Math 165 Calculus I

New Information
The final course grades are now available in a PDF file, sorted by section.
More information about the grade cut offs will be posted later.
Examination papers can be picked up from the TAs this week or from Prof. Hogben starting May 11 (e-mail for an appointment).
When you pick up your paper, look at it carefully.
Once you leave with your final examination paper,
the only changes to your score on the final that can be made are to correct errors in the addition of scores.

Index

Homework assignments

All graded homework problems will be collected in recitation during the week AFTER the week they were
assigned except as noted below.
H1 was collected in recitation the first week.
No homework collection during the week of Feb. 2 due to test.  Homework collected the week of Feb 9 is 3.5.18 and 3.7.6.
No homework collection during the week of Feb. 23 due to test.  Homework collected the week of March 1 is 4.2.20, 4.3.30
No homework collection during the week of March 29 due to test.  Homework collected the week of April 5 is 5.3: 10, 5.4: 6, 5.5: 6
 
Date  Section Problems Graded Problems (section:problem)
4/23 7.7 9, 11, 37, 39, 40, 41, 50, 51 7.7: 40
4/21 7.5 1, 5, 7 - 9, 11-14, 17 7.5: 12
4/19 7.4 1, 3, 9, 13, 17, 18, 19, 21, 23, 25
4/19 7.3 29, 30, 31, 33, 35 7.3: 30
4/16 7.3 1 - 17 odd
4/16 7.2 1 - 7, 15 7.2: 2
4/14 7.1 3-5, 7, 9, 13, 15-19, 23-25 7.1: 16
4/12 5.8 1 - 17 odd, 18, 27 - 37 odd 5.8: 18
4/9 5.7 1, 3, 4, 5, 7, 9, 11, 15, 17, 19 5.7: 4
4/7 5.6 1, 2, 5-7, 13-22 5.6: 16
4/5 5.5 2, 11, 17, 18 5.5: 18
3/29 5.5 1, 3 - 7 5.5: 6
3/26 5.4 1, 3, 5, 6, 7, 9 5.4: 6
3/24 5.3 1, 2, 3, 9, 10, 11 5.3: 10
3/22 5.2 1, 5-8, 11, 15, 17, 23
3/12 11.3 5, 6, 9, 11, 15
3/10 5.1 1 - 25 odd, 26 5.1: 26
3/8 4.7 1, 2, 3, 23 4.7: 2
3/5 4.6 1, 2, 9, 28, 29, 52 4.6: 28
3/3 4.4 12, 14, 17, 19, 21 4.4: 14
3/1 4.4 1, 5, 8, 13 4.4: 8
2/27 4.3 1, 7, 9, 12, 13, 23, 30 4.3: 30
2/20 4.2 3, 5, 9, 11, 15, 17, 19, 20 4.2: 20
2/18 4.1 17, 21 - 24, 27, 29, 35
2/16 4.1 1, 2, 4, 5, 7, 10
2/13 3.10 1, 3, 5, 6, 21 3.10: 6
2/13 3.9 9, 10, 11
2/11 3.9 2 - 8 3.9: 4
2/9 3.8 1, 3, 5, 6, 9, 13, 14, 15, 19(rule ok), 34 3.8: 14
2/4 3.7 1, 3, 5, 6, 9, 10, 11 3.7: 6
2/2 3.5 14, 15, 17, 18, 27, 29, 33, 37, 43 3.5: 18
1/30 3.5 1, 5, 9, 11, 13
1/30 3.4 1, 2, 6, 8, 9, 10, 11, 15, 16 3.4: 10
1/28 3.3  1, 5, 11, 12, 17, 25, 28, 33, 37, 40, 45 3.3: 28
1/26 3.2 2, 3, 5, 8, 11, 13, 19, 37
1/26 3.1 13, 14, 19, 23, 24
1/23 3.1 1, 3, 4, 9(-2,1) 3.1: 4
1/21 2.9 1 - 4, 7, 12, 16, 17 2.9: 12
1/21 2.8 1, 2, 4, 5, 15, 16, 21, 22, 24, 37, 38 2.8: 4
1/16 2.7 1 - 7, 11 2.7: 6
1/14 2.6 1, 3, 4, 5, 8, 13, 16, 21, 22, 23, 27, 37 2.6: 22
1/12 2.4 1, 3, 4, 5, 19, 23, 29, 30, 39  2.4: 30
H1: What is my dog's name?


Lecture Notes

These notes are for the use of ISU students enrolled in Math 165 Spring 2004 for personal educational use only.
Any commercial use of these notes is expressly prohibited.  These notes are copyrighted 2004 by Leslie Hogben.
There is no guarantee of completeness or correctness.  Please notify Leslie Hogben of any corrections.
By clicking on the links below you agree to these terms of use.

Jan. 12-16          Lecture 1     Lecture 2 Lecture 3
Jan. 19-23          Lecture 4     Lecture 5
Jan. 26-30          Lecture 6     Lecture 7 Lecture 8
Feb. 2 - 6          Lecture 9     Lecture 10
Feb. 9 - 13         Lecture 11   Lecture 12  Lecture 13
Feb. 16 - 20       Lecture 14   Lecture 15  Lecture 16
Feb. 23-27         Lecture 17   Lecture 18  Lecture 19
March 1-5          Lecture  20   Lecture 21  Lecture 22
March 8-12        Lecture  23   Lecture 24  Lecture 25
March 22-26      Lecture  26   Lecture 27  Lecture 28
M 29- A 2          Lecture  29
April 5 - 9          Lecture 30    Lecture 31 Lecture 32
April 12 - 16      Lecture 33   Lecture 34  Lecture 35
April 19 - 23      Lecture 36  Lecture 37  Lecture 38


Examination Information

Final Exam for Math 165 is Monday May 3, 7-9 PM in Kildee 125.
There will be a make-up final exam on Friday, May 7
The make-up final may be taken instead of the regular final by permission only
and must have been arranged by April 26.

Dates:

Friday February 6 (in LeBaron 1010 during class)
Thursday evening Feb. 26 (Coover 2245)  Midterm 8-9:30 PM
Friday April 2 (in LeBaron 1010 during class)
Monday evening May 3 (in Kildee 125) Final 7 - 9 PM
 

Final
Objectives for Math 165

1 Limits
1. Use graphical and numerical evidence to estimate limits and identify situations where limits fail to exist.
2. Apply rules to calculate limits.
3. Use the limit concept to determine where a function is continuous.

2 Derivatives
1. Use the limit definition to calculate a derivative, or to determine when a derivative fails to exist.
*2. Calculate derivatives (of first and higher orders) with pencil and paper, without calculator or computer algebra software, using:
(a, b) Rules for sums, differences, multiples, products and quotients and the Chain Rule;
 (c) Rules for powers, trigonometric and inverse trigonometric functions, and for logarithms and exponentials (need to know: x^a, all trig functions, e^x, ln x, tan^-1 x).
3. Use the derivative to find tangent lines to curves.
4. Calculate derivatives of functions defined implicitly.
5. Understand change, average rate of change and instantaneous rate of change.  Interpret the derivative as a rate of change, especially velocity as the derivative of position.

3 Applications of the Derivative
2.6. Solve problems involving rates of change of variables subject to a functional relationship (related rates).
2. 7. Approximate functions by using linearization (differentials).
1. Find critical points, and use them to locate maxima and minima.
2. Use the first derivative to determine where a function is increasing or decreasing.
3. Use second derivatives to determine concavity and find inflection points.
4. Classify critical points by graphing and/or applying the first and/or second derivative tests.
5. Use your calculator and calculus (critical points and signs of first and second derivatives) to sketch graphs of functions.
6. Use Differential Calculus to solve optimization problems.
7. Apply the Mean Value Theorem.
8. Use Newton's method to improve approximate roots of equations.

4 The Integral
*1&4. Find antiderivatives of functions (recognizable antiderivatives and/or using substitution)
1a. Apply antiderivatives to solve separable first-order differential equations.
2. Use the definition to calculate a definite integral as a limit.
*3&4. Apply the Fundamental Theorem of Calculus to evaluate definite integrals (recognizable antiderivatives and/or using substitution)
3a. Apply the Fundamental Theorem of Calculus to differentiate functions defined as integrals.

5 Transcendental Functions (will appear throughout all of the above)
1. Use the relation between the derivative of a one to one function and the derivative of its inverse.
2. Calculate with exponentials and logarithms to any base.
3. Calculate derivatives of logarithmic, exponential and inverse trigonometric functions (need to know: e^x, ln x, tan^-1 x); interpret and apply such derivatives as usual.
4. Use logarithmic differentiation.
5. Use models describing exponential growth and decay.
6. Calculate indefinite and definite integrals of transcendental functions

Suggested Review Problems
1) All tests given this semester
2) Quizes
3) The following (homework) problems
2.4.7, 2.4.29, 2.6.5, 2.6.21, 2.7.1, 2.7.7, 2.8.5, 2.8.21, 2.9.1, 2.9.17, 2.9.27
3.1.3, 3.1.13, 3.2.8, 3.3.17, 3.3.25, 3.3.37, 3.3.45, 3.3.55, 3.4.9, 3.5.11, 3.5.17, 3.6.19, 3.6.21, 3.7.3, 3.7.9, 3.8.9, 3.8.13
3.9.3, 3.9.4, 3.9.7, 3.10.6, 4.1.4, 4.1.21, 4.1.24
4.2: 5, 15;  4.3: 7, 29; 4.4: 8, 13, 19;       4.6:1, 9, 29, 52;
11.3: 5, 9 and handout (see lecture notes 25);
5.1: 7, 13, 15, 25; 5.2: 5, 7, 8;  5.3: 1, 9;  5.4: 1, 6;
5.5: 3, 17; 5.6: 15, 17, 20;  5.7: 3, 5, 21, 23;  5.8: 1, 5, 9, 13, 29, 33;
7.1: 3, 9, 15, 19; 7.3: 13, 17, 29, 33; 7.4: 9, 17, 19, 23, 33;  7.5: 7, 11;  7.7: 5, 39, 41, 55
 

Test 3
Test 3 Solutions  Test 3 (version a)    Test 3 (version b)

Summary of objectives:

3 Applications of the Derivative
1. Find critical points, and use them to locate maxima and minima.
2. Use the first derivative to determine where a function is increasing or decreasing.
3. Use second derivatives to determine concavity and find inflection points.
4. Apply the first and second derivative tests to classify critical points.
5. Use critical points and signs of first and second derivatives to sketch graphs of functions.
6. Use Differential Calculus to solve optimization problems.
7. Apply the Mean Value Theorem.
8. Use Newton's method to improve approximate roots of equations.

4 Anti-derivatives
1. Find anti-derivatives of functions; apply anti-derivatives to solve separable first-order differential equations.

Suggested Review Problems (these problems provide better review than any old test or pracitce test)
4.2: 5, 15;  4.3: 7, 29; 4.4: 8, 13, 19;       4.6:1, 9, 29, 52;
11.3: 5, 9 and handout (see lecture notes 25);
5.1: 7, 13, 15, 25; 5.2: 5, 7, 8

There will be some review in class on Wednesday.

Note on Graphs:
You are responsible for knowing how calculus concepts relate to graphing, as described by the objectives, or evidenced in the practice final that is available on-line, or in assigned homework problems.  As a practical matter, we recognize graphs of functions given by formulas are best drawn with a calculator after some initial analysis to select one or more appropriate window(s) that exhibit(s) all important features of the graph.  You are expected to be able to use a calculator to draw graphs, even though such a question does not appear on the practice final.
Midterm
Midterm  Midterm Solutions
Objectives and review problems
The number by an objective refers to the original number in the Course Objectives document.
The suggested review problems test your mastery of the objectives,.
The number is c.s.p where c = chapter #, s = section number and p = problem number.

Objectives for Math 165-Applications of the Derivative
2.6. Solve problems involving rates of change of variables subject to a functional relationship.
2.7. Approximate functions by using differentials.
3.1. Find critical points, and use them to locate maxima and minima of a continuous function on a closed interval.
3.6. Use Differential Calculus to solve optimization problems.
Suggested Review Problems for Applications of the Derivative
3.9.3, 3.9.4, 3.9.7, 3.10.6, 4.1.4, 4.1.21, 4.1.24

Objectives for Math 165-Derivatives
2.1. Use the limit definition to calculate a derivative, or to determine when a derivative fails to exist.
2.2. Calculate derivatives (first and higher orders) with pencil and paper,
without calculator or computer algebra software, using:
(a, b) Rules for sums, differences, multiples, products and quotients and the Chain Rule;
(c) Rules for powers and trigonometric functions
2.3. Understand the tangent line to a curve and use the derivative to find tangent lines to curves.
2.4. Calculate derivatives of functions defined implicitly.
2.5. Understand change, average rate of change and instantaneous rate of change.
      Interpret the derivative as a rate of change, especially velocity as the derivative of position.
Suggested Review Problems for Derivatives
3.1.3, 3.1.13, 3.2.8, 3.3.17, 3.3.25, 3.3.37, 3.3.45, 3.3.55, 3.4.9, 3.5.11, 3.5.17, 3.6.19, 3.6.21, 3.7.3, 3.7.9, 3.8.9, 3.8.13

 Objectives for Math 165-Limits
1.1 Use graphical and numerical evidence to estimate limits and identify situations where limits fail to exist.
1.2 Apply rules to calculate limits.
1.3 Use the limit concept to determine where a function is continuous.
Suggested Review Problems for Limits
2.4.7, 2.4.29, 2.6.5, 2.6.21, 2.7.1, 2.7.7, 2.8.5, 2.8.21, 2.9.1, 2.9.17

Test 1   Test 1  and  solution.
Objectives for Limits
1. Use graphical and numerical evidence to estimate limits and identify
situations where limits fail to exist.
2. Apply rules to calculate limits.
3. Use the limit concept to determine where a function is continuous.
Suggested Review Problems for Limits
2..4.7, 2.4.29, 2.6.5, 2.6.21, 2.7.1, 2.7.7, 2.8.5, 2.8.21, 2.9.1, 2.9.17
Objectives for Math 165-Derivatives (Test 1)
(note these are taken from the course objectives, so some numbers are missing)
1. Use the limit definition to calculate a derivative, or to determine when a derivative fails to exist.
2. Calculate derivatives with pencil and paper, without calculator or computer algebra software, using:
(b) Rules for products and quotients and the Chain Rule;
(c) Rules for powers and trigonometric functions
Understand the rules for calculating derivatives.
3. Understand the tangent line to a curve and use the derivative to find tangent lines to curves.
5. Interpret the derivative as a rate of change, especially velocity as the derivative of position.
Suggested Review Problems for Derivatives (Test 1)
3.1.3, 3.1.13, 3.2.8, 3.3.17, 3.3.25, 3.3.37, 3.3.45, 3.3.55, 3.4.9, 3.5.11

Course Information

Policies (pdf format) revised Feb. 20

Haseena Ahmed's Policies B1, C1, D1, E1 (pdf format)

Course Objectives (pdf format)

syllabus

Meeting Time and Place

Lectures
MWF 10 AM in LEBARON 1010

Recitations:
Section Time Place
B1 9    Tues Carver 60
C1 10    Tues Carver 2
C2 10    Tues Carver 4
D1 9    Thurs Carver 60
E1 10    Thurs Carver 2
E2 10    Thurs Carver 4

Supplemental Instruction for Math 165

Mondays:    7-8:30 pm    Pearson 309
Thursdays:  4-5:30 pm    Carver 74

The Math Help Room is located in Room 196 Carver

Hours:
Monday and Wednesday, 12 noon-4pm
Tuesday and Thursday, 9am-3pm

Text

Instructor Information


my dog's name is Goldie

Iowa State University complies with the American with Disabilities Act and Section 504 of the Rehabilitation Act.  If a student has a disability that qualifies and requires accommodations, he/she should contact the Disability Resources (DR) office for information on appropriate policies and procedures. DR is located on the main floor of the Student Services Building, Room 1076; their phone is 515-294-6624. Any student who requires an accommodation under such provisions should contact Prof. Hogben privately as soon as possible and no later than the end of the first week of class or as soon as documentation of the need for accommodation is obtained. Contact may be made by e-mail (LHogben@iastate.edu), telephone (4-8168), or in person (office 488 Carver).  No retroactive accommodations will be provided in this class.
 
 
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