[21] |
||
More 5.3 | 5.2: 25, 27, 29
5.3 : 17-23 odd; 25, 29,31, 35, 37 |
Morale Moment
Using the second derivative [17] Concavity and Inflection Points[13] The 2nd Deriv. test [4] |
||
5.2: 33, 41, 43 | 5.2: 56 | Domain restricted functions ...[11]
Horizontal asymptotes [18] Optional: Three Big Theorems [11] |
||
More 5.3
3.6 and 3.7 again! |
3.6: 1-11 odd
5.3: 39, 41, 45 |
Graphs of Poly's [10] | ||
3.6 and 3.7 | 3.6: 27,29,31
3.7: 15,17,21,23 5.3: 43, 47, 51, 67, 73 |
Vertical asymptotes [9]
Graphing ...asymptotes [10] Functions with Asy.. and holes[ 4] Functions with Asy..and criti' pts [17] |
||
On-Line: Linear Estimation | On-line
Problems on Linear Estimation
L1-6; A1-5; App1-3 |
III.AThe Differential | Cusp points &... [14]
Using tangent line approximations [25] |
|
5.5 Elasticity and other economic applications of the derivative. | 5.5: 1, 3 | Antidifferentiation[14] | ||
Differential equations and integration
IV.A
6.1 The Indefinite Integral p 315-321 |
6.1: 1-19 odd, 27, 37 | Antiderivatives of powers of x [18] | ||
6.1 Applications p321-323 | 6.1: 43-46,49,53, 55-57, 59 | Antiderivatives and Motion [20] | ||
Midterm Exam #2 covers [10/4,10/31] | Review: (will not be collected):
p.120:6 p254: 1(g,i),3a p312: 1(a,d),2,4,5 |
|||
6.3. The definite Integral As a Sum. | 6.3: 1-5 odd, 19, 23, 25 | Approximating Areas of Plane regions [10]
Areas, Riemann Sums, and Definite Integrals [14] |
||
6.4 The definite Integral: Area p345-348 | 6.4: 1-5 odd, 21, 23, 27 | The Fundamental theorem[17]
Illustrating the FT[14] |
||
6.5 pp354-359 (omit example 5 and 7)
The Fundamental theorem |
6.5 : 17-23 odd; 59,66 | Evaluating Definite Integrals [13] | ||
6.5 360-361 | 6.5: 29-32;71; 51-55odd | Gravity and vertical motion [19]
Solving vertival motion [12] |
||
6.2
Substitution pp326-329 (omit ex. 5)
7.2 p384-390 (Surplus and social gain) |
6.2: 1-7 odd; 25,27 | Undoing the chain rule.[9]
Integrating polynomials by Substitution [15] |
||
7.2 pp380-383 | 7.2:1,3,5,11, 15 | Area between two curves [9]
Limits of integration-Area [15] |
||
6.2 pp 330-331
6.5 example 5 |
OLD...7.2: 25, 37, 49
6.5: 9,11,37-43 odd,67,81 6.2: 35,37,39,63, 64 6.4:22 |
Integrating composite exponential and rational functions by substitution
[13]
Common Mistakes [16] |
||
7.2
7.3 pp 393-394+ |
7.3: 1-5 odd, 29, 39a | Finding the Average Value of a Function [8] | ||
8.1 Functions of Several Variables. | 8.1: 1-9 odd, 19, 20, 21, 29, 39, 43 | |||
8.2 | 8.2: 1-9 odd; 11-18; 19-25 odd;41, 49 | 8.2: 45 | ||
8.3 | 8.3: 1- 7 odd, 13, 41, 45 | |||
8.3 Second order partials | 8.3: 19-25 odd; 29,33,38,49 | |||
8.4 p463-465 Critical points | 8.4: 1-9 odd, 31, 35 | |||
8.4 :15,17,19, 21 | ||||
7.6 | 7.6: 1,3 | The first type of improper integral[10] | ||
7.5 p 407-408 | 7.5: 1-7 | The second type of ... [8]
Infinite Limits of integration ... [12] |
||
7.5 | 7.5:11, 13, 17 | |||
Probability
and
DARTS Future and present value. |
||||
2.3 | Summary is Due
2.3:1,3,4,5,7,11,13,31 |
The 20 minute review. | ||
7.4 | 7.4:1, 9, 25, 31 | |||
Final Examination: |
|
Monday |
|
Thursday | Friday |
Week 1 | 8-26Course Introduction | 8-27 Numbers, Variables, Algebra Review
The coordinate plane. Points and Lines. |
8-29 More Algebra review.
Begin Functions |
8-30 Functions, graphs and models. |
Week 2 | 9-2 No Class- Labor Day | 9-3 Meet in Lab. NHW 244 Functions, graphs, technology | 9-5 More Functions and Models: Linear Functions. | 9-6 Slopes, rates and estimation. More linear models. |
Week 3
Summary of Weeks 1&2 . |
9-9 Quadratic functions. | 9-10 Breath | 9-12 The Derivative.
Motivation: Marginal cost, rates and slopes. |
9-13 More on the Derivative. |
Week 4
POW #1 Due 9-26 |
9-16 Begin the Derivative Calculus | The Derivative Calculus I | Marginal Applications.
and . |
9-20 Justification of the power rule
Breath |
Week 5 | 9-23 Justify the sum and constant multiple rules. | Product rule.
Justify product rule. |
The Quotient rule. Breath | 9-27 The Chain Rule |
Week 6 | 9-30 Implicit Differentiation
More Chain Rule |
Implicit Functions and Related rates. | More related rates.Start Exponential functions | 10-4 Derivatives of Exponentials. |
Week 7
Midterm Exam #1 Self-Scheduled 10-9 Summary of Weeks 4, 5&6 Due 10-7 to 10-10 |
10-7 Interest and value
Start Logarithmic functions. |
Logarithmic functions. | Derivatives of Logarithms | 10-11 Models using exponentials
Breath |
Week 8 | 10-14 Logarithmic differentiation. | limits and continuity | limits and continuity | 10-18
Begin First Derivative Analysis Optimization The fence problem. |
Week 9 | 10-21 More Optimization and Graphing. | IVT, More optimization and Begin Second Derivative Analysis | Concavity and
Curves |
10-25
Horizontal Asymptotes. |
Week 10 : Summary of Weeks 7, 8, and 9
Due 10-29 |
10-28 Vertical Asymptotes | IVT | Differentials.
Relative error. |
11-1 NO Class (Payback for self scheduled exam #1.) |
Week 11
Self Scheduled Exam #2 11-6 |
11-4 Elasticity.
Begin Differential equations and integration IV.A |
Estimating costs from marginal costs.
Introduction to the definite Integral. More DE's. |
Finding area by estimates and using anti-derivatives
The definite integral. FT of calculus I . |
11-8 More definite integral and The FTofC. Area
Euler's Method and Area IV.E? |
Week 12
Summary of Weeks 10&11 Due 11-12 |
11-11 More area and applications. | More Area and applications: Interpreting definite integrals. |
Substitution Consumer& Producer Surplus; Social Gain. ? |
11-15 Substitution in definite integrals Average Value |
Week 13 | 11-18 Intro to functions of 2 or more. | Functions of 2 variables: level curves, graphs. |
Partial derivatives. 1st order. |
11-22 More on graphs of z=f(x,y)
2nd order partial derivatives Extremes (Critical points) |
Week 14 Fall Break | 11-25 No Class | No Class | 11-27 No Class | 11-29No Class |
Week 15
Summary of Weeks 12&13 |
12-2 DE's -Separation of variables: Growth models and exponential functions. | More DE's
Improper integrals I |
Least Squares example
Improper integrals II. |
12-6 Probability
DARTS |
Week 16
Final Summary |
12-9 More Probability
and
DARTS |
Begin Future and present value. | 12-13Future and present value. Applications of linear regression to other models using logarithms | |
Week 17 Final Examination | 12-16 | 12-17 | 12-19 | 12-20 |
|
Due Date |
|
|
Watch CD Tutorial
[# of minutes] * means optional |
A.1 Review of Real Numbers
A.3 Multiplying and Factoring 1.1 pp 3-6 On-line Interactive Algebra Review |
8-27&29 | A.1: 1-21 odd
A.3: 1-13 odd; 31-39 odd BLACKBOARD background assessment quiz. |
Introduction [in class]
How to Do Math [in class] |
|
1.1 Functions and tables.
A.5 pp A.21-23 Solving equations |
8-30 | 1.1: 1-5, 7,9, 12, 15, 16, 22, 23, 25, 33
A.5 1-7 odd, 13-19 odd |
Functions [19] | |
1.2 Graphs
Sensible Calculus 0.B.2 Functions On-line Tutorials |
9-3
Reminder: Class meets in NHW 244 |
1.2: 1,2,4,5 [Draw a mapping-transformation figure for each function
in this assignment]
[Read 0.B.2 to find out more about the mapping-transformation figure.] |
Graphing Lines [28] | |
1.3 Linear functions
Functions and Linear Models On-line Tutorials |
9-5 | 1.2: 13, 15, 29 Draw a mapping figure for each function
1.3 : 1-9 odd, 11,12,15,21,23 |
On-line Mapping Figure Activities- (this may be slow downloading) | The Two Questions of Calculus [10] |
1.4 Linear Models. | 9-6 | 1.3: 27- 39 odd, 45, 47, 49
1.4: 1-9 odd |
Average Rates of Change [11] | |
1.4 Linear Models. | 9-9 | 1.4: 12, 19, 21,22,29 | 1.4: 47 | Ok... catch up! :) |
2.1 Quadratic functions | 9- 10 | 2.1: 1-9 odd, 19, 21, 27 | Parabolas [22] | |
3.1 Average Rate of Change | 9-12 | 3.1: 1-23 odd, 35, 36 | Rates of Change, Secants and Tangents [19] | |
3.2 The Derivative: A Numerical Approach | 9-13/16 | 3.2: 1,5,7,9 | Finding Instantaneous Velocity [20] | |
3.3 The Derivative: A Geometric Approach | 9-16 | 3.3: 1-11 odd | Slope of a Tangent Line [12]
Equation of a Tangent Line [18] |
|
3.4 The Derivative: An Analytic Approach | 9/17 | 3.4:1, 3, 5 | The Derivative [12]
Instantaneous Rate [15] |
|
3.4 (Again)
Chapter 3 Summary as relevant. |
9/19 | 3.2: 13, 17, 19; 33,35, 41
3.3: 13,15,17, 23, 25, 39 3.4: 11-33 odd |
More on Instantaneous Rate [19]
*The Derivative of the Reciprocal Function [18] *The Derivative of the Square Root [16] |
|
3.4 (Again)
3.5 Marginal analysis |
3.4: 39,45,49,51,61,63
3.5: 1,5,6,7,9, 11 |
Differentiability [3]
Short Cut for Finding Derivatives [14] Uses of The Power Rule [20] |
||
3.5 (Again)
4.1 Product Rule |
3.4: 71, 75, 77, 81, 85, 87, 88
3.5: 15, 17,19, 25, 27 4.1: 13, 15, 17, 21 |
3.6: 29 | The Product Rule [21] | |
4.1: Quotient
Rule
4.2 The Chain Rule |
4.1: 43, 47, 55; 27,29, 31, 39 | The Quotient Rule [13]
Introduction to The Chain Rule [18] |
||
4.2 The Chain Rule | 4.2 : 13- 21 odd, 55 | Using the Chain Rule [13]
Intro to Implicit Differentiation [15] |
||
4.5 Implicit Differentiation (Skip Examples 2 and 3!)
A.2: Exponents |
4.2: 47,51, 53, 63, 64
4.5 :11, 15, 39, 41, 51 A.2: 15,19, 23, 39, 41, 71 |
4.5: 57 | Finding the derivative implicitly [12]
Using Implicit Differentiation [23] The Ladder Problem [14] |
|
5.4 Related
Rates
2.2: Exponential Functions and their Derivatives Sensible Calculus I.F.2 |
POW
#1 is Due.
5.4: 9, 11, 13, 17, 21, 25 2.2: 3, 7, 9,11, 13, 17, 55, 61, 73 4.3: 7,8, 45, 51, 53, 85 |
The Baseball Problem [19]
Exponential Functions [10] Derivatives of Exp'l Functions [23] |
||
2.3: Logarithmic functions | REDO 2.2: 3, 7, 9,11, 13, 17, 55, 61, 73 | Logarithmic Functions [19] | ||
2.4: Derivatives for Log's
Sensible Calculus I.F.2 |
2.3: 1-5, 7, 13
4.3:1,2, 15-19 odd, 23 |
Derivative of log functions [14] | ||
4.5 Example 3 | 4.5: 35
Midterm Exam #1 |
Chapter 3 review: 2,3,4,5,9
Chapter 4 review: 1(a-d,g,i), 2(a,b), 4(a,b) |
||
3.6: limits and continuity | Acceleration & the Derivative [6]
Distance and Derivative [22] One Sided Limits [6] Continuity and discontinuity [4] |
|||
3.7: limts and continuity
The Intermediate Value Theorem |
Higher order derivatives and linear approximations.[21]
Three Big Theorems [Begin-3.5] |
|||
3.6 and 3.7 (Again?!)
5.1: Maxima and Minima |
3.6: 21,22, 25 (a-e), 31
3.7: 59-62 5.1: 1-11 odd |
Three Big Theorems [11]
The connection between Slope and Optimization [28] The Box Problem [20] Math Anxiety [6] |
||
5.1: Maxima
and Minima (again)
5.2. Applications of Maxima and Minima |
5.1: 13,15,21,23,25, 35, 39, 41, 44
POW #2 is Due. |
Intro to Curve Sketching [9]
The Can Problem[21] Critical Points [18] The First Derivative Test [3] |
||
5.2. Applications
of Maxima and Minima
5.3 2nd deriv. |
5.2: 5, 11, 13
5.3: 1,5,7,9,11,13 |
Regions where a function is increasing...[20]
Concavity and Inflection Points[13] Using the second derivative [17] Morale Moment |
||
3.6 and 3.7 again!
More 5.3 |
5.2: 15, 21, 25, 27, 29, 33, 41, 43
5.3 : 17-23 odd; 25, 29,31, 35, 37 |
5.2: 56 | Graphs of Poly's [10]
Cusp points &... [14] Domain restricted functions ...[11] The 2nd Deriv. test [4] Horizontal asymptotes [18] |
|
More 5.3 | 3.6: 1-11odd
5.3: 39, 41, 43, 45, 47, 51, 67 |
Vertical asymptotes [9]
Graphing ...asymptotes [10] Functions with Asy.. and holes[ 4] Functions with Asy..and criti' pts [17] |
||
5.5 Elasticity and other economic applications of the derivative.
On-Line: Linear Estimation |
5.3: 73
5.5: 1, 3 On-line Problems on Linear Estimation L1-6; A1-5; App1-3 |
III.AThe Differential | Using tangent line approximations [25]
Antidifferentiation[14] |
|
Differential equations and integration IV.A
6.1 The Indefinite Integral p 315-321 |
6.1: 1-19 odd, 27, 37 | Antiderivatives of powers of x [18] | ||
6.1 Applications p321-323
6.3. The definite Integral As a Sum. 6.4. The definite Integral: Area p345-348 |
6.1: 43-46,49,53, 55-57, 59
6.3: 1-5 odd, 19, 21 |
Approximating Areas of Plane regions [10]
Areas, Riemann Sums, and Definite Integrals [14] |
||
6.4
6.5 {omit example 5) The Fundamental theorem |
6.4: 1-5 odd, 21, 23, 27
6.5 : 17-23 odd; 59,61 |
The Fundamental theorem[17]
Illustrating the FT[14] Evaluating Definite Integrals [13] |
||
Midterm Exam #2 | Antiderivatives and Motion [20]
Gravity and vertical motion [19] Solving vertival motion [12] |
|||
6.5 360-361
6.2 Substitution pp326-329 (omit ex. 5) |
6.5: 29-32;71; 51-55odd
6.2: 1-7 odd; 25,27 |
Undoing the chain rule.[9]
Integrating polynomials by Substitution [15] Integrating composite exponential and rational functions by substitution [13] |
||
6.2 pp 330-331
6.5 example 5 ? 7.2 pp380-383? |
6.5: 9,11,37-43 odd,67,81
6.2: 35,37,39,63, 64 6.4:22 |
Area between two curves [9]
Limits of integration-Area [15] Common Mistakes [16] |
||
7.2
7.3 pp 393-394+ |
7.2:1,3,5,11; 15, 25, 37, 49 | Finding the Average Value of a Function [8] | ||
7.3
8.1 Functions of Several Variables. |
Summary is Due
7.3: 1-5 odd, 29, 39a 8.1: 1-9 odd, 19, 20, 21, 29, 39, 43 |
|||
8.2
and 8.3
7.6 |
8.2: 1-9 odd; 11-18; 19-25 odd;41, 49
8.3: 1- 7 odd, 13, 41, 45 7.6: 1,3 |
8.2: 45 | ||
8.3 | 8.2:19-25 odd (again)
8.3: 19-25 odd; 29,33,38,49 |
The first type of improper integral[10] | ||
7.5 p 407-408
8.4 |
7.5: 1-7
8.4: 1-9 odd, 31, 35 |
The second type of ... [8]
Infinite Limits of integration ... [12]? |
||
2.3 | Summary is Due
Check on-line quiz #17 ! 2.3:1,3,4,5,7,11,13,31 |
The 20 minute review. | ||
7.4
7.5 |
7.4:1, 9, 25, 31
7.5:11, 13, 17 |
|||
Final Examination: |
|
Monday |
|
Thursday | Friday |
Week 1 | 8-26 Course Introduction | 8-27 Numbers, Variables, Algebra Review
The coordinate plane. Points and Lines. |
8-29 More Algebra review.
Begin Functions |
8-30 Functions, graphs and models. |
Week 2 | 9-2 No Class- Labor Day | 9-3 Meet in Lab. NHW 244 Functions, graphs, technology | 9-5 More Functions and Models: Linear Functions. | 9-6 Slopes, rates and estimation. More linear models. |
Week 3
Summary of Weeks 1&2 . |
9-9 Quadratic functions. | 9-10 Breath | 9-12 The Derivative.
Motivation: Marginal cost, rates and slopes. |
9-13 More on the Derivative. |
Week 4
POW #1 |
9-16 Begin the Derivative Calculus | 9-17 The Derivative Calculus I
The fence problem? |
9-19 Marginal Applications.
Justification of the power rule and the sum rule. |
9-20 Breath |
Week 5
Summary of Weeks 3&4 |
9-23 Product rule.
Justify product rule? |
9-24 The Quotient rule. | 9-26 Breath | 9-27 The Chain Rule |
Week 6
POW #2 |
9-30 Implicit Differentiation
More Chain Rule |
10-1 Implicit Functions and Related rates. | 10-3 More related rates. | 10-4 Breath |
Week 7
Summary of Weeks 5&6 |
10-7 Start Exponential functions
Interest and value. |
10-8 Derivatives of Exponentials. | 10-10 Logarithmic functions. | 10-11 Derivatives of Logarithms |
Week 8
POW #3 |
10-14 Logarithmic differentiation. | 10-15 Models using exponentials | 10-17 limits and continuity
IVT - Bisection Method |
10-18 More IVT |
Week 9
Summary of Weeks 7&8 |
10-21 Begin First Derivative Analysis
Optimization |
10-22More Optimization
Begin second derivatives |
10-24 More optimization and Second Derivative Analysis
More on Concavity |
10-25 Curves III Horizontal Asymptotes.
Vertical Asymptotes |
Week 10 : | 10-28 Differentials .
Relative error. |
10-29 More on differentials.
Begin Differential equations and integration IV.A |
10 -31 Estimating costs from marginal costs. Introduction to the definite
Integral.
More DE's. |
11-1Finding area by estimates and using anti-derivatives |
Week 11
Summary of Weeks 9&10 |
11-4 The definite integral.
FT of calculus I |
11-5 More definite integral and The FTofC. Area. | 11-7Euler's Method and Area IV.E? | 11-8 Substitution |
Week 12 | 11-11
Substitution in definite integrals More area and applications. |
11-12 More Area and applications: | 11-14Interpreting definite integrals.Consumer& Producer Surplus; Social Gain. | 11-15 Average Value |
Week 13
Summary of Weeks 11&12 |
11-18Intro to functions of 2 or more. | 11-19Functions of 2 variables: level curves, graphs.Partial derivatives. 1st order. | 11-21DE's -Separation of variables: Growth models and exponential functions. | 11-22Breath |
Week 14 Fall Break | 11-25 No Class | 11-26 No Class | 11-28 No Class | 11-29No Class |
Week 15 | 12-2
More on graphs of z=f(x,y) 2nd order partial derivatives |
12-3Extremes (Critical points) | 12-5 Improper integrals and value | 12-6 Least Squares. |
Week 16
Final Summary |
12-9Applications of linear regreession to other models using logarithms | 12-10 Future and present value | 12-12 Probability | 12-13 |
Week 17 Final Examination | 12-16 | 12-17 | 12-18 | 12-19 |
Every two weeks partnerships will submit a response to the "problem/activity
of the week." All cooperative problem work will be graded as
follows: 5 well done, 4 for OK, 3 acceptable,
or 1 unacceptable.
Summary work will be used along with the
problem of the week grades will be used in determining the 50 points allocated
for cooperative assignments.
Reality Quizzes | 100 points |
Homework | 60 |
2 Midterm Examinations | 200 points |
Cooperative work | 40 points |
Final Examination | 200 or 300 points |
Total | 600 or 700 points |
You may use my office hours for some additional work on these background areas either as individuals or in small groups. My office time is also available to discuss routine problems from homework after they have been discussed in class and reality check quizzes as well as using technology. Representatives from groups with questions about the Problem of the Week are also welcome.
I will try to organize and support additional time with small (or
larger) groups of students for whom some additional work on these background
areas may improve their understanding of current coursework.
Regular use of my time outside of class should be especially useful
for students having difficulty with the work and wishing to improve through
a steady approach to mastering skills and concepts.
Don't be shy about asking for an appointment
outside of the scheduled office hours.